{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tracking" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tutorial introduces the ``pvlib.tracking`` module. This module currently only contains one function, ``tracking.singleaxis``, but we hope to add dual axis tracking support in the future. \n", "\n", "The ``tracking.singleaxis`` function is a port of the PVLIB MATLAB file ``pvl_singleaxis.m``. The algorithm is based on [Lorenzo et al, *Tracking and back-tracking*, Prog. in Photovoltaics: Research and Applications, **19**, 747-753 (2011)](http://dx.doi.org/10.1002/pip.1085). Most of the Python and MATLAB algorithms are identical except for name changes to conform to the PEP8 Python style guide. There are few spots, noteably in the calculation of [``surface_azimuth``](#Surface-tilt-and-azimuth), that our implementation differs from the MATLAB implementation.\n", "\n", "Table of contents:\n", "1. [Standard Python and pvlib setup](#Setup).\n", "2. [Walk through each step of the single axis tracking algorithm](#Single-axis-tracker-algorithm).\n", "3. [Use the ``tracking.singleaxis`` function to explore the impacts of tracker tilt, tracker azimuth, and backtracking](#tracking.singleaxis-examples).\n", "\n", "This tutorial has been tested against the following package versions:\n", "* pvlib 0.2.0\n", "* Python 2.7.10\n", "* IPython 3.2\n", "* Pandas 0.16.2\n", "\n", "It should work with other Python and Pandas versions. It requires pvlib > 0.3.0 and IPython > 3.0.\n", "\n", "This tutorial was written by\n", "* Will Holmgren ([@wholmgren](http://wholmgren.github.io)), University of Arizona. March, 2015, July 2015, March 2016.\n", "* Some of the text is based on the comments in ``pvl_singleaxis.m``, presumably written by the PVLIB_MATLAB team at Sandia National Laboratory." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Standard scientific Python imports." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# plotting modules\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "try:\n", " import seaborn as sns\n", " sns.set(rc={\"figure.figsize\": (12, 6)})\n", "except ImportError:\n", " print('We suggest you install seaborn using conda or pip and rerun this cell')\n", " \n", "# built in python modules\n", "import datetime\n", "\n", "# python add-ons\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import pvlib\n", "from pvlib.tools import cosd, sind\n", "from pvlib.location import Location" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make some ``pvlib Location`` objects. These are the standard inputs to the solar position calculator." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Tucson: latitude=32.2, longitude=-111, tz=US/Arizona, altitude=700\n", "Johannesburg: latitude=-26.2044, longitude=28.0456, tz=Africa/Johannesburg, altitude=1753\n" ] } ], "source": [ "tus = Location(32.2, -111, 'US/Arizona', 700, 'Tucson')\n", "print(tus)\n", "johannesburg = Location(-26.2044, 28.0456, 'Africa/Johannesburg', 1753, 'Johannesburg')\n", "print(johannesburg)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate solar position at those locations. To start, we'll choose times near an equinox. Later, we'll test against times near a solstice." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "times = pd.date_range(start=datetime.datetime(2014,3,23), end=datetime.datetime(2014,3,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "ephemout = ephem_tus # default for notebook" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Single axis tracker algorithm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The steps of the tracking algorithm are:\n", "1. [Define input parameters](#Inputs).\n", "2. [Transform solar position to South facing coordinate system](#Transform-to-south-facing-coordinate-system).\n", "2. [Transform solar position to panel coordinate system](#Transform-to-panel-coordinate-system).\n", "2. [Determine the ideal tracking angle when ignoring backtracking](#Tracking-angle).\n", "2. [Correct the tracking angle to account for backtracking](#Backtracking).\n", "2. [Calculate the panel normal vector based on tracking angle](#Calculate-panel-normal).\n", "2. [Calculate the solar angle of incidence](#AOI).\n", "2. [Calculate the panel tilt and azimuth](#Surface-tilt-and-azimuth)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Inputs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, define the input parameters. From the ``tracking.singleaxis`` docstring..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " apparent_zenith : Series\n", " Solar apparent zenith angles in decimal degrees. \n", "\n", " azimuth : Series\n", " Solar azimuth angles in decimal degrees.\n", "\n", " latitude : float\n", " A value denoting which hempisphere the tracker is\n", " in. The exact latitude is NOT required, any positive number denotes\n", " the northern hemisphere, any negative number denotes the southern\n", " hemisphere, a value of 0 is assumed to be northern hemisphere.\n", "\n", " axis_tilt : float\n", " The tilt of the axis of rotation\n", " (i.e, the y-axis defined by axis_azimuth) with respect to horizontal, \n", " in decimal degrees.\n", "\n", " axis_azimuth : float\n", " A value denoting the compass direction along which\n", " the axis of rotation lies, in decimal degrees. \n", "\n", " max_angle : float\n", " A value denoting the maximum rotation angle, in\n", " decimal degrees, of the one-axis tracker from its horizontal position\n", " (horizontal if axis_tilt = 0). \n", " A max_angle of 90 degrees allows the tracker to rotate to a vertical\n", " position to point the panel towards a horizon. \n", " max_angle of 180 degrees allows for full rotation.\n", "\n", " backtrack : bool\n", " Controls whether the tracker has the\n", " capability to \"backtrack\" to avoid row-to-row shading. \n", " False denotes no backtrack capability. \n", " True denotes backtrack capability. \n", "\n", " gcr : float\n", " A value denoting the ground coverage ratio of a tracker\n", " system which utilizes backtracking; i.e. the ratio between the PV\n", " array surface area to total ground area. A tracker system with modules 2\n", " meters wide, centered on the tracking axis, with 6 meters between the\n", " tracking axes has a gcr of 2/6=0.333. If gcr is not provided, a gcr\n", " of 2/7 is default. gcr must be <=1." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "azimuth = ephemout['azimuth']\n", "apparent_azimuth = ephemout['azimuth'] # not much difference, so cheat\n", "apparent_zenith = ephemout['apparent_zenith']\n", "axis_tilt = 0\n", "axis_azimuth = 170\n", "latitude = 32\n", "max_angle = 65 \n", "backtrack = True\n", "gcr = 2.0/7.0\n", "\n", "times = azimuth.index" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transform to south facing coordinate system" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The reference that this algorithm is based on used an Earth coordinate system where y points south. So, we first transform our solar position vector to this new coordiante system." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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XEODtwoPXJhDQAWbm6Gjts6X5+7tz6FgJr3+1m6wiI4lRftw5MQ697tJnquho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XAAAg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\nbfMiW3ch2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U4neZ7B6TnPHh4eGI1G3n33XWbOnIler6e6upqAgAAMBgODBw/G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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "az = apparent_azimuth - 180\n", "apparent_elevation = 90 - apparent_zenith\n", "x = cosd(apparent_elevation) * sind(az)\n", "y = cosd(apparent_elevation) * cosd(az)\n", "z = sind(apparent_elevation)\n", "\n", "earth_coords = pd.DataFrame({'x':x,'y':y,'z':z})\n", "\n", "earth_coords.plot()\n", "plt.title('sun position in Earth coordinate system')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transform to panel coordinate system" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Transform solar vector to panel coordinate system. For North-South oriented trackers parallel to the ground, the only difference is the sign of the x component. The x components are the same if ``axis_azimuth=180`` and opposite if ``axis_azimuth=0``." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cos(axis_azimuth_south)=0.984807753012208, sin(axis_azimuth_south)=-0.17364817766693033\n", "cos(axis_tilt)=1.0, sin(axis_tilt)=0.0\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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UVjUyc2w31GrXOJ/bM2mRFvKp1cEkn47lrvm0NzZSse5bKjesQzGb0QYHEzzp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\nmvBAHYdOFXIyp1zuOIKFXazOZUHqInJrr9ArqAd/TJpFmE6+9l6VPx6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9X2ZE1DC72FD4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\no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sEQFY3pN2MIHjy01fsmudnQQ1xNTTRs30r9hvU0Hz0CgE+nWExjLiV4yNBWXeHnQm5I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\nnDlT3VIujMvl4vXXX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axis_azimuth_south = axis_azimuth - 180\n", "\n", "print('cos(axis_azimuth_south)={}, sin(axis_azimuth_south)={}'\n", " .format(cosd(axis_azimuth_south), sind(axis_azimuth_south)))\n", "print('cos(axis_tilt)={}, sin(axis_tilt)={}'\n", " .format(cosd(axis_tilt), sind(axis_tilt)))\n", "\n", "xp = x*cosd(axis_azimuth_south) - y*sind(axis_azimuth_south);\n", "yp = (x*cosd(axis_tilt)*sind(axis_azimuth_south) +\n", " y*cosd(axis_tilt)*cosd(axis_azimuth_south) -\n", " z*sind(axis_tilt))\n", "zp = (x*sind(axis_tilt)*sind(axis_azimuth_south) +\n", " y*sind(axis_tilt)*cosd(axis_azimuth_south) +\n", " z*cosd(axis_tilt))\n", "\n", "panel_coords = pd.DataFrame({'x':xp,'y':yp,'z':zp})\n", "\n", "panel_coords.plot()\n", "plt.title('sun position in panel coordinate system')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tracking angle" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " The ideal tracking angle ``wid`` is the rotation to place the sun position \n", " vector ``(xp, yp, zp)`` in the ``(y, z)`` plane; i.e. normal to the panel and \n", " containing the axis of rotation. ``wid = 0`` indicates that the panel is \n", " horizontal. Here, our convention is that a clockwise rotation is \n", " positive, to view rotation angles in the same frame of reference as \n", " azimuth. For example, for a system with tracking axis oriented south, \n", " a rotation toward the east is negative, and a rotation to the west is \n", " positive." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use ``arctan2``, but PVLIB MATLAB uses ``arctan``. Here prove that we get the same result." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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1wdXVVsayHsl41i8Zz/ojY1m/ZDzrl4xn/ZLxrD+urrY3vK1Bg/Tf/vY33njjDfR6PQEB\nAQwbNgyVSsX06dOZOnUqiqLw4osv1h29KoQQQgghRGPVpPeRln9p1Q/5V2v9kvGsXzKe9UfGsn7J\neNYvGc/6JeNZf/5oRlqOCBdCCCGEEOI2SJAWQgghhBDiNkiQFkIIIYQQ4jZIkBZCCCGEEOI2SJAW\nQgghhBDiNkiQFkIIIYRoYmpqati4ce0dtfHdd1+zbt3qq762ZctGDh06cEft3qktWzYyf/7nJq3h\nZkmQFkIIIYRoYvLz89iwYV29tzt8+Ch69uxd7+3eKpVKZeoSbkqDHsgihBBCCNHcLN99gRPxOfXa\nZtcQNyYNCLzh7QsXfk9q6kV++OEbjEYjMTFnqKys5O9/f4MtWzZx8WIiubn5BAYG8fe//4OioiLm\nzp1DWdmVvaVfe+2fdW1lZKTz5puv8fe/v8HevbtxcnLG17cVixf/iE6nIzMzk4EDBzNjxsNkZKQz\nd+6b6HQ63N1bcPlyJp999lVdW0ajkf/933+Rk5NDfn4evXr14dFHn+Rf//onOp2Oy5cvU1CQz2uv\nzSEoKJiNG9eyevUK7Ozs0Wq1DBw45KrnuWrVMnbs2IZKpWLQoCGMHz+5Xsf5TsmMtBBCCCFEE/PQ\nQw/TqpU/M2c+CkCrVn7Mm/ctLi6u2Nra8e233/LNNwuJjT1LXl4eP/74Lb169WXevO945pkXiIuL\nBSAtLYU333yNN9+ci7//leD+62xwdnYW//rXB3z11ff8/PNCAL744j889NAj/Oc/82jbtv01M8c5\nOdm0adOWDz/8lK+//oG1a1fW3daihQcfffQZ48dPYt26NRQXF7F48ULmz/+ejz76nKqqqqvaSkm5\nyK5dO5g371u++GIB+/fv5dKltLszoLdJZqSFEEIIIe7ApAGBfzh73BB8fHwBMDMzp7CwgJdeegmV\nSkdlZSW1tbWkpaUyatQYAMLD2xIe3pbvvvuao0cPo9VqUauvnVv19w9EpVJhYWGBubkFAKmpFwkP\nbwtA+/Yd2LFj61WPsbOzIy4ultOnf8HS0hq9Xl93W+vWwQC4ublz9mw06enp+PkFYGZm9t+62l3V\nVnJyEllZl/nLX55CURTKykpJT0/D29unPoasXsiMtBBCCCGatJyiSpIzS0xdRoNSqVQYjcbffH4l\n0h09epicnCw+/PBDnnjiGaqrqwGFVq38iIuLASAq6hTz5n0GwKRJU3nuuRd55505V7V3LQW4Eq7P\nnj0DQEzM2WvutXnzBmxt7XjjjbeZMmXaVbPMv5+99vLyIi0thZqaGoxGY90s+a98fHzx9w/g00/n\n89lnXzF8+CgCAoJuboAaiMxICyGEEKJJ0tca2HQklc1HU9Fq1HzxQp8mc5HanXJ0dKK2Vs/8+Z9j\nbm5e9/WwsDb8+OO3TJ8+nZqaWjw8PMnLy2X69Fm8++4/2bZtC2q1mldeeYMtWzYC0KVLN/bu3cXi\nxQuvGr+rx/LKx08++SzvvvsWS5f+hLW1NVrt1VGyc+du/POfrxMTcwadToe3ty95eXnXfQ729g5M\nnTqDZ555FFtbe2pqqtFqtdTW1gIQGBhEp05deeqpR9Dr9YSFtcHV1a0+hq/eqBRFUUxdxO3KzS01\ndQnNgqurrYxlPZLxrF8ynvVHxrJ+yXjWr1sdz3MpBSzalkB2YSWOtubMGBpM+0CXu1hh03K3Xp/b\nt2+lTZtwPD292LhxLTExZ3nllTduqy2DwcDixT8yY8bDADzzzGM8/vgztG/foT5LvmOurrY3vE1m\npIUQQgjRZJRW1LB0VyJHYrNRqWBwF28ie/thaS6RpiG4u7szZ86rWFhYoNFobjtEA2g0GiorK3n4\n4QcxMzMjLKxNowvRf0ZmpIXMqtQzGc/6JeNZf2Qs65eMZ/26mfE8mZDLom3xlFToadXCloeGheDb\n4sazhfcyeX3WH5mRFkIIIUSTVVap5+cd5zl6LhutRs2k/oEM6eqNWn1vrIcWjZcEaSGEEEI0WqcT\nc1m4NYHi8hr8Pex4ZGQoLZ2tTV2WEIAEaSGEEEI0QuVVepbsTORwTBZajYqJ/QIY0s0bzXX2OxbC\nVCRICyGEEKJROZOUxw9b4ikqq6FVC1seGRmKp6uNqcsS4hryzzohhBBCNAoVVbV8tzmOT1acobRC\nz7g+/rw2o7OE6CYiOzuLQ4cO3NR9v/vua9atW10v/a5fvwaDwUBi4nl++OGbemnzZsmMtBBCCCFM\n7lRCDp8sOUVhaTU+7jY8MjIMbzcJ0E3JqVO/kJqaQs+evRu030WLvmf48FEEBbUmKKh1g/YtQVoI\nIYQQJlNZXcuy3RfYH52JRq0ispcfI7r7otU0nT+ar76wkdM51x6XfSc6urVlXOCoG95eUVHOe++9\nQ1lZGfn5uYwdO5HIyPE899wT+Pq2IjPzEnq9gbfeepeUlIssXPgdKpWawsJ8Ro8ey7hxE4mKOsX3\n3y9AURQqKyuYM2cuWq2Wl1/+Kw4OjkRE9CQiojuffPIBAHZ29rz66j9ISIhn8eIf0el0ZGZmMmjQ\nEKZNe4iffvqB6upq2rZtf1WY3rNnJ8uW/YxGo6Fduw488cQzVz2Xr776gjNnojAaDUyePI2OHTvz\nzDOP8dNPKwD4+ON/06VLN2xt7a6pNyrqFPn5+cyZ8yoTJ05h7dpV/POf/2L79i2sWLEEMzNzvLy8\nmT37VXbs2MqRI4eoqqoiMzODadNmMHz4jcf4ZkiQFkIIIYRJnEsp4PvNceSXVNOqpR0zhwXj4y77\nQt+M9PRLDBo0lD59+pGXl8dzzz1OZOR4ANq168D77/+LBQu+58cfv6Nv3/7k5eXy/fc/YzAYeOih\nKQwYMJiLF5P5xz/extnZhUWLvmfPnp0MHjyMwsJCvv/+SvB94olZvPrqHHx9W7Fx4zp++ulHuna9\nj+zsLBYuXEZ1dTWRkcOYPn0WDz44k7S01KtCdElJCd9++zXffrsIc3Nz3n77H5w4cazu9qNHD5OZ\nmcEXXyygpqaGJ56YSdeu9xEQEER0dBRhYW04ffokf/nL/7Bu3epr6p0+fRY//vgdb731LmfPRqNS\nqSgpKea7777mhx+WYGFhwWeffcy6dauxsrKivLycDz/8lPT0S/ztby9IkBZCCCFE01JVU8uKPUns\nOZ2BWqVidI9WzBrTlqLCclOXdlvGBY76w9nju8HJyZnly5ewb99urKysqa011N3WqVMXANq0aceB\nA/tRqVSEh7dHq9Wi1Wrx8wsgIyMdV1dXPv74f7GysiI3N4d27a6cKtiypQcajQaA1NSLfPjhewDU\n1tbi5eUNgL9/ICqVCgsLC8zNLW5YZ0bGJYqKCpk9+y//nUmuJDMzo+725OQLJCTE8/zzT6IoCgaD\ngcuXLzN6dCRbtmwgPz+Pnj37oFarb1gvKPz2fMHMzAz8/AKwsLhSV/v2HTlx4hhhYW3qln64ublT\nU6O/k28BIEFaCCGEEA0oPrWQ7zbHkVdchaeLNY+MCqVVCzt02qazlKMxWLLkJ8LD2xEZOZ5Tp37h\n6NFDdbfFx8cRGurP2bPR+Pn5oygKiYkJKIpCdXU1KSnJeHt788orL7J8+TosLS2ZO/fNujCqUv3/\nQTc+Pq14/fV/4ubmztmz0RQU5F9zH/j/xxkMBn6rZUtP3N1b8PHHX6DRaNiyZSNBQcHs378HAF9f\nPzp37sLs2a+iKAo//vgtnp5eBAYG8eWXn5KXl8uLL/4NgPffn3vdetVqNUaj4Td9epCSkkx1dRXm\n5hZERZ3E29vnhnXfCQnSQgghhLjrqmsMrNyXxK6T6ahUMLK7L/f39JMAfZt69uzNJ5/8L7t2bcfG\nxgaNRkttbS0AW7ZsYPXqpWi1Zrz++lskJSVSW1vLSy89T0lJMTNnPoqdnT1Dh47g6acfwdLSCicn\nJ/LycoGrw+ZLL73C22//A4PBgFqt5pVX3iA3N+d31Vy5f0BAIIsWfU9wcCgDBw4GwMHBgcmTp/Hs\ns49hMBhp2dKDAQMGX/U8Tp36hWeeeYzKykr69OmHpaUlAP37D+SXX07g4eEJcMN627XrwOzZf2XW\nrMcAsLd34OGHH+fZZ59Ao9Hg6enFU089z86d265b951QKb+dC29i5Az5+uHqaitjWY9kPOuXjGf9\nkbGsXzKeN+/8pSK+2xRHTlElLZ2teGRkGP4edlfdR8azfjz33BPMnv0qnTuH143n6dMnWbduNW++\nOdfE1TVNrq43XrcvM9JCCCGEuCuq9QbW7E9mx4lLoIJh9/kwtrcfOq3G1KU1W1cvXRB3mwRpIYQQ\nQtS7C+nFfLvpHNmFlbg7WfHIyFACPe1NXVaz9+mn86/5WseOnenYsbMJqmn+JEgLIYQQot7U6A2s\nPXCRbcfTABjS1Ztxffwx08kstGh+JEgLIYQQol4kZRbz3aY4LudX4OZgycMjQ2nt7WDqsoS4ayRI\nCyGEEOKO6GuNrD90kc1HU1EUGNTZi/F9AzA3k1lo0bxJkBZCCCHEbUvNKuXbTedIzy3Hxd6Ch0eE\nEuLraOqyhGgQEqSFEEIIcctqDUY2H0llw+EUDEaFfh08mNg/EEtziRbi3iGvdiGEEELckozcMr7Z\nFEdqVimOtubMGhFCuJ+zqcsSosFJkBZCCCHETTEaFbYeT2PtgWRqDQo927bggYFBWFnoTF2aECYh\nQVoIIYQQfyqroIJvN50jKaMEO2szZg4LoUOQi6nLEsKkJEgLIYQQ4oaMisKuX9JZtS+Jmloj3ULd\neHBIMDaWMgsthARpIYQQQlxXblEl322KI+FSETaWOh4ZFUbXEDdTlyVEoyFBWgghhBBXURSFfVGZ\nLNt9gWq9gY5BLswYFoK9tZmpSxOiUZEgLYQQQog6BSVVfL8lntiLBViZa3lsVBgRbdxRqVSmLk2I\nRkeCtBBCCCFQFIVDZ7NYsiuRyupa2vo7M3N4CI625qYuTYhGS4K0EEIIcY8rLqvmx60JRF3Iw8JM\nw8zhIfRu11JmoYX4ExKkhRBCiHvY8bhsFm1LoLyqllBfR2aNCMHF3tLUZQnRJEiQFkIIIe5BJRU1\n/LT9PL/E52CmUzNtcGv6d/JELbPQQtw0CdJCCCHEPebU+VwWbo2npEJPoJc9j4wMxd3RytRlCdHk\nSJAWQggh7hHlVXp+3nGeI7HZaDVqJvUPZEhXb9RqmYUW4nZIkBZCCCHuAWeT8/l+cxxFZTX4tbTl\nkZFheLhYm7osIZo0CdJCCCFEM1ZVU8uy3RfYF5WJRq1iXB9/hkf4oFGrTV2aEE2eBGkhhBCimTp/\nqYhvN50jt6gKL1cbHh0Vio+7ranLEqLZkCAthBBCNDP6WiNrDyaz9WgaqGBkd1/u7+mHTiuz0ELU\nJwnSQgghRDNyKaeMBRvOkZ5bhquDBY+OCiPIy8HUZQnRLEmQFkIIIZoBo1Fh6/E01uxPxmBU6NfB\ng0kDArEwk7d6Ie4W+ekSQgghmricwgq+2RTHhfRi7K3NmDUihHYBLqYuS4hmT4K0EEII0UQpisK+\n6EyW7bpAtd5AlxA3ZgwNxsZSZ+rShLgnSJAWQgghmqCismp+2BLPmaR8rMy1PD46jPvC3FHJEd9C\nNBgJ0kIIIUQT80t8Dgu3JVBWqSeslSMPjwjFyc7C1GUJcc+RIC2EEPeYGkMNBVWF5FcVUVhVSEFV\nEUXVxVTUVlJZW0llbRWVtVXUGGqAK8sHFBQAdGodlloLLLQWWGjMsdRa4GBuj4OFPY7m9jhaOOBs\n4YSdma3MjN4FFVV6ftpxnqOx2Zhp1Uwb3Jr+nTxRy1gLYRISpIUQoplSFIW8ygLSStPJLM8iPyGP\niwXp5FcW1AXj67HUWmChscBaZ41KpUIFXPk/1Bj1lOnLyasqoNZYe8M2rLSWtLB2p+V///Ox9cLb\n1hMzjazdvV2xKQV8tymOwtJq/Fra8uioMFo6yxHfQpiSBGkhhGgmao21pJRc4mJxKsnFqVwsTqVU\nX3bVfWx01gQ6+OFm5YKThSOO5g44WTjgaOGAldYKC605atXNHdqhN9ZSoa+kuLqYwuoiCquLKaoq\nJqcyj6zybFJK0kguTqm7v1qlxsvGAz97H/zsfGntGIi9uZyy92dq9AZW7k1i58l01CoVkb38GNnD\nV474FqLggSBWAAAgAElEQVQRkCAthBBNlKIo5FbmEVeQSFxBAucLk6j+73IMAEdzBzq7tcfXzhtP\nm5a09Q2kpoR6W3KhU2uxN7fF3twWH7yuuV1vrCWnIpeMssuklaRzsSSNS6UZpJWms4/DAHhYtyDE\nKYgQp9YEOfhhpjGrl9qai7TsUhZsOEdGXjktna14dFQYfi3tTF2WEOK/JEgLIUQTYlSMpJRcIir3\nLNG5seRV5tfd5mblQohjawId/PC398XR4urT7BwsbMktLW2wWnVqLZ42LfG0aUm3Fp0A0Bv0XCrL\nJKnoIvEFiSQVXyTzUha7Lx1Ap9YR6tSa9q5tCHcJxUZ37y5bMCoKO05cYtW+JGoNCv07eTKpfyDm\nOo2pSxNC/IYEaSGEaOSMipGkohRO5ZwhOjeG4poSAMw1ZnRwDSfUqTWhTq1xtnQycaV/TqfR4W/v\ni7+9L4N9+6E36EkqTiG+IJGzeec4kxfLmbxY1Co1gfZ+dHJvTye3dljrrExdeoMpLK3m203nOJdS\niJ2VjlkjQmkfKIerCNEYSZAWQohGKqs8h+NZpziRfZqCqkIArLVWRLTsQgfXcEIcg9A18Yv3dBrd\nf5d2BBEZOILs8hyic2OJzovlfFES54uSWHF+HW2cQ+jaoiNtnUOb/HP+IycTcvhhSzzlVbW0C3Bm\n1ohQ7K1luYsQjZUEaSGEaEQqa6v4JTuKw5nHSStNB67MPEe06ELXFh0JcvBHo26+f953t3ZjiLUb\nQ1r1p7CqiF+yoziRfbpuptpSa0FX94708LgPb1sPU5dbb6pqavl5ZyIHz1xGp1Xz4JDW9O/oKVsI\nCtHISZAWQggTUxSFtNJ0DmYc45ecKGoMNahVato4h9DNvSPtXNvckxfhOVo4MNi3H4N9+5FRdpkT\nWac5nnWK/RlH2J9xBB9bL3p6dKOLewcstE33MJKkzGIWrD9HTlElPu42PD66DR4u9+76cCGaEgnS\nQghhIrXGWk7lnGHPpQOklWYA4GThSE/f/kS07IKDub2JK2w8PG1a4hnYktH+QzlXkMChzGPE5MWz\nJGE1ay5sprtHF/p59cTF0tnUpd40g9HIpiOprD+YgqIoDL/Ph7F9/NFqZFs7IZoKkwTpcePGYWNj\nA4CXlxdPPvkkr7zyCmq1mqCgIObMmWOKsoQQokGU6cs5mHGM/emHKK4pRYWK9i5t6OkZQahT0E3v\n43wv0qg1tHUJo61LGIVVRRy5fIKDGUfZc+kgey8dop1LGP29exHo4N+ol0XkFlWyYOM5LqQX42hr\nzqOjwgj1dTR1WUKIW9TgQbqm5soepwsXLqz72lNPPcWLL75Ily5dmDNnDjt37mTQoEENXZoQQtxV\nWeU57Ll0gGNZp9Ab9VhozBng3Zu+Xj1xaQI7bjQ2jhYOjPAbzBDf/nUz+9F5Vy5U9LLxoL93Lzq7\nd0Cnbjx/fFUUhSOxWfy0/TxVNQa6hLjx0LBgrC2a7wWUQjRnDf7bJT4+noqKCh555BEMBgMvvPAC\n586do0uXLgD06dOHw4cPS5AWQjQbycWpbEvZRUx+PADOFo708+pJd49uWDbhtb2NhVatpVuLTnR1\n70hycSp7Lh0gKjeGRXHLWZ+0hYE+fenlGYG5ideZV1TVsmh7AsfOZWNupuGRkaH0CG/RqGfOhRB/\nrMGDtIWFBY888ggTJ04kJSWFxx57DEVR6m63tramtAEPDBBCiLtBURQSi5LZmrKLhMILAPjb+zLA\nuw/tXMKa9c4bpqJSqQhwaEWAQyvyKwvZm36Qg5nHWH1hI9tT99Dfuxd9PHtgpbNs8NqSM0uYvy6G\nvOIqAjzseOz+Nrg5NHwdQoj61eBBulWrVvj6+tZ97ODgwLlz5+puLy8vx85Ojj8VQjRNiqJwruA8\nW1N2kVycAkCIYxDDWg0kyNHftMXdQ5wtHRkfNJqhrQaw99Ih9qYfYkPyNnak7qOvVw/6e/fC1szm\nrtdhVBS2HUtj9f5kjEaFkd19GdPLTy4oFKKZUCm/nQ5uAEuWLOH8+fPMmTOH7OxsZs6cibe3N48+\n+ijdunVjzpw5REREMHz48IYsSwgh7oiiKJzMPMOq2C0kFaYC0NmjLePChhPk7Gfi6kSFvpLtF/az\nMWEnJdVlmGvMGBzYh8iQIdhZ2N6VPgtLqvhoySmizufiZGfOi1M70z7I9a70JYQwjQYP0nq9nr//\n/e9kZmaiVquZPXs2Dg4OvP766+j1egICAnjnnXduas1Ybq4sAakPrq62Mpb1SMazfjX28VQUhYTC\nC6xP3kpqySVUqOjgGs7QVgMb3YEhjX0sG0KNoYZDmcfZmbaPoupizDVm9PfuzUDvPre85OOPxjMm\nOZ9vNp6jpEJPuwBnHh4Zip3VvbcX+K2Q12f9kvGsP66uN/7HdoMH6fokL5D6IT9s9UvGs3415vFM\nLk5hfdJWEouSAejo2paR/kNoae1u4squrzGPZUPTG/QczDzGttTdlNaUYaW1ZJBPX/p597rpixKv\nN561BiOr9yWz9XgaGrWKif0DGdzFSy4ovAny+qxfMp7154+CdOPZE0gIIZqIS6WZbEzeWrcLR5hz\nMKP9h+Jj62XiysTN0ml09PfuRQ+PbuxLP8SO1L2sT97KnksHGdKqP709ItBpbm1LupzCCr5aH8vF\ny6W4O1ry5JhwfFvcnWUjQojGQYK0EELcpLzKfNYnbeVkTjQAAfZ+3B8wjEAHWQPdVJlrzBji25/e\nnhHsTjvA7ksHWJW4gd1pB7g/YBhd3Dvc1AE5R2OzWLgtgaoaAz3CWzBtcGsszeUtVojmTn7KhRDi\nT5TrK9iasot96YcxKAZ8bD0Z7T+MUKfW8if7ZsJSa8lI/yH09erJ9rQ97Es/zI/nlrI7bT+RgSMJ\ncQq67uOqawz8tCOBQ2ezMDfT8NioMLqHt2jg6oUQpiJBWgghbkBvrGV/+mG2puyiorYSZwtH7vcf\nRif39nKMdzNlY2bNuMBR9PXsyYbkbZzIPsVnUQsIcw5mbMBIPGz+PySnZpUw98cTXM6vwLeFLU+O\naYO7o5UJqxdCNDQJ0kII8TuKonAqJ5p1SVvJryrAUmvJ2MCR9PXq2aiOmxZ3j7OlIzPbTGGATy/W\nXNjMufwE4vLPE9GyC6P8hxB7voJF289TozcwqIsXk/oHyt7QQtyD5B1BCCF+I6UkjZXn13OxJA2N\nSsMA794MazUQa53MNN6LfGy9eL7DY5wrSGDthc0cuXyCY5mnqU73w0wbyGOj2tI5WPaGFuJeJUFa\nCCGA4uoS1iVt4VjWSQA6urUjMmA4LpbOJq5MmJpKpaKNcwj2Rk/+s3sT5Q4x6LwTcQzKQ+PogqK4\nyFp5Ie5REqSFEPc0vbGWvZcOsiVlJ9WGGjxtWjIxaIwc5y2uciTmyq4c1Xo3+naagrXXRfZnHGJB\nzCJaOwYyIWg0njYtTV2mEKKBSZAWQtyTFEUhJj+OVYkbyK3Mx1pnxdjAUfT06CYXEoo6NXoDP+9M\nZH90JhZmGp6KDKdriBsQzpi2A/jm+DJi8uN59/gn9PaMYKT/EGx01qYuWwjRQCRICyHuOVnlOaxM\nXE9cwXnUKjX9vXoxwm8QVrIOWvxGVkEFX66JIT23DB83G54aG37Vrhwedi14qv3DxObHsypxA/sz\njvBLdhQj/YfQ2yMCjVpjwuqFEA1BgrQQ4p5RWVvF5os72Jt+CKNiJMQxiAmt72+0R3oL0zkel833\nW+KprjHQr6MnDwwMRKe9fjBu4xxCsGMg+9MPs+niTlacX8fBjKNMbh1JkGNAA1cuhGhIEqSFEM3e\nr9vZrUrcQHFNKS4WTowLGk07lzC5SExcRV9rZOmuRPaczsDcTMPj94cREfbnB6xo1VoG+PSha4tO\nbEjeyuHME3xy+iu6undibOBI7M3lqHAhmiMJ0kKIZi27IpflCWuJL0xEq9Yyym8Ig3z6otPoTF2a\naGQKSqr4Yk0MFy+X4OVqzVOR4bR0vrX1zrZmNkwNmUAPj24sTVjDiexTnM07x2j/ofT2lOUeQjQ3\nEqSFEM1SjUHP9tTd7EjdS61iIMw5mElBkbhayXZ24lrnUgqYvy6Wsko93du0YMawYMx1tx96W9n5\n8HKX5ziYcZT1ydtYkbiOI5dPMCV4LH72vvVYuRDClCRICyGandj8eJYnrCWvqgAHc3smBt1Pe9dw\nWcYhrqEoCluOpbFqXxJqlYoHh7Smf0fPenmtqFVq+nj1oKNbO9Zc2MSxrJN8cPILerTsxpjA4bK7\nhxDNgARpIUSzUVhVxMrE9UTlxqBWqRno04cRrQZjoTU3dWmiEaqsruXbTXGcOp+Lg40ZT49tS6Cn\nfb33Y2tmw4ywyfTw6MayhDUcvnyc6NwYxgQMp7tHV9luUYgmTIK0EKLJMxgN7L50gM0pO6kx1BBg\n34rJwWPlgAxxQxm5ZXy+JobsggpCfBx4Ykw49tZmd7XPQAc/Xun6F/alH2Ljxe38nLCKo1kneSB4\nHB42f35BoxCi8ZEgLYRo0i4UXWRpwmoul2djo7NmUutI7mvRSWb5xA0dj8vmu81x1OiNDLvPh/F9\n/dGoG+b1olFrGODTh07u7Vl5fj2nc8/y3on/MNinL8NaDZSLYIVoYiRICyGapAp9JWuTNnMo8xgq\nVPTyuI/7A4ZjLYeqiBuoNRhZsSeJHb9cwtxMw9OR4XQJcTNJLQ7m9jzadjpn886xLGEtW1N3czIn\nmgeCxxPsFGiSmoQQt06CtBCiSVEUhajcGFacX0txTSktrd2ZGjIBf9kJQfyB4rJq5q2N4Xx6MS2d\nrXh2XNtb3trubmjrEkaQQwCbLm5nz6WDfBr1Nfe16My4wFHYmJm+PiHEH5MgLYRoMgqrilh+fh1n\n8mLRqrWM9h/KIJ++aNXyq0zcWGJ6EV+ujaG4rIYuwa7MGhGKpXnjec1YaM0ZHzSaru4d+Tl+Jcey\nThKTH8f4wNF0a9FJdpsRohFrPL9JhBDiBoyKkQMZR1mftIUqQzVBDv48EDIedytXU5cmGrm9URks\n3n4eRYFJ/QMZ2s270QZTHzsvZnd5jr3ph9iYvI2Fccs4lnWSKcHjcLNyMXV5QojrkCAthGjULhVn\n8vnJhVwsScVSa8m0kAl0b9m10YYh0TjUGoz8vDORvaczsLHU8dSYNoS2cjJ1WX9Ko9Yw0KcPHVzD\nWXZ+LbH58fzr+EcMazWIQT595K8vQjQy8hMphGiU9AY921J3sz1tLwajgU5u7ZgQNAZ7c1tTlyYa\nueLyGr5cc5bE9GK8XG14bnxbXB0sTV3WLXG2dOKpdrM4lXOGFYnr2JC8lZPZUTwYOhFfO29TlyeE\n+C8J0kKIRiexMJklCavIrsjF2cqRiYFjaOsSZuqyRBOQklXCZ6vOUlhaTZcQNx4ZEYq52e0f9W1K\nKpWKzu7tCXUKYm3SFg5lHuN/f/mcAd69GeU/BDPN3d33Wgjx5yRICyEajcraKtYmbeZgxlFUqOjn\n1ZNZ3SZQVqQ3dWmiCTgSm8UPW+KprTUyvq8/IyJ8m8USICudFVNDxtPFvQOL41ey69J+zuTFMjVk\nAq0dA0xdnhD3NAnSQohGITY/gSXxqyisLsLDugVTQybgZ++Dpc6CMiRIixszGI2s3JvEtuOXsDTX\n8HRkO9oHNr+L81o7BvBatxfYmLyd3ZcO8J/TX9HL4z4iA0diqbUwdXlC3JMkSAshTKpCX8GqxI0c\nzfoFtUrNiFaDGNpqgFxUJW5KWaWer9bFEJtSSAsnK54b3zj2h75bzDRmjAsaRSf3diyOW8nBzGPE\n5MfzQPA4wl1CTV2eEPcceacSQphMdG4sSxNWU1JTireNBw+GTsLL1sPUZYkmIjOvnE9XniGnqJJ2\nAc48ProNVhb3xttaKzsf/tb1ebal7GZb6h7mnfmeru4dmRB0vxzkIkQDujd+4wghGpXSmjJWnF/H\nyZxotCoN9/sPY5BPXzTqpnlRmGh4Mcn5zFsXQ2W1gZHdfRnb2x+1uumvh74VWrWWkf5D6ODWlsVx\nKzmRfZq4gvNMaj2GTm7tm8X6cCEaOwnSQogGoygKp3KiWX5+HWX6cvzsfHgwdCItrN1NXZpoIhRF\nYefJdJbuSkSjVvPY6DC6t2lh6rJMytOmJS91fpo96QfZmLyN72J/5pfsaCYHR+Jgbm/q8oRo1iRI\nCyEaRHF1CcsS1hCdF4tOrWN84Cj6efdCrVKbujTRRNQajPy84zx7ozKxszbjuXFtCfCUoAhXDnIZ\n5NOXdi5t+Dl+JWfyYkksSmJc4Cg5wEiIu0iCtBDirlIUhWNZJ1mZuIHK2kqCHPyZGjJBjjwWt6Ss\nUs+8tTHEpRbi7WbD8+Pb4WwvO1X8npuVC893fJxDmcdZe2ETi+NXcjI7mqkhE3C2dDR1eUI0OxKk\nhRB3TUFVIUviV3OuIAFzjRmTW4+ll+d9Mgstbsnl/HL+s/IMOYWVdAxy4bHRYViYydvXjahVanp7\nRhDuHMKShNXE5scz9/iHjA0cRS+P+2R2Woh6JL+JhBD1zqgY62bEqgzVhDq15oHg8TIjJm5ZzMV8\n5q2NpbK69spFhX38UUsQvCmOFg481W7Wf/8itJ6lCauJyjkrs9NC1CMJ0kKIepVXmc/iuJWcL0rC\nUmvBgyETiWjZRWbBxC3bdTKdJTsTUatVPDYqjO7h9/ZFhbdDpVIR0bILIU5B/By/itj8eP51/CPG\nBo6kp8xOC3HHJEgLIeqFUTFyMOMoa5I2U2Oooa1LKFOCx8muAeKWGYxGlu68wK5T6dhZ6Xh2fDsC\n5aLCO+Jgbs9T7WZxNOskqxLXsyRhNadzzjItdAJOFjI7LcTtkiAthLhj+ZWFLI5fQULhBay0ljwQ\nNoWu7h1ltkvcsqqaWuavi+VMUj6ertb8ZUI7XOwtTV1Ws6BSqejesguhTkEsjl/JufwE5h77iHGB\no+jh0U1+XoW4DRKkhRC3TVEUDl8+zurEjVQZqgl3DuGBkPEyCy1uS2FpNf9ZEU1aThlt/Jx4OjIc\nS3N5m6pvDub2PN3uYY5e/oWViRv4OWEVp3LOyOy0ELdBfkMJIW5LYVURi+NXEldwHguNBQ+GTiKi\nRWeZ1RK3JS27lP+sPENhaTV9O3gwbXBrtBrZ3eVuUalUdPfoWrd2+lyBzE4LcTskSAshbsn/7wu9\nnsraKkKdWjMtZAKOFg6mLk00UWeS8pi3LpbqGgOT+gcytJu3BLkG4mjhwNPtH+bI5V9Y9d/Z6dO5\nZ5kaMl5mp4W4CRKkhRA3rbi6hCUJqzibF4e5xoypweNl9krckd2n0lm84zxajZqnI8PpEuJm6pLu\nOSqVih4eXQn9/ex00Ch6tJSfbyH+iARpIcSfUhSFX7KjWH5+LRW1lbR2CODB0Ik4WzqZujTRRBmN\nCsv3XGD7iUvYWel4bkI7Ajxkbb0pXTM7Hb+K0zkyOy3EH5EgLYT4Q6U1ZVcOcsiNwUytY1LrSHp7\nRsjphOK2VdcY+HpDLKcT82jpbMVfJ7bH1UF25mgMfjs7/es1EHOPfcT4oNF0b9lVZqeF+B0J0kKI\nGzqVc4ZlCWso05cTYO/H9NBJuFo5m7os0YSVVNTwnxVnuHi5hFBfR54ZG46Vhc7UZYnfcbRw4Jn2\nj3Dk8glWJW5gcfzKutlpuR5CiP8nQVoIcY0yfTnLE9ZyMicanVrL+KDR9PPqKbPQ4o7kFFbw0fJo\ncgor6RHegpnDQ2Rnjkbsyux0N0Kcglgct/LK2unjHzEh6H7ukx16hAAkSAshfic6N5YlCasorSnD\nz86X6aETcbeWC8DEnbl4uYRPVkRTWqFnVA9fxvb2lyDWRDhZOPJsh0c5lHmM1Rc2sihuOadzzvJA\niJxcKoQEaSEEABX6ClYkrud41im0ai2RASMY6NNHZqHFHYu+kMe8dTHoa41MHxpM/46epi5J3CKV\nSkUvzwhCnVrzU/xKYvLjmHvsIya2HiOnmIp7mgRpIQQxeXH8HL+K4poSfG29mR42iZbW7qYuSzQD\n+6MzWbg1Aa1GxbPj2tIxyNXUJYk74GzpxHMdHuVgxlHWJG3mx3NLOZ1zlinB47A3tzV1eUI0OAnS\nQtzDKmsrWZW4kSOXT6BRaRjtP4zBPn3RqDWmLk00cYqisO7gRdYfSsHGUsfzE9oR6CnLAJoDtUpN\nH68ehDkH81PcCs7kxZJUdJFJwZF0dmsvs9PiniJBWoh7VHxBIj/FraCwuggvGw9mhE3G06alqcsS\nzYDBaGTh1gQOnLmMi70FL07uQAsnK1OXJeqZi6Uzz3d8nP3pR1ibtJnvY3/+7+z0WGzNbExdnhAN\nQoK0EPeYakMNay9sYn/GEdQqNcNbDWJYqwFo1fLrQNy5qppa5q+L5UxSPr4tbPnrxPbYW5uZuixx\nl6hVavp59/zv7PRyonLPcqEomcnBY+nk1s7U5Qlx18k7pxD3kAtFF1kUt5y8ynxaWLvzUOhkfOy8\nTF2WaCZKymv4ZEU0KVmlhPs78XRkOBZm8jZzL3CzcuGvnZ5kb/oh1idt4duYn4hya8+k1pHYmFmb\nujwh7hr5DSfEPUBv0LMheRu7Lx0AYLBPP0b6DUankYMwRP3ILqzg42XR5BRV0rNtCx4aJntE32vU\nKjUDvHvTximYRXErOJkTzfnCJKaEjKODa7ipyxPirpAgLUQzl1pyiYXnlpFVkYOrpTMzwibjb9/K\n1GWJZuTi5RI+Xh5NWaWe0T1aEdnbTy44u4e5W7vxYuen2H3pABuSt7Hg7EK6undkYusxWOtkrbxo\nXiRIC9FM1Rpr2ZKyi+2pezAqRvp69WRMwHDMNbJeVdSf2JQCPl99lhq9gRlDg+kne0QLrsxOD/Lp\nS7hzCAvjlnMi+zQJhRd4IHgc7VzbmLo8IeqNBGkhmqGMssv8eG4pGWWXcTR3YHroJIKdAk1dlmhm\nTsTn8PX6WFQqeDoynM7BcgKmuFoLa3de6vQ0uy7tZ1Pydr46+yP3tejMhKDRWMnstGgGJEgL0YwY\njAZ2pu1j08UdGBQDPVp2Y1zQKCy1FqYuTTQze06l89P285ibaXhufDtCfR1NXZJopDRqDUN8+xPu\nHMqiuGUcyzpJfEEiU0PGE+4SauryhLgjEqSFaCayynNYGLeM1JJL2JvZMjVkgrxJiXqnKAobDqWw\n9uBFbK10vDipA74t5EQ78ec8bFrwP52fZUfaXjZf3Mm8M9/TvWVXxgeNwlJraeryhLgtEqSFaOKM\nipG9lw6yPnkremOtXNQj7hqjorBkRyK7TqXjYm/BS5M74C4HrYhboFFrGNZqIG1dwlh0bhlHLp8g\nruA8D4ZMxNW1s6nLE+KWSZAWognLq8xnUdxyLhRdxEZnzUNhD9DRra2pyxLNUK3ByDcbz3E8LgdP\nV2tenNQBR1tzU5clmihPm5bM7vIc21J3syVlF59Hf0NcaTzDvYbIUjTRpEiQFqIJUhSFg5lHWX1h\nEzWGGtq7hvNA8Dg5llfcFVU1tXyxJobYiwUEetnzlwntsLaQPcjFndGoNYzwG0xblzYsilvGruSD\nnMqI4cHQiYQ4BZm6PCFuigRpIZqYwqoiFsevJK7gPJZaSx4Km0JX946yb6+4K0oravhkxRkuXi6h\nXYAzT0WGY67TmLos0Yx423rwcpfn2J9zkDVxW/ksagG9PbsTGTACC6381UM0bhKkhWgiFEXhWNZJ\nVpxfT5WhijDnYKaFTMDB3N7UpYlmqqCkig+XRXE5v4Ie4S2YOVxOKxR3h1atZXLb0QRaBbIobjkH\nMo5wLj+eB0Mn0doxwNTlCXFDEqSFaAKKqotZEr+amPw4zDVmTA0ZT4+W3WQWWtw1l/PL+XBZFAUl\n1Qzt5s3E/oGo5fUm7jIfOy9e7vo8Wy7uZHvqHv5z+is5TEo0ahKkhWjEFEXhyOUTrErcSJWhitaO\ngTwYMgFnSydTlyaasdSsUj5cFkVZpZ6J/QIYHuFr6pLEPUSn1nJ/wDDauYax6Nxy9qUfIjY/numh\nkwh08DN1eUJcRYK0EI1UfmUBP8evIr4wEQuNOVODx9PDQ2ahxd11IaOYj5dHU1Vdy0PDgunbQY78\nFqbRys6HV7r+hU0Xd7AzbR+fnJpPP++e3O8/DDOZnRaNhARpIRoZo2LkQMZR1iZtpsZQQ5hzMFOD\nx+No4WDq0kQzF5dayKcrz6CvNfLY6DAi2rQwdUniHqfT6IgMHEF71zYsilvOnksHic2LZ3rYJPzt\nW5m6PCEaR5BWFIU333yThIQEzMzMmDt3Lt7e3qYuS4gGl12ew+L4VSQVX8RSa8mM0Ml0a9FJZqHF\nXXcmKY8v1sSgKApPjw2nU2tXU5ckRB0/e19e6fpXNiZvY/elA3x0ch4DfHozym8oZhrZilGYTqMI\n0jt37qSmpoalS5cSHR3Nu+++y5dffmnqsoRoMDWGGrak7GJX2n4MioH2Lm3+r737jq+6vvv//zjn\n5GSe7E1CSMggA0LYG0QQZciSoeKotIrWVm3V66q/Dm0vq17X19GBta2tbZ2shCEgooIsZQiBhCxC\nGAkQyCaLzHN+fyhc1svBOMnJSZ732603b8Q0PPPyk8955nM+n/ebhf3m4Ovm4+ho0gN8ll/GX9bl\nYDIa+PEtqfTvG+joSCL/h6vJzNz4GQwM7v/5utPF2zlckc8dSfN0dVocpksU6f379zNu3DgABg4c\nyOHDhx2cSKRz2Gw2sipyWHlkHdXNNfi7+TEv/mYGBvfXVWjpFLuyS3ltYx5uZhMPz0ulX5S/oyOJ\nfKtYv2j+v+E/YV3RJj4+tYsX9v+JkeFDmR07TZtSSafrEkW6vr4eb2/vS392cXHBarViNGq9Uum+\nLrQ18a/cd8iuyMNkMDGlz0Ruip6kJZ6k02w9cIo3Nh/By92Fny5MIyZc74CIc3A1uTIvYSaDQ1NZ\nXrCG3aWfcbgij4cG3UeEJdzR8aQH6RJF2mKx0NDQcOnPl1uig4O9v/Nz5PJolvb1XfNsaWth6fZX\nye/ppOoAACAASURBVKsoJCUkgR8MuY0IHz3Y9U10fNrPxVlmbD3KG5uP4Gdx4zdLRhHTSxv7XA0d\nm/Z1pfMMDh7AsL4pbDiyhTcOpbP00Ks8NfGnRPqqTIOOz87QJYr04MGD2bp1KzfddBMHDx4kISHh\nsv5/5eV1HZysZwgO9tYs7ei75tlmbeOv2a+TV1nIoOABLE5ZhLHZqP8G30DHp/0EB3tTVlbL2p3H\nWbfrBP7ebjx2axoWs46/q6Fj076uZZ4jA0fQ2s/GsoIMntryEvenfo8+Pj170QIdn/bzbb+QdIki\nfcMNN7Br1y5uvfVWAJ599lkHJxLpGOcayvhX3nJO1paQHNCP76XchtGgW5ikc9hsNlZsPcr7e0sI\n9nPn8VsHEeTn4ehYInYxLmIk7dZ2Vhau5fn9L3PjF7fLuRi7RNWRbqpLHF0Gg4Ff//rXjo4h0mGs\nNivbTn3C2qKNtFrbGBY6iNsTb9EJXjqN1WbjlfQs3t9bQnigJ4/dOgh/bzdHxxKxq+t6j6GXJZTX\nc1fw3omPOFyRx13Jt9LLolvnpGPoVVykg1VeqObNvBUcqSnCy+zJ3cm3MShkgKNjSQ/SbrXy2oZ8\nPs05S1SIhZ/emoaPpx5qle4pwT+On4/4KemF7/Jp6T7+e9/vmdH3RiZFjdc7gGJ3KtIiHcRms7G7\n9DNWFa6jqb2ZAUHJ3J54Cz6uevhDOk9bu5W/rMthf0E5/fr486M5/fFy1wYW0r15uLhzR9J8Bgan\n8Fb+KtYUbSSrIpc7kxYQ4hnk6HjSjehXM5EOUNtSx1+y/8Wb+SsBuCNpAUsG3K0SLZ2qpbWdP6Zn\ns7+gnMQoP35z3yiVaOlRBgQl84sRjzI4JJVj50/w7N6X2H7qU2w2m6OjSTehK9Iidra75AB/3fc2\n9a0NJPjFckfSAgI9tMmFdK4LzW38MT2L/OIaUmMD+eHs/ni6m2moa3J0NJFOZTF78f3+dzDw3EGW\nF6xm+ZHVHCo/zB1J8/F393N0PHFyKtIidtLY2siKI2vZdy4Ts9GFefEzmRA5WvfkSadraGrldysO\nUXSmliH9glkyMwUXk45D6dmGhqYR5xfDW/mryK0s4Ld7X2R+/CyGhw3WTrJy1VSkRewgr/IIb+av\npKb5PHEB0dwWP48wrxBHx5IeqLaxhReXHaS4rJ5RKWEsnp6ISbvEigDg5+bLD1MX80npXtIL3+X1\nvOUcKj/MbYm3aHtxuSoq0iLXoLm9hdVHN7Dj9KcYDUZmxNzIoqE3U1XZ6Oho0gNV1zXz/LJMSisb\nuW5QBHdMScCoK20i/8ZgMDCm1wj6+cfzZt4KDlXkULTnBLcl3kJacH9HxxMnoyItcpWKak7wet5y\nKi5UEu4Vyl3JC4nyjsRkNDk6mvRAFTUX+H/LMimvaeLG4b1ZMDFOb1eLfIsgjwAeGnQfH5fsZO2x\nTbya/TrDQgezIGEWnmZtVCSXR0Va5Aq1WtvYcGwzHxZvA2By1ARmxEzBbNJqCOIYpZUNPL/sINV1\nzcwaG8PMMdEq0SKXwWgwcn3UeJID+/F67gr2nTtAYU0RdyTOJykwwdHxxAmoSItcgZK6M7yeu4wz\nDWcJcg/gzuSFxPnFODqW9GAlZfW8sCyT2sZWFkyM46YRUY6OJOJ0wrxCeXTID9l8cisbT3zI0kN/\nY1zEKGbHTsPdRTuAyjdTkRa5DO3Wdj4o/piNxz+k3dbO2F4jmBM3QydYcahjZ2p5acVBGprauPPG\nfkwcFOHoSCJOy2Q0MTVmMilBibyeu5wdpz8lr+oIdyYt0AUT+UYq0iLf4VxjOa/nLudEbTG+rj4s\nSppPSmA/R8eSHq6guJrfr8qiubWd709PYsyAcEdHEukWorwj+c9hD1+6he93B/7MpKjxuoVPvpaK\ntMg3sNqsbD/1KWuKNtJqbWVoaBoLEmbjZfZ0dDTp4Q4fq2RpRjbtVhsPzOrP0EQttShiT2ajC7Pj\npjEgKJnX85bzYfE2cirzLz1ULnKRirTI16hqqubNvJUUVB/Fy+zJXckLGRyS6uhYIhw4Us6f1x7G\nYDDw41sGkBob5OhIIt1WrF80Twx7hLVFG9l++lP+32dLmRo9iRv7XK8VmgRQkRb5NzabjU9LPyO9\n8F2a2pvoH5jE7Ynz8HXzdnQ0EXbnnOVv6/Mwuxh5aF4qSX209bxIR3N3cWNhvzmkBqXwZv5KNhz/\ngOyKPO5KXki4V6ij44mDabsrkS/UNJ/nlax/8Fb+SsDGosR53J/6PZVo6RK2HzrDq+/m4uZq4tFb\n01SiRTpZUmACPx/+U4aHDaa47hTP7fs9HxVvx2qzOjqaOJCuSEuPZ7PZ2Hv2ACsL13Gh7QKJ/vEs\nSppHgLuKinQNm/eVsOyjQiweZh5dmEafMP1yJ+IInmYP7k6+lYHB/XknP52Mo+vJqsjhzqQFBHkE\nOjqeOICKtPRo55vrWFaQQVZFDq4mV27tN5exvUZoMwvpMt795ASrtx/D1+LK47cOoleQl6MjifR4\nacH9ifWN5p2CDA6VH+a3e15kVtw0xkeMwmjQm/09iYq09Eg2m439ZYdYUbCGhrZG4v36ckfSAoI8\nAhwdTQT4/BhN33aMjbtPEujjzuO3pRHirxVjRLoKb1cL9/a/k33nMll5ZC0rj6zlYFk2dyTN19Xp\nHkRFWnqcupZ6lhWs5mB5Nq5GM/MTZukqgnQpVpuNdz4s5KP9pwgN8OTxW9MI8HF3dCwR+QqDwcDw\nsMH084+/9O7mb/e+xOzYaYyLGKnXlR5ARVp6lMyybJYVZFDf2kCsbzR3JC0gxFPLh0nXYbXa+Od7\n+ezMLiUy2ItHbx2Er5ero2OJyLfwdfPmvgF3Xbo6veLIGjLLsvROZw+gIi09Qn1rAyuPrOWzcwcx\nG124JW4G1/Ueq6sF0qW0tVv52/pc9uaVERPuzU8WpGHx0E5qIs7gf69Ox/FOQTrZFXn8du+LzImd\nxlhdne62VKSl28sqz+HtgnTqWuqJ8YnizqQFhHppJzjpWlrb2nllTQ4Hj1aQEOnLw/MH4uGmU7SI\ns/F182HJgO9dujq9/MgaMsuyWZQ0X1enuyGdpaXbamxtZGXhOvaePYCLwcTs2GlMihqvqwLS5TS3\ntPOH9CzyTlaTEhPAj+YOwM2sXdNEnNU3X52eztiIEXod6kZUpKVbyqnM5628VZxvqSXKO1I7UEmX\n1djUxu9WHeLoqfMMig/i/ln9MbvoRVakO7h4dfriXgXLj6wmszybOxLnEair092CirR0KxfaLpBR\nuJ5PSvdhMpi4ue+N3BB1HSajru5J11PX2MKLKw5x8mwdI5NDWTw9CReTSrRId2IwGBgRPoR+AXG8\nk5/O4cr8z69Ox01nbK+R2rfAyalIS7eRW1nA2/npVDfXEGnpxV3JC4mwhDs6lsjXOl/fzPPLDnK6\nooHxA8O568ZEjEa9oIp0V35uvtyfes+lq9PLClZ/fu904nwCPbSTrrNSkRan19jaSPrR9ewu/Qyj\nwci06MncFD1JV6Gly6o838T/W5ZJWfUFJg+N5LZJ8boqJdIDfP3V6ReYEzdDu+o6KRVpcWpZ5Tks\nK8jgfEsdvS29WJS0gN7evRwdS+Qbnatu5Pl3MqmsbWbG6D7MGddXL54iPczFq9N7zu5nVeE6lhVk\ncLAsm9sT5+nqtJNRkRanVN/SwMrCz9eFdjGYuLnvTdwQNUFXoaVLO11ez/PLDnK+oYVbJvRl+qho\nR0cSEQcxGAyMDB9KYkA8b+enk/PF1elZ2hXRqahIi1Ox2WxklmezvGA19a0NRPtEcUfSfK3IIV3e\nybN1vLD8IPUXWrl9cjyTh/Z2dCQR6QL83Hx5IPUedp/dT3rhu6w4sob95w6yKHGe9jxwAirS4jTO\nN9ex4shqDpYfxmx0YU7cdK7vPU6/tUuXd/TUeV5aeZCmlnbumZrIuIG6/UhE/pfBYGBU+FCSA/pd\nep17Zt/vmB59A5Oixuvd1i5MRVq6PJvNxt6zB1hVuI7GtgvE+sZwR9I8QjyDHR1N5DvlnqjiD+lZ\ntLfbWDIzheFJevdERL6er5s39w64i8yybJYfWc3aY+9xoDyLRYnz9fxPF6UiLV1adVMNywoyOFyZ\nj6vJlQUJs3XvmDiNg4UV/GnNYcDGg3MGkBYf5OhIIuIEBoUMIME/lvTCd9lzdj//89kfuCHqOqZG\nT8JsMjs6nnyJirR0STabjU9K95JRuIGm9iYS/eO5PfEW7QQlTmNP7jn+tj4Xk8nAj28ZSEq0jl0R\nuXxeZk/uSl7I0NA03s5P5/2TWzhY/vm607F+0Y6OJ19QkZYup+JCJe/kZ5BfXYi7yZ3bE29hdPhw\nLREmTmPbwdO8vqkAdzcXfjJ/IHGRvo6OJCJOKjmwH78Y8VPWHdvE9lOf8tKBVxgfOZqZfW/C3cXN\n0fF6PBVp6TLare1sPbWT9cc202ptJSUwkdv6zcXf3c/R0UQu2/t7i1m+5SgWDzOPLkyjT5i3oyOJ\niJNzd3FnQcJsBocM5O38VWw7tYvsilxu73cLSYEJjo7Xo6lIS5dQUneat/JXUVJ3GovZi0WJ8xga\nmqar0OI0bDYba3ceZ92uE/h7u/HYrWmEB3o5OpaIdCNxfjE8MewRNp74kA+Lt7H00N8YGTaUufEz\n8DJ7Ojpej6QiLQ7V0t7ChuMfsKVkB1ablRFhQ5gbNwOLqwqIOA+bzcbyLUfZvK+EYD93Hr91EEF+\nHo6OJSLdkNlkZlbsVAaHpPJm3kp2n/2MnMp85sXfzBBdgOp0KtLiMPlVhbyTn05FUxWB7gHcljiX\npAC9RSXOxWq18fr7+Ww/VEqvIC8eXZiGv7fuWxSRjtXbO4L/GPpjPirezsYTH/CP3HfYfXY/t/ab\nS5AezO80KtLS6epbG8goXM+es/sxYGBS1Himx0zBzeTq6GgiV6St3crf1ueyN6+MPmHe/HTBQLw9\ndRyLSOcwGU1MiZ7IoJBUlhVkkFd1hKf3vMC0mMksDJzu6Hg9goq0dBqbzcb+cwdZWbiO+tYGelt6\ncXviPKJ8Ih0dTeSKtbS286c1h8kqqiQh0peH5w/Ew02nVBHpfMGegfwo7QfsO5dJeuG7rC16j4MV\nWcyPm0OMb5Sj43VrOutLp6hqqmZZwWpyKvMxG83Mjp3G9b3HadtTcUoXmtv4Y3oW+cU19I8J4MG5\nA3Az61gWEccxGAwMDxtMSmAia45u4JPSfbyw/2XGRYxiZuxNeLi4Ozpit6QiLR3q4pJ2G45tpsXa\nSqJ/PLf2m0uwZ6Cjo4lclfoLrfxu5SGOnallSL9g7rs5BbOLdtoUka7By+zJoqT5TEkcxyt73mD7\n6U84VH6YBQmzGBjcXw8j2pmKtHSYopoTLCvI4EzDWSxmLxb2m8OIsCH6IRandb6hhReWHeRUeT1j\n+ofxvWmJmIwq0SLS9SSHxPPE8J+w+eRWNp/YwquH32BAUDILE2ZrfwY7UpEWu6tvbWDt0Y18UroP\ngDG9hjMzdioWs5a0E+dVeb6J55dlcq76ApMGR3LbDfEY9UuhiHRhZqML02NuYGjIQN4pyCC7IpeC\n6qPMiJnCdZFjdHulHahIi93YbDZ2l37G6qINNLQ20ssrjNsS59LXN9rR0USuydmqRl5YlkllbTPT\nR/Vh7vi+emdFRJxGqFcIDw9a8vlr9NENZBxdz+7Sz1jYbw5xfjGOjufUVKTFLs7Un2VZwWqKzh/H\n1eTKnLjpTIwcq992xemdOFvLSysOUdfYyrzrYpk2so+jI4mIXDGDwcCoXsMYEJzMuqL32HVmLy8d\neIURYUOYHTcNH1dvR0d0SirSck2a21t47/iHfFSyHavNysDg/syPn6n7r6RbyDtZzR/Ts2hubefu\nm/oxIS3C0ZFERK6JxezF7YnzGBU+nOUFGew5u5+sihxu7nsT4yJGYjTouY8roSItVy27IpcVR9ZS\n1VRNgLs/CxJmMSAo2dGxROziwJFy/rz2MAAPzOrP0MQQBycSEbGfGN8o/mPYQ+w4vZt3j21ixZE1\nfFq6j4UJWnv6SqhIyxUra6wg4+i7ZFfkYTQYmdJnIlOjJ+GqnQmlm9iRdYZ/vpePq4uJH90ygJRo\nbbcrIt2P0WBkQuRoBoUMYPXRDew9e4AX9r/M6F7DtEjAZVKRlsvW3N7C+ye28FHxNtps7cT79WVB\nwmx6WcIcHU3EbjbtKWbF1qNYPMw8Mn8gfXv5ODqSiEiH8nH15u7kWxkdPpwVR9aw68xeDpYdZnrf\nKYztNULPO30LFWn5Tjabjf1lh1h9dAM1zefxc/NlbtwMBoekauUC6TZsNhurthXx3u5i/L3deHRh\nGr2CdDVGRHqOeP++/GzYw2w7tYsNxz9kxZE17Dj9KfPiZ5IYEO/oeF2SirR8q1N1Z1hZuJajNcdx\nMZi4qc/1TIm+HjfdxiHdSLvVyuubCtiRVUpYgCePLkwj0Ffb6YpIz2Mymrg+ajzDwgbz7rFNfHJm\nH388+CoDg/szN246QR7amfjLVKTlazW0NrL+2PvsOL0bGzZSg1KYGzdDW3tLt9Pa1s5f1+Wy/0g5\nfcK8+cmCgfh46hdFEenZvF0t3J44j7ERI1l1ZB2Hyg+TU5HH9VHjubHP9bi7uDk6YpegIi3/pt3a\nziele3n32Ps0tDYS4hnEvPhZpAT2c3Q0Ebu70NzG0oxs8k5Wkxjlx49vScXDTadFEZGLorwj+cng\nBzhQdojVRzey+eRW9pR+xqzYaQwLG9Tjl8vTK4YAn98fmlOZz+qjGzjbWIbbF5uqXBc5BhejDhPp\nfmobW/jdikOcOFvH4IRglsxMxuyiB2pERL7KYDAwJDSNAUHJfHDyYz4o/pjX85az7fQnzI2b0aN3\nR1RDEk5Un+LvB5dTUH0UAwbG9BrO9Jgb8XXTLkfSPVXUXOCFFYc4V9XIuNRw7rqpHyZjz76qIiLy\nXVxNrkzvO4WR4cNYU7SBA2VZvHTgFVKDUpgVO5Uwr5633r6KdA9W03yed4+9z57S/diwkRzQjzlx\n07WcnXRrxefqeGnFIc43tDB1ZBTzJsRq9RkRkSsQ6OHP9/vfwfXnT7L66AayKnI4XJnH6PBhTIuZ\n0qMuxKlI90BNbc18WLyNj4q30WJtJco3gpnRU0kKTHB0NJEOlXuiiqUZ2TS3tHP75HgmD+3t6Egi\nIk4rxrcPPxn8ANkVuawpeo+dZ/aw91wmk3uPZ1LUhB7xQKKKdA/Sbm1nz9n9rD/2Pudb6vBx9WZ+\n31ncPGAilZUNjo4n0qF2557l7+vzMBjg/tn9GaYtv0VErpnBYCA1OIWUwEQ+Ld3H+uOb2XjiQ3ac\n2c30mBsYHT68W2/ooiLdA1htVg6WH2b9sfc511iO2WhmavRkJn/x26JR94ZKN3dxt0IPNxd+PHcA\niX38HR1JRKRbMRlNjI0YydDQQWwp2c4HxdtYVrCarSU7mR4zhUEhA7rlCh8q0t2YzWYjt+oI7xa9\nR0n9GYwGI2N7jWBqzGT83HwdHU+kw1ltNlZsOcrmfSX4WVz56YI0IkMsjo4lItJtubu4MS3mBsb0\nGsl7Jz5k15k9vJbzFhEnw5keM4XUoORu9VyKinQ3dbTmOOuKNlF0/jgGDAwNTWN6zBRCPIMcHU2k\nU7S2WXltYx57cs8RHujJTxdot0IRkc7i6+bNrf3mcH3vcbx34kP2nc3kr9n/Iso7khl9p5Ac0K9b\nFGoV6W7m+PliNp74gNzKAgAGBCVzc98bibCEOziZSOf58kYrcZG+PHRLKhYPs6NjiYj0OCGeQdyd\nfCs39pnIhuMfcKAsiz8deo0Ynz7M6DuFfv5xTl2oVaS7iaM1x9l04iPyqo4AEO/Xl5mxU+nr28fB\nyUQ6V019My+tOERJWT2D4oNYMjMFV3P3fdBFRMQZhHmF8v3+d3BTfSkbjm3mUEUOfzz4Kn19+3Bj\nn+tJCUx0ykKtIu3EbDYbhTXHeO/4hxypKQIgwT+OadGTiPePdXA6kc5XWtnAi8sPUVnbxMRBESy6\nIQGj0flOzCIi3VWEJZz7Uu+muPYUG098QHZFHq9k/YMISzg39pnIoJBUp3ooUUXaCdlsNvKrCnnv\nxIcUnT8BQFJAAlOjJxPrF+3QbCKOcvT0ef6wKov6C63MGd+XGaP6OOXVDRGRniDKJ5L7U+/hdH0p\nm09uZf+5Q7yW8zbBx97nhj7XMTxsCGZj16+pnZ5w/PjxREdHAzBo0CB+8pOfcPDgQZ555hlcXFwY\nPXo0P/rRjzo7llNos7ax/9whPirZzun6UgD6ByYxNWYS0T5RDk4n4jj78st49d1crFYb90xNZNzA\nXo6OJCIilyHCEs49KbczI+ZGPij+mD2ln/F2fjobj3/IhIjRjI4YjsXs5eiY36hTi3RxcTEpKSm8\n8sor//bxp556iqVLlxIZGcl9991Hfn4+iYmJnRmtS2tsvcDOM7v5uGQX51tqMRqMDAkZyOQ+E4jy\njnR0PBGHsdlsbNpbzMqtRbi5mnjolgH07xvo6FgiInKFgj0DuT3xFqbFTOaj4u3sPLOHtcfeY+OJ\nDxkeNpiJvccS7hXq6Jj/R6cW6cOHD3Pu3DnuuusuPDw8eOKJJwgKCqK1tZXIyM8L4dixY/nkk09U\npIHKC1VsPbWTT87spbm9BTeTK9f3Hsd1kWMJ9NCGEtKztVutvPVBIR9nnsbf242H56USFert6Fgi\nInIN/Nx8uSX+ZqZGT+bT0n1sO7WLXWf2sOvMHhL945nYeyzJgf26zH3UHVakV61axb/+9a9/+9iT\nTz7JkiVLuPHGG9m/fz+PPfYYL7/8MhbL/26Q4OXlxalTpzoqVpdntVnJqcxn5+nd5FQWYMOGn5sv\nU6MnM6bXCDzNHo6OKOJwTS1t/HltDllFlfQOsfDI/IH4e7s5OpaIiNiJp9mDSVHjmdh7LFkVuXxc\nspP86kLyqwsJ8QhiTMQIRoQNwdvVsZtsGWw2m62z/rKmpiZMJhNm8+fruU6YMIENGzawcOFCNmzY\nAMDrr79Oe3s799xzT2fF6hKqGmvYcnwXHxXtovJCNQDxAdHcGH8do3sPwcXU9W+4F+kMlecv8Ju/\n7+HY6fMMTgzhP+8ciqe71ogWEenuTlSXsPHIVnYV76PV2obJaGJYxEAm9x1L/1DHXKXu1Ha2dOlS\n/Pz8+MEPfkB+fj7h4eFYLBZcXV0pKSkhMjKSnTt3XvbDhuXldR2cuGO1W9vJry5k1+k9ZFfmYbVZ\ncTO5MjZiJGN7jaS39+cPTFVXXejQHMHB3k4/y65E87SvL8/zVFk9L608RHVdMxPSenHHlAQa6ppo\nqGtycErnoGPTvjRP+9I87as7ztMLP+b3ncPU3lPYdzaTXWf2sLvkALtLDhDg7s+w0EEMDxtMmFeI\nXf/e4OBvvm2wU69I19bW8vjjj9PY2IiLiwu/+tWviImJ4dChQzzzzDNYrVbGjBnDI488cllfzxkP\nEJvNRkndafaePcBn5w5S11oPQG9LL8ZGjGRoaBruLp27jXF3/GFzJM3Tvi7O8/DxSv60+jBNLe3M\nvy6Wm0ZEaXm7K6Rj0740T/vSPO2rJ8zTZrNxvLaYXWf2kFmWRXN7CwBR3hEMCxvM4JBU/Nx8r/nv\n6TJF2t6c5QCx2WycaTjLwfLD7D93iHONZQB4mT0ZEjKQkeFDifKOdFgp6Ak/bJ1J87Sv4GBv0j8s\n4PVNBRiNBn4wI4nhSV3vyW1noGPTvjRP+9I87aunzbOlvYWsilz2nT1AbtURrDYrADE+UQwM7s/A\n4P6EeAZd1df+tiKtG287iNVm5WRtCYfKczhYnk35hUoAzEYXBoekMjxsMEkBCbg4wWLjIo5itdr4\n+7rDrNlWhMXDzI9vGUB8pJ+jY4mISBfjanJlaGgaQ0PTqGup50BZFgfLD3O05hjHa4tZU7SRXl5h\npAQmkhSQQF+/aLts+KIWZ0fnm2vJqzpy6X8NrY3A5/9xB4ekkhbcn+TARDw6+dYNEWfU1NLGX9fl\ncvBoBeGBnjw8L5UQf09HxxIRkS7O29XChMjRTIgcTX1LA9kVuRwsP0x+dSFnij/mg+KPcTW5kuAX\nS2JAPLG+0URYwjEZTVf8d6lIXyWbzUZVUzVF509QdP4Ex2pOcKbh7KV/7+fmy6jwYaQGJZMYkICr\nSasKiFyuyvNN/CE9i5KyetISgvnBtEStzCEiIlfM4urFqF7DGNVrGC3tLRTWHCOv8gi5VUc4XJnH\n4co84POLnjE+UfT1jSbKO4JI7174u/l95223KtKXwWqzUnmhmtP1ZzhVX8qp+jMU157ifEvtpc8x\nG80k+seTFJhAckA/wr1C9SCUyFUoOnOeP6ZnU9vQwsRBETx022CqqxocHUtERJycq8mVlMBEUgI/\n3/Sv8kI1R2uOXbooWlB9lILqo5c+39PFgwhLOL+98fFv/JpOW6R/sOZxgtyDCPEIIsDDnwA3P7xd\nLXi7WrCYvfB2teBqcv3Or2O1WbnQ1kR9awMNrQ3UtTRQ3VxD5YUqKi9UUdFURfmFSlq+eBL0Ih9X\nb9KCBxDr24dYvxgiLb2u6i0BEflfe/PO8fcNebS1W7l9cjyThkTiYuoau1eJiEj3EujhT6DHEEaE\nDwGgobWR4+dPcuqLC6en689wtOb4t34Npy3SnmYPTtQWc+z8iW/8HKPBiIvRBbPRBbPRjMlgwmqz\n0m5rp83aRputndb2Vmx888IlbiZXgj0CCfcKJdLSiwhLOBGWXvi6aStiEXux2Wy8u+sEa3Yex93V\nxINzBpIaG+joWCIi0oN4mT3pH5RE/6CkSx9r/sqF1K9y2iL9h+m/ofRcNVVNNVQ1VVPdVENdaz31\nLQ3UtdZT11JPc3szrdY22qxtl/5pMhgxm9xwMXjhYjRhNpqxmL3wMnthcfXCYvbC19WbIM9AgtwD\n8TJ76hYNkQ7U2tbOaxvz2ZN7jiBfdx6al0pksGO3fBUREYHPL6h+G6ct0gAuRhdCPIOuel1ANI2u\nvgAAGkFJREFUEXGsmvpmXs7IpuhMLXERvvxo7gB8vL77liwREZGuwKmLtIg4r+OltSzNyKa6rplR\nKaF8b2oiZhc9ZyAiIs5DRVpEOt2nOWf5x8Z82tutzJ8Yy03Dtd23iIg4HxVpEek0VquNVduK2LSn\nGA83Ez+am0pqrG7NEhER56QiLSKdorGplb+syyX7WCWhAZ48dMsAwgO9HB1LRETkqqlIi0iHK61s\n4A/p2ZyraqR/3wDun5minQpFRMTpqUiLSIfKKqrkL+tyuNDcxk0jopg3IRajUfdDi4iI81ORFpEO\nYbPZ2LS3mFVbizCZjNw7I5lR/cMcHUtERMRuVKRFxO6aW9r5x3t57M0rw8/iyo9vSSUm3MfRsURE\nROxKRVpE7KqsupGlGdmcKm8gLsKXH87pj5/FzdGxRERE7E5FWkTsJquokr+uy6GxuY2JgyO4bVI8\nLiajo2OJiIh0CBVpEblmVpuN9Z+cYO2O45hMRhZPS2JsarijY4mIiHQoFWkRuSaNTW38bX0uB49W\nEOjjxoNzBxAdpvuhRUSk+1ORFpGrdrqigaUZn68PndTHn/tnpeDt6eroWCIiIp1CRVpErspn+WX8\nfUMeza3tTB0RxdwJfTEZdT+0iIj0HCrSInJF2q1WMrYd4709xbiZTTwwuz/DEkMcHUtERKTTqUiL\nyGWrqW/mz2tzOFJSQ6i/Bw/OHUBksMXRsURERBxCRVpELkveyWr+si6H2oYWhvYL5p5pSXi46RQi\nIiI9l14FReRbWW02Nn56ktU7jmE0GLhtcjyTh0RiMBgcHU1ERMShVKRF5BvVX2jlb+tzySqqxN/b\njQdm9ycuwtfRsURERLoEFWkR+VrHztTyyppsKmubSYkJ4L6bk7W0nYiIyJeoSIvIv7HZbGw5cJpl\nHxVitdqYPTaGGaOjMRp1K4eIiMiXqUiLyCUXmtv416Z89uaVYfEws2RmCikxAY6OJSIi0iWpSIsI\nAKfL63l59WHOVjUSF+HL/bNSCPBxd3QsERGRLktFWqSHs9ls7Mo+y5sfFNDSamXKsN7Muy4WF5N2\nKRQREfk2KtIiPdiF5jbe3FzApznn8HBz4cE5yQzpp10KRURELoeKtEgPdfJsHX9ee5hz1Rfo28uH\nJTNTCPbzcHQsERERp6EiLdLD2Gw2Ptp/ihVbj9LWbmPqiCjmjO+rWzl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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate angle from x-y plane to projection of sun vector onto x-z plane\n", "# and then obtain wid by translating tmp to convention for rotation angles.\n", "wid = pd.Series(90 - np.degrees(np.arctan2(zp, xp)), index=times)\n", "\n", "# filter for sun above panel horizon\n", "wid[zp <= 0] = np.nan\n", "\n", "wid.plot(label='tracking angle')\n", "ephemout['apparent_elevation'].plot(label='apparent elevation')\n", "plt.legend()\n", "plt.title('Ideal tracking angle without backtracking')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "``arctan`` version" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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1wdXVVsayHsl41i8Zz/ojY1m/ZDzrl4xn/ZLxrD+urrY3vK1Bg/Tf/vY33njjDfR6PQEB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\nJTNTCPbzcHQsERERp6EiLdLD2Gw2Ptp/ihVbj9LWbmPqiCjmjO+rWzl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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tmp = np.degrees(np.arctan(zp/xp)) # angle from x-y plane to projection of sun vector onto x-z plane\n", "\n", "# Obtain wid by translating tmp to convention for rotation angles.\n", "# Have to account for which quadrant of the x-z plane in which the sun \n", "# vector lies. Complete solution here but probably not necessary to \n", "# consider QIII and QIV.\n", "wid = pd.Series(index=times)\n", "wid[(xp>=0) & (zp>=0)] = 90 - tmp[(xp>=0) & (zp>=0)]; # QI\n", "wid[(xp<0) & (zp>=0)] = -90 - tmp[(xp<0) & (zp>=0)]; # QII\n", "wid[(xp<0) & (zp<0)] = -90 - tmp[(xp<0) & (zp<0)]; # QIII\n", "wid[(xp>=0) & (zp<0)] = 90 - tmp[(xp>=0) & (zp<0)]; # QIV\n", "\n", "# filter for sun above panel horizon\n", "wid[zp <= 0] = np.nan\n", "\n", "wid.plot(label='tracking angle')\n", "ephemout['apparent_elevation'].plot(label='apparent elevation')\n", "plt.legend()\n", "plt.title('Ideal tracking angle without backtracking')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Backtracking" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Account for backtracking; modified from [1] to account for rotation angle convention being used here." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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10mRrWKSJiIhuUuq5MixcfxI6ncCk0R0Q38ZT6khmwdPVHh4udsi+UAkhBGQy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\ne4/Tp09TXFxMTEwMvr6+yvMCFi5cyJ49e7jnnnt48cUXKSw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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "if backtrack:\n", " axes_distance = 1/gcr\n", " temp = np.minimum(axes_distance*cosd(wid), 1)\n", "\n", " # backtrack angle\n", " # (always positive b/c acosd returns values between 0 and 180)\n", " wc = np.degrees(np.arccos(temp))\n", "\n", " v = wid < 0\n", " widc = pd.Series(index=times)\n", " widc[~v] = wid[~v] - wc[~v]; # Eq 4 applied when wid in QI\n", " widc[v] = wid[v] + wc[v]; # Eq 4 applied when wid in QIV\n", "else:\n", " widc = wid\n", "\n", "widc.plot(label='tracking angle')\n", "#pyephemout['apparent_elevation'].plot(label='apparent elevation')\n", "plt.legend(loc=2)\n", "plt.title('Ideal tracking angle with backtracking')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare tracking angle with and without backtracking." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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iMxZXLLe1vlUluhI57VbObVmb/MIKtu4rMDuOSKVRkRYRkWptye4tTFnxLBWO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\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tracking_angles = pd.DataFrame({'with backtracking':widc,'without backtracking':wid})\n", "tracking_angles.plot()\n", "#pyephemout['apparent_elevation'].plot(label='apparent elevation')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Max angle" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Apply angle restriction." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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qwXTFr9IN1/HLaxY8Uk675L2l96draTyLX4kX6aVLl3Lo0CHGjx/P2bNnyc7O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\nRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tracker_theta = widc.copy()\n", "tracker_theta[tracker_theta > max_angle] = max_angle\n", "tracker_theta[tracker_theta < -max_angle] = -max_angle\n", "\n", "tracking_angles['with restriction'] = tracker_theta\n", "tracking_angles.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Calculate panel normal" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate panel normal vector in panel x, y, z coordinates.\n", "y-axis is axis of tracker rotation. ``tracker_theta`` is a compass angle\n", "(clockwise is positive) rather than a trigonometric angle." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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97suLze5kxcZUlv2WgtXmoFFUACOuak5iw/MvcC/UieI8Pa/svLdx2irJW7oE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\nry+USiVyc3MRGxsLhUKB9evXY9SoUejXrx9Gjx4NjUYjVhynx3mKh7M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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "panel_norm = np.array([sind(tracker_theta), \n", " tracker_theta*0,\n", " cosd(tracker_theta)])\n", "\n", "panel_norm_df = pd.DataFrame(panel_norm.T, columns=('x','y','z'), index=times)\n", "panel_norm_df.plot()\n", "plt.title('panel normal vector components in panel coordinate system')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "sun position in vector format in panel-oriented x, y, z coordinates. We've already seen this above, but it's good to look at it again after calculating the tracker normal vector." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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UVjUyc2w31GrXOJ/bM2mRFvKp1cEkn47lrvm0NzZSse5bKjesQzGb0QYHEzzp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\nmvBAHYdOFXIyp1zuOIKFXazOZUHqInJrr9ArqAd/TJpFmE6+9l6VPx6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9X2ZE1DC72FD4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\no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sEQFY3pN2MIHjy01fsmudnQQ1xNTTRs30r9hvU0Hz0CgE+nWExjLiV4yNBWXeHnQm5I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\nIYQ4D/8PCEEDCifjW/4AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sun_vec = np.array([xp, yp, zp])\n", "\n", "panel_coords = pd.DataFrame(sun_vec.T, columns=('x','y','z'), index=times)\n", "\n", "panel_coords.plot()\n", "plt.title('sun position in panel coordinate system')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### AOI" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate angle-of-incidence on panel" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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3x2d1KQBiQG+QziFII4oRpIEY4WZOGkAIfbYinWhxJUDfIUgDMYKTOwCEUu2+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\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aoi = np.degrees(np.arccos(np.abs(np.sum(sun_vec*panel_norm, axis=0))))\n", "aoi = pd.Series(aoi, index=times)\n", "\n", "aoi.plot()\n", "plt.title('angle of incidence')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The power produced by the tracker will be primarily determined by the cosine of the angle of incidence." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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zffEBdff009YBwHTYkUa+IUgDeYYZ0gDMqtLrkk0cyoL8QZAG8kwqSHOqIQCz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\nHWmYBkEaMJk2dqQB4GMFfKX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cosd(aoi).plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Surface tilt and azimuth" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate panel tilt ``surface_tilt`` and azimuth ``surface_azimuth``\n", "in a coordinate system where the panel tilt is the \n", "angle from horizontal, and the panel azimuth is\n", "the compass angle (clockwise from north) to the projection \n", "of the panel's normal to the earth's surface. \n", "These outputs are provided for convenience and comparison \n", "with other PV software which use these angle conventions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Project normal vector to earth surface. First rotate about x-axis by angle -axis_tilt so that y-axis is also parallel to earth surface, then project." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cos(axis_azimuth_south)=0.984807753012208, sin(axis_azimuth_south)=-0.17364817766693033\n", "cos(axis_tilt)=1.0, sin(axis_tilt)=0.0\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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xJ6bgEK3j1YqtB3L4/Pf9ZOWV4edt4pZrm9O9bST6Gh4yERHsjV6nu6BCunD1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\n", 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Pj48n8D788MP64osvlJaWJrfbrTlz5tywLgMHDtSiRYvUtm1bDR8+XC6XS8ePH1dISIi2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\niYmJGjBggFq0aKFTp07phx9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate standard rotation matrix\n", "print('cos(axis_azimuth_south)={}, sin(axis_azimuth_south)={}'\n", " .format(cosd(axis_azimuth_south), sind(axis_azimuth_south)))\n", "print('cos(axis_tilt)={}, sin(axis_tilt)={}'\n", " .format(cosd(axis_tilt), sind(axis_tilt)))\n", "\n", "rot_x = np.array([[1, 0, 0], \n", " [0, cosd(-axis_tilt), -sind(-axis_tilt)], \n", " [0, sind(-axis_tilt), cosd(-axis_tilt)]])\n", "\n", "# panel_norm_earth contains the normal vector expressed in earth-surface coordinates\n", "# (z normal to surface, y aligned with tracker axis parallel to earth)\n", "panel_norm_earth = np.dot(rot_x, panel_norm).T\n", "\n", "# projection to plane tangent to earth surface,\n", "# in earth surface coordinates\n", "projected_normal = np.array([panel_norm_earth[:,0], panel_norm_earth[:,1], panel_norm_earth[:,2]*0]).T\n", "\n", "# calculate magnitudes\n", "panel_norm_earth_mag = np.sqrt(np.nansum(panel_norm_earth**2, axis=1))\n", "projected_normal_mag = np.sqrt(np.nansum(projected_normal**2, axis=1))\n", "#print('panel_norm_earth_mag={}, projected_normal_mag={}'.format(panel_norm_earth_mag, projected_normal_mag))\n", "\n", "projected_normal = (projected_normal.T / projected_normal_mag).T\n", "\n", "panel_norm_earth_df = pd.DataFrame(panel_norm_earth, columns=('x','y','z'), index=times)\n", "panel_norm_earth_df.plot()\n", "plt.title('panel normal vector components in Earth coordinate system')\n", "\n", "projected_normal_df = pd.DataFrame(projected_normal, columns=('x','y','z'), index=times)\n", "projected_normal_df.plot()\n", "plt.title('panel normal vector projected to surface in Earth coordinate system')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Surface azimuth" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate surface_azimuth. This takes a few steps. We need to take the arctan, rotate from the panel system to the south-facing Earth system and then rotate the Earth system to a north-facing Earth system. We use the ``arctan2`` function, but PVLIB MATLAB uses ``arctan``." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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20mVUSTVrRqu4uDTSZZwTgr00ZOjrdQk6SpAGAEsI0kAV0N7bRu29bSJdRpXk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\nQv3mN7+hl79QTk6OZs6cqXf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# calculation of surface_azimuth\n", "# 1. Find the angle.\n", "surface_azimuth = pd.Series(np.degrees(np.arctan2(projected_normal[:,1], projected_normal[:,0])), index=times)\n", "surface_azimuth.plot(label='orig')\n", "\n", "# 2. Rotate 0 reference from panel's x axis to it's y axis and\n", "# then back to North.\n", "surface_azimuth += 90 + axis_azimuth\n", "\n", "# 3. Map azimuth into [0,360) domain.\n", "surface_azimuth[surface_azimuth<0] += 360\n", "surface_azimuth[surface_azimuth>=360] -= 360\n", "surface_azimuth.plot(label='compass angle north')\n", "\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "``arctan`` version" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ByrUZnM5Iemki+mku+mmeX/cy25UnSTp5MkcZGdyT4g1em+ain+ain+Y51w8k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\nvEWQBgAL8mx/x4o0AHiNIA0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# calculation of surface_azimuth\n", "# 1. Find the angle.\n", "surface_azimuth = pd.Series(np.degrees(np.arctan(projected_normal[:,1]/projected_normal[:,0])), index=times)\n", "surface_azimuth.plot(label='orig')\n", "\n", "# 2. Clean up atan when x-coord or y-coord is zero\n", "surface_azimuth[(projected_normal[:,0]==0) & (projected_normal[:,1]>0)] = 90\n", "surface_azimuth[(projected_normal[:,0]==0) & (projected_normal[:,1]<0)] = -90\n", "surface_azimuth[(projected_normal[:,1]==0) & (projected_normal[:,0]>0)] = 0\n", "surface_azimuth[(projected_normal[:,1]==0) & (projected_normal[:,0]<0)] = 180\n", "surface_azimuth.plot(label='x or y 0 corrected')\n", "\n", "# 3. Correct atan for QII and QIII\n", "surface_azimuth[(projected_normal[:,0]<0) & (projected_normal[:,1]>0)] += 180 # QII\n", "surface_azimuth[(projected_normal[:,0]<0) & (projected_normal[:,1]<0)] += 180 # QIII\n", "surface_azimuth.plot(label='q2, q3 corrected')\n", "\n", "# 4. Skip to below\n", "\n", "# From PVLIB MATLAB...\n", "# at this point surface_azimuth contains angles between -90 and +270,\n", "# where 0 is along the positive x-axis,\n", "# the y-axis is in the direction of the tracker azimuth,\n", "# and positive angles are rotations from the positive x axis towards\n", "# the positive y-axis.\n", "# Adjust to compass angles\n", "# (clockwise rotation from 0 along the positive y-axis)\n", "# surface_azimuth[surface_azimuth<=90] = 90 - surface_azimuth[surface_azimuth<=90]\n", "# surface_azimuth[surface_azimuth>90] = 450 - surface_azimuth[surface_azimuth>90]\n", "\n", "# finally rotate to align y-axis with true north\n", "# PVLIB_MATLAB has this latitude correction,\n", "# but I don't think it's latitude dependent if you always\n", "# specify axis_azimuth with respect to North.\n", "# if latitude > 0 or True:\n", "# surface_azimuth = surface_azimuth - axis_azimuth\n", "# else:\n", "# surface_azimuth = surface_azimuth - axis_azimuth - 180\n", "# surface_azimuth[surface_azimuth<0] = 360 + surface_azimuth[surface_azimuth<0]\n", "\n", "# the commented code above is mostly part of PVLIB_MATLAB.\n", "# My (wholmgren) take is that it can be done more simply.\n", "# Say that we're pointing along the postive x axis (likely west).\n", "# We just need to rotate 90 degrees to get from the x axis\n", "# to the y axis (likely south),\n", "# and then add the axis_azimuth to get back to North.\n", "# Anything left over is the azimuth that we want,\n", "# and we can map it into the [0,360) domain.\n", "\n", "\n", "# 4. Rotate 0 reference from panel's x axis to it's y axis and\n", "# then back to North.\n", "surface_azimuth += 90 + axis_azimuth\n", "\n", "# 5. Map azimuth into [0,360) domain.\n", "surface_azimuth[surface_azimuth<0] += 360\n", "surface_azimuth[surface_azimuth>=360] -= 360\n", "surface_azimuth.plot(label='compass angle north')\n", "\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The final ``surface_azimuth`` is given by the curve labeled \"compass angle north\". This is in degrees East of North." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Surface tilt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate ``surface_tilt``. We use the pandas ``sum`` function because it evaluates ``pd.Series([np.nan]).sum()=nan`` whereas numpy evaluates ``np.nansum(np.array([np.nan]))=0``." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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K9DBbO8gk8v551euvvw5JknD06FFcu3YNL7zwAkZHR2f+PBqNwuv1zuqxfD5u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\noajoUIjui4k0kcYpqoruwTACZQVw2C2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "surface_tilt = (90 - np.degrees(np.arccos(\n", " pd.DataFrame(panel_norm_earth * projected_normal, index=times).sum(axis=1))))\n", "\n", "surface_tilt.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "According to the MATLAB code, surface_tilt is \"The angle between the panel surface and the earth surface, accounting for panel rotation.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ``tracking.singleaxis`` examples " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With backtracking" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [], "source": [ "tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=0, axis_azimuth=180, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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xsXHMnj2TJUsWYbXaKC0t6weysjLLj7/pprISjIMH9/Paay8DZXuJtGjR8rxiDAQCFd16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\ncrMreu+Ku3u4MGFqBDOvjcPJVbtuiIjI4KNGWkQACAr1pvB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tracker_data.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Without backtracking" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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GERFpVChc29qhVTtERC6mQlpERBqlkw1FRBqnkVFERBoVrj/ZUG8XIiIX0sgo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\n+EWqqqpISEjAYrEQGBhIfX09drudvXv3XvHNhm1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=0, axis_azimuth=180, max_angle=90,\n", " backtrack=False, gcr=2.0/7.0)\n", "tracker_data.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Explore ground cover ratio" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [], "source": [ "aois = pd.DataFrame(index=ephemout.index)\n", "\n", "for gcr in np.linspace(0, 1, 6):\n", " tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=0, axis_azimuth=180, max_angle=90,\n", " backtrack=True, gcr=gcr)\n", " aois[gcr] = tracker_data['aoi']" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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aWt/lu1df7KK7fXhZz1m3qZRrbq5fcMyhQwdJJBI8/viPOXmylR/84FEefvjv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\nYCB6vZ7Cw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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aois.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ensure that max_angle works." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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1jCIiElb1HGmt2CEicigV0iIiElbICGmOtIhILVRIi4hIWJraISJSO/WMIiIS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\n6fPnz7N8+XK2bNnCpUuXcHNzo6qqinXr1jFjxgx27tyJTqf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=0, axis_azimuth=180, max_angle=45,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Play with axis_tilt." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0, 360)" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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SWCeGjMQeN/nSN8tIrMiJYVUjCevvosU9DKMJBWhNpPB7HJQUuKntLu6UryNT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m7jQ8PZDJgLCala3t3TzgGdhnmXXc7Cr99K9HA9w9vewHegAf/RI/T+9jfYl68ga+3VmMrL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\nxucPkiGLOoVESryFlHgzu4820+3xn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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aois = pd.DataFrame(index=ephemout.index)\n", "tilts = pd.DataFrame(index=ephemout.index)\n", "azis = pd.DataFrame(index=ephemout.index)\n", "thetas = pd.DataFrame(index=ephemout.index)\n", "\n", "for tilt in np.linspace(0, 90, 7):\n", " tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=tilt, axis_azimuth=180, max_angle=90,\n", " backtrack=True, gcr=2/7.)\n", " aois[tilt] = tracker_data['aoi']\n", " tilts[tilt] = tracker_data['surface_tilt']\n", " azis[tilt] = tracker_data['surface_azimuth']\n", " thetas[tilt] = tracker_data['tracker_theta']\n", " \n", "fig, axes = plt.subplots(2, 2, figsize=(16,12), sharex=True)\n", "ax=axes[0,0]\n", "aois.plot(ax=ax)\n", "ax.set_ylim(0,90)\n", "ax.set_title('aoi')\n", "\n", "ax=axes[0,1]\n", "thetas.plot(ax=ax)\n", "ax.set_ylim(-90,90)\n", "ax.set_title('tracker theta')\n", "\n", "ax=axes[1,1]\n", "tilts.plot(ax=ax)\n", "ax.set_title('surface tilt')\n", "ax.set_ylim(0,90)\n", "\n", "ax=axes[1,0]\n", "azis.plot(ax=ax)\n", "ax.set_title('surface azimuth')\n", "ax.set_ylim(0,360)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Makes sense if the panels are facing South at solar noon, as expected with ``axis_tilt>0`` and ``axis_azimuth=180``.\n", "\n", "The limiting cases of 0 (flat) and 90 (vertical) seem to make sense if you switch the backtracking on and off. \n", "\n", "Next, try to point the panels North." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0, 100)" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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qZfJhhPD2+/nwzRN43D5uubOIwsnh7+c6GmyxJu55cBparYZt752k\no3X8ljIXX+3grjrqqrvIyotn/m0FIz7fny4JDlDeXgUwtBDL+TtwQkQySaSFiDJ5aTYCgyrJuizg\n4vIO85RitDY7zkMHUAMjXznOFmu6YOXDMlyy8mFYBYNBtr5bPjwqOH1OVrhDGlUp6XbuXDWFgD/I\npj+ckNdbhKg91cHhvaH+5MvWTB1e4OJaBQcGcB06gC4hgZhJk4cfP5dIe7tD/ahzZERaRAFJpIWI\nMuc+XHTe0Cz3c4sXAChaLba58wi6XLj/ZHnUa5WZG8+COwrpd/vZ8k6ZTD4Mo70f19BU30tuUSIL\nbi8MdzhjomBSMvNvL8Dt8rHpDyfw+2Qp8XDqanfx8QcV6PQalj8QukM1Uq5jRwh6vdjnL0QZSspV\nVaW8o4o4YywtLWA26kiOssmz4sYkibQQUeZc3WBfpwmT1nTRiDSAff4CAJyf7xu155w+O1QT2d7s\nZOfWKpl8GAYnjzdz4nAT8Ulmlq6acl1PwpoxN5spN6XT2ebi4w8q5fUWJt5+P5vfLiPgD3Lnyikk\nJlu/+qArcK707MKyjhZ3G84BFwX2fNp7vDLRUHypzZs/5LHHvs53v/tf+OCD94DQl7Ef//gFvvOd\ndTz99Hdoarp04vLu3Tt5/PE/Z/36dbz//rujEov0kRYiymQmWdFqFM62uiickUd5VyW9A33EGUO3\nQ415+ehTU3EdO0rQ24/GFDPi5wxNPpxId6ebytJWktNslMzMHPF5xZVpaehl15bTGE06VjwwDYPx\n+n7rVhSFW++aQF9PP2eqOjmyt55Zt+SFO6wbSjAYZNt7J3H0epm1MJeCSaNTix9wOPCcLMeYl48h\nLX348aqhtnfxSgYQJFfKOiLW7z+p5mBl+6iec87kFL52x5Ut7NPX18urr/6Kf/3X/8BisfBf/+sT\nzJ49j1OnKvD5fLz00q8pLy9j48YXeeGFnwwfFwgE2LjxRV599XWMRhPr169j0aIlxMfHjyh2GZEW\nIsrodaEJhw3tbgpj8wEu6t6hKAr2eQtQfT5cR46M2vPqLph8uGd7NS0NvV99kBgxZ5+Xze+Uo6oq\nd60tJjZ+5F+MooFWq+GutVOx2o0c2FVHfXVXuEO6oez/tJbGuh5yixKZc2veqJ3XefBzCAaH75yd\nc+49THGFFpOSiYbiizQ3N1FUNBGr1YqiKEyePJXy8lJKS48xb15ohczi4hIqKysuOq6+vo6srGws\nFis6nY7p02dw/PjIPyOv72ENIa5TuWk26tucxKoZQGjC4Zy0m4e32+YtoOuP7+L4fN9Ft09H6tzk\nw/d/d5wt75bz4GOzIn456mgW8A+y+e0yvB4/t941gay8kY2cRJsYs4Hl95fwzm+Osv39kzzw2Czi\nEszhDuu6d6qsleMHG4lLHP0yIufn+0BRsM2ZO/xYUA1S3VtLojme9o7Qc0nru8j1tTuKrnj0eCxk\nZmZz5kwtPT09xMTEcPjwQXJycvF43BctG67VagkGg8OTY91uFxbL+e1mswWXyzXieGREWogodO62\n50CfFaPWQPWf1EkbUlMxFRTgOVlOoG90R44zc+NZeEfR0OTDcgKBwVE9vwhRVZWdW0/T2eZiyk3p\nFN+cEe6QwiI5zcaS5RPxDYS+VPgGZPLhWGpvcbBj0ykMRi0rHigZ1TIiX1sb3tpazFOmoos93/u8\n1d2Oy+9mavIEzra6MBm0JN8gd17ElXv55V/y1FPf5vvf/29897v/lb/927/hRz/6PpMmTSY2Ng6L\nxYrH4x7e/8IkGrhku8fjxmYb+Rc2SaSFiELnRmvODpV3tHk66Bu4uO+ubd4CUFWcBw+M+vNPm53J\nxJJU2luc7NoqKx+OhYrjLZw6EapHX7Ss6IaeeDWpJI1pszPp6fTwyYcy+XCseNw+Nr9dzuCgytLV\nU0d99N95YD8w9N50gZq+MwAUxRfQ2uUhN9WG5gZ+vYvLe/zx9fz857/ipz/9F06fPsW//Msr/I//\n8QL19XVMn34T06ZNZ9++UH/ysrITFBZePGqem5tHY2MDTqcTv9/PsWNHKS6ePuK4JJEWIgplJVvQ\nahTqW51MiAstjlDde/FqhrY580CjwbF/9Lp3nKMoCkvunkhympXK0lbKj8rKh6OpvSW0NLvRpOPu\n+4rR6bThDinsFtxeSEZOHGeqOjn2eUO4w7nuDA4G2fJOGW7nAPOW5JNbmDiq51dVFcf+fSh6PdaZ\nsy7aVt0bSqTNg6moIBMNxZc6N8q8bt2f8fTT3+ahhx7Gbo9l8eLbMRgMrF+/jl/84kWeemoDANu2\nbeb9999Fp9Px1FMb2LDhSdav/8+sWrWGpKSkEccjNdJCRCG9TktmkoWGdhcPx+YBcLr3DLNSZwzv\no7PbMU8txlN2Al9rK4a0tFGNQafXcvd9JfzhtcPs2V5NQrKFjChfqjoSePv9bH2nnOCgytIHpmKT\nXrpAaPLhsjVTefNfD/H5jlpSM+3yehtFu7dX09rooGhKMjfPzxn18w/U1+Fva8U6ey7amPNlG6qq\nUt17BqveQl9nqEe1TDQUX+Wb33ycb37z8YseUxSFZ5557pJ9ly1bPvzzwoWLWLhw0ajGIiPSQkSp\n3DQb/kAQvS8Bg0Z/ST9pAPvQLVTHKPaUvpAt1sRda0IrH259pxyXwzsmz3OjCAZVtr9fgdMxwJxF\neeQUJIQ7pIhithhYtnoqANvfO4nH7QtzRNeHk8eaOXm0mcQUC7etmDwmZUTn7oz9abeObm8PvQN9\nFMXlU9PUB8iItIgukkgLEaXO1Uk3tHkoiM2j1d2G03fxDGTrzTNRDAac+/eNWV1pZm48t9xZRL9H\nJh+O1JG99TTUdpNTkMCsW3LDHU5EysiJY96S0MqH2/94kmBQ6qVHoqWxj11bT2OK0bP8/hL0htEv\nI1KDQZwHP0djsWApmXbRtnNlHYVx+dQ29WHUa0mTziwiikgiLUSUOrdUeH2rkwnxoTrpmqEPpXM0\nJhPWm2fi72jHe+bSEevRUjIrk0lDkw93bpHJh9ei+Wwvh/bUYbUbufM6X7lwpGbMyya3MJGm+tA1\nE9fG5fCy5Z2yoR7lU7HHjU2nDE/FSQb7+rDNnoOiu7ii9FwinWvN5Wybk+xUKxqNvPZF9JBEWogo\nlZ1sRaMo1LU5KByqk67pq7tkv3Mz5J37945ZLIqisHj5RJLTbJw60UrZkaYxe67rUb8nNLoKsGz1\nVEwx+jBHFNkUReGOlZOx2Y0c3lNPw5nucIcUdUI9ysvpd/u55c4iMnPHrke58/PLd+uAUMcOk9ZI\n0GMjGFSlPlpEHUmkhYhSBr2WjCQzDe0usq1ZaBUtNb11l+xnmVqM1mrDefAAamDsevDqdFqW319M\njFnP3o9raD4rKx9eCVVV+eTDStwuH3MX55OWFRvukKKCKUbPXfcVo9EqbH+/ArdrINwhRQ1VVdmx\nuYqOVieTp6VRMitzzJ4r6PPhOnIIXUIiMUUTLtrm8Dlp83SQH5tLQ1uov68sxCKijSTSQkSx7BQb\nPn+QXucgObZMGlxNDAxePAFL0emwzZ3LoNOJp+LkmMZjtZu4a20xAFvelcmHV6L0YCNna7rJzo8f\nk24J17OUdDsLbi/E6/HzyQfSX/pKlR5spKq8jZQMG4vvnjimZUTu0mMEvV5s8+ajaC5OOc598S+K\nK6C+NdQHX0akRbSRRFqIKJadElrutKHdRUFcHkE1SF3f2Uv2O3dLdSx6Sv+pjJw4Ft4ZSm42v11O\nwC+TD79Ie4uD/Z/VYrYYuGOl1EVfi2mzMsktTKSxrkf6S1+Bxrpu9n1ag9lqYPl9JWh1Y5sGfFG3\nDjg/p6MoLp/6VicGnYb0JJloKKKLJNJCRLGc1FAifbbNSVFsPnB+lbALmQoK0Sen4Dp6mKB37EeJ\nS2ZmMmlaGh2tTnZsrpKRwssY8AbY+m6o68Sdq6ZgthjCHVJUUhSF2++dhNlq4MDOM7Q1O8IdUsRy\n9Paz9d2TKBqFu+8rxmIzjunzDbpcuE+UYsjKxpiZdcn26t5adIqWTEsGTZ1u8jLsaDWSlojoIq9Y\nIaLYRSPS5yYcXqZOWlEUbPPmo/p8uI4dGfO4FEVh8d0TSMmwUVXexvEDjWP+nNEkVKN6Cmefl5kL\nc8jKG7uJXjeCGLOBO1dOIRhU2fbeSQa8YzcXIFr5fQE2vVXGgDfA4rsmkpY59rX4zsOHYHBwuJ/9\nhfoDXhpdLeTac+jo9jEYVMnPkPkBIvpIIi1EFLOZDcTbjDS0u7AaLKSZUzjjqGcweGk5xblbq84D\nn49LbDqdluX3lWC2Gtj/WQ1na7vG5XmjQcXxFmoqO0jLsjNnUV64w7kuZOXFM3NBDs4+Lzu3yF2Q\nC6mqyscfVNLd4aZkZgZTbkofl+d1fr4PFAXbvHmXbKvtq0dFpSgun4b2UP97SaRFNJJEWogol51i\npcc5gNPjozAuj4FBH02ulkv2M6SlY8zOwV1exqDLdZkzjT6Lzcjy+0vQaBS2vXeSni7PuDxvJOvq\ncLF7ezVGk46lq6aikVvZo2b2ojxSM+1UV7Rz6kRruMOJGAd31XGmqnNo/kLRuDynv6uL/qpTxEyY\niD4h8ZLt1UMrsV6cSNvHJTYhRpO8gwsR5S4s7ygcrpOuu+y+trnzYHAQ19HD4xUeqRl2blsxCd/A\nIJveOsGA1z9uzx1pAv5Btv+xgsFAkNvvmYwt1hTukK4rWq2GpaumYDBq2bXttHxxA6or2jm8tx57\nnIm77ytGqx2fj33ngaHe0ZeZZAihiYYKSqj13VAinZcuibSIPpJICxHlLkqk4/KAS1c4PMc2Zy4A\nzgMHxiW2cyaWpDFjXjZ93f1s+2PFDbus8/7PaunucFM8M4P8iUnhDue6ZI+L4bYVkwj4g2x/7ySD\ngWC4QwqbjlYnn35Yid6gZcUD08Z1oR/ngc9Bq8U2c/Yl2/yDfuodDWTZMjBpQ6VpyXEmzCZZiEhE\nH0mkhYhy5xLps20uEk0JxBrs1PTVXbZGVJ+UjKmgEE/lSQJ9feMa57wlBeQUJNBQ283+z8ZuufJI\ndba2mxOHm4hLNLPg9sJwh3NdK5ycwpSb0ulsd92QrzUAj2uATW+VEQgEWbpqCgnJlnF7bl9rCwMN\nZ7EUl6C1Wi/ZXudoIKAOUhSXT6/Lh6vfT3aK9I8W0UkSaSGiXGq8GYNeQ0O7C0VRKIzLw+Fz0tl/\n+WWTbXPngariOnxwXOPUaBSWrp5CXEIMxw80cKrsxqlh7ff4+PTDytA1WDUFvV4b7pCue7fcWURc\nopnSQ4033BLigUBo+W+3c4B5S/LJmzC+dz+cB0N3vGxzLp1kCOdbdBbFnq+PPjcgIES00YXjSf/P\n//k/fPLJJ/j9fh555BHmzJnD9773PTQaDRMmTOD5558PR1hCRCWNRiEr2Up9qxN/IEhhbD5H2kup\n7jtDsvnSST622XPoeOO3OA8eIO6OpeMaq9GkZ8WD03jrtcPs2HSKuAQzqdf5BCNVVfls0yk8bh/z\nby8gOQKXQFaDQXwtLfhamvC1tODv6iLQ20vQ7SLo86EOBlC0OhSdDq3FgjY2Fn18Aoa0dAzp6Riy\nstHoI+u2vN6gZemqKbz9f4/wyYeV/Kf/PGdcSxvC5dzy323NDiYUp4z7apmqquI88DmKXo9lxs2X\n3edci87CuHx21nQCkkiL6DXuifSBAwc4evQov/vd7/B4PPz617/mhRdeYMOGDcyePZvnn3+e7du3\ns3Tp+H7ACxHNclKs1DY7aOlyD9dJ1/aeYUH6pfWJurh4YiZMpL/qFP7ubvQJCeMaa1yCmWVrivno\nzVI2v13Gg4/NGvOFIcKp4ngLdae7yMiJY8bc7HCHA4SSHV9jI+4Tx/FUVuCtrbnsQj2KTodiMKDo\ndKiDg6h+P6rPd9n9jLl5mCdNxlwyjZiCQhRdWMZpLpKcZmPOrXl8vuMMOzaf4q61xdf96pHHDzRQ\nVdZGSrqN25ZPGvff19fUiK+lGevMWWhjYi7ZHlSDnHHUkxyTiM1gpaG9DpBEWkSvcX+n2717NxMn\nTuSJJ57A7XbzN3/zN7z55pvMnh36wF+8eDF79+6VRFqIq3DhhMP5xWmYtMYv7NwBofKO/qpTuA4d\nIP6u5eMU5Xk5BQnMv62QfZ/WsPntMtb82Qx0uuuv3KG328Oej6sxGHXcuXJy2JM495k6OjZ/jPPA\n5wS6z/f11qelYS0owpiVjSEjHX1SCrq4WDSmyyRCPh+DfX34uzpDtbBNjXhra/HWncFbU033Rx+g\nMVuwzpqFfe58YiZNRglji78Z83Kor+mm9lQnp8ramDwtLWyxjLX6mi72fVqLxWpg+f0l6MJQQnSu\nT71t7uXLOto8HfQHvExPKgZC71kxRi1J0sFGRKlxT6R7enpobm7mV7/6FQ0NDaxfv55g8PysaovF\ngtPpHO+whIhq2amhcoGzbS5umZZOfmwuFd1VOH0ubIZLR3qss2bT/h+/wXHg87Ak0gA3zc2iq91F\nVXkbOzZVcUcEJJqjaXAwyPY/VhDwB7lr7WSs9vAkCsGBAZwH9tP72acM1NcBoImJwTZvPpbpN2Ge\nWozOduXlNRqDAU1yMvrkZMyTp5x/Hq8Xz6lK3GWluI4cwbFrJ45dO9EnJRO7eAn2Wxdf1fOMFo1G\n4c6Vk/n9rw+xe9tpMrJjscdd+gUh2vV0utn+x5NodRqWP1ASlrs8qqriPHgAxWjEMu2my+5TO/QF\nPz82F59/kNZuD0WZsdfV3764sYx7Ih0XF0dhYSE6nY78/HyMRiNtbW3D291uN3b7lb3ZJidHXq1h\ntJJrObrG+3pa7TEoCrT19pOcbGN6xiQquqvoVNsoSL7MKmbJNrpvmk7v0WNYA25i0sMzSvfgo7P4\nt3/ZS1V5G7kFiSy47fLdLKLx9fnJRxV0tDq5aXYW828d/y4dfoeTlo820fLhJgIOB2g0JMydQ8od\ntxE/ayYag2GUn9EG2cmw9FbUwUEcFZW0f/oZnbv20Pn2H+j+4I+k3Hk7GWtWj/vrLTnZxj0PTOO9\n3x5j5+YqHnvyFjSa0UncIuG12e/x8cYrB/ENDHLfn91M8fTMsMThPF2Nv6OdpFtvITXr8hMcm880\nAzA7byoep4qqwsTchOHrGAnX83oi13PsjXsiPWvWLF5//XX+4i/+gra2Nvr7+5k/fz4HDhxg7ty5\n7Ny5k/nz51/RuTo6ZOR6NCQn2+RajqJwXc+UuBhqGntpb3eQps8A4OjZCvKNl0/ijDNmwdFj1G/5\nhMR7V41nqBdZumoKf3jtMNs/OIkhRktOwcUTJKPx9dnc0Mvuj6uxxZqYfWve/2PvrOPkKs/+fZ1x\nXasTf7kAACAASURBVHfLSrJxF0KAJAQLEFxqUKG4Fmmp/Wj7tm/1bYsVCNo2UNwKBA8SSELck43s\nZt1l3Of8/pidTUKy2d3ZmZWZ5/qHz2f2nOe5M8zM+Z77fO/7HtL4gx4PnR++T+d7Kwm63SgMRtLO\nv4DkRYvJGx+Kpd3iATyxDSS7iJRvfhfzhZdjXfslXR9+QNO779P0wUckL1xE+rKLUCUP3Ujo3KJk\nyiZkcnBvKx+8tYvZC8YMes2R8NkMBoO889IOOtoczDy5iJzC5GGLqfXDTwDQTJvdawx7mg+gU2rR\nek1sqAh17skwa2httY2I9zOeEO9n9DjRDcmQC+nFixezceNGLr/8cmRZ5te//jX5+fn88pe/xOfz\nUVZWxtKlw/OoWSAYzRRmmdhY0UqnzUNxUiEKScEBy/EHswCYZs6iZcW/sK3/aliFdHiM+JvPbeHD\nN3dz6dWzSM0Yup630cbr8bPq7b1IEt1T9obmZ1YOBrF+uZq2N18n0NWF0mQm88qLSV64GIVu+Pyn\nSoOB1DPOImXxEmwbN9D+39exfLIK65o1pJ2zlNSzzzmuFzvaSJLEwnPKaaqzsPGLQxSVpo3IDioD\nZc3HB6k71Enx2HROWlgybHHIwSC2DRtQ6PUYpkw97jF2n4NmZysTUsehkBRHtL4b/f8fBInLsJRV\n33PPPce8tmLFimGIRCCIH8JCuqbZzoxxGRSa8qmzNeAL+FArj237pTQYMUyZimPrFjwN9Wjzhudx\nMHSPET9vAh+/tYeVr+zgsu/NHrWtytasOojN4mbWgiJyCoYm4+rcs5uW55/D21CPpNGQdv4FpC49\n77hdE4YLSakk6aT5mGfPwbL6c9rfeoP2/75B1yeryLjsCpJOOTXmPlmdXs3p50/g7Re389F/d3P5\nD+aM6p7eu7c2sGNTPWmZRs64YOKw+ozdlQfxd7STtOCUXlshHrLUAFCaHHoaEOp9D/lDOCxGIIg2\nYiCLQBAnhAsOa1tCj/JKkosIyAFq7fW9nmOeMxcA+6aNsQ+wD8onZzNrQRHWLjfvvbaTQGD0jXau\nPtDOnm2NZGSZmHNKccz3CzgcNP3zKer++me8jQ0knXoaxb/7IxmXXDaiRPSRSCoVKacvoeT3fyb9\noksIer00//Mp6v/2F7ytLTHfv7Akjalz8unqcLH2k4Mx3y9W1Fd3svqD/ej0Ks69bMqQPfnojb6G\nsABUWqoBKE0uRpZlalvsZKca0I7imxmBQAhpgSBOKAqPCu9+XFqSFBrEUNWdBToexukzkVQqbBuH\ndsphb8w7rYTS8Zk01lr4/P19xx1zPlJxu3x8+m4FCqXEkmUTUCpj+/Nq27yJQ/f9HOsXq9EWFlH0\ny1+R8/0fDnlf8EhR6HSkX3ARxb/9X4zTpuPcs5vqX/2SjvffRQ4EYrr3/EWlpGYY2LW5YVROPezq\ncPL+67sAOOeSKcPehUQOBrFtXI/CaMQwcVKvx1VaDiEhUZxcSLvVjcvjF/2jBaMeIaQFgjgh1azF\nqFP1+A6Lux+fVll7F9JKvR7D5CmhIQpNjUMS54mQpJAIzcwxsXd7E9vW1w53SP1ClmU+f38fToeX\neaeVkB5DcRCw2Wh49GEaH3mIoMNBxqWXU/SL+9CNKY7ZnrFEnZZO3m0/Iue6G1FotLS9/CI1v/9t\nTD+PKrWSM5ZNRKGQ+GRlBR63L2Z7RRu3y8fKV3bgcftZtLScvKKU4Q4J174KAhYL5tlzeh3EEwgG\nqLbWkmvMRq/Si9HggrhBCGmBIE6QJInCLBMtnS5cHj/pulTMalOPL7E3wvaOkZKVVquVLL1sKkaT\nhrWfVFKxs2m4Q+qTA3taOLi3lZyCJKbHcHqhc18F1f9zH/ZNG9GVjWXMr/6HtPOWjYgpgoNBkiSS\nTppP8W9/j3n+yXiqD1H9219jXfNlzPbMzDEza8EYHDYPX350IGb7RJNAIMj7r+/C0uFixkmFTJh2\nnNaWw4Ct2xpmmjOv12Pq7Y14gz5KjvBHgxDSgtGPENICQRxR1O2Trm91IEkSJclj6PR00eWx9HqO\ncfoMUCqxbxoZQhrAZNZy7uVTUakUvPbcZtqa7cMdUq/YbR4+f38/KrWCJedPjFp/4iORg0Ha3/4v\ndX/5I36LhYxLL6fw3p+jyc2L+l7DidJsJvfaG8i9/iYkhYKmp5+g8anHjzu+PBrMOrmIzBwTFTub\nqdrXFpM9ooUsy6z+YD8NNV2UjMtg/uLS4Q4JCH027Zs3ojCZMJSP7/W4SmvYHy2EtCC+EEJaIIgj\nCnt80t0Fh/3wSSsNRoyTp+CprcXbPHKyv5k5Zs64YCI+b4B3X92B0x7jvscRIMsyn67ci9fjZ8GS\nsSSnRt+r6rd0Uf/3/6P9jddQpaRS+OOfhbLQwzh2O9aY551E0X2/QVtcgm3tGqp/+yvcNdVR30ep\nVLBk2USUSonP3qvA5fRGfY9osX1DXaiQNds07B06jsR98AABiwXTjFknfDJSZTlWSBt1KlKHYQKj\nQBBN4veXWCBIQMJCuq7VAUBxcreQtp5YhJhmzwFGRveOIykdn8np507AbvXw7ms78ftiW4Q2UHZv\nbaC2qpPC0jQmzYj+Y3bXwQNU/8+vcO7ZjXH6DMb86n/QjxsX9X1GIprMLIp++gtSz1mKr7mZ2j/8\nDuv6dVHfJy3DyLyFpbicvhFb4HpofxtrVh3EaNJw7uVTUWtGTpcLW/eTLPOcOSc8rtJSjUltJFOf\ngdvrp7XTRWGWacTcEAgEkSKEtEAQR+SmG1BIEvWtocemY5IKkZBOmJEGMM2YBUrliPFJH8mpZ4yl\nfHI2LQ02Pnm3YsQIHUunkzWrDqLVqVh87vioCwLr2i+p+8sfCVitZFzxDfJuvQOlKbEeg0sqFZlX\nfJO8W+9AUippevwx2l57BTkY3daI0+YWkFuQTGVFG/t3x74F30Boa7bz4X93o1IpOPfyqZhGUAZX\nDgaxb9qEwmDAMKH3bh1dHgsd7k5KkouQJIm6VgcyUCBsHYI4QAhpgSCOUKuUZKfpQxcqWUar1JBv\nyqXWVoc/6O/1PGV32ypPTTXelpElJCRJYvG548nJT+LA7hY2fRn9R/wDJRiUWfXOXvy+IKedPS6q\n4kYOBml9+UWannoCSa0m/0d3k3bOuQmduTPNmEnhz/8f6swsOla+TcM/HiTgckVtfYUi1C1GpVaw\n+oP9OGwjw0bksHt499Ud+H1Bzrhg4oibxOiuqsTf2YFpxswT2jp6+kcnFQPCHy2IL4SQFgjijPwM\nIy6Pn85uMVCcXIQv6KfefuJ2YoeHs4y8rLRSpeCcS6dgTtax4YtDHNgzvGJ/2/pamuqslE3IZOzE\nrKitG3C5aHj4ATrffxd1dg5Fv7gP4+QpUVt/NKPNy6foF/dhmDgJx7at1P7ht1Ed4JKUomfBkrF4\nPf4R8eTD7wvw3qs7sVs9nLQo1F99pBG2gplmzz3hcWF/dLhjR123kC4So8EFcYAQ0gJBnFGQGcry\n1LeFfNI9BYcn6CcNI9veAWAwajj38imoNUpWvbOX5gbrsMTR3mJn/eoqDEYNC88pj1qm2N/VSe2f\nfo9j+zYMk6dQ9PP/hyZnZLQ3GykoTSbyf3Q3KWechbehgdo//A539aGorT9pRi6FJanUVnawZ9vw\n9VWX5dATj5ZGG+OnZDNzftGwxdIbsixj27QBhU6HYdLkEx5bZalGISkYk1QAQF1raDR4XoZhKEIV\nCGKKENICQZyRn2kEQhcrOJwFCmeFekNpMmGYMBFP9SF8ra2xDTJC0jNNnHXRJIKBYHe2LjZt0Xoj\nEAiy6u29BAMyi88dj06vjsq63qZGav7wO7x1tSQvOp382+9EaTRGZe14Q1IqyfrWd8j69lUEbDZq\n//xHHLt2RmdtSWLxeRPQaFWsWXUQa1f07CMDYf3qKg7ubSW3IJlFS6Pvv48GnupD+NvbMU6fiULd\n+/fAF/BRY6unwJSHRqlBlmUa2hxkpxpQq0ZO0aRAEClCSAsEcUZ+OCPd3bkjS5+BQaXvczALgLn7\nEa1tBNo7wowpS+fkJWU4HV5WvrwDr6d373e02bymmrYWOxOm5TBmbHpU1nRVHqTmj/+Lv72d9Isv\nJeuq7yIphcDoi5QlZ5J7480Q8FP/4N+xrl0TlXVNZi2nnTUWnzfAqnf2DrnFY/e2BjavqSEpRcc5\nl05GqRqZl+nwk6u+unXU2OoJyIGetndddi8Ot5/8DHGjKIgPRuY3VCAQRExWih61StEjpCVJoji5\niDZ3BzbviQebmGbOAoVixLXB+zrT5hQweWYe7a0OPnhjF4FAdLs4HI+2Zhub19ZgNGtZsGRsVNa0\nb99K3f/9iaDTSfb3fkD6sgtHZPZxpGKePZf8u36MQqOh6anH6Xh3ZVSE77jJ2ZSUZ9BYa2H7hroo\nRNo/aqs6+Py9fej0Ks6/chp6g2bI9h4Isixj37QRSavFMHnqCY+t7raUFXdbzOrbQr9B4SdnAsFo\nRwhpgSDOUCgk8tKNNLQ7CAZDoqI0KZQNOtSHT1ppNqMvH4+7qhJfZ2fMY40USZI49ayxjClLo7aq\nk9Uf7I9p5rDH0hEMWTq0usGP5LZ+tZaGhx8EIO+W20k+bdGg10xEDOXjKfzpL1ClptL26ku0v/7q\noD8LkiSxaGk5OoOarz6rpLPdEaVoe6et2c77r+9CoZBYetlUUtJGrn/YU1uDr7UF07TpKDQnFvvV\nttCNyJikQgAaum/ww0/OBILRjhDSAkEckp9pxOcP0tLt8QwPZqnswycN3VlpwLF1c+wCjAIKhYKz\nLppERraJPdsa2bKub+tKpGxeU017q4OJ03MpKk0b9HqWLz6n6cnHUWi1FNz1Y0zTZ0QhysRFm19A\n4U9/iTorm46Vb9P64n8GLab1Bg2LziknEJD5ZGVFz01pLLDbPKx8ZTs+b4AlyyaSW5Acs72iQX+7\ndQAcstZiUOnJ1IesUHXdRdB5wtohiBOEkBYI4pCezh3dBYfF3YNZ+uOTDgtp++aRLaQB1BoV510+\nFVOSlq8+q2L/7uao7xG2dJiStCxYUjbo9bpWfUTzP59GYTRScM+96McmxqTCWKNOT6fwJz9Dk5dH\n10cf0rLiX4Me3FI6PtTesLneyo6NsbF4eD1+Vr68HYfNy/zFpVFtpxgrbJs2IGk0GKdOO+FxDp+T\nNlc7ReaCHstSfasDpUIiO1U/FKEKBDFHCGmBIA4J+w/DPmm9Sk+OMYtDtlqC8onFhTotHW1xCc59\newk4Yv9Ie7AYzVrOu3wqGm2oLV5DbVfU1v66pUOjHZylo+P9d2n5z7Mok5Io/PFP0Y0pjk6gAgBU\nKSkU/PinaAuLsHz+KU3PPIkcGNxY+VPPGhuyeHxeRVeHM0qRhggEgnzwxi7aWxxMmpnHjJMKo7p+\nLPA2NuBrasIweQoK7YkHEdVYj7Z1BGWZhnYHuekGVEohPwTxgfgkCwRxSLgiPtwCD0L9pL0BLw32\npj7PN82cBYEAju3bYhZjNEnPMnHOJZNBhvde3Ulne3QEz6YjLB2FJYOzdLS//V/aXn4RVWoqhT/5\nGdr8gqjEKDgalTmJgnvuRVdaim3tGhqfWD4oMa03aFh4djkBf5BP3tkbNYuHLMus/mA/tVWdFJWl\ncdpZY0dFoal9S+hJlXnm7D6PrbbVAvT0j+6wuPF4A8LWIYgrhJAWCOKQVLMWg1bVM5QFDvukq6z9\n90nbt2yKTYAxoKA4jUVLy/G4Q4/KXU7voNZrbbKxJUqWjo6Vb9P+xmuo0tMp+MnPxKCVGKM0Gim4\n68fox5Vj37iepqefGJTNo2xCJmUTMmmKosVjy7oa9mxrJCPbxNkXTUKhGB2XY/vWzaBQYJw2vc9j\nq7+WkQ77o0WhoSCeGB3fXIFAMCAkSSIvw0hzhwt/d2u4cPup8MXtRGhy81Bn5+DYuYOgd3CCdCiZ\nMC2X2QvGYO1y8+4rO/H7IstEBgKHs4+DtXR0fvAeba+9giotjcIf/xRN5sj3wMYDCp2e/DvuRFc2\nFttX62h+5qlBienTzh4XNYvH/t3NfPVZVY8tSa0ZfBeYocDf1Ym7shJ9+XiUpr7FcLW1lmRNEina\nUPFkQ7eQLhAZaUEcIYS0QBCn5GUYCMoyzZ2hzh05hiw0CjXV1to+z5UkCdPMWcheL87du2IdalSZ\ne1ox5ZOzaW6w8tFbeyLq3rDpy+hYOjpXfUTrSy+gTEmh4J6fos7IjHgtwcBR6PTk/+hudCWlWNd+\nSfO//xmxmA5ZPMaFLB4rI7d4NNR2seqdvWi0Ss6/YipG84l9xiMJ+9YtAJhmzOrz2C6PBYvX2pON\nhsPFz3mih7QgjhBCWiCIU/LSQxerxu4skFKhpMCcT6OjGU+g7yyzaVbIA2nfPHrsHdA95vnc8eQV\npVC1r421qw4O6PzWJhub11YP2tLR9dkntP7nWZTJyRTecy+aLJGJHg6Uej35d96Ndkwx1i8+p+W5\nFRG3xiubkBWyeNRZ2bmpfsDnd7Q6ePeVnSDDOZdMJj1rdFkcwv5o08yZfR4bvmEP+6MhVPysUSnI\nTBYdOwTxgxDSAkGcktv9+LThCJ/0mKQCZGTqbA19nq8rLkGZnIJ9+9ZBdz4YapQqBUsvnUxKuoFt\nG+rYtr7vLDwctnTIMoOydFi+XE3Lin+hNJspuPsnwhM9zCgNRgruvAdtYSGWzz6h9cXnIxbTp541\nDp0+NKilo63/XW3sVjdvv7Qdr8fPonPHU1A8+H7kQ0nA6cS5dw/aojGo0zP6PL7HH23u7tgRlGns\ncJKbbkShGPlFlQJBfxFCWiCIU8IZ6YYjprKFL2rhavoTISkUmGbOImi349q/LzZBxhCtTs2yK6dh\nMGlYs+pgv3pMhy0dk2ZEbumwb9l8uE/03T9Bm5cf0TqC6KI0mSi46yfdfaY/oOPt/0a0jsGo4bSz\nx+H3B/nvi1v7Jcg9bh9vv7Qdh83D/MWlTJiaE9Hew4lj53YIBHoKkfsinJEu6s5It1lc+PxB8jJG\n7sRGgSAShJAWCOKUtCQtWo3yqIx0+KLWH580HNm9Y+QPZzke5mQdy66cFuox/fZe6g519HrskZaO\nk0+PzNLhrNhL4/JHkDQa8u+4C23ByO8LnEgozWby7/wxqowM2t98nc6PP4xonbETsygdn0lNZQc7\n+rB4+H0B3n1lJ51tTqbOzh8VvaKPhyNs6+iHP1qWZaptdWTo0zGqQ8K5obslZW668EcL4gshpAWC\nOEWSJHLTDDR1uAh0F1hl6tPRq3Q9gxL6wjB+Agq9HvuWzYMeuTxcpGeZWHrpFJDgvdd20dpkO+aY\nQCDIqm5Lx+nnRWbpcNdU0/DQ/ciyTN7Nt6EvHfwUREH0UaemUnDnj1EmJdH6/HNY134Z0TqnnT0O\nvUHNV59WYuk8fhePYFDmo7f20FhnoWxCJqecOTp6RX+doM+HY8d21BmZaAr67n/e6mrD5XdRfESh\nYWP3kzEhpAXxhhDSAkEck5dhxB8I0tblBkAhKSgyF9DiasPpc/V5vqRSYZw2A39HO57qvvtPj1Ty\nx6Ry5gUT8XkDvPPydqxdR//bN31ZTUe3pSMS76q3uYn6v/+VoMdD7rU3YJw8JVqhC2KAJjubgjt/\njMJgoOmZpyJ64mIwajjv0qn4/UE+WVlxzI2mLMus/nA/VfvayCtK4YxlE0eliAZwVewl6HZjnDmr\nX/+Gw/7ow6K7sS10syGsHYJ4QwhpgSCOyTtuwWEoS1Rj619W2jSr296xdXTaO8KUTcji1LPG4nL4\nePvF7Tgdoc4ljbVdg7J0+Ls6qfv7/xGwWcn69tWY586LduiCGKAtLCT/jruQVCoalz+Cc1/FgNeY\nNCOPkvIMGmst7Nx8tMVj85pqdm9pID3LyNJLp6BUjd7L7eFuHf30R9vC/uijM9JKhURmiujYIYgv\nRu83WyAQ9MnxCg6LurNE/bV3GCdPAaVy1IwLPxFTZxcw6+QiLJ0uVr68g20bavnvC9sitnQE7Hbq\n/v5X/G1tpF90CSmnL4lR5IJYoC8bS94ttyPLMg0PP4inoe9uNkciSRILzylHq1Ox7tNKLN0923du\nrmf96kOYk7Scf+U0tLrRMXDleMjBIPatW1CazOjLxvbrnGprHRISheZQoa0syzS0O8hK1aNSCtkh\niC/EJ1ogiGNyux+jfr0FHvSvcweEhloYxk/AU1ONr7Mz+kEOMfMWljBhag6tTTbWfHwQjUbFsm9M\nG7ClI+jxUP/Q/Xjr60hZciZpyy6MUcSCWGKcPIWc711D0Omg/v6/4u8a2Ge8p4uHL8inK/fy1WeV\nrP5gPzq9mvO/MR2jafQMXDke7kNVBCxdGKfPQFIq+zw+EAxQa6sn15iNVqkBoMvuxeUJ9NzYCwTx\nhBDSAkEck5kcygCFK+YBUrUpmNWmfo0KD2OcNgMAx47Rn5WWJIlF55ZTPiWborI0rvjB7AG3upOD\nQRqXP4L74AHMJ80n85vfHrX+VwEkLTiF9Isvxd/RTv0DfyPg6rt+4EjGTsyipDyDhloLm9fWkJyq\n55KrZ5KaPvr9wD22jhl9D2EBaHK24Av6jppo2FNoKPzRgjhECGmBII5RKCRy0w00tjsIdhdDSVLo\nkWunpwu7r38DJYzTpgPEhb0DQKFQcMayiZx/xTRMSboBnSvLMi3PP4dj+zYMkyaT84NrkRTip3S0\nk3b+BSQvWoyntpbGRx5G9vv7fa4kSSw8exymJC15hclccvVMUtLiQzQ6tm9DUqsxTJrcr+MPWWsA\nviakRes7Qfwifv0FgjgnN92A1xek3eLueS3sXezPhEMATVYWmtw8nLt3EfT2PV48nun68H0sn3yM\nJr+A3BtvQVKNXv+r4DCSJJH17asxTp+Bc88umv/1zIBaPhpMWr5z40lc9J2Z6A2aGEY6dPja2/HW\n16EfPxGFtn8WlZ6OHUeMBg/XaAhrhyAeEUJaIIhzwlmgpo7D9o6wkK61nXiYxJEYp01H9npxVeyN\nboCjCNumDbS+/CLKlBTy77gTpSE+so6CEJJSSe71N6ErLcW69kvaX391QOcr4uzJRPgJlGn69H6f\nU2OtRaVQkW/M7XmtsbtGIydOsvQCwZHE17deIBAcQ/jiNWghPT3kk7Zv2xrF6EYProMHaHrycSSN\nlvzb70Sdlj7cIQligEKrJe+2H6HOyqZj5dt0fbpquEMaNsI1EWFrV1/4gn7qHU3km3JRKg4XJja2\nO0lP0qHV9F2sKBCMNoSQFgjinOMJ6XRdKnqVfkBCWl82FoXBgGP71lE75TBSvC0tNDz0AHIgQN6N\nN6MrGjPcIQliiMqcRP6P7kZpNtPy3AocO7YPd0hDTtDrxbl3D5q8fNTpGf06p9HRRFAO9tyoAzjd\nPiwOryg0FMQtwtwnEMQ52WmhAQhNR3TuCBcc7us8gMvvRq/qu+BOUioxTpmGbf06vHV1aAsL+zwn\nHgjY7aFODnYbWVd/H+PUacMdUtSRZRmr147dZ8fhc2L3OXD4nHgCnmOO1So1GNVGjCoDBrUBs8ZI\nksaMQoqvvIwmK4u8235E3V/+SOPyRyj82S/R5vc9HjtecO7dg+z19jsbDYdrLgpNeT2vhTsGCX+0\nIF4RQlogiHN0GhWpZu1RGWmAQnMe+zoPUG9vZGxKSb/WMk6fjm39OuzbtyaEkA76vDT840F8zU2k\nLj2PlEWLhzukQSHLMu2uTg5Zq2l0tNDibKXZ2UqLsxVv0BfxumqFmkx9OlmGTLIMGeQasylOKiJT\nnz6q2wLqS8vIueY6Gpc/Qv2Df6foF79ClZQ03GENCQO1dQDUhoX0ERnp8A288EcL4hUhpAWCBCAn\nzcCe6k483kCPT7HIdNgn3W8hPXkqSBKO7dtIP/+CmMU7EpBlmeZ/PoNr/z7Mc+eRcenlwx3SgJFl\nmTp7AxWdB6iy1FBtr6HTZTnqGLVCTZYhg0x9BkkaE0a1AaPaiEltRKvUHCOE3X4PDp8Th8+Bw+/C\n6rXR5myjxdVGg6PpqGNNaiPFSUWUJI9hfGoZY5IKR13m2jx3Ht6mRtrffJ2GfzxIwT0/QaGOj64c\nvSHLMo7t21AYDP2eZghQZ69HISnIM+b0vNbcKYS0IL4RQlogSADCQrq500lRthmIrOBQaTKhHzsO\n14H9+G1WVOb4zc51vvsOtq/WoistI/ua0dMr2hPwsrdjP7va97CzbS8Wr7Xnbym6JGZkTqEkeQz5\nplyyDZmkaJOjIm5D9hAbLc5W6uyNVFmqqbLWsLN9Dzvb9/AWIWE9KX08k9MnMCmtHIN6dIirtGUX\n4m1sxLZ+Hc3/fJqca28Y1Zn2vvA2NOBvb8c8d16/phkCBOUgdfZGcgxZqJXqntebu5+EZQshLYhT\nhJAWCBKAIwsOw0I605CBVqkZkJCG0JRD1/59OHfsIGnBKVGPdSRg37KJttdeQZWWRt4tt4/4DKQ/\n6Gd3ewXrmzazo30P/mBomIhRbWBu9iwmpZdTllzM+MIi2trsMYlBkiSStUkka5MYl1rG6YWnAmDx\nWKm0VLO7fS+72veyvmkz65s2o5AUTEobz7ycmUzNmIzmCPE10pAkiewfXIOvvQ3bV+vQ5OSSfsFF\nwx1WzAi3vRuIraPV2YY34KXAnHfU600dLrRqJSmmkf0dEggiRQhpgSABCGeDjiw4VEgKCkx5VFqq\n8Qa8aJT9u9AZp0+n7dWXsG/fGpdC2lNbQ+OTjyNpNOTdegeq5OThDqlXqq21rGvcxKaWrTh83Y/Q\nDVnMyJzC5IyJFH/NSjEcWdRkbRIzs6YyM2tqj9VkZ9tetrXu6MlW65RaZmRNZX7ObMamlI7IbK9C\nrSHv5tuo+f3/0P7m62iyc8g8/8zhDismOHZsA0nCMGVqv8+ptR9baBiUZVo6neSkG0bk/1OBIBoI\nIS0QJAA56ce2wAMoMOdz0HKIBkcTxUlF/VpLk5uHOiMT566dyH5/XE3281ss1D/0ALLHQ+5Nc8gZ\nbQAAIABJREFUt47INnf+oJ8tLTv4tO7LnnHMZrWJ0wtPZV7OLApN+SNWtIS7xRSa8zm35AwaHc2s\nb9rMhqYtrGvcyLrGjeQZc1hccApzc2b2++ZuqFAlJ5N/+53U/uF3ND3zJJljiyAtt+8TRxEBhwPX\ngf3oSkoHZN0Kd+woOKLQsMvmwesPCn+0IK6JnyugQCDolYwkHSql4hghnW8KFQXV2xv7LaQlScI4\nbRpdqz7GVXkQQ/n4qMc7HAR9PhoeeQh/RzvpF1+Kefac4Q7pKGxeO1/Ur2N1/VosXhsSElMzJnJq\n3nwmppUfNQBjtJBrzOaisnO5oPQcDnZVsbp+HVtad/Cfild54+BKFuTNY3HBKaTqUoY71B60+QXk\nXH8TDQ/dz57f/4mCn9+HOi1tuMOKGs5dOyEYHJCtAw7XWhQckZEO/95kpQohLYhfhJAWCBIAhUIi\nO1VPU4cTWZZ7Mpbhi169vXFA6xkmTaFr1cc4d+2MCyEtyzItK/6J++ABzPPmkzaCOpJYvTY+qvmM\n1XVr8QZ96JQ6lhSexsL8BWQa4mO6okJSMC61jHGpZXR5LKyuX8cX9ev4qOYzPq39gvl5czm76HTS\n9anDHSoApmnTybzym7S++DwNjzxE4U9+hkIzsrLnkWKPoO1d2LKTrkvDoNb3vB4uNMxJ0/d2qkAw\n6hFCWiBIEHLSDNS3ObA4vKSYtADkGnOQkKizDVBIT5gISiWOXTvJuOSyWIQ7pHS+/y7WNV+iLS4h\n+/vXjAhrhMVjDQno+nX4gj5StMlcWLSIk3PnolNphzu8mJGiTeaC0nNYOmYJG5q38kH1Kr6oX8ea\nhvXMz5nN2WOWjIgbiJQzz0ZqbaJl1Sc0//sZcn54/Yj43AwGORjEuWMHypQUtIX9e0IFYPFasfsc\nx7TRbOpwAaJjhyC+EUJaIEgQjiw4DAtpjVJNliGTBkfjUZnqvlDodOjLxuLav4+AzYbSbI5Z3LHG\nvn0rba++jCo1lfxb7xj2zKLL7+KD6k/5pHY1vqCfVG0KZ485nZPz5qJWJM5PtlqpZkHeXE7KmcWm\nlm28d2gVaxo3sK5pE6fmncR5JWdh1piGLT5Jkii76XqsVdXY1q1FW1hE2jnnDls80cB9qIqA3UbS\naQsHdFPQ4482Hd2xI9xDOltYOwRxTOL8KgsECc6RLfAmjDn8iDzflEN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KUzufwxvw9n1i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zrA8ezCRj1vhFdnHu/+CGabhaWHV3CuNKfBxyyoo4d0pclCpdGCu4uUdYi2SxJpIQQujlcS6fIb\nzEgXVdq/4LDEWMq7hz6kyFjMveFjGRAYa/exbniuMiMfbErlrS+SKTYYGT84lPnT+hIZ3DQdFYQA\n6NHJh9dm9Od3scHkFpSxeE0iq7Yeo7yWL6yKnNO3G49E3U+5uZwlh5aTX96wjZQuVxSiQlXdBvNq\nJdKxQ4imX2xoNpv53//9X86dO4fJZOLJJ58kPDycF154AbVaTUREBPPnz2/qYQnRpjk71m9GutjO\nGelycwVLDn1IbnkeIzsOY3jIHfYN9AZsNhsH0nNZ8/1xSspMhAW68djorgT56xvlfELciKPOgYdH\nRNCvqz8ffZvOzsRzHD6Zx6N3R9Gzc+NsNd4/sA+lJgPxJ79myeEP+WOfp+xuK1lQUYinowcOaofr\nHisqk0RaiCafkd64cSNeXl6sWbOGDz/8kNdee41Fixbxxz/+kdWrV2O1Wtm2bVtTD0uINs1R54BK\nVXsiXTUbZc+MtMli4v3klWSXnmdQYD/GdxrVoLHWprC0kn/HpfDeV6lUGi08MCyceVNiJYkWLULn\nDh7Mn9aXcYNCKSo18tYXh1m2KY3SclOjnG94yB0MD7mDi2WXeO/wRxgtNS8krovFaqHIWCw9pIWo\nQ5PPSI8ePZpRo658kFosFhwcHEhLSyM29srPvHfccQf79u1jxIgRTT00IdostUqFs05T60/O7o72\nzUhbbVY+PvoZJwpPEePXnYej7m2UrYz3p11k9dZjGCrMRIV4MnV0FAFeLoqfR4iG0GrUTLqjE7FR\n/qz45ig/pV7gaGYBj93TlR6dlJ+dntj5HoorSzhwMYnlR9Yws8ejNc4s16bIWIzVZq11oWHJrz2k\nZc2BaMuafEba2dkZFxcXSktLeeaZZ3juueew2WzVj7u6ulJS0nhbEQshaubipKm9a0fVYsObmJG2\n2WzEn/iapNxkOnuEMa3bw6hVyt5ySstN/GfDEd7fmIrJYuWRkZH8+eHbJIkWLVqwv56XHu3DfUM7\nUVJm4l+fH+aTLelUGJWtnVar1DzS9X66ekdyJP8onx6L/6/P2xupan3nXctmLEUyIy1E82zIkpOT\nw9NPP80jjzzCmDFj+Mc//lH9mMFgwN39+kUNNfHzk/6vSpFYKqs1xtPNVceF/LIax26z6dGqNZRZ\nDfV+bRvTv2fn2R8Icg9k3l1z0Ovs3/q7pnMePHqRdz5L4nJJJV1DvXn24dto7ytlHDfSGq/Nlqwh\n8Zw2vgdDY0N4c20iuw6dJz27kGcf6k20wrPTL9w5m7/u/Bc/5Rwg0MuHh3pMqNfzjpVVABDiG1Dj\n6zT/mpN37OCp2HUl16eyJJ6Nr8kT6by8PGbMmMErr7zCgAFXtjLt2rUrBw4coG/fvuzZs6f6/2/k\n0iWZuVaCn5+bxFJBrTWeOgc15ZVmLl4sRq2+vvzCXedGvqGwXq/tlwuJrE6Lx9PRgye7P0Z5kZVy\n7IvJtfEsrzTz2Y6T7Dl8Ho2Dit/f2ZlR/UJQ22ytMu5NqbVemy2VEvHUa9W8OLk3G344xZb9Wby4\n5Afu7h/CpCFhaDX1L8O4kZnR03gjYQnxaVvQmJ0YGjTohs/JzL0AgNbkXOPrvFRgAMBcaVLkupLr\nU1kST+XU9YWkyRPp999/n+LiYpYuXcqSJUtQqVTMmzePhQsXYjKZ6Ny5c3UNtRCi6VR17ig3mnF1\nur4vrLvOncySbKw2a50lGukFJ1h99AucNU481Wt6rfWV9jhxtpBlm9LIK6ogyE/PE+O6ESyLCUUr\np9Wouf/OcGLCfVn+9VG27M8i5VQ+M8dFK3Z9u+n0PB3zOP88uIQvjn+Fm05Pb/+edT6n4AabsRjK\nr5Si1HS/EKKtaPJEet68ecybN++6/1+1alVTD0UIcZWqTVnKK2pOpD0c3bAWWzGYynDT1fzhnl1y\nnmUpn6ACZvaYSgd9oCJjs1itbPrxDJv2nQFgzMCOTLg9DI2DtMIXt46IIE8WTO/LFzsz2Jl0jtc+\nPsD9d4YzIjZIkUW6vs4+PBUznbcS3+Pj1E9x07oS4dW51r+/XMdmLACGChMaBxU6rbwPRdslV78Q\nAqhPL+mqFng1d+7ILy9g6eHlVFqMPNrtISLr+IC+GRfyDSxek8jGH8/g7ebI//yhN/cN7SxJtLgl\nOek0TLm7C3N/3xMnnYZPt5/grS+Sqxf2NVSIWxAze0zFBryX/HGdux8WVBTi5OCEs8a5xscN5SZc\nnbSN0olHiNZCPomEEMBVuxvW1kvasWqb8Otr7kpNBpYcXk6xsYT7IsbRJ6CXImP6KfUCz7y5i4xz\nxfTr6s9fp/eT3QlFmxAT7strM/oRHeZNyql85i/fT3JGviLHjvKO4NFuD1JhqWDJoeXV24Bf63Jl\nYa2z0QCGCjOuzlLWIdo2SaSFEMBVM9K1tMCrmpEuvmZG2mgx8t7hlVwsu8SIkKEMC769wWMprzSz\nbFMqyzalYbPZmDGmK7PGR+MitZiiDfHQO/LcA7146K5wyirNvPXFYdZuO47JbGnwsWMDYrgvfCxF\nxmKWHl5Bman8vx4vN5dTbq6otT7aarNhqDDh6tQszb+EaDHkHSCEAH6rka51d8MaZqQtVgsrUtdy\nujiT2IAYJnQe3eBxnDpfzHtfHSGvqIKwQDdemNYP7U30vhXiVqJWqRjZL4Sojl68vzGVbQfPkp5Z\nyOyJ0QT62N9SEuCukDsoqChk59kf+CDlY+bEPI5WfeU+cLmiCKi9h3RFpRmbTRYaCiEz0kII4LfS\njhvVSFftbmiz2fj8+AZS8tLo4hXOlK4PNGjDFZvNxtZfsli0OoH8ogrGDOzIi4/0kd7QQgAhAW68\nMq0vd8a05+ylUl5deZCfUi80+Lj3Rowlxq8HJwpPsSrtM6w2K0B1uYe3Y80z0qW//nLl6izzcaJt\nk3eAEAIAZ6f61UhfKs/HYrWwNXMXP5zfTwd9IE/0eBSN2v7bSWm5iRWbj3LoZB7urjpmjutGt1Bv\nu48nxK3IUevAo6Oi6BrqzUffHGXZpjTSMy/zh99F4qi1r+e0WqVmareHKD5UQkLuYbydvJgYfk/1\nroa1t767sj24zEiLtk4SaSEEcNWMdC010nqtKzq1lrT8Y/xl7wIqLJV4O3kxp9cMnDVOdp8341wR\n7311hPziSrp29GLmuG546B3tPp4Qt7q+Uf6EBOj5z4Yj7E3O4VROMU9N7G53qYfOQcusnlN5M2Ep\n32ftwsvJk8LKK6UdtSbSFb8m0rLYULRxUtohhABu3LVDrVIzJ+ZxhnQYiF7riofOjTm9ZuDh6G7X\n+Ww2G9/9ksXiNYkUFFcy4fYwnn8wRpJoIeohwMuFeVP6MKx3B85dMlwp9Thif6mHXuvKU71m4KbT\n88Xxr0jMTQbq6CH962YsellsKNo4eQcIIYAb95EGCPcMI9wzrMHnklIOIRpOq3FgysguRIV4XSn1\n+DqN9Cz7Sz18nb15qud0/pX0Hnnl+ahQ4aGr+YuyzEgLcYUk0kII4KotwutIpJUgpRxCKEvJUo8Q\n9yBmRE/m/ZSP8XL0xEFdc0IuNdJCXCGJtBACAK1GjVajrrVGuqFsNhvfH8jmi10ZWK02Jt4exthB\noajVsiuaEA1VVeqxbsdJdiae49WVB5k6qgsDotvd9LG6+3ZlbswTtSbRcGUzFpCuHULIO0AIUc3F\nUdMoM9LllWY++jadg+m5uLvqmDWuG12llEMIRV1b6vHBpjQyzhfz4F3haBxubklUhFfnOh+XGWkh\nrpBEWghRzdlRU137qJScfAPvxqeQk19GRJAHsyd2x1NKOYRoNH2j/An21/NufArbE86SeaGE2RO7\n4+Wm3PuuekZaEmnRxknXDiFENRcnZWekD6bn8urHB8nJL+N3scH8+eHbJIkWogm083bhpUf70K+r\nPyfPFfHXlQc4lnVZseOXVphQq1Q4O9rXv1qIW4Uk0kKIas6OGswWGyazpUHHsVitfL7zJEs3HMFm\nszFrfDQPj4i46Z+XhRD2c9JpmDU+moeGR1BaZuIfnx5i6y9Z2Gy2Bh/bUG7CxUmDSiVrHETbJqUd\nQohqV2/K4qG3b6apyGDk/a+OkJ5VSIC3C09P6k4HP9nmW4jmoFKpGNk3mNB2bizdcIR1O05yKqeY\naaOjcNLZnwIYKszS+k4IZEZaCHGV+vSSrsvJc0W8uvIA6VmF9I7045WpsZJEC9ECRAZ7Mn9aX8KD\nPPjlaC4LP0kgJ99g17FsNhuGcpNsxiIEkkgLIa7iYmcibbPZ2JF4lr+vSaSwtJL77+zMnEndqxNz\nIUTz83Jz5C8P38aIPkGczzPw2scHSTh26aaPU2myYLHaZEZaCCSRFkJcxdnp5jdlMZmtfPRtOqu3\nHsfZUcOfHoxh9ICOUjspRAukcVDzh99FMnNcN6w2G0u+TGHD3lNYb6Juump7cFeZkRZCaqSFEL+5\nuka6PgpLK1kSn0LG+WI6Brjx9L098PFwaswhCiEUMCC6HR389Pw7LpmNP54hO7eUx8d2q9evSNXb\ng0vrOyFkRloI8RuXm9gm/NT5Yl5deYCM88UM6BbAi4/0liRaiFYk2F/Py1NjiQrxJOlEHn9blUDu\n5bIbPq96MxYp7RBCEmkhxG/qu9jwx5QcFq9JpMhg5IFh4Twxrhs6rfSTFaK1cXPR8ccHYxjRJ4hz\nv9ZNp54pqPM5v23GIj9qCyGJtBCimssNaqQtViufbjvB8s1H0WnUPHd/L0b1D5F6aCFasaq66cdG\nR1FpsvDmZ3X3my6tkBlpIarI10khRDXnOmqkS8tN/GfDEY5mXibQx4W59/UkwNulqYcohGgkQ3q1\nJ9DXlSXxK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aois = pd.DataFrame(index=ephemout.index)\n", "\n", "for tilt in np.linspace(0, -90, 7):\n", " tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=tilt, axis_azimuth=180, max_angle=90,\n", " backtrack=True, gcr=2/7.)\n", " aois[tilt] = tracker_data['aoi']\n", " \n", "aois.plot()\n", "plt.ylim(0,100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Makes sense if the panels are facing North at solar noon, as expected with ``axis_tilt<0`` and ``axis_azimuth=180``." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Play with axis_azimuth." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0, 360)" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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sC+9YJy4gPj4em80GQEpKKu3t7YwfP4Ht27fh8/lob2+nrKyE0aNzu5TLzx/L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\nEREREQkaSmJFREREREQkaCiJFfGT6upqpkyZws9//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7upIiLnFfXNJ6bdiUVEJKDMmDGV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lm+oUMrGLgwtxa27OFikTC9mgyTSJ7N8HwJbty/H6XBzc1U50ODnJ3sJ0+Mm5XxBJR3ms5VPU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\nXJvFXORzeFmc38Ch7qOcDbTT1HGAPFcuDXkzU1hpLO/SpSguF8GmJtCS14K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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aois = pd.DataFrame(index=ephemout.index)\n", "tilts = pd.DataFrame(index=ephemout.index)\n", "azis = pd.DataFrame(index=ephemout.index)\n", "thetas = pd.DataFrame(index=ephemout.index)\n", "\n", "for azi in np.linspace(90, 270, 5):\n", " tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=0, axis_azimuth=azi, max_angle=90,\n", " backtrack=True, gcr=2/7.)\n", " aois[azi] = tracker_data['aoi']\n", " tilts[azi] = tracker_data['surface_tilt']\n", " azis[azi] = tracker_data['surface_azimuth']\n", " thetas[azi] = tracker_data['tracker_theta']\n", " \n", "fig, axes = plt.subplots(2, 2, figsize=(16,12), sharex=True)\n", "ax=axes[0,0]\n", "aois.plot(ax=ax)\n", "ax.set_ylim(0,90)\n", "ax.set_title('aoi')\n", "\n", "ax=axes[0,1]\n", "thetas.plot(ax=ax)\n", "ax.set_ylim(-90,90)\n", "ax.set_title('tracker theta')\n", "\n", "ax=axes[1,1]\n", "tilts.plot(ax=ax)\n", "ax.set_title('surface tilt')\n", "ax.set_ylim(0,90)\n", "\n", "ax=axes[1,0]\n", "azis.plot(ax=ax)\n", "ax.set_title('surface azimuth')\n", "ax.set_ylim(0,360)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since I screwed up the ``axis_azimuth`` calculation before, this is worth spending a minute on. This discussion assumes ``axis_tilt=0`` and no backtracking.\n", "\n", "Say that your ``axis_azimuth=90 or 270``. Your ``surface_azimuth`` has no choice but to point to North (0), or South (180). Near the equinox, the solar azimuth is very nearly 90 at sunrise and sunset, so the ``surface_tilt`` is going to be poorly defined until the sun is a bit above the horizon. At midday, the ``surface_azimuth`` should definitely point South (180), ``surface_tilt`` will very nearly equal the latitude, and AOI should be nearly 0.\n", "\n", "Next, let's study the ``axis_azimuth=135`` case. This corresponds to a tracker oriented from SSE-NNW. At sunrise, on the equinox, the tracker is going to point East of North by 45 degrees. Sometime before solar noon, the panels should lay flat, and then point West of South by 45 degrees, or East of North by 225." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test the southern hemispere." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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VkRYRqR/1niIiYep0+TvVkRYR8U/QE+nNmzczYcIEAL7++mvGjx/PHXfcwYwZ\nM+rOmTdvHjfddBO33XYbS5cuDXZIIiICeOuqdmhMRUTEH0HtPd944w2mTZtGTU0NALNnz2bSpEm8\n++67+Hw+Fi9eTH5+PnPmzOH999/njTfe4A9/+EPd+SIiEjw+1ZEWEamXoPaeqampvPrqq3W/5+Tk\nkJWVBUB2djarV69my5Yt9OvXD6vVisPhIC0tjV27dgUzLBERQVU7RETqK6iJ9IgRI7BYvumgDcOo\nux8TE4PL5aK8vByn01l3PDo6mrKysmCGJSIiqGqHiEh9WRvyxczmbzrr8vJyYmNjcTgcuFyuM45f\niJQU5/lPkguitgwstWdgqT0D59ttadtfO9CRkhxLikNt7A+9NwNL7RlYas/ga9BEukePHqxfv57+\n/fuzfPlyBg4cSK9evXjxxRdxu91UV1eTm5tLRkbGBV0vL08j14GQkuJUWwaQ2jOw1J6B8/22rKis\nBqC4sBJLpdr4Yum9GVhqz8BSewbOD30gadBE+tFHH+Xxxx+npqaG9PR0Ro0ahclkYsKECYwfPx7D\nMJg0aRJ2u70hwxIRCUt1VTvMmtohIuKPoCfSbdu25a9//SsAaWlpzJkz54xzxo0bx7hx44IdioiI\nfIsWG4qI1I+GIUREwpRPOxuKiNSLek8RkTDl9alqh4hIfTToHGmRcOb1eSmqLg51GE2Oz1VFYWV5\nqMNoFr7fllXeKkBTO0RE/KVEWqSB/L/1b7GvXJsNSeNiwqQtwkVE/KREWqSBVB1vg6fKRee2cbRK\nig51OE1GZKSNqqqaUIfRLJytLTs422Exa0RaRMQfSqRFGsh/XDWE373jYOeBGkbc1Ju+nZNDHVKT\noFqogaO2lKbi6xNl/H3ZPm4dlkHb5JhQhyNyTvo+T6SBtIiP4qGb+2CzmPnTgm3sP1Ya6pBERBqd\nwtIqXvrbZnJyC6mq9oQ6HJEfpERapAF1ahPLvTf0pMbj4//9bTN5xZWhDklEpNGorPbw0t+2UOxy\nM25oZ9LbxoU6JJEfpERapIFdkpHC+OFdKK2o4cV5m3FVav6viIjXZ/D6whwO57kYemlbrhnQPtQh\niZyXEmmRELi6XztGXdaB44UVvDZ/Kx6vL9QhiYiE1JwPt7NlXwGZHRMZPzwDk8kU6pBEzkuJtEiI\n3DwknUu7pLDz62Lmfb431OGIiITM2u3H+cfne2mZEMW9N/TEYlZ6Ik2D3qkiIWI2mZh4XXfaJMew\neMNhVm3CCw8ZAAAgAElEQVQ9FuqQREQa3IHjpfzlw51ER1r51c29iYm0hTokkQumRFokhKIirDx4\nUy+iI6y8/e9d5B5VJQ8RCR8l5W5e/sdWPB4fv/lJP1onqdSdNC1KpEVCrGVCNPfe0BOvz8er87dS\n4qoOdUgiIkHn8db2eUVl1dx4VScG9GgV6pBELpoSaZFGoFenJG6+Kp2ismpenb9Niw9FpNl7/7O9\n7D1cwoDuLbh2YGqowxHxixJpkUZi1GUdGNC9BXuPlDBvSXAXH+5Z9iWbF6yg2lUR1NcRETmbL7af\n4LNNh2mbHMNdo7urQoc0WdoiXKSRMJlM/Gx0Nw6ddLF442Ey2sfTv1uLgL+O1+Pl81X5eM02vshZ\nRbuYSrr370jqwJ6YtVJeJCy5jx+jZNVKyrdsJnnsj3Fc0i9or3U0v5y3PtpJhN3CL3+cSYTdErTX\nEgk2JdIijUik3covf9yLp99ez18+3EH7Fg5aJUYH9DWKDh7Da7YR7SvHZ5g4WBnLweUFRH/+EZ1a\nW8gc3oeEDq0D+poi0vh4KyooW7+O0tUrqdr3zbdghR9+ELREutrt5bV/bqO6xst9N/TU4kJp8pRI\nizQybZNj+OmobvzPv7bz2vxtTLuzH3Zb4EZs8vfXltnr1MrCoJ+OYP+qrWzfeJCjlTFsO2ll29yd\nJJvX0aV7Et2v7oc9Jipgry0ioWX4fFTs2E7pqpW4vtyIUVMDJhPRmb2Iu2IwxcuXUrlzB+4Tx7G3\nDOziP8MwePvjnRzNL2d4v3YM6N4yoNcXCQUl0iKN0OU9W7HnUDFLvzrK3E93c9e13QN27cKjxYCN\nxFZxmC0W0rP7kp7dl8qiUrYv3sSevWXkG3Hkb/ewbtsK2juq6T6wE+2zumvqh0gT5T5xnNJVKyld\nsxpPUSEAtpatiBs0GOflg7AlJABgeDxU7txB2RdrSfrR2IDGsOyro6zNOUF6m1huGdY5oNcWCRUl\n0iKN1O3DM9h/rIwVW46R0S6ewb0DM92iuKgSsJGU9t3RoKiEWPqNG0I/4OSug+Qsy2F/non9FU72\nL8kjZvF+0tvayRzel7i2gZ+7LSKB5auqpGz9OkpWraRq7x4AzFFRxGUPIXbQYCI7pZ+xyM9x6aWY\n3rVT+sUaEq+/IWCLAA+ddPG/i/fgiLLxi7GZWC36UC7NgxJpkUbKZrXwix9nMuMv63n30110bhcX\nkPnSJRVgwkdyertzntOiayotuqaS7fGyb/mX7PzyCMfcDrYcs7DlnW20sJTRtWcKXYf1wxYVUe+Y\nRCQwDMOgau9eSlYup2zDOozq6tqpGz16EjvoShyXXIrZbj/n882RUTj6XkLZui+oPrCfyI6d6h1T\ndY2X1xfm4PH6mHhdJomxkfW+pkhjoURapBFrER/Fz0Z344//3MbrC3OYOqFfvUZyfD4fLiOSaCqw\nRpz7j+lpFquFLsOy6DIsi4qCEnI+3cie/S5O+uI4udXN2s1L6RDrpscVXWjTN0NTP0RCxFNSTOnq\n1ZSsWk7N8eMAWJOTiRt1LbFXDMaWlHTB13Jedjll676gdO2agCTS85bsrZsX3adzcr2vJ9KYKJEW\naeT6d2vBll6tWLX1OAtW7uemq9L9vpbrWAEes50Ua+VFPzc6KY7+tw2jP3B82z62rdjJwUIL+1xO\n9n1yDOe/d9O5QxS9RvYjpkWC3zGKyIUxvF7Kt26hZOVyyrdsBp8Pk9WK87KBxA3OJqprN0x+fLiN\n6ZmJOSYG16YNpNw2vl7TO77cncfnXx6hXUoM44b633eJNFZKpEWagPHDu7D7UDEfrjlIZsdEunbw\nL1HN23cEgLhYW73iaZWZTqvMdDzVbvYs+4pdW45xvMbJl4fNfPXnTbSxu+ie1YH0wb0xW1QjViSQ\n3MePU7JyOaVrVuEtKQEgokMqcYOvxHnZ5Vhi6ldSzmS1Et29B64N66k5eRJ7S/+qaxSVVfPmhzuw\nWc3c86Oe2KzqC6T5USIt0gRERVi55/qezH53E/+zaDsz7h5ATOTFJ8MFRwoAC4ktnAGJyxphp/vI\nAXQfCWUnC9j28Sb2HKrmSE0cR9aUsGrlx6S3NtNreF/iOwS2lJZIOPFVV1O2YT2lK5dTuWc3AObo\naOKHXU3s4GwiOwR2i+3oLl1xbVhP5e6dfiXSPsPgjUXbKa/ycMfILrRLcQQ0PpHGQom0SBOR3jaO\nHw1O458r9vPOv3dx3w09L/or16KCCsBJUmrgq244WyRx+YQRXObzcWjddratzeVwRfSp2tTbaWn5\ngu59WpEx5JILmp8tEu4Mw6Bqfy6lK5dTtu4LfFVVAER370Hs4Gwcl16K2Rac/5eiutaW3KzYtZO4\nK6+66Od/su4QOw4W0bdzMkMvaRvo8EQaDSXSIk3IdZensm1/Iet3nqRP5ySuyLy4kngl5T4AUjLa\nByM8AMxmM6kDM0kdmEllcRk5n2xk9z4XJ3xxnPiyktUbltAx2UfvYb1IDmIcIk2Vt6yM0jWrKVm5\nHPfR2ulY1sRE4kdcQ9wVg7GlpAQ9BnubNlgcTip378IwjIv60H6soJz/W55LbIydu67tFrASeiKN\nkRJpkSbEYjbz8zE9eOLNdfzvp3vonppIgvPCy8+VeSKIpIIIR2C3HT+XqHgnWbcMIQs4umUP25bv\n5GBpBLuKItn1j30ksYmu3RPpPjxLOyhKWDMMg8pdOylZvgzXpg0YHg9YLDiy+hM3OJvoHj39Wjjo\nL5PJRFTXrrg2bqAmPw97yoV9i+UzDP7y0U48Xh8TRnbBGa1vn6R5UyIt0sSkxEdx69DOvPPxLt75\n905+dXPvCxrxqSgqwW2JJMVc0gBRnqlN7wza9M7AXV7Jjs82smtHAQVGHKt3eFmXs4LU2Goys7vR\npndGSOITCQVvWRklq1dSsnwZNSdqy9bZW7Wu3TTl8iuwOAOznsEfUV274dq4gcpdOy84kV6y8TB7\nD5eQ1a0F/bpq4yZp/kKSSN944404HLULD9q1a8d9993HY489htlsJiMjg+nTp4ciLJEm46q+bVi/\n8ySb9xWwJuf4BU3xOL7jIABxjtCunLfHRNHnR4Pp8yPI33OIrZ9vJTfPXFtG78MjxH2wgy7psWSO\nyiIyVguUpPn5ZvR5Ka5NGzE8ntqydQMvJy57CFEZXRrFdIjoLl0BqNy1i7jB2ec9P6+4kr8v20dM\npJWfjOgS7PBEGoUGT6TdbjcA77zzTt2xX/ziF0yaNImsrCymT5/O4sWLGT58eEOHJtJkmEwm7hrd\njcffXMd7i/eQ2TGJ2Jgf/gp198aDgJP2XfwrZRUMyRntGZrRnuwaD7s/38SOzcc44XGyPhc2vbKG\nDo4qBo3pg7NTh1CHKlJvntJSSlevpGTFMmpOnADA3roNcVcNIXbgFVgcjeuDo71NW8wOBxW7dp73\nXMMweOujnbhrfPx0VDfiztMfiTQXDZ5I79y5k4qKCiZOnIjX6+Xhhx9m+/btZGVlAZCdnc3q1auV\nSIucR3J8FDdmd+K9xXt4f8lefn59j3Oe6y6v5FBZBBFGJRlXDW7AKC+MxWatK6NXfPgkWz/ZxN5j\nPvZXONk/L5d44yu6domj5zX9G2x+t0ggGD5f3ehz2aaN4PVistmIvXwQcdlDiOzcuVGMPp+NyWyu\nLYO3aSPuE8extzx3Ccvlm4+y42ARfdKTGNij8XxYFwm2Bk+kIyMjmThxIuPGjePAgQP8/Oc/xzCM\nusdjYmIoKytr6LBEmqSrL23H6m3Ha6d39GpFz7TEs56347ONeMx2OidWYLE17qUR8e1acOXdo7jC\n42XP0k3s3HyMY24HX+wx2LhrJamx1fQe2pNWPeu/dbFIsHhKSylddWr0+eSp0ec2bYjLHkrswMsb\n3ejzuTguuRTXpo2ULF9Gyrhbz3pOUVk17y/ZS1SEhTtHqUqHhBeT8e0stgG43W4MwyAiorbSwLhx\n49i+fTs5OTkAfPbZZ6xZs4Zp06Y1ZFgiTdbew8X85qVltEyM4ZVHhmK3nTkH+o+PzCXPF8t/3N2T\nNk0wAc3be5hV879g11Ef1eZIAJJMpfTp25IBPx6kih/SKBiGQWnOdo5/9DEFa7/A8Hgw2+0kDbqC\nVteMwNmta5NLMn01NWyYeA+G10fWm/+NJeLMKkHPzdnA8q+OcP/NfRh1eVrDBykSQg0+NPWPf/yD\n3bt3M336dE6cOIHL5WLQoEGsW7eOAQMGsHz5cgYOHHhB18rL08h1IKSkONWWAdTQ7RkXYWF4Vns+\nWX+Idz/czvVXpH3n8cL9R8jzxZJICbYWKU3uv3VKihPi4hj0s5FcVu1m15JN7NhygjwjjiVfVrJi\n4wekJXjoc3UvUrpoLvUP0f/rgXW6Pb2VlZStWUXx0iW4jx4FaucX1819jomhGqjOd4U2YD85B19F\n4Qf/Yv+iT4nL/u7mLDsPFrH8qyN0bB3LJemJ9Xp/6f0ZWGrPwElJOXf1nAZPpG+++WYmT57M+PHj\nMZvNPPPMM8THxzNt2jRqampIT09n1KhRDR2WSJP2o0EdWZtznA/WHGBwr9bfqS295dPNQDRdusSH\nLL5AsUbY6Tl6ID1HQ/7ew2xevJn9hRb2lMSw5/9ySTZ9SffMFnQb3k+7J0rQle8/wIn5/6J07RqM\n6mqwWHAOGEjckKGNpvJGIMRdNZTCjz6gaMliYq/Mrvt3ebw+5i7ejQm4Y2QXzM3k3ytyMRo8kbbZ\nbDz//PNnHJ8zZ05DhyLSbERHWrnxqnTe+mgnf1u6l3uu7wlAeV4xu/Nt2Kiix8jzl69qSpI7t+Pq\nzu2oqaxmx+IN7MjJJ9+IY8XWar74agnpKT76jLqEhA4Xt/ujyA/x1dTg2rSB4s+XULV3DwDWxCTi\nrh1D3OBsrHFxIY4w8GyJiTgu7Ydrw3oq9+yuK4v3+ZdHOJJXTnafNnRsHRviKEVCo3GvOhKRCza4\nd2s+//IIa3NOMOySdnRuF8cX/1iF1xxD77amZlvtwhYVQe/rB9H7ejixfT9bluZwoNjOjsJIds7d\nQSvbOnoNSKXj4N6YG3BnOGleavLzKF62lNKVy/GeWhAff+klRF+RTUzvPg2662AoJFw9EteG9RQs\n/CdRv/lPKqu9/GvVAaIirNx0VdNbdyESKEqkRZoJs8nE+OEZzH53E39bupdfDuvAnsLakneX3jw0\n1OE1iJY9OjKiR0eqXRXk/Hs9O3aXc8wTx7HVxcSs/JCuHaPoPXoAUfGh2y1Omg7D56N821ZKli6h\nfOsWMAzMMTEkXDOKuOyhtM3sHDZzUKMyMojO7E3Fti2Ub93Cx0UOXJU13HRVJ20DLmFNibRIM5LR\nLp6+nZP5am8+y/66Cp85nl4dzdijIkMdWoOKcERz6c1X0dfn49CGHWxZuY8j1TFsOmhh82trSY2t\nos+wnrTqoZE0OZO3rIySlSsoWfY5Nfl5AER26kT8kKtxZPXHbA/PxDHl5nEczNnKiXnvszhuOAnO\nCEZktQ91WCIhpURapJm5MbsTJ7bnctRwEuWr4JKx4bu5kdlsJnVAT1IH9KT0WD6bP9rA3mMGuS4n\nuQu/JmnhVnr2bkG3Ef0bfX1tCb6qgwco/mwxZevW1m7bbbcTe2U28UOGEZmaFurwQi6iXXtiBw2m\ndOUKuvr20G/k9WcttykSTvSXQ6SZaZMURTeTgctkoX3HaFWvOCW2dXLtRi81HnZ+uoGcrScoMOJY\nvqWaL778lM6tTPS9th+xrVNCHao0IMPjwbVpI0WffUrVvr0A2Fq0JH7oMGIHDcYSHRPiCBsX09Br\nqVm1mqGFX9G90+2hDkck5JRIizQzX81fgcuWQFTVSZaUd2CoYags1bdYbFZ6XjuQntfWLk7cvGQb\nB0ojycmzsf2tLbSNcNHr8nQ6XNZDixObMU9JCSXLl1K87HO8xcUARGf2JuHq4UT3zGz2iwf99cnO\nUioS+zC0YBOF896n1cSfhzokkZBSIi3SjJQey2fjbjcWTJi6duDYwQq27C2gb0ZyqENrlFr26MjI\nHh2pKnWx9cN17Myt5LA7jsPL8on9/AN6dIul5+jLwm6OeXNWtT+XoiWLca1fV7vzYGQk8VePIH7o\n1dhbtQp1eI1asauaFVuOkZh2KdfEFFC6ZhXOyy4jJrN3qEMTCRkl0iLNhM/n49M5q/CY47i0g5e2\nwzNZ9ud1/PuLg0qkzyMy1kH/24bRz+fjwKqtbPniAMdqnKzdbbBx51I6p/i45Nos4tq2CHWo4gfD\n46Fs43qKP1tMVe4+AGytWpEwbDixVwzCHKkt5i/EJ+sP4fH6GHV5R1onTeTgzBmceOctUp+ciSW6\neZbXFDkfJdIizcT6v37OSV8cKaYS+t86BrPFQmanRLblFrLvaAnpbZrfRhGBZjab6XRlHzpd2Yei\ng8fY9NEmcgtt7CiIZOc722gbUUafK7vQoX/3UIcqF8BTUkzJslPTN0pKwGQipncf4q8eQXT3Hpq+\ncRHKq2r4/MsjxDnsDMpsjc1qJnH0dRQuWsjJOW/R6p5fNJudHEUuhhJpkWbg2Na9fHUQbEY1I396\nBWZL7Ur60QM6sC23kI/XHeKXY5VIX4yE1NZcfd91DHZVsPXDdezYW1E77eOzE8Qv3kPPzCR6jOyv\nxZyNUGXuvtrqGxvWgdeLOSqK+BHX1E7faKFvFfyxautxqt1efjQoDZu19gNI0pgfUbFjO2Xr1xHd\nvSdx2VeFOEqRhqdEWqSJqywq5ZN/7cJnjiG7n5PYtt9UneiWmkCHlg427jpJfkklyXH6CvtiRTii\nybplCJf6fOxbsZmtX3zNCW8sq3Jq2LDlMzJam+g7pj/OFkmhDjWsGV5vbfWNTz+um75hb92G+GHD\nib38CsyRmufuL8MwWL75KFaLicG9WtcdN1mttL7nPg7OeIKTf51LZHo6EW3bhTBSkYanRFqkCfN5\nvfz7jc+pMMfRJb6c7iOHfOdxk8nE1Ze24y8f7WRNzgmuvyItJHE2B2azmYyrLiHjqkvI33OITZ9s\n5kBJBNtO2tj+569oH13OJUN70Lp351CHGla8FeWULF9G8ZLFeAoL66ZvJIy4hqhu3TXdIAD2HSnl\naH45A7q3OGMXQ1tSMq3umsjRV1/m6Ksv02HqE1hiVDJQwocSaZEmbOVbn3LcG0eyqYQhE6876zn9\nurbg3U93s2bbccZcnqrEIgCSM9ozMqM9lcVlbPlgHTsPVHGwMpaDHx4m8cMcMvu0rN3kxVq/zSp8\nhkG120uV20uV23Pq1ku120uN14fH46PG66PG48Pjrf2pOXXM4zFqf/f68HoNDAzsditVVTUYRu0o\no2GAwbfuGwYGYALMZhMWs+kst2Yspu8et1vN2G0WbFYzdpuZiLr7ltrHrBbsttrbCLuFqAgLlnrO\nT3afOEHxZ59QsmolRnU1JruduKFXkzB8BPaWqr4RSMs3HwUgu0+bsz7uuKQfideOofDDRRz77z/S\n9lcPY7JooxYJD0qkRZqobYtWk5MXSaS3glE/H3zOnfmiI6307ZzM+p0nOXC8jI6tYxs40uYrKt7J\nZT+5mv5eL7uXbGLrpqPkG3Es31zF+k0f0zXVTpcR/fDaIyiv8lBeWYOrqobySg/l37mtobL6VKJc\n803i7K7xhfqfGDR2m5moCCvREVaiIqxE2S21t6d+Th93RNlwRNtqbyOt2A7nUr50MeVbNoNhYE1I\nJH7MDcRlX6WR0CCorPawbucJkuMi6ZaacM7zksbeSPXhQ5Rv2Uze3+fR4lZt1iLhQYm0SBN0cF0O\nq7ZWYjF8jLq+y3nn516e2Yr1O0+yettxJdL1VOX2UFpRQ2m5+5ufCjelRiylXSIxjh3HmVdEpS2R\nrw5b2frn9ZirCthpc1Bo++FEL8JuIdJmIcpuIcERQaS9dgQ30m4h0m49dVt7zG61YLWYsFrM2Kxm\nbBYzVqu59vdTx6wWE1aruXbk2GQiOdlBYWE5JpMJk6l25NlkMmE2AZw6ZgLDqB0N9/oMfKd+vGe7\nNYy6UXB3jQ+3x3vGbY3HR3WN99Q5tR8SKqs9VFbX3pZV1HCyqBKvzzhnu1gML93LDtC/eDst3UUA\nnIhOYXfbvhS160pMdSSOVYdxRtmIc0QQH2Mn1mEnPiaC2Bh73eI4uXhfbD+Bu8ZHdp82P7ixk8ls\nptV/3MuhWU9T/OnH2BISSBg5qgEjFQkNJdIiTUzerq/5dPFhDJONoQMTL2hObmbHRJzRNtbtOMGt\nwzpjtSix+D6P10dxWTVFrmqKyqq/c7+orJpiVzUl5e7zjhKbsOBMaE2yxUtqSR7VhoOa6NZ0Nnwk\n+IpI6Nqa+B7pxETZiIm0EhNZexsZYQ36DpRJcVH43J6gvoa/ajxeKqpPJ9keKqo9VBUWw8ZVRG35\nAmulCwMTx1pmkNOqNwdtSbgqa6g8VAqU/uC1YyKtxDtqk+p4h524mAjiHHYSnBEkOiNJjK39vb7T\nTZqjL/fkA3BF5vmny1iio2n78G/4evZM8ub9FUtsLLEDrwh2iCIhpURapAkpOniMRX/fRo0lmv6d\noMuwfhf0PKvFzIDuLfls42Fy9hfSp3N4bdBiGAal5W7yS6soKKn9yS+porC0iiJXbdJcWlFzzueb\nTBAbY6dVYjSxMXbiou3Expz6+fb9GDvOKBtm8zcJcU1lNds++oKcnWUUmpMo3OMmYc8X9OrdgvYj\n6z+PurmwWS3EWS3ExdipPnKYoqWfULZ2de3ug1FRxI0cRfzVw+malMy3i6x5vD7KK2soq6yhrNxN\nSbmbYlftNwXF5dWUuE4fq+ZIfvk5X99sMhHnsJMUW5tYJzojSTh1mxRXe+uMtoXVGoMaj49dh4po\nkxxDYuyFVT2xJSXT7te/4dDvZ3H8L3/G4owlpmdmkCMVCR0l0iJNROmxPBa+u4kqSwy9W1WTdcs1\nF/X8y3rUJtKb9xU0u0TaZxiUuNynEuRK8kuqKCitTZYLTt2v8Zx9JNluNRPvjKBNcgzxzggSHBHE\nOyNIdEbU/V6f0UpbVASX3JhNH5+P/Su38NXag5z0xbF8SxXrv/w33dMi6XP9ZUTGOurTBE2e4fNR\nkbONok8/pmJ7DgC2lBbEDx9B3KDB59x90GoxE+eIIM4RASlnPaVOjcdHSXntNwslLjdFZdUUllZR\nePq2tIrco6XsPXL2aSZWi5lEZwRJcZGkxEeR1jaOaJuZlPgokuMicUQ1r0R735ES3DU+eqSde270\n2US0a0+bB3/NkRee4+hrL9P+t48S2bFTkKIUCS0l0iJNQHl+MQv/spYKi5NuiRUM+tm1F32NtFZO\n7DYzuw8VByHC4PN4feQVV3KyqJKTp2+LKjlZVEFBaRUe79mTH0eUjTZJMSTHRZJ06ic59pv70RHW\nBkl+zGYz6dl9Sc/uy4nt+9m0eBtfu6LYdMjClldW0ymxhkuvvZSEDq3Pf7FmxFfjpmztGoo++Rj3\nsdrqEFFdupIw4hpi+vQN6O6DNquZ5LioH6yn7vMZlJS7KTiVWBeWVlNYdur21LEdB4vYcbCorprF\naZF2S11SnRIfdeonsu6YrYl9+5BzoBCAnmmJF/3c6C5daXXPLzj2x1c48v9epP1jU7C3Cq/3toQH\nJdIijVxVqYuF/7OcMnMsnRxlXPUfZy9zdz5Wi5n0NnHsOFiEq7IGR5QtwJHWX3WNl7zvJMoVFJW7\nOXLSRUFpFcZZcmVHlI32LRwkxdUmK0mxkd8kzbGRREU0vm6uZY+OjO7RkbKTBXz5r/XsOQ67i2PY\nM3cHbSPWccmQrrS7tFuowwwqr8tF8dIlFC9ZjLe0FCwWnJdfQcLwkUSmpoUsLrPZRIIzggRnBLQ9\n+26g1TVe8kuqcBuw92Ah+cVV5BVXkldS+749dNJ11uclxkbQMiGalonRtEqIokViNK0So0mOi2yU\n6xa2HyjEYjbRtUO8X893XtoP7x13cnLO2xx67ve0f+RRJdPS7DS+vzAiUqe6tJwFr31GsSmO9hGl\njPjFdZjrMULXtX08Ow4WsedQMZd0Oc/34EHiMwwKS6s4XlDBscIKjhdWcLyg9raorPqsz4l32Mlo\nG0eLhGhaJER98xMfRXRk4/tAcKGcLZLInjiKgZVVbPvwC3J2ndqG/JPjJH6yi159W9J1ePOaR+3O\nO0nxp59QsnI5htuNOSqKhFHXEj9sOLbEix/5DIUIm4W2yTGkpDjpmPLdSiyGYVBWUVOXWOcVV5Ff\nXElecSUniirrRrO/zWwykRwfSavEaFomRNMq8VSSnRBNQmxE0Behno2rsoYDx8rIaB9PpN3/VCH+\nqqEYbjd577/Hoeeeof1vH8Xe+uz1qEWaIiXSIo1UZVEp//zTUopNcbSxljD6gesw13OTg4z2tSNL\nuxogka6s9tQmyd9KlI8VVHCyqAL3WeYrJ8ZG0D01gZYJUd8kzPFRdO+cQllpZVBjDTV7VCSX3nQV\nfX0+9i3/is3rDpHni2PZV1Ws3/hvuneKpM/1lxPhiA51qH6rzM2l6JOPcG3cUFv/OTGRhOEjib3y\nKixRzWfrepPJVLfwNP0sI9rVbi8niys5cer/jROFFZwoquR4YQVb9hUABd8532Y10yIhilanRrLb\nJEfTOimG1knR9Upwz2fHwSIMuOj50WeTMOIaMJnJ++tcDj3/e9r95lEi2iiZluZBibRII1SeV8w/\n/2cFpeZY2tlLuPbB68654crF6NQmFovZxJ7DgZknbRi180mP5pdzJL+8dpS5oJzjhRUUu9xnnG+3\nmWmVVPt1duukGFqd+mq7VWI0Efazf0iIjLBSFpBoGz+z2UzGkEvJGHIpx3Ny2bR4G4cqYth40MKW\n/1pB5xQf/cb0x9m6aSwWNXw+yrdspujjj6jcsxuAiA6pJFwzCme//pis4fcnKMJuoX0LB+1bnLm4\ntLyqhhOF30qyiyo4UVjJ8aIKjuSdWXEkKTbiVFIdQ+vkaNokxdAmOSYg07Zy9vs/P/psEoaPABPk\nvQLhZi0AACAASURBVDeXw88/Q7vfPkpEm7YBubZIKIVfLybSyJUdL2DBm6spMztJjSrlmvvHBOyr\n/Qjb/2/vzsOrLu+8j7/Pycl+kpwsJ3tCAlkJCUvYV1cERVDH0U6d6pSpWGvHdh7tTL1alc6oOPNU\nqzNg6/jUseMy2kJsXUEqO8qWhGwkEEII2XfIBtnOef4I4FLZwi85CXxe1+XVK+dKwvd8ep/f+eY+\n933/3IiL8KO8pp1TPX0XPaP19Ya55kv/dZ76y3OJg/w9SYsLJDzId6BxDvYhIsgHm59rPqYejcLT\nxnJz2lja65rJfn8PhxvNFDd7c/C1PGJ9u5h6Uwb25DGuLvMbOXp7aPv8M1o/WU9vXR0APhMyCLpp\nEd4pqVfUyRZG8vVyZ2ykO2Mjv3rTpDOvv7rmLmqaO6ltOv2/zZ0UlrdQeLrpPcPPx52I0011RPAX\nDbbN6nFR2be2d5NzqBFvTwtxEX6GPb/A62/EZDLR8NYbVP3ffyPqHx/BK3ZkjmGRi6VGWmQEOV7V\nwHv/s4dOsx9jre0Da6IvcznH1yVF2yirbqOsuo20+K/ONl1Kw2wyQWigD0kxNqLsp9+0g3zPO7ss\nl84vPJhr7l/MrI4u8t7/nANHTnG0y4+jWUcIt+xn8tyxxM5Iu6y180bpb28/vYHwU/rbBzYQ+s+Z\nR+DCm/CMinZ1eaOWyWTCZvXEZvX8i9t0d53qo7a583Rj3UVN00CDXVp5/C9O6PHycBtosIN9iLT7\nEhXiS1SIlSB/z7MNdndvP/+5Lp+Ok73cfV2C4TepsV13A5jNNLz5OlX/91ki/+HH+CQlG/pviAwn\nNdIiI0T9gXI+ereYU25WEgM6ue6By9tYeC6JMTY+3n2MvMNNmEwMqmGOPL1Gc7Qd5zWaeVp9mP43\n15PZ10/xhj0U5DdS1x/Ax1ubsW35gIyJdlIWTnfJxsSe+npa/7yBtp07BjYQ+vgQuPgWAq+/AYvt\n8tfYyrn5eFkYFxXwF+uxe3r7qWv5Yga79nSjfay+nfLar94J0svDjciQgca6pe0UR+vamZsewcJp\nMUNSs+2a6zB7+1D36itU/+qXRDzwA6yTJg/JvyUy1ExO5zcdKDU6NDZeLSsnh5bd7qcsDTSYPCt2\nFbJxUzW9Zk8mhJ5izt8tHLIZxs5TvTz8wna+/sI3mSDU5j3whmr3PftxsKsbZo3Pb+ZwOKjYVUTu\nziPU9w80UT79nYwf503GkpnfuDHR6CxPlh2mdcPHdOTmDGwgDA4m8MabCJg775w3ULmSjMaxeeY8\n9jOfOlU3DvwBXdfSRb9j4KqQGB3Ao9+ajLtlaD/l6CzMp+al1Tj7+gi777sk3HbzqMtzJBuN43Ok\nstvPvcRJjbToxWawS82z+JM9bNvXhtNkZnqSG1P+asGFf+gy/XH7ESobOkZUw3wuGp8X1lBcTvbG\nQio6fXCa3HB3dJMY6mDKrdPxCws++31GZOl0OOjMy6Vlw3pOHS4FwHNMHEE3LcaaORWTwUuRRrIr\naWz29Tuob+miofUkKWMCh+389ZNlh6l+8Vc4ujoZc9938Jh7ndbQG+RKGp+upkZazksvNmNdSp77\nfr+FvWUOzE4H10y3kXzD1CGubvTR+Lx4bbVN5Hywh9JGC31mD8yOPsZYu8hcNAl7UuxlZeno6aHt\nsx20btxAb309AL4ZEwlcuAjv5JSrsvnR2DRGd3U11S/8kr7WVgLmLyD029+5Kk90MZrGp3HUSMt5\n6cVmrIvJs7+3j02vrOdwmxV3RzcLb4wldlrqMFU4umh8Xrru9tMbE492c9LsA04nEZYTzLt5AsFp\nCZf0u/ra2zix+fQGwo52TBYLfjNnD2wgvMqPL9PYNE5vaysNv/4POo+U45M6nojvP4Sbr++Ff1DO\nSePTOCO+kXY6naxcuZKDBw/i4eHB008/TUzMhTc5aIAYQy82Y10oz67mE3z4/7bQ5AzA19HB4jsz\nsCfFDmOFo4vG5+D19/VTvGE3+flNnDANHKkW6DxBxqQwUhZOO++JMD11dbRu3EDbZztw9vZi9vHF\ndu112K67HkvA4G4ZfaXR2DRWkNVCwbPP0bk/F/fwcKIe/j94hIa6uqxRS+PTOCO+kd64cSObNm1i\n1apV5OXl8fLLL/PSSy9d8Oc0QIyhF5uxzpdn3YEjbHi3mC43X8LMJ1i84jq8bcad03ol0vi8fA6H\ng6OfF5K36yh1vQMNtU9/B2kJPmQsmYmH7xcbE0+WltLyycd07s8FpxP3EDu2GxcSMHc+Zk9PVz2F\nEUlj01h2ux8N9SdoWvd7Wjesx2y1EvvY43iEhbm6tFFJ49M452ukR8QipOzsbObNmwfAxIkTKSws\ndHFFIsYr3ZLD5s+a6XfzJSWoi/nLjbvRisj5mM1mxs7JYMZtcyjcmk/2xgKOdfmyt9zM/he2kRDQ\nRWpqEN17dnCq7DAAnnHxBC1ajHVy5lW1gVBcy2Q2Y//rb+ERFkHTn96lv60N1EjLCDYiGumOjg78\n/L7o9i0WCw6HY0TcYEDEKPl7KnHiy5w0dzJuvdnV5chVKmx8PDePj6etppHsD/ZxuMlCcUcQB3f3\nEdkWTHJGMNGLrsM7Memq3EAoI0PA/AUEzB/6E4xELteIaKStViudnZ1nv77YJvp8U+1yaZSlsb4p\nz3v+6RZ6u3oIGqPZlUul8WmcM1na7X6MmziWU1097PpgH9n7m6gyp1J9ElIOw6zofqLH6GYqF6Kx\naawzefb29HGoqJ7E8WF4DNNRfFcijc+hNyJG55QpU9i8eTOLFi1i//79JCUlXdTPae2PMbSOyljn\nztMCPhZlfYk0Po1zrizTrk0ndYGDspJG9u+upDi/luL8WiKiA5g4I4a4hGDNTn8DjU1jncmzs6Ob\nj9cW0ljXzqI70ohPsru6tFFJ49M4I36N9I033sjOnTv51re+BcCqVatcXJGIyNXFbDaTOD6MhNRQ\nqiuOs39PJZVHWqitOoEtyJuJ02NISgvD4q710jJ0muo7+GhtAZ3t3aSkhxM7LvjCPyTiQiPi1I7B\n0l9axtBfrcZSnsZSnsa51CybGzvI31PFoaJ6HA4nXj7upE+JIm1KJN4+HkNY6eigsWmsloZO1r2e\nTV+vg5nXjGXSjBh9EnIZND6NM+JnpEVEZOQJtlu59pYUps+PpyCnmqKcGvbuOErurmMkp4eTMS0a\nW5DPhX+RyAXk7a3ks01lWNzMLLwtjXEpWs4ho4MaaREROS9fP09mLhhL5qxYivPryN9bRVFuDUW5\nNcQnhTBpegzh0QGuLlNGIafTya4tR9i/uxKrnyc33ZFGaIS/q8sSuWhqpEVE5KK4e1jImBrNhCmR\nHDnYxP7dlZQfaqL8UBNhUf5Mmh5DXGIIZrM+jpcLczgcbF1/iJL8OgKCvLnvwdn09ve7uiyRS6JG\nWkRELonZbCYhNZRxKXZqK0+wf08lFYeb2fBuEf42LyZOjyE5PRx3bUyUc+jr6+fPfyqmvLQJe7iV\nW+7KwBbkozW9MuqokRYRkUExmUxExtqIjLXR2txJ3p4qDhXWsf2TUvZuLydtchQTMqPw8dXGRPlC\nT3cfH68rpObYcaLG2Fh0xwSdFS2jlkauiIhctsBgX65ZnMz0+fEUZldTmFNN9mcV7N99jKQJ4Uyc\nHk1gsK+ryxQX6z7Vywfv5NNQ2058Ugg3LE3FYtEnFzJ6qZEWERHD+Ph6MH1+PJNnxnKwsI68PZUU\n59VSnFfLmIRgJk2PISImQMeaXYW6T/Xy/tv5NNa1kzwhjGtuTtF6ehn11EiLiIjh3D3cmDAlivGT\nIjlaOrAxseJwMxWHmwmN8GPi9BjGJodgNptdXaoMg4EmOo/Gug5S0sO55uZk/TElVwQ10iIiMmTM\nZhNjk+2MTbZTVzWwMbH8UBMb/3QAvwAvMqZFk5oRjruH3o6uVKdODjTRTfUdpGSEc81iNdFy5dCV\nS0REhkV4dACLogM43tJF/t4qSgrq2Pnnw+zdfpS0KZGkZ0bha/V0dZlioDMz0U31HaROjGDBoiQ1\n0XJFUSMtIiLDyhbkw/ybkpg2L46inBoKcqrJ/fwYebsrSUgNJWNaNPbwc9+SV0aHvt5+PlpbqCZa\nrmhqpEVExCW8fTyYOjeOSTNiOFhYT/6+Kg4V1XOoqJ7ImAAypsUwJiFYG9JGIYfDwcb3DlBXdYKE\nVLuaaLliqZEWERGXsri7kTY5kvGTIjh2pIWCfVVUlrdSU3kCf5sX6VOjSUkP11nDo4TT6WTbhlKO\nljYTNcbGdbekqomWK5auSiIiMiKYTCbGjAtmzLhgWho7B2aoC8+soy4ndWIE6ZnR+AV4ubpUOY+9\n249SnFdLSJiVRXdMwM2ik1nkyqVGWkRERpwg+8ANXmYsiKcot4bCnGry9lSRv7eK+CQ7E6dFExbl\nr5nOEebMjXj8bV7ccleGPkWQK55GuIiIjFjePh5MnRPH5BmxHC5uIH9vFUcONnLkYCOhEX5kTItm\nbLIdNzfNerpaZXkLOzaW4u3jzpK7J+rW8HJVUCMtIiIjnpvFTHJ6OEkTwqg5dpz8vVUcPdzMn98r\nxtfvCOmZUYyfFIGnl7urS70qnWjtYuOfDmAym1h8ZzoBgd6uLklkWKiRFhGRUcNkMhE1JpCoMYGc\naO2iYF81xfm17NpyhH07j5KcHk7G1GhsQT6uLvWq0dvTx8frCuk+1ce1NycTFunv6pJEho0aaRER\nGZUCAn2Ye2Mi0+bFUZxXS0F2NUU5NRTl1BA7Loj0zChi4oO0jnqIbdtQSmtTF+mZUaRkRLi6HJFh\npUZaRERGNU8vdybNiCVjWjTlh5rI21vFsbIWjpW1EBDkTfqUKJJ1fN6QKCmo41BRPaERfsy6bpyr\nyxEZdrqqiIjIFcFsNjMuJZRxKaE01rVTsK+K0uIGdvz5MLu3lZOSHs6EzCgt+zBIa3Mn2z85hIen\nGzcuG68Nn3JVUiMtIiJXHHu4H9ctSWXmteMozqulKLeaguyB/2LGDiz7iB2rZR+D5XA42fRBCX29\nDhbeNh5/mzYXytVJjbSIiFyxfHw9yJw9hkkzYig/1ERBdjWVR1qoPNJCQKA3E04v+/D00tvhpcjf\nW0VDbTuJaQOfAIhcrXTlEBGRK56bm5mE1FASUgeWfRRmV1N6oJ6dnx5m97YjJKeHkz4lisAQX1eX\nOuKdaO1i7/ZyvLzdmXN9gqvLEXEpNdIiInJVsYf7ce0tKcy8dizFebUUnj7poyinhui4QNKnRhE7\nNhizWcs+vs7pdLJ1/SH6+hxcc3My3j666Ypc3dRIi4jIVcnbx4Mps84s+2imILuKqqOtVB1txS/A\ni7TJkaRkhKtZ/JKjh5uprjhO7LggElK1pENEjbSIiFzVBk77sDMuxU5TfQeFOdWUFtWza8sR9mwv\nJyEllLQpkYRF+l/VmxMdDge7thzBZIJZ1467qrMQOUONtIiIyGkhYVauWZzMrGvHcrCgnsLcag4V\n1XOoqJ6QUCtpUyJJHB+Gu4ebq0sddsV5tRxv7mL8pAiCtJZcBFAjLSIi8hc8vdzJmBZN+tQoqiuO\nU5RbTfmhJrauP8Tnm8tInhDO3OsT4So5Orm3p4+9O45icTczbW6cq8sRGTHUSIuIiJyDyWQiOi6Q\n6LhAOtq7Kd5fc/Z25AXZ1UTG2pgwJZK4xJAr+oYkJfl1nOzsJXP2GHysnq4uR2TEGPZGev78+cTF\nxQEwefJk/vEf/5H9+/fzzDPPYLFYmD17Nj/84Q+HuywREZHzsvp5Mm1ePFNmj+FoaTOHCus5eriJ\nmmPH8bF6kDoxgvETI7D6e7m6VEM5nU4Kcqoxu5mYkBnl6nJERpRhbaSPHTtGWloav/71r7/y+MqV\nK1m9ejXR0dGsWLGCkpISUlJShrM0ERGRi+LmNrA5cea8sRwqqaMot4aDBXVk76wg57MK4hJDSJsc\nSXRc4BWxIa+yvJUTLSdJmhCGj69OMBH5smFtpAsLC6mvr+fee+/F29ubxx57jJCQEHp7e4mOjgZg\n7ty5fPbZZ2qkRURkxAsM9mXuDYnMmD+W0uJ6inJqKD/URPmhJvxtXqROjCAlI2JUN6CF2VUApGs2\nWuQvDFkjvXbtWn73u9995bEnn3ySBx54gJtuuons7GweffRR1qxZg9VqPfs9vr6+VFVVDVVZIiIi\nhnP3cGP8xEhSMyKor2njwP5ayoob2L21nL3bjxKXGML4SRGjbpb6ROtJKspaCIv0JzTC39XliIw4\nQ9ZI33nnndx5551feezUqVO4uQ0cGZSZmUljYyO+vr50dHSc/Z7Ozk78/S/uxWq3+xlX8FVOWRpL\neRpLeRpHWRrrm/IMDfUnfVI0p072UpBdRfauCo4cbOTIwUZsQT5MmRnLpGkxo2Itdf7egYmt2deO\nG5axo/FpLOU59IZ1acfq1aux2Wx873vfo6SkhIiICKxWKx4eHlRWVhIdHc2OHTsuerNhY2P7EFd8\ndbDb/ZSlgZSnsZSncZSlsS4mz7jkEMYkBdNQ286B/TUcLm5g00clbFl/kLjEYMZPGtlrqUsP1GM2\nmwgOsw752NH4NJbyNM75/iAZ1kZ6xYoV/OQnP2Hr1q1YLBZWrVoFDGw2fPTRR3E4HMyZM4eMjIzh\nLEtERGTImEwmwiL9CYv0Z/Z1CZQeqOdAbg1HDjZx5GATfgFn1lKH4zuCjpbr6e6jsa6dsEj/q/IG\nNCIXY1gbaX9/f15++eW/eHzixIm88847w1mKiIjIsPP0sjBhShRpkyO/Mku9Z1s5e7eXn15LHUlM\nvOtnqeuqT+B0QmSszaV1iIxkuiGLiIjIMPvGWer9X5z44RfgRUp6OCkZ4S5bS11z7DigRlrkfNRI\ni4iIuNCXZ6kb69o5sL+W0gP17N1xlL07jhITH0jqxAjiEkJwswzf3ROrjx3HbDYRHqXTOkTORY20\niIjICGAymQiNGDhmbvZ14ygraaQ4v5bK8lYqy1vx8raQmBZGakYEwaHWC//Cy9Db00djbTuhEf64\ne6hVEDkXvTpERERGGA9PC6kTI0idGEFLUycl+bUcLKynYF81BfuqCY3wIyUjgoTUUDy9jH8rr61q\n0/pokYugRlpERGQECwrxZfZ1CcxYMJaKw82U5Ndy7EgLDbXtfPbpYcYm20mdGEFETIBhGxRrKrU+\nWuRiqJEWEREZBdzczIxNtjM22U5HezeHCusoya/jUFE9h4rqCQj0JiUjnOQJ4fj6Xd4xejUVxzGZ\n0PpokQtQIy0iIjLKWP08mTJrDJNnxlJbeYLivFqOHGxk99Z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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tracker_data = pvlib.tracking.singleaxis(ephem_joh['apparent_zenith'], ephem_joh['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test different seasons." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-100, 100)" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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FXdGlsgupsanwoRaVWnXVsWl1fox6/FYOLN/C1n11bD1qI2vOV4x46AZ8jLqr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1hP3rfgx9+l3SubRRzh7pGhcl0huSc1EooG/HllvWsXHlMY4fdF2pDECbxBD6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,3,23), end=datetime.datetime(2014,3,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.title('Tucson, March')\n", "plt.ylim(-100,100)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_joh['apparent_zenith'], ephem_joh['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.title('Johannesburg, March')\n", "plt.ylim(-100,100)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-100, 100)" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HZz9xOs+NTXvLOHvkO4b9bgiexvp/YAkhmi+7zUbxlp/I/frLmu29Y7oS9PDv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\nwf8H7lVlVrEX+nUAAAAASUVORK5CYII=\n", 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ecRefxIvm4e677yM5+Sj9+vWnrKyUJ598moqKcry8vJk58x1UVeWuu24hPz+f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\nFy7EunXrsHbtWjz00ENITk5GY2MjKioqYLVa+zqqS+A8xcNZiovzFJ/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g2Wef7b4Xgm7t\nxiznzJmDw4cPIzMzE//7v//bfa15cnKyxAldy415zp07F4cPH8aePXuQmZmJo0ePYuzYsRg9erTE\nCV1PTU0NJkyYgM7OTqxatQoxMTF4+umnMXToUKmjuRRX650yQRCEWz2osbERaWlpyM7ORltbGxYv\nXoz58+f3Rb5+ifMUD2cpLs6z9xw8eBCbNm3CW2+9xTN8d+jgwYPYuHEj/vGPf/AXZhHcmOebb77J\nmwjvwObNm7F27VqkpKRg3rx5mDt3rtSRXJYr/SzqUZG+obCwELGxsTxwiYTzFA9nKS7Os3dYrVYW\nFZHYbLbum7roznGedy49PR11dXVYvny50501dVWu8LPotoo0EREREf3QjXWiaWDhFjpEREREd4gl\nemBikSYiIiIicgCLNBERERGRA1ikiYiIiIgcwCJNREREROQAFmkiIiIiIgewSBMREREROYBFmoiI\niIjIAf8fRwmfFKgBM8sAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,6,23), end=datetime.datetime(2014,6,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.title('Tucson, June')\n", "plt.ylim(-100,100)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_joh['apparent_zenith'], ephem_joh['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.title('Johannesburg, June')\n", "plt.ylim(-100,100)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-100, 100)" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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jTvy8LodB+ZuJG3PuVQ6EcDRrRQWZ775F+cEDuISFEzzpMZy8vC7qXI3pkVZV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Cp8/CdcAgNNqqlQ4Xh3YYc2veI62oKtuOyCTDG1VaWsq6df+r9vmff/4xa9as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\nqG2mvLaJ8pomKmqbKKpwfennTEYD0WHBWIMDKKtupKHxy29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iAAAA\nRUlEQVQQPTgpSIuIiIiIdIOCtIiIiIhINyhIi4iIiIh0g4K0iIiIiEg3KEiLiIiIiHSDgrSIiIiI\nSDcoSIuIiIiIdMP/D0qICYKyO46aAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,12,23), end=datetime.datetime(2014,12,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.title('Tucson, December')\n", "plt.ylim(-100,100)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_joh['apparent_zenith'], ephem_joh['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.title('Johannesburg, December')\n", "plt.ylim(-100,100)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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P4vAVf9GjS7RG9LErp7Bau7M5OhzAxVGkAeA/7DtWrpzCao3oY1e3xCiz48CD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\nenp6cu18DP1p7ux2kNZqtURHR5OZmUlAQADp6el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yEiLLYJEmkkRRFEwfGQGTWSDrcKnsOERE/aq0phWnCuqRFOXLk13JYbBIE0k0\nbkgo3HUabDtcCoORW+ERkePq2fKOs9HkSFikiSTSuagxMSUMTW0G5ORWyo5DRNQvWjsM2H2i/OKW\ndwGy4xBZDIs0kWRTU8OhKMCm/cUQQsiOQ0RkcTuOlqHLYMa0kZHc8o4cCu9mIskCfdwwMkGPoqoW\nnC1ukB2HiMiiTGYzthwsgU6rxsThobLjEFkUizSRDZh+cSu8zQe4FR4ROZaDZ6pR19SJCUND4e7K\nLe/IsbBIE9mA+AgfRAd74dC5atQ0tMuOQ0RkMZv2F0MBMD0tQnYUIotjkSayAYqiYHpaBIQAthzi\nrDQROYa80kbklTVheFwggv3dZcchsjgWaSIbMXpQMLw9XLDjaDk6uoyy4xAR3bZNB7oPYMnkbDQ5\nKBZpIhuh1agwZUQ42juN2HOiQnYcIqLbUtfUgQOnqxGh90RStJ/sOET9gkWayIZMHhEOjVrBpgMl\nMHMrPCKyY1sOdX8dyxwVAUVRZMch6hcs0kQ2xMfDBWMGBaOyrg0nLtTJjkNE1CedXSbsOFIGb3ct\n0pODZcch6jcs0kQ25t9b4RVLTkJE1Dd7TpSjtcOIySPCodWoZcch6jcs0kQ2JjrECwkRPjiRX4ey\nmlbZcYiIbolZCGw6UAKNWsGUEeGy4xD1KxZpIhuUOYqz0kRkn05cqEVFXRvGDAqGj6dOdhyifsUi\nTWSDRsTrEejjij0nKtDc1iU7DhHRTdu0/+KWdxcnBIgcGYs0kQ1SqRRkpkWiy2jGtiNlsuMQEd2U\nkuoWnCyoR1KUL6KCvWTHIep3LNJENmrCsFC46dTYerAEBqNZdhwiohvqWY7G2WhyFizSRDbKTafB\npOHhaGztQk5upew4RETX1dTWhT0nKhHk64bhsYGy4xBZBYs0kQ2bNjICKkXBhpxiCB7QQkQ2bPvh\nUhhNZkxLi4BKxQNYyDmwSBPZsAAfV6Ql6VFS3YLcwnrZcYiIrspoMmProVK46dSYMDRUdhwiq2GR\nJrJxM0ZFAQA27udWeERkm3JyK9HY2oWMYWFw02lkxyGyGhZpIhsXE+aN+AgfHMur5QEtRGRzhBDY\nuL8YigJMHxkhOw6RVbFIE9mBnlnpTTyghYhszNniBhRVtiA1QY9AXzfZcYisikWayA6MiA+E3rf7\ngJYmHtBCRDZkQ073D/gzuOUdOSEWaSI70HNAi8FoxrbDpbLjEBEBAMprW3HkfA1iw7wRH+ErOw6R\n1bFIE9lJ9QAMAAAgAElEQVSJ7gNaNBcPaDHJjkNE1Hsc+MzRUZKTEMnBIk1kJ1xdNJicEoamNgP2\nnuIBLUQkV1NbF3afqECgjytSE/Sy4xBJwSJNZEemjYyAWqVg434e0EJEcmUdKoXBaMaMUZE8gIWc\nFos0kR3x93bFqKQglFa34lQBD2ghIjm6DCZsOVgCD1cNJgzjASzkvFikiexM5sUn4zfsL5KchIic\n1Z6TFWhpN2DyiHC4uvAAFnJeLNJEdmZgqDcSIn1x4kIdSqtbZMchIidjFgIbc4qhVimYmsoDWMi5\nsUgT2aGZF2eleWw4EVnbsfO1qKhrQ/rgYPh56WTHIZKKRZrIDg2PC0SQnxuyT1aisZUHtBCR9WzI\n6V5WNnMUt7wjklakjx49isWLFwMAcnNzMXHiRCxZsgRLlizB+vXrZcUisgs9B7QYTWZkHSqRHYeI\nnER+eRPOFDdgyEB/RAR5yo5DJJ2UJwQ++OADfP311/Dw8AAAnDhxAj/96U/xwAMPyIhDZJcmDA3F\nP3ZewNZDpZidHg2dVi07EhE5uN7ZaB7AQgRA0ox0dHQ0Vq1a1fv2yZMnsW3bNixatAjLly9HW1ub\njFhEdkXnosbkEeFoaTdgz/Fy2XGIyMHVNLbjwOlqROg9kTzAT3YcIpsgpUhnZmZCrf737Nnw4cPx\n5JNPYvXq1YiMjMQ777wjIxaR3Zk+MgIatQobcophNvOAFiLqP5sPlMAsBGaOjoSi8AAWIkDS0o7v\nmz59Ory8vAB0l+xXXnnlpj5Or/fqz1hOhWNpWdYaT73eC9NGRWLD3kKcr2jB+OFhVrmutfH+tByO\npWU5y3i2tBuw81gZ/L1dMWdiHLSa/pmHc5bxtBaOZ/+ziSK9bNkyPP/88xg6dCiys7MxePDgm/q4\n6urmfk7mHPR6L46lBVl7PCcODcHGvYX4bNNpxId6OtxMEe9Py+FYWpYzjef6fYVo7zRhztgBaKhv\n7ZdrONN4WgPH03Ku9wOJTRTpF198ES+//DK0Wi30ej1eeukl2ZGI7EZogAdS4gNx+FwNzhY3IDGK\naxeJyHKMJjM2HyiBTqvGpBTH/Fcvor6SVqTDw8Px6aefAgCSk5OxZs0aWVGI7N7s9GgcPleD9fuK\nWKSJyKL251ahvrkT09Mi4OGqlR2HyKbwQBYiBxAX7oP4CB8cy6vlseFEZDFCCGzIKYKiAJlpkbLj\nENkcFmkiBzFrTPe+rt9d3OeViOh25RbWo6iqBWmJQdD7usmOQ2RzWKSJHMTwuECEBrhj78lK1DV1\nyI5DRA7gu308gIXoelikiRyESlEwc3QUTGaBzQd4bDgR3Z6iymacyK9DYqQvYsK8Zcchskks0kQO\nZOzgEPh4uGDbkVK0dRhlxyEiO7b+4mz07PRoyUmIbBeLNJED0WpUmJ4WgY4uE7YfKZUdh4jsVHVD\nO3JyKxGh98DQGH/ZcYhsFos0kYOZMiIcOhc1Nh0ohsFolh2HiOzQxpxiCAHMHhPtcIc8EVkSizSR\ng3F31WJyShgaWrqw91SF7DhEZGea2rqw81gZArx1GDUoSHYcIpvGIk3kgDLTIqFWKdiQUwyzELLj\nEJEd2XqwBF1GM2aMjoJGzZpAdD38G0LkgPy9XTEmORhlNa04llcrOw4R2YnOLhO2HCyBp5sWE4fx\nOHCiG2GRJnJQsy7u+9qzDywR0Y3sOFaG1g4jpqZ2P2tBRNfHIk3koCKCPDE0JgBnixuQV9ooOw4R\n2TijyYyNOUVw0agwbWSE7DhEdoFFmsiB9R4bzllpIrqB/blVqG3qRMawMHi5u8iOQ2QXWKSJHFhS\nlC8GhHjh0NlqVNS1yY5DRDZKCIH1+wovnpAaKTsOkd1gkSZyYIqi4I70aAgA6/cWyo5DRDbq+IVa\nlFS3YvSgIAT6usmOQ2Q3WKSJHFxqgh7B/u7Yc6ICdU0dsuMQkQ1av7d7+VfPcjAiujks0kQOTqVS\ncMeYKJjMAhtyimXHISIbk1fWiDPFDRgS44+oYC/ZcYjsCos0kRMYOyQEfl46bD9aiua2LtlxiMiG\n/Cu7e9nX7DHRkpMQ2R8WaSInoFGrMGt0FLoMZmw5WCI7DhHZiJLqFhw+V4PYMG8kRfnKjkNkd1ik\niZzExOFh8HTTYvOBErR3GmXHISIb8K+LDyHPGTsAiqJITkNkf1ikiZyEzkWNzLQItHUasf1Imew4\nRCRZVUM79p2qRITeE8PjAmTHIbJLLNJETmTqyAjoXNTYsL8IBqNJdhwikui7vYUQApgzNpqz0UR9\nxCJN5EQ8XLWYMiIcjS1d2H28QnYcIpKkvrkTu46XI8jPDaOSgmTHIbJbLNJETmbGqEho1Cqs31cI\nk9ksOw4RSbAhpwhGk8Ad6dFQqTgbTdRXLNJETsbXU4cJw0JR3dCB/aerZMchIitraTdg25FS+Hnp\nMG5IiOw4RHaNRZrICc0aEwVF6d4/VgghOw4RWdGm/cXoMpgxa3QUNGrWAKLbwb9BRE4oyNcNYwYF\no6S6FUfzamXHISIrae80YsvBEni6aTFxeJjsOER2j0WayEndkd59itm32QWclSZyEtsOl6Kt04gZ\noyKhc1HLjkNk91ikiZxURJAnUuICkVfahNNFDbLjEFE/6zKYsGF/Mdx0akxNDZcdh8ghsEgTObG5\n4wYAAP65O19uECLqdzuPlaOptQtTUyPg7qqVHYfIIbBIEzmxmDBvDB7oj9NFDThXwllpIkdlNJnx\n3b5CuGhUyEyLlB2HyGGwSBM5uXm9s9IFUnMQUf/Ze7IStU2dmDg8DN4eLrLjEDkMFmkiJ5cQ6Yuk\nKF+cyK/DhbIm2XGIyMJMZjO+zS6AWqVg1pgo2XGIHAqLNBFh3viBALhWmsgR5ZyqQmV9OzKGhcLf\n21V2HCKHwiJNREiK8kVchA+O5tWisKJZdhwishCzWeCfe7pno3u2vCQiy2GRJiIoioIfXFwr/c2e\nAqlZiMhy9p+uQkVdG8YPDUGgr5vsOEQOh0WaiAAAgwf6Y2CoNw6erUZJdYvsOER0m8yiezZapSi4\nY+wA2XGIHBKLNBEB6J6Vnjd+AADOShM5goNnqlFW04qxQ4IRxNloon7BIk1EvYbHBiAq2BP7c6tQ\nXtsqOw4R9ZFZCPxzdz4U5d8HLxGR5bFIE1EvRVEwb9xACADf7CmUHYeI+ujw2WqUVLciPTkEwX7u\nsuMQOSwWaSK6zIiEQITrPbDvVCUq69tkxyGiWySEwLrdBRdno7lTB1F/YpEmosuoFAXzxg2AWQh8\nm81ZaSJ7c+R8DYqrWjBmUDBCAzxkxyFyaNKK9NGjR7F48WIAQFFREe6//34sWrQIv//972VFIqKL\n0hKDEOLvjuwTFahuaJcdh4hukhAC63YVQAEwh2ujifqdlCL9wQcf4LnnnoPBYAAA/OEPf8Djjz+O\n1atXw2w2Y/PmzTJiEdFFKpWCH4wfAJNZcAcPIjtyLK8WhZXNSEsKQnggZ6OJ+puUIh0dHY1Vq1b1\nvn3y5EmkpaUBACZOnIjs7GwZsYjoEqMHBSM0wB27j1egimuliWxez9poAL1bWRJR/5JSpDMzM6FW\nq3vfFkL0/r+Hhweam3lEMZFsKpWCOycMvLiNVoHsOER0Ayfy65Bf3oSRiXpE6D1lxyFyCjbxsKFK\n9e8Yra2t8Pb2lpiGiHqkJQUhXO+BPScrUFHHWWkiWyWEwD92XgAAzOPaaCKr0cgOAADJycnYv38/\nRo0ahR07diA9Pf2mPk6v9+rnZM6DY2lZjjSeS+5Ixh8+3o+NB0rwux+PlJLBkcZTNo6lZdnKeOac\nrEB+eTPGDwvDyCFhsuP0ma2Mp6PgePY/myjSTz31FJ5//nkYDAbExsZi1qxZN/Vx1dVcAmIJer0X\nx9KCHG08Y0M8ERXkie2HSjA9NRxhVn6AydHGUyaOpWXZyniahcDH35yEAmDWqAibyNQXtjKejoLj\naTnX+4FEWpEODw/Hp59+CgAYMGAAPvnkE1lRiOg6VIqCOzMG4p0vj2Pd7nw8fOcQ2ZGI6BKHzlSj\nqKoF6cnBCOfaaCKrsok10kRk21LiAhEd4oX9uVUoqW6RHYeILjKbBb7elQ9FAX4wYaDsOEROh0Wa\niG5IURTMnzAQAsC6Xfmy4xDRRTmnK1Fa04pxQ0IQ4u8uOw6R02GRJqKbMiw2AANDvXHgTDWKKrnu\njkg2k9mMr3fmQ61S8IPxnI0mkoFFmohuiqIoWJDR/c36a85KE0mXfaISlfXtyBgWCr2vm+w4RE6J\nRZqIbtrggf6IC/fB4XM1KKhokh2HyGkZTWas250PjVrBXO4bTSQNizQR3TRFUTC/Z1Z6J2eliWTZ\ndbwcNY0dmJQSDn9vV9lxiJwWizQR3ZJB0X5IiPTF0bxanC9tlB2HyOkYjGZ8s6cAWo0Kc8ZGy45D\n5NRYpInoliiKgrsmxgAAvtqeByGE5EREzmXH0TLUNXViamo4fD11suMQOTUWaSK6ZQmRvhgWG4DT\nRQ04WVAnOw6R0+gymPBNdgF0WjVmp3M2mkg2Fmki6pOeWekvt1+AmbPSRFax9VApGlu6MD0tAt7u\nLrLjEDk9Fmki6pOoYC+MSQ5GYUUzDp6plh2HyOG1dRjxbXYB3HQazBwdJTsOEYFFmohuw/yMgVCr\nFKzdcQEms1l2HCKHtn5fIVo7jLgjPQqeblrZcYgILNJEdBuC/dyRMSwUFXVt2H28QnYcIofV0NKJ\nTQeK4ePpgulpkbLjENFFLNJEdFvmjR8IrUaFr3flw2A0yY5D5JD+ubsAXQYz7hw/EDqtWnYcIrqI\nRZqIbouflw7TR0agvrkTWw+Vyo5D5HAq69uw42gZgv3cMGFYqOw4RHQJFmkium2z06PhptPg2+xC\ntHcaZcchcijdzyAI3DUpFho1v20T2RL+jSSi2+bppsWsMVFoaTdgQ06R7DhEDqOwohk5uVWIDvFC\nWqJedhwi+h4WaSKyiMy0CHi7a7FhfzGa2rpkxyFyCF9szwMALJwcC0VRJKchou9jkSYii3B10WDe\n+IHo7DLh2z2FsuMQ2b3cgjqczK9D8gA/DB7gLzsOEV0FizQRWcyklDAE+rgi63AJahraZcchsltC\niN7Z6B9OipWchoiuhUWaiCxGo1ZhwcQYGE0CX+64IDsOkd06eKYa+eXNSEsKwsBQb9lxiOgaWKSJ\nyKLGJAcjOsQL+05VIr+8SXYcIrtjMpvx1Y4LUCkK7poYIzsOEV0HizQRWZRKUXDPlDgAwGdbz0MI\nITkRkX3ZeawcFXVtmDg8FCH+7rLjENF1sEgTkcUlRfshJS4QZ4sbcOR8jew4RHajvdOIf+y4AJ1W\njXnjB8qOQ0Q3wCJNRP1i4eRYqBQFn2flwWgyy45DZBfW7ytEU5sBs8dEwc9LJzsOEd0AizQR9Yuw\nQA9MTAlDRV338cZEdH11TR3YkFMMX08XzBwdJTsOEd0EFmki6jd3ThgInYsaX+/K59HhRDfw5fY8\nGIxm/HBSLHQuatlxiOgmsEgTUb/x8XDBHenRaG4z4F97eUgL0bXklzch+2QlooI9MXZIiOw4RHST\nWKSJqF/NGBUJPy8dNu4vRl1Th+w4RDZHCIHPtpwDANwzNR4qHgVOZDdYpImoX+m0aizIiIHBaMZa\nHtJCdIVDZ2twtqQRKXGBGBTtJzsOEd0CFmki6nfjhoQgMsgTe05UoKiyWXYcIpthNJnx+bbzUKsU\n3D2FR4ET2RsWaSLqdyqVgh9NjYMAD2khutTWQ6Woqm/H5BHhCA3wkB2HiG4RizQRWcXgAf4YGhOA\n3MJ6HtJCBKCl3YB/7s6Hu06DOyfw8BUie8QiTURWc++0OKhVCj7dcg4Go0l2HCKp/rm7AK0dRswd\nNwCeblrZcYioD1ikichqQgM8MG1kBKobOrBxf7HsOETSVNa3YeuhEuh9XTFtZITsOETURyzSRGRV\nPxg/AF7uWnyzpxD1zZ2y4xBJ8dmW8zCZBe6eHAetht+KiewV//YSkVW5u2rxw0mx6DSY8MW287Lj\nEFndsbxaHDlfg6QoX4xM1MuOQ0S3gUWaiKxuwtBQRId4IftkJc6XNMqOQ2Q1RpMZa7acg6IA909P\ngMLDV4jsGos0EVmdSqXgx9MTAAB/33wWZm6HR05i84ESVNa1YcqIcEQEecqOQ0S3iUWaiKSIi/BB\n+uBgFFY0Y9exctlxiPpdY0sn1u3Oh4erBvMzYmTHISILYJEmImnunhwHnVaNL7fnoa3DIDsOUb/6\nYnseOrpMuGtSLLe7I3IQLNJEJI2flw5zxkajuc2AdbsLZMch6jd5ZY3YfbwCkUGemDQ8THYcIrIQ\nFmkikmrm6EjofV2x5WAJympaZcchsjizEPjfTWcBAD/OTIBKxQcMiRyFTRXpu+66C0uWLMGSJUvw\n7LPPyo5DRFag1ahx79R4mMwCa7acg+CDh+Rgdh4tQ355M8YkByMh0ld2HCKyII3sAD26uroAAP/z\nP/8jOQkRWVtKfCAGD/THyfw6HDxTjbSkINmRiCyiqa0LX2zLg6uLGj+aEic7DhFZmM3MSJ8+fRpt\nbW1YtmwZHnjgARw9elR2JCKyEkVR8OPMBGjUCtZsOYf2TqPsSEQW8cW2PLR2GDE/IwZ+XjrZcYjI\nwmymSLu6umLZsmX48MMP8eKLL+KJJ56A2WyWHYuIrCTE3x2zx0Sjvrl7izAie3e+pBG7jpUjQu+J\naSPDZcchon6gCBtZkNjV1QUhBHS67p/Y7777bvz5z39GcHCw5GREZC2dBhMefXMrqurb8fbjkzEg\n1Ft2JKI+MZnM+M1/bEdBeRPeeDQDgwb6y45ERP3AZtZIf/nllzh79ixWrFiByspKtLa2Qq/XX/dj\nqqubrZTOsen1XhxLC+J43p57p8bjrc+P4u1PD+HpH6ciOMib42khvDct63rjuXF/MQrKmzBhWCgC\nPbUc95vA+9OyOJ6Wo9d7XfN9NrO0Y+HChWhubsb999+P3/3ud3jttdegUtlMPCKykmGxARiZqMf5\nkkbsPs4TD8n+1Dd34h87L8DDVYO7J8fKjkNE/chmZqS1Wi1WrlwpOwYR2YD7psXjxIU6fJ6Vh+np\nA2XHIboln245h44uE5bOSoSXu4vsOETUjzjlS0Q2x9/bFXdOGIiWdgM++uak7DhEN+3o+RrsP12F\n2DBvZPAEQyKHxyJNRDZpeloEIvSe2JRThNOF9bLjEN1QR5cRn2w8A7VKwdLZSVApPMGQyNGxSBOR\nTdKoVfjJHUlQKcDH351Gl8EkOxLRda3dkY+6pk7MTo9ChN5TdhwisgIWaSKyWQNDvTE3IwaV9e34\n554C2XGIrim/vAmbDxYj2M8N88YNkB2HiKyERZqIbNqiWYMQ4O2K7/YVobiqRXYcoisYTWZ8tP40\nhACWzkqCVqOWHYmIrIRFmohsmptOg8UzE2EyC3y0Phdms02cIUXUa+P+YhRXtWDCsFAkRfvJjkNE\nVsQiTUQ2b1hsANKTg5Ff3owtB0tkxyHqVVXfhq935cPbXYsfTYmTHYeIrIxFmojswr3T4uHhqsFX\nOy6gpqFddhwimM0C//2v0zAYzbhvegI83bSyIxGRlbFIE5Fd8PZwwb3T4tFpMOG/15+GEFziQXKt\n35OPM8UNGBEfiNGDgmTHISIJWKSJyG6MGxKCYbEByC2sx/YjZbLjkBOramjHR9+egoerBktmJkLh\nntFETolFmojshqIoWDorCW46DT7LOs8lHiSFWQh89K9cdHSZcH9mAnw8dbIjEZEkLNJEZFf8vHS4\nf3o8Oru4xIPk2H6kDKeLGjBmcAjSk4NlxyEiiVikicjuXLrEYxuXeJAV1TS04/+yzsNdp8EvFg7n\nkg4iJ8ciTUR2p2eJh7tOg//jEg+yErMQ+Oi70+jsMuG+6fHw93aVHYmIJGORJiK75Oelw32XLPEw\nc4kH9bOtB0twqqAew2IDMG5IiOw4RGQDWKSJyG6NGxKClLhA5BbWY/MBHtRC/aesphWfb8uDp5sW\nP5mdxCUdRASARZqI7JiiKFg6Owle7lp8sS0PJdUtsiORAzKazPjrP0/BYDRj6awk7tJBRL00sgMQ\nEd0OHw8X/GT2IPznl8fwX+tO4fmladBqOEcAAEIINLcZUNvUgdYOAzQlTaiobkZbpxEms4ACQKNW\nwVWnhrtOA39vVwT6uMLHw4UzrpdYtzsfhZXNmDA0FCMT9bLjEJENYZEmIruXEh+ISSlh2H6kDGt3\nXMCPpsbJjmR1ZrNAUVUzzhU3orSmFeW1rSiraUVrh/GWX0urUSHA2xUh/u6IDfdGbJgPBoR6wdXF\n+b5lnC9pxLfZhQj0ccV90+NlxyEiG+N8XxWJyCHdOzUepwvrsSGnCENj/DFogL/sSP2urKYVJ/Pr\ncLqoHmeKGtDW+e/SrChAkK8bEiJ9ofd1g4erBsGBnjAZTfBw1UCtUkEIAYPJjI4uE1rbu2euaxov\n/tfQjoq6Nhw5XwMAUCkKIvQeSB7oj9QEPWLCvKFy8Fnr9k4j/vrNSUAAP5ubDDcdv2US0eX4VYGI\nHILORY2fzxuM1z45iA++zcVLy0bDw1UrO5bF1TZ2ICe3EntPVaK46t9rwvW+rkhL0iMxyg+RQZ4I\n9nO/YomLXu+F6urmm75WfXMn8kobcaGsCefLGlFQ3oyiqhZ8t68IPp4uSI3XIzVRj0FRflCpHK9U\nr9l8DtUNHZidHoWESF/ZcYjIBrFIE5HDiAnzxg/GD8A/duXj4+/O4JE7BzvEWl+D0Yyc3ErsPFqG\nsyWNAAC1SsGI+ECkxAdiULQfAn3cLH5dPy8d0pKCkJYUBADoMphwqqAeh85W48j5GmQdLkXW4VIE\n+rhiUkoYMoaFwdvDxeI5ZNh7sgK7jpcjKtgTCzJiZMchIhvFIk1EDmXOuGicKKjDgdNV2B7th8kj\nwmVH6rOWdgOyDpdi68ESNLZ2QQGQFOWL9MEhGJmot/qMu4tWjZSL5d1kNuNccSP2nqrA3lOV+HL7\nBfxjZz7SkoIwfWQEYsN9rJrNkirr2/DxhjPQuajxyJ1DoFHz4VUiujoWaSJyKGqVCg//YDBW/C0H\n/7v5HGLDfRAZ5Ck71i2pbezAt3sLsed4ObqMZrjp1Jg1OgpTR4b3y8xzX6hVKiRF+yEp2g8/mhKP\nPSfKkXW4FPtOVWLfqUoMHuiP+RMG2l2hNhjNeO8fJ9HZZcLP5yUj2N9ddiQismEs0kTkcPy9XfHT\nOYPwzpfH8d7XJ/DC0lHQuahlx7qhlnYD/pVdiM0HS2A0mRHo44rMtEhMGBZq0w+6ubtqMD0tEtNG\nRuB0UQO+2VOAk/l1OJlfh6ExAZifMRADQ71lx7wpX27PQ2FlM8YPDcHYwTy9kIiuz3a/MhMR3YYR\n8XpkpkVi04FirN50BsvmJMuOdE1dBhM2HyzBt9mFaO80IsBbh/kZMRg7OMSuHuJTFAWDov0wKNoP\nZ4rq8fWufBy/UIvjF2qRlqjHvdPi4e/tKjvmNR05X4ON+4sR4u+OH2cmyI5DRHaARZqIHNbdU2Jx\nrqQBu49XYFC0H8YNCZUd6QpHztVg9aYzqGvqhIerBvdMjcPU1HBoNbY/g349iVF+ePJ+P5wurMeX\nO/Jw4Ew1jl2oxdyxAzBzdJTNHZpT19SBv32bC41ahYfvHOyUe2YT0a2zra9kREQW9O9SpMYnG86i\nrKZVdqReDS2deHftcfznl8fQ2NKF2elR+P8eHnuxZNp3ib5UUrQfnlk0EsvmDIKrVo2vdlzA8x/u\nw7G8WtnRehlNZvzlHyfQ0m7APVPjEBXsJTsSEdkJFmkicmhBfu54YHYSOg0mrFp7HO2dt37SnyWZ\nhUDW4VIs/+s+HDhTjbhwH7z4k1G4e3Ic3B1w32ug+zCX8UND8dqD6Zg+MgLVDe146/Oj+PCbU2jr\nw8mLlvbplnPIK2tCenIwpqba7y4vRGR9/LcrInJ4owcF40JZEzbuL8bf/pWLX8wfImV/6frmTnzw\nzSnkFtbDTafBkpmJmJgS5vAnBPZwd9Xi/swEZAwPw9/+lYvdJypwuqgeP52TjEHRflIyZZ+owNZD\npQjXe2DprCSH2HeciKyHM9JE5BTunhKLxEhfHDxTje/2FVn9+ofPVuOFD/cht7AeKXGBePXnYzB5\nRLjTlOhLRQZ5YvnikfjB+AGob+7Cm2sOY83mc+gymKyao7iqBR9/dxpuOjV+uWCoXezsQkS2hUWa\niJyCWqXCw/OHwM9Lhy+25+FUQZ1VrttlMOGTjWfwzlfH0WU0Y/GMBPzqh0Ph66mzyvVtlUatwvyM\nGDy7eCSC/d2x6UAxXv74AMprrbOOva3DgFVru/9Mls1JRgj3iyaiPmCRJiKn4ePhgl/MHwKVouC9\nr0+itrGjX69XXtuKlz8+gKyLSweeX5qGKakRXD5wiZgwb7z4k1GYkhqO0pru8Tp4prpfr2kWAh98\nk4uq+nbckR6N1AR9v16PiBwXizQROZXYcB/cn5mAlnYD/rz2ODr7aTnBsbwavPI/B1Ba04qpqeF4\nfkkaIvT2dcKitei0aiyekYgH5yXDLARWrT2Oz7POw2Q298v11u64gCPnazAo2g8LJg7sl2sQkXNg\nkSYipzM5JQwThoWisKIZf/s2F2YhLPbaQgj8a28h3v78GAxGgZ/PTcaiGYlw0XL97Y2kDw7Bc4vT\nEOTnhvX7ivDHT4+gqbXLotfYe7IC32YXIsjXDY/MHwK1it8Giajv+BWEiJyOoihYPCMRCRE+2H+6\nCut25VvkdTsNJry/7iS+2JYHXy8dnlmUirFDeMz0rYgI8sQLS0dhRHwgThc14JX/sdy66byyRvzt\nX90PF/564TD8/+3de1yUBbrA8d/AgFwGZrgMQgKCAqJ4wUt5W3JbPW4mgrp71M2yjV01s4+1H2s3\nT5ls64q7n3Rzi7bNk+tZ0aWCsfUWWYqilpZAgiBIaAiKgCCXGYQBZs4fLdS65QVeHJDn+zfRMz9f\n3rXyykIAABYNSURBVHkY3nlH43x33m5QCHHnyCIthOiTHNR2PDl3BN5aJ3Yd+4oT+RVd+n51JjPr\nt2fx2ZlKQgZoeemxcQT7uSs0bd/i4qTmqbkjiJkcxJW6JtZty6TwwtUufc+a+iZeT82lzWLhidjh\n3OPtqtC0Qoi+TBZpIUSf5e7iyNM/HYlzP3ve3nuG4kt1nfo+FTWNrNt2kpLLDfxgpB/P/Ww02j5+\nV46uUqlUzI4axC9mDqXJ3MaGd77geN7lTn2vZnPb158gaTIz/0ehjBjkpfC0Qoi+ShZpIUSfNkCv\nYWnMcNosFl5LzaWm/vbu5HG+vJ51SZlU1TYRMzmIx2eE46CWU6tSJo/w41fzRuGgtuet3fns/uQr\nrLdxTbvFYmXznnwuVBi5f5Qf/zXOvxunFUL0NXK2F0L0eSMHe7HgR6HUm8z86b1TmJpabum/O32u\nmj/uyMbY2MKjPx7C7KhBcmu7bjAsyJP/eWQMXu792Jlxjn8cKLqlZdpqtbL947Nkna0iPFDHI9OH\nyL+PEEJRskgLIQQwbZw/08b6c7HKxGspOTf9lL3j+ZfZlJJDm8XKk3OG88DoAXdo0r5pgF7DC4vG\ncY+3Kx+fLOP/0gqwWG68TO87XkJ61kX89a48NXckant5yhNCKEvOKkIIwdfX5C6YFsq94T6cLavj\nrd3537uofXK6nM2783F0sGfl/FGMHeJzh6ftm3Safvzm4dEE9teQcaqc/92T/733mj6WW07q4XN4\nuvfjV/MicXFS3+FphRB9QY9YpK1WK2vWrGHBggUsWrSI0tJSW48khOiD7FQqfhk9jPBAHVlnq0j6\n6Ox/XEJwNKect/ecwdlRzbMLIhkS6GGjafsmNxdHfv2z0Qwe4M7x/Ar+8n4eLa3/vkyfPl/N1g8K\ncOmn5lfzIvFwkzd+CiG6R49YpD/++GPMZjPJycmsXLmShIQEW48khOijHNR2PDV3JAE+Gg5lX2T3\nsW/e3JZx6hJ/23cGFyc1z/1stNzezkZcnBxYOT+y4xee1w25tLR+fSnOuUv1JO48jUqlYsVPRzJA\nbnMnhOhGPWKRzszMJCoqCoBRo0Zx+vRpG08khOjLXJzU/GreKLzcnXj/6Hle3nqS5ANFbP2gAFdn\nB5772WgG+rrZesw+zclRzTP/PYoRg7zIPVdN4s7TfFlWx4Z3vqClxcLSmGGEBehsPaYQ4i7XIy4a\nMxqNuLl986SkVquxWCzYyUe3CiFsRKfpx3MPj+a99C/JOltFSUUDbi4OPLdgNP4+GluPJwBHB3ue\nmjuc11JzySmuJqe4GpUKFs8aJtetCyHuiB6xSGs0Gkymbz4C9laXaL1eXhFSirRUlvRUlq166vVu\nRITeXQvZ3XhsJjwVZbP/993Y05akp7KkZ/frES/5jhkzhsOHDwPwxRdfEBYWZuOJhBBCCCGEuDGV\n9XY+IqqbWK1W4uPjKSwsBCAhIYHg4GAbTyWEEEIIIcT36xGLtBBCCCGEEL1Nj7i0QwghhBBCiN5G\nFmkhhBBCCCE6QRZpIYQQQgghOkEWaSGEEEIIITqhxy7SdXV1th7hriI9lSMtlSU9hRDi9sm5U1md\n7WkfHx8fr+woXdPW1samTZvYvn07paWluLq64uNzd30gwp0kPZUjLZUlPZXX0tKCwWCgsbERHx8f\n7O3tbT1SryUtlSU9lSPnTmV1tWePe0X60KFDlJaWsn79elxcXEhJSSEnJwf4+n7T4vZIT+VIS2VJ\nT2WdO3eO+fPnU1BQgMFg4G9/+xtXrlwBpOftkpbKkp7KknOnsrras0cs0sXFxZjNZgAKCwuZMGEC\nXl5eREdHExISwq5duwBQqVS2HLPXkJ7KkZbKkp7dp7Kykh//+MesXr2auLg4zGYzycnJgPS8XdJS\nWdKz6+TcqSwle9r00g6j0cgf//hHtm3bxvnz56mpqWHkyJFs2LCBhQsX4urqiqOjI/n5+ej1evR6\nva1G7RWkp3KkpbKkp/KqqqrYuHEjJpMJZ2dnysvLSUtLIzY2Fnd3d5ycnDh+/DgBAQF4e3vbetwe\nTVoqS3oqR86dyuqOnjZ9RTorK4uamhpSU1NZtGgRGzduJCgoiODgYDZv3gzAwIEDaWxsRKPR2HLU\nXkF6KkdaKkt6Kqu4uJhf//rX+Pj40NjYyIoVK5g6dSpXrlzhwIEDODg44Ofnh6enJzU1NbYet0eT\nlsqSnsqSc6eyuqOnujsH/i5WqxWr1YqdnR12dnZ4e3tTX19PQEAAc+fOJSEhgfj4eB5++GHGjh1L\nTU0NFy9epLW19U6P2itIT+VIS2VJT+VZLBbs7OywWCx4enqydOlSADIyMti8eTOrV69mzZo1TJ06\nFV9fXy5fvoyTk5ONp+6ZpKWypKdy5NyprO7uecd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5y1/kF2YFtPd888035U2EXZCcnEx8\nfDyTJ08mNjaWmJgYW4/Ua/Wm56JbWqTb5eXlERYWJicuhUhP5UhLZUnP7tHa2iqLikLa2to63tQl\nuk56dl1qaipVVVXExcX1uFdNe6ve8Fx0W4u0EEIIIYT4T+33iRZ9i3yEjhBCCCFEF8kS3TfJIi2E\nEEIIIUQnyCIthBBCCCFEJ8giLYQQQgghRCfIIi2EEEIIIUQnyCIthBBCCCFEJ8giLYQQQgghRCfI\nIi2EEEIIIUQn/D/PFViAs512YgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,12,23), end=datetime.datetime(2014,12,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=False, gcr=2.0/7.0)\n", "tracker_data['aoi'].plot()\n", "plt.title('Tucson, December, no backtrack')\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_joh['apparent_zenith'], ephem_joh['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=False, gcr=2.0/7.0)\n", "plt.figure()\n", "tracker_data['aoi'].plot()\n", "plt.title('Johannesburg, December, no backtrack')" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Ym5kLoX/Mi8oiC/Q6xhZSF74iiQTQaTWoKrZgYMyLmbmg6HIohnqHp/HGkSGU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\nljfRlWdqaiqFhYVcvHiR8+fPs2vXLlpaWqipqSE6OppBgwZ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m5mbdfffd6t69uyRp9uzZmjFjhqejAfBhLsPQX1YfliT9dEpvlrtDu/XvFqMR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\njDM7DoAANmVkqtZ9XaiV2/Mp0ghobMg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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,5,5), end=datetime.datetime(2014,5,6), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=False, gcr=2.0/7.0)\n", "tracker_data['aoi'].plot()\n", "plt.title('Tucson, May, no backtrack')\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_joh['apparent_zenith'], ephem_joh['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=False, gcr=2.0/7.0)\n", "plt.figure()\n", "tracker_data['aoi'].plot()\n", "plt.title('Johannesburg, May, no backtrack')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Calculate full POA irradiance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we'll put the tracker data together with the irradiance algorithms to determine plane-of-array irradiance." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-100, 100)" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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oMIYY3B/gWWh0Wq7+1fXEr9/N2g1F7MwJpOj1xVz3yzEEhZz7hhUhBNTu2Ebx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\nMXBIN8xmk9FxRBxCRVpERDoVvwBPpj+SQniUH2cyC9nw3jE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uodS/9euz2Wys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\niIiIiEgrqEiLiIiIiLTC/wfmG6bL5/ehrwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,3,23), end=datetime.datetime(2014,3,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.ylim(-100,100)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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2F/Rs2wrDkKEo+PUj0KYnxuWb450gCEi78WZkVN6NkMuF+t//N/pqa5WOFRXT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\nPB727t1Lfn5+m56jqurE306bXF4CAWV/BmpyeU/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yqYSWOXdB8tkR9fX1wNHp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\nCCGEEEK0w/8DTycKcCOKzgUAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "irrad_data = pvlib.clearsky.ineichen(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "dni_et = pd.Series(pvlib.irradiance.extraradiation(times.dayofyear, method='asce'), index=times).tz_localize(tus.tz)\n", "irrad_data.plot()\n", "dni_et.plot(label='DNI ET')" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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vvfZa/L9fzugod67V4HTauZYqSuX1HBv3AACC/qBm/g5aWM8so4TsLDMOt49g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\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ground_irrad = pvlib.irradiance.grounddiffuse(tracker_data['surface_tilt'], irrad_data['ghi'], albedo=.25)\n", "ground_irrad.plot()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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yXHtBGXbsb8c7NU3Ye7gbew93w2o2YMY4L86fWIDKkW7us5VJU0cQH9a24IPd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\nT0+P3CVoCvspHfZSWuwnEdHw8blTWmf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ephem_data = ephem_tus\n", "\n", "haydavies_diffuse = pvlib.irradiance.haydavies(tracker_data['surface_tilt'], tracker_data['surface_azimuth'], \n", " irrad_data['dhi'], irrad_data['dni'], dni_et,\n", " ephem_data['apparent_zenith'], ephem_data['azimuth'])\n", "haydavies_diffuse.plot(label='haydavies diffuse')" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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90sySRo4jSAN5hOvBAZwKqSDdxYFD5DiCNJBHegJhlRY5VehymF0KgByW+qlX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\nOjs7tWzZMl1yySVavXq1CgoKNHr0aHm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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "global_in_plane = cosd(tracker_data['aoi'])*irrad_data['dni'] + haydavies_diffuse + ground_irrad\n", "global_in_plane.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Do it again for another time of year." ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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wRrsLdOT16Tgylo7VlsdTtVopXLeGom/Wgs2Gaegwgmb/Cr2X87r8/HI8U5cs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IU8orquSlpTvIKazkwo5h3HFVO4wG6Wd6PHtuDumvvowjKwtz9x60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\nU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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,6,23), end=datetime.datetime(2014,6,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.ylim(-100,100)\n", "\n", "irrad_data = pvlib.clearsky.ineichen(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "dni_et = pd.Series(pvlib.irradiance.extraradiation(times.dayofyear, method='asce'), index=times).tz_localize(tus.tz)\n", "plt.figure()\n", "irrad_data.plot()\n", "dni_et.plot(label='DNI ET')\n", "\n", "ground_irrad = pvlib.irradiance.grounddiffuse(tracker_data['surface_tilt'], irrad_data['ghi'], albedo=.25)\n", "ground_irrad.plot()\n", "\n", "ephem_data = ephem_tus\n", "\n", "haydavies_diffuse = pvlib.irradiance.haydavies(tracker_data['surface_tilt'], tracker_data['surface_azimuth'], \n", " irrad_data['dhi'], irrad_data['dni'], dni_et,\n", " ephem_data['apparent_zenith'], ephem_data['azimuth'])\n", "haydavies_diffuse.plot(label='haydavies diffuse')\n", "\n", "global_in_plane = cosd(tracker_data['aoi'])*irrad_data['dni'] + haydavies_diffuse + ground_irrad\n", "global_in_plane.plot(label='global in plane')\n", "\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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lLW/XED9dueNihXR1rZu1u7Owmo0MT27ccpVCNNbIkaMZOXK01jFajIyRFkI0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\nm5uLjIwMfhY5wd17530X6XfffRcajQarV69GdnY2zp49i3nz5mHGjBn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xZWV1/i6hW3A47MrSQMrTWMrTOMrSWMrTWMrzu9m+fSsNDfUMHTqCw4cLmTnz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\ncx2WOEia203lzd/Gc9wJRLZtpfFnPyHa1JTrsA5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Q2BekOxJPJwnDt6EqkGcx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,12,23), end=datetime.datetime(2014,12,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.ylim(-100,100)\n", "\n", "irrad_data = pvlib.clearsky.ineichen(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "dni_et = pd.Series(pvlib.irradiance.extraradiation(times.dayofyear, method='asce'), index=times).tz_localize(tus.tz)\n", "plt.figure()\n", "irrad_data.plot()\n", "dni_et.plot(label='DNI ET')\n", "\n", "ground_irrad = pvlib.irradiance.grounddiffuse(tracker_data['surface_tilt'], irrad_data['ghi'], albedo=.25)\n", "ground_irrad.plot()\n", "\n", "ephem_data = ephem_tus\n", "\n", "haydavies_diffuse = pvlib.irradiance.haydavies(tracker_data['surface_tilt'], tracker_data['surface_azimuth'], \n", " irrad_data['dhi'], irrad_data['dni'], dni_et,\n", " ephem_data['apparent_zenith'], ephem_data['azimuth'])\n", "haydavies_diffuse.plot(label='haydavies diffuse')\n", "\n", "global_in_plane = cosd(tracker_data['aoi'])*irrad_data['dni'] + haydavies_diffuse + ground_irrad\n", "global_in_plane.plot(label='global in plane')\n", "\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Reproduce examples from ``pvl_singleaxis.m``" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Albuquerque: latitude=35, longitude=-106, tz=US/Mountain, altitude=0\n" ] } ], "source": [ "abq = Location(35, -106, 'US/Mountain', 0, 'Albuquerque')\n", "print(abq)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Example 1:\n", "\n", "Horizontal single axis tracking without back-tracking (max angle = 45 deg)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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SRQQHN6B7954cPXqYAwf2AuDh4cX169eoWtWHxYvnU62aH76+/owdOwEvL2/C\nwkJJSIjPNy6NRoPZbM73/bvW1qWUFNJCCCGEEOVQUFAdPvnkQwwGA2azmWHD3mb+/Lm88cZr+Pn5\nU6VK1XzWzB3y0bp1G6ZP/4Lt27fg4OCATqfDaDQycuRoJk2agFarxd3dgz59+uHtXYmJE8dhMpnQ\narW8994H+cYVEFCThQt/IjAwyDLU5PYhJ9Wr12DixHF88MFHquWiqGiUu/eplwmxsSklHUK54Onp\nKLlUkeRTXZJP9Ugu1SX5VJfkU12ST/V4ejrm+570SAshhBBCCFUZjUaGDx/2r5sbc8dijxgxuoSi\nUp8U0kIIIYQQQlV6vZ4ZM2aVdBhFTh7IIoQQQgghRCFIIS2EEEIIIUQhSCEthBBCCCFEIUghLYQQ\nQgghRCFIIS2EEEIIUQ5lZ2ezYcOaQq8/d+5s1q5dpVo8u3b9QXx8HFFRkbzxxmv3vd66dasxmUyq\nxaEmKaSFEEIIIcqh+Pg41q9fW9JhWKxYsYS0tDSAO6bFK8jChT8V+CTEkiTT3wkhhBBCFKF9v5/n\nwukYVbdZI8iLR9sFFLjMggU/cenSBdq2bU6zZs3JyMhg9OgP2LjxV86cOUVSUhI1a9Zi9OhxJCYm\n8skn40lNzX2Iy/vvT7Bs5/r1a3z44fuMHv0B3t6VmDx5IikpuY8Xf/vtEdSoEUDPnp3x96+Bv391\n/vOf4XfEsn//Hv766ywffzyeDz74iJs3ExgzZiRxcbEEBNRi1Kj3iYmJ5vPPPyE7Oxtra2tGjhzD\noUMHiI+PZ/z4MXz88Wd88cUkYmJiiI+Po3XrNgwaNFTFrD44KaSFEEIIIcqhV14ZwIUL52jZ8lFS\nUpL5v//7H+npaTg6OjF16jcoikL//r2Ji4tj8eL5hIQ8RrduzxEeHsapUxEAXLlyiQ0b1vLhh59Q\ntaoP338/g2bNmtO9e0+uXbvKpEkT+O67H4iNjWHevCU4Ot79KYCtWoUQGFibkSPHYDAYSE9P5/33\nx2NnZ88LL/QgMTGRb7+dTq9efWnRohVHjvzJzJnfMG7cRObPn8tHH00mJiaaevXqM2pUN7Kzs3nu\nuWekkBZCCCGEKM8ebRdwz97joubr6weAlZU1N28mMGHCWGxsbMnIyMBoNHLlymU6d+4GQHBwfYKD\n6zN37mwOHNiHXq9Hq80dDXzhwjmOHj3M779vRVEUS8+0i4trvkX0LYqioCgKAFWqVMXe3gEAV1c3\nMjMzOX8ErsFQAAAgAElEQVT+PAsX/sTixfNRFAW9/laZmruek5MTp05FcOzYYWxt7cnJyVE7TQ9M\nCmkhhBBCiHJIo9FYxhZrNLmF8IED+4iJiWLChMkkJiaye/cfgIK/f3VOnQonIKAmx48fZf/+vVhb\nW9O794tUrerDxx+PZ8aMWfj5Vadjxzq0b9+RmzdvsmHD2r+3f+94tFqtpZC+3a3X/P39eeGF/gQH\n1+fKlUscP37Msp7ZbOK339bj6OjEyJFjuHbtKuvXr374JD0kKaSFEEIIIcohV1c3TCYjWVlZltfq\n1q3H/Pk/8tZbg4HcnuG4uFj693+NyZMnsHnzRrRaLe+99wEbN24AoFmz5vzxx3YWL17Ayy8PYPLk\nj1i7dhXp6ekMGDD47y3fu5IODm7Axx+PY+TIMXluNrz19Ztvvs2UKZ+SnZ1FdnY2b789AoAGDRox\ncuR/eeedUXz44fuEh5/AYDBQrZofcXFxeHh4qJGuQtEod/toUEbExqaUdAjlgqeno+RSRZJPdUk+\n1SO5VJfkU12ST3VJPtXj6Zn/kBXpkRZCCCGEEKrYs2cXy5YttvQyK4qCRqOhV68XaNPm8ZINrghI\nIS2EEEIIIVQREtKWkJC2JR1GsZEHsgghhBBCCFEIUkgLIYQQQghRCFJICyGEEEIIUQhSSAshhBBC\nCFEIUkgLIYQQQghRCFJICyGEEEIIUQhSSAshhBBCCFEIUkgLIYQQQghRCFJICyGEEEIIUQhSSAsh\nhBBCCFEIJfKI8Oeeew4HBwcAfHx8GDJkCO+99x5arZZatWoxfvz4kghLCCGEEEKI+1bshXR2djYA\nCxYssLw2dOhQ3nnnHZo1a8b48ePZtm0b7du3L+7QhBBCCCGEuG/FPrTj9OnTpKenM3DgQF599VVC\nQ0M5efIkzZo1A6Bt27bs37+/uMMS4qHsC4/kUlRySYchhBCilDOazKzdc5FPFx0hPTOnpMMRD6nY\ne6RtbGwYOHAgvXr14tKlSwwaNAhFUSzv29vbk5KSUtxhCVFoOUYT8zedwWgy80xLPwZ2r1/SIQkh\nhCiFLkUlM/fXU1yLTcPdyaakwxEqKPZC2t/fHz8/P8vXLi4unDx50vJ+WloaTk5OxR2WEIVm0Ot4\np3dDfvz1FL/uv0z4xQRefToIv0qOJR2aEEKIUsBkNvPr/sus33sJk1nh8UZV6PVETWytS+RWNaEi\njXJ7d3AxWLJkCWfPnmX8+PFER0fz6quvUq1aNV5//XWaN2/O+PHjadmyJZ06dSrOsIR4aBlZRn7a\nEMHGfZfQajX0fjKQPh0C0etkchwhhKiobsSmMvXno5y5chMPZxvefqExjQK9SjosoZJiL6RzcnIY\nPXo0N27cQKvVMnLkSFxcXBg7diw5OTkEBATw8ccfo9Fo7rmt2FgZAqIGT09HyaWKrt/MYPqSo8Qn\nZ1G9siODu9TD282upMMqs6R9qkdyqS7Jp7rKWz4VRWHn8Rss/f0vsnPMtKznzUsdArGzMRTL/stb\nPkuSp2f+V5iLvZBWkzQQdcjJpi5PT0euXLvJ4q1n2RcehbVBx4vtaxHSoPJ9fUAUeUn7VI/kUl2S\nT3WVp3wmpWbx08bTnDgfj521npefrk3zOt7FGkN5ymdJK6iQlsE5QhQBW2s9r3euS/0a7izYfCb3\nF+qFeF55OggH2+LpjRBCCFH8jp6NZd7G06Rm5FDP35UBz9bF1dG6pMMSRUQKaSGKUIu63gRUdeKH\n9Sc5ciaWCzeSeb1zXer4uZZ0aEIIIVSUnWNi6e/n+OPYdQx6LS+2r0W7pj5o5UpkuSZ3QQlRxDyc\nbXn3xSb0aFuDpNRspiw5xood5zCazCUdmhBCCBVci01l4vzD/HHsOj6e9ox79RHaN6smRXQFIGOk\nhYyjekiKohCzaD45MTEAGAw6cnJMd102PcvIjdg0so0mbKz0VPW0x9qgK85wy5yC8vkgNAYDtrUC\nsasXjHU13wo5Xl3OdXWVtnwmXokibHsoqSlZpGcqmMvYX3eNRkNZLElyjGayjWZQFPR6HVYGLffz\n28XGAB2HdsTKtmjmky5t7bMskzHSQhQhxWgkLSIcY1zcfS1f5dYXGWBKgvQii0z8W9qJUFi5Ars6\ndfF+bSAGN/eSDkmIh2Y2mzmxdi9/nsrAqLUGyuh43LJXQ+fS/f3vlvs8DkNmFlkpaUVWSIviIYW0\nEA9JazBQfdLn8HdPyv32Ahw+E8OCTWdIzzLySG0v+nesjZ2NnJL/plaviik1lfTTJ0net5f0iHAu\njx+L14sv4djy0QrZOy3Kh5SoOLYv2kuk0RkdGpr6mfBrWANnH08MZaxA8/RwIDYutaTDuC9nrtxk\n7m+nuJmaTZCPM68V4oZCjVaDVidXJMs6+asthAo02n9uN9DodGju45fjI3UrU72qC7PXneTQ2Tgu\nRKfyRtd6BFR1LspQy5z7zee96J2dcWrRCsfmLUnes4uYpUuI+nEOqceO4tX/FfSO8kRVUbac3Lif\n/UeTyNY540YyHfo2xa161ZIOq9B0VgZ0htJdlhhNZtbtvciv+y6j0Wh47vGadGrhh1YrH8YrqtLd\nYoUo5zycbRnVrzFr9+T+Yv508VF6tK3B0y185SaVIqLRaHBu8xh2QXWJmjuH1KNHyDj3F94vv4ZD\no8YlHZ4Q95RxM5nf5+3gSpYzWq2BRj5GWvR9Vno3i1hcYgaz1kdw/noyHs420vEhACmkhShxOq2W\n59oGUMfXldkbTvLLH+c5dSmB1zvXxdmhjI51LAMMnp74jHyPm1s3E796JTe++QqnkLZ49umLzta2\npMMT4q7O7zrOrt03yNQ546Sk0L57fbzr+Jd0WOXeoVPRzN90mowsE83rePFyxyAZiicAmbVDIHf2\nqu1h8pmcns2PG04RdiEeJzsDr3epS3D1in1DXHG0z6zr14j6YTZZV6+g9/Cg0oBB2AXWLtJ9lgQ5\n19VVnPnMSs9g57zfOZ9sj0YxU8czm9b926G3tiqW/ReH0tg+s7JNLN52lj0nIrE26OjXIZDW9SuV\nifsqSmM+y6qCZu3Qffjhhx8WXyjqSk/PLukQygV7e2vJpYoeJp/WBh0t6npja60n9Fw8+8KjyM4x\nUdvXpcKOwSuO9ql3csI5pA0oCmknQknetwdzZia2gYGqjM8uLeRcV1dx5fPq0bNsWHSE6Gx77E2p\nPPWULw06t0KrLz9tE0pf+7wclcKUZcc5dekmvt4OjHihMXX93cpEEQ2lL59lmb19/leH5bqEEKWM\nVqOhY3NfAqu5MGttBBsPXuHM1UTe6FoPTxcZclBUNHo9Hj16Yt+gIVFz53BzyybSwsOo9PpgbHz9\nSjo8UQEZc4zsXfg7p6L1KFp7ajqm8NirT2Jlb1fSoZVriqKw/cg1lu84h9Gk8NQj1ej5WAAGvTzD\nTtxJeqSFfGpVmVr5dHW0pnX9yiQkZxJ2IYG9YZF4uthS1dNBhSjLjuJunwY3N5xD2mLKyCA9LJSk\nPbtBo8E2oGae2VnKIjnX1VWU+Yz96yrrf9jDtXQ7bMwZtHvUnWa9H0dnZSiS/ZUGpaF9pmbkMHtd\nBFsPX8POxsCbPYJ5smk1dGXwimBpyGd5IT3SQpRRttZ6BnWpS11/NxZtPcPMtRGcvHSTvu1ryRMR\ni5DW2hrvfv1xaNSY6Hk/Er9mFWknjlNp4GCsvCuVdHiiHDObzRz9ZRdHzhkxax2pZkjkyUGPY+vu\nUtKhlXvnriUxa1048clZBPm6MKhLvQeeG1pUPHKzoZAbElRWVPmMjE9j5toIrsakUsXDniFd6+Hj\nVf57p0u6fZrS0oj5eSEpBw+gsbLC64V+OLVpW2bGSd6upHNZ3qidz5TIOLYu2ku0yRm9OYuW9e0J\n7ty6TLa1wiip9mlWFDYeuMzqXRdRUOjWujqdH/Uv8/elyPmuHrnZUBRILv+oq6jy6WhnRUj9SmRk\nmThxPp49YZE42Brwr+RYrv/QlnT71FpZ4di0GVaVKpMWdoLUI3+Sde0q9nXqorUuW71VJZ3L8kbN\nfJ7ecpBNv14gGQc8NEl06dcUv+Z1y/W5/W8l0T6T0rL5bnU4O4/fwNnBirefb0Dr+pXLRd7lfFeP\nDO0Qopww6HOnX6rr58rc306xcPMZTl5K4NVOQdjblN+xk6WBY/MW2ATUJOrH2aQdO8qlCxeoNOB1\n7OsFl3RoogzLSkllx9ztXMxwRqM10NjHRPO+neXhKsXg5KUE5qw/SVJaNg0C3BnwbB2c7MrPdIKi\neEghLUQZ1DjQkwmVHJm9LoIjZ2K5FJnMG12DqekjT9kqSgZ3d3xGjOLm5o3ErVnF9WlTcGn/FB49\nn0drkD/A4sFcPXyKHZvPk6ZzxsGcSvtu9ahcr3pJh1Xumcxmy9NktVoNvZ+oyVPNq8nTZEWhyNAO\nIZd/VFZc+bS11tMquBIaIPR8PHvDotDpNNT0cS4XlyVvKW3tU6PRYFsrEPv6DUk/e5r0E6GkHj+G\nba1a6J1K9weZ0pbLsq6w+TQZTeydt4W9JzLI1lpTyyWdzkM74FzFowiiLDuKo30mJGfy9S8nOBAR\njYezDcN7N+KROl7l6nfmLXK+q6egoR1SSAs52VRWnPnUajQE+bkS5OtC+MV4jv0Vx/kbydSr7oaN\nVfm4NFxa26fexQXn1m0wpaWRHnaC5D270drYYONfvdT+US6tuSyrCpPPhEs32DB7J5fT7LFWMmnX\n2pNmPdugK2cPVymMom6fx/+KY+ry40QlZNAsyIv/9mqAl2v5nZNbznf1FFRIy6wdQu7sVVlJ5fP2\nx4s721sxuEtd6vi7FXscaisL7TP1+DGi58/FlJKCXb1gKr32OnqX0jddWVnIZVnyIPlUFIXQdfs4\nFJGOSWugij6J9q8+hr1H6WsnJaWo2meO0cwvf5xn6+Gr6HVaXmxfi8caVSm1H3jVIue7emTWDlEg\n+dSqrpLK563Hi9tY6Qk9F8fesCjMZoXAas5leuxfWWifVpUq49TqUbJu3CA9IoykfXuw8vbGqnKV\nkg4tj7KQy7LkfvOZfjOFTTO3cDJKj1Yx0yJQT9sBHbC2lyeV3q4o2mfMzXSmrQjl6NlYKrvb8b8+\njWhY06PcF9Eg57uaZNYOISoIrUbD0y18qVXNmVlrI1i/75Ll8eLyYIGipXd2oerbw0ncsZ24Fcu4\n8e0MnNs+hmefF8vcNHlCPZcORrBj+2UytY64Kkl06N0Y95q+JR1WhXDwZDTzN50mM9tE6/qVeKlD\nbazLyZA3UXrI0A4hl39UVlrymZ6Zw0+/nebI2VgcbA0MfLYODWuWvZuZSks+H0TW9etE/TCTrKtX\nMXh7U3nQEGz8S342hrKYy9KsoHyajCb2zt9KREzubC51PTIIeeWpcv2I74elVvvMyjGxZNtZdoVG\nYm3Q8XLH2rQKrnhPJJXzXT0ytEMUSC7/qKu05NOg1/FIkBdO9lYcPxfH/ohosrJN1PZ1KVNP7Cot\n+XwQeicnnFq3QTHmkBYaStLePWisrLCpEVCil5TLYi5Ls/zyefPSddbP3smVdHtszBm0f6wSjbq3\nkbmh70GN9nk9NpWpy0IJv5iAr5cDI/o2po6fq0oRli1yvqtHhnYIUUFpNBraNfGhZlVnvl8TzqZD\nVzhzNZEh3erh6SLjM4uS1mDAs9cL2NUNJurH2cStWEb6qZO5NyI6l+5p8kThha/fy/6wNIxaJ6oY\nkugw6HHs3OXnXdQURWH3iUh+3nqWbKOZJ5v40LtdAAaZDUUUMemRFvKpVWWlMZ/ODta0rl+ZhJRM\nwi8ksDcsCm9XW6p42Jd0aPdUGvP5IKy8vHBq1Zqs69dIDw8j+cA+rH2qYeXlVeyxlPVclja35zMr\nJZUt3//GiUgrUBQeqaXjsQEdsJIbCu9bYdtnRpaRub+d5tf9l7E26BjctR4dW/ii02qLIMqyQ853\n9cg80qJAcrKpq7Tm06DX0iTQE3dnG0LPx3HgZDTJ6dnU9XMt1X9wSms+H4TW2hrH5i3R2dqSGnqc\nlH17MWdlYVc7CE0x5r485LI0uZXPG8fOsn7REWLNTjgqqXTuWYdabRtWiJkh1FSY9nkpKpkvlx7n\n7NVEAqo4MaJvI2pWlSsAIOe7mmRohxACyB3q0aZBFWpUcWbm2nB2HL3OuWtJDO0eTCW38vtggtJA\no9Xi+tTT2AYGETn7e25u3kj6mdNUHjy0RHqnxcMzm80cWLSN41c1KDoHajqn8/hrT2GwkcfFFzVF\nUdh25BrLfz+HyazQqaUvPdrUQK8rvZ0ConySWTuE3NmrsrKSz9w72/9iV+iNUn1ne1nJ54MwZ2YQ\n8/MikvftRWtjg9dLL+PU8tEi3295zGVJSYmOZ9vCvUQZnTCYM2nTwpPaTzYt6bDKtPttn6kZOfz0\n2ymO/RWHo52BQZ3rElzDvRgiLFvkfFdPQbN2SI+0EBWUtUHHq52CqOPnyvxNp5mz4SSnLt+kX4dA\nmWu1iGltbKk0YBB2desRvXABUT/MJj0iAq9+L6G1kTG1pd25XcfZuSeKbK0THpokOr76KE5VPEs6\nrArhr2uJzFoXQUJyFnX8XBnUpS4uDjJPuyg5UkgLUcG1qOuNf2VHZq6JYE9YJOdvJDG0WzA+Xg4l\nHVq559TyUWyqBxA5ZybJ+/eSceEclQcNxcbfv6RDE3dhzM5h17xtnEmwRaMx8IifiSa9O8u0dsXA\nrCj8tv8ya3ZfREGhR5vqPNvKv0xN5SnKJ7nZUMgNCSori/l0sDXQun5lMrONnDgfz56wSJzsDPh5\nO5b4DVNlMZ8PQufggPOjISg5OaSFHidp72601tbYVK+heu7Ley6LUsLlSNbN2cX1DHvsTKl07OBL\n25fak5GRU9KhlRv5tc+k1Cy+XR3GrtBIXBytefv5hjwaXLnEfzeVdnK+q0duNhRC3JNBr+XF9oHU\n8XVl7m+nmL/pDKcu3+SVp4OwtZZfFUVJo9fj2asPdnXrEfXDbGKXLyXt5EkqDXgdvZNTSYdX4Z3c\ndJC9R5Mwah3xMSTSfkg7bF3k51IcIi4mMGfDSZLTsmkY4M6AZ+vgaCc3c4rSQ242FHJDgsrKQz7j\nkzKZtS6Cc9eT8HKxZUj3evhXKpnCoTzk80EYk5KImjuH9IhwdM4uVB48BLvaQapsu6Ll8mHlZGSy\n48etnE91RGs20qyWnsY926L9e8pCyae6bs+nyWxmze6L/Lb/Mlqthl6PB9DhkWrSC/0ApH2qRx4R\nLgokl3/UVR7yaWejp1VwJUxmhePn4thzIhJbKz01qjgV+x+y8pDPB6G1scGxRUu0VtakhR4jed8e\n0GiwrRX40LmvaLl8GHFnLrFu7j6icpxwMKfyTLdaBD7eJM/PQPKprlv5jE/K5KuVJzh4MhpPFxuG\n925EsyAvKaIfkLRP9cjQDiHEA9PrtDz/eABBvi7M2XCSJdv/4tTlmwx4tg4OtoaSDq9c02i1uHV6\nBttatYic/T3xa1eTcfYMlV5/Qx4vXgxCV+/k4KlsTFon/OxSeHLAk1g7yDzrxeHYX7HM/fUUaZlG\nmtfx4uWOQdjZSKkiSi8Z2iHk8o/KymM+E1OzmLM+d3o8NydrhnQNpqZP8RR05TGfD8KUmkrUTz+Q\nFnocnZMTlQcNwa5O3UJtq6Ln8l6y09LZPmcrlzKd0ZlzaFHfnoZd8p/fW/KpnhyjmQ0Hr7B+94W/\n79eoRduGVaQX+iFI+1SPDO0QBZLLP+oqj/m0sdLTql4ltFoNx8/FsTcsCp1OQ00f5yL/Q1ce8/kg\ntFZWODZvYXm8ePK+vSiKgm1g7QfOfUXPZUGiT15k/fyDxJhyH/PdpXd9arSqV+A6kk91RN9MZ9ry\nUA6djKayux3/69OIBgEeUkQ/JGmf6pGhHUKIh6bVaujaujq1q7kwa10EK3de4PSVRF7vXBdne7mL\nvihpNBpcn3oam4CaRM7+noT1a8k4e4bKg4agd3Ep6fDKvGOrdnLodA5mrSM1HFNpN1Ae811cDpyM\nYsGmM2Rmm+jQ3JfnQqrLA6FEmSI90kI+taqsvOfTw9mWVsGVuB6bRvjFBA5EROHn7YCnS9E8ka+8\n5/NBGNzccHo0hOyoSNIjwknevw/ratWw8vK6r/Ull3llpaSz+fuNRERbo1OMtG5oz6P92qHT318h\nJ/ksvKwcE4u2nGHVrovodFoGPlOHlzvXIytL5uVWi7RP9RTUIy2FtJCTTWUVIZ/WBh0t6npjY6Un\n9O+hHmazQmA1Z7TyEJEipbWywvGRFujs7UkNPUbK/n0oJlPuUI+/p2XLj+TyH5HhF1i38BBxJkec\nlWS69GmIf4sHG3su+Syc67GpTF0WSvjFBHy9HRj5QmOC/FwlnyqTfKpHhnYIIVSn1Wh4uoUvtao5\nM2ttBOv3XeLM1UTe6FoPV8f8f+mIh6fRaHBt/xS2ATWJnPU9Cb+uz53VY/BQDK6uJR1eqaYoCkdX\n7uLw2RzMWgdqOqXy+ICOGGykzRY1RVHYcyKSxVvPkm0082RTH3o/URODvuAPgEKUZtJ6hRAPJaCK\nMx++9ghNAz05ezWR8XMPEXourqTDqhBsqtfAd9yHODRtRsZfZ7kyYRxp4SdKOqxSKzMlnQ3TN3Do\nnIIWE481tKHDm52liC4GGVlG5qw/yU8bT6PXaRnWoz79OgRKES3KPBnaIeTyj8oqYj4Neh2PBHnh\nZG/F8XNx7I+IJivbRG1fF7RaeYhIUdIarHBo9gh6R0fS/p7Vw5yTg13toDuGelTkXEZFXGDdgj+J\nNzvgqiTRpW8jfB8p3DSCt1TkfD6Iy1EpTFl2nDNXEwmo4sSIvo2oWfXO6TMln+qSfKpHhnYIIYqc\nRqOhXRMfalZ15vs14Ww6dIUzVxMZ0q1ekd2IKHJpNBpc2rXPndVj5nfc3PgrGX+dpfLgIRjc3Es6\nvBJ3fNUuDp7Oxqy1J9AphbYDnpZe6GKgKArbj1xj+Y5zGE0KnVr40qNtDfQ66YUW5Yf0SAv51Kqy\nip5PZwdrWtevTEJKJuEXEtgbFoW3qy1VPOwLtb2Kns8HoXdxwal1CDmxsaSHh+XO6uHjg5WXN1Dx\ncpmdlsGW734j/O9ZOdo0sqfFi0+i06vTh1TR8vkg0jJzmLUugq2Hr2Fva2BYj/o80cSnwCtUkk91\nST7VI7N2iALJyaYuyScY9FqaBHri7mxD6Pk4DpyMJjk9m7p+rujuMbPEv0k+H4zWYMChaTP0Ts6k\nhR4jef8+FLMZ28Da2DvYVJhcxp25xLqf9hNtcs59wEqf+vg1f7ihHP8mbfPuzl1P4sulx7gQmUKQ\nrwv/69MYv0r5PxnuFsmnuiSf6pGhHUKIYqfRaGjToAo1qjgzc204O45e59y1JIZ2D6aSm11Jh1eu\naTQaXJ5oh0316tyY+S0JG9aRef4cLu+NoCLcY35y/W72hmVg1Drhb5/GkwPbY2VnU9JhlXtmRWHT\nwSus2nkBBYXuIdXp/Kj/Q98nIURpplEURSnpIApLniGvDk9PR8mliiSfd8rKMbFk21/sCr2BtUHH\nyx1r0yq40n2tK/l8OKa0NKLmziEt9DgGV1e8Bw3BLrB2SYdVJIyZWeyc8xtn01zRKkZa1LOjUddH\ni2x/0jb/kZyWzQ8bThJ+MQEXByve6FqP2r4PNhWj5FNdkk/1eHrmf0VFhnYIufyjMsnnnfQ6LY1q\neVDJzY7Q83EcOhVDXFIG9fzd7nnjkeTz4eQ+wKU5WitrUo8fI3nfXjQGAzYBNdGo/PCckpR46Qbr\nZ//BNaMrdko6z3SvQ62Q4CLdp7TNXKcu3+TLZce5GpNK/RruvNOnEVU9HB54O5JPdUk+1SNDO4QQ\npUKLut74V3Zk5poI9oZFceFGMm90rYev973HT4rC02i1uHV6hkpNgzn12VTifllOxrm/qPTa6+js\nC3cTKOTOymA0KeQYTWQbzZjNCmZFwazkvqf8/b9ZAa0m9wOVTqvJ/V+nQa/N/V+n1TxUUX9++0H+\nOJBAts6VKjZpPPX6E9g6yPChomY2K6zbe5H1ey+h1Wro/URNnmpeTfWnmwpRmsnQDiGXf1Qm+by3\nHKOZX/44z9bDV9HrtPRpV5N2TaretZiSfKrH09ORyHPXiJwzk4zTpzB4eOI95E2MnlVJSssmKS2L\npNRs0jJySMs0kp5pJC0rh/RbX2fmkJ1jIivHTI7RTLbRhBp/QXRaDTZWOqytdNhY6bGx0v39T4+9\njR4HOwOOtlY42Br+/jr3fydrHUcWbSE8PvfDQKMaelr0blNsPe0VuW3eTMli9roIzlxNxN3JhiHd\n6hFwl7mhH0RFzmdRkHyqp6ChHVJICznZVCb5vH/Hz8Ux99dTpGbk0LiWB689UwcHW0OeZSSfhaco\nCslp2cQlZxKflEmmUeFyZBLxien4ntxL8LXDGDVatnk8wnGnQCigANVqNNha5xa3VgYtVnodBoMW\na70Wg16HlUFr6VnWaHJveNRqNGg1gEaD2axgMpsxmRSMZgWTyYzJrGA0mcnKMZGVbSLT8s+I0VTw\nnyZHYzpNc9JIs/XGYMrA5GbA4FsVF0dr3Byt8XC2wdPFFndnmyKbt7iits0T5+P4YUPueds00JNX\nnwnC3sZw7xXvoaLms6hIPtUjhbQokJxs6pJ8PpibKVnMWR/B6SuJuDpa80bXegRWc7G8L/ksmKIo\nJKVlE52QTmRCOtEJ6UQnZBCVkE5cUiZGk/mu61kZtNQzRvP4xR1YGzOJ861LQttuOLo44GBrhb2N\nHru//9nbGLCx0hXrmGqjyUxmtom0jBxSMnJITc8hJSOb1Iwcsk7/xc2rmWTqHbDNuUmEjSPxprsX\nyxoNuDna4Olig5erLZ4utlRys6OKhz2eLrYPVWRXtLZpNJlZtfMCmw5dQa/T8MKTtXii8d2vJBVG\nRctnUZN8qkcKaVEgOdnUJfl8cGazwq8HLrN290UUFLq2rk6Xv6fNknzmutW7fC02jWuxqVyLTeV6\nbG2ifsgAACAASURBVBqRCelkZZvuWN7eRm/pkXV3ssHD2YYa1VzRo+DhbIPd3z2IOQnxRM78jswL\n57GqXIXKQ4dhXaVqcR/efTGbTBz5eStHrxowa3XUrWQkpH87dDotWdkmElOzuJmSRUJKJnFJmcTe\nzCA2MYPYpExupmTdsT2dVoOXqy1V3O2p7GFHFXd7fLwcqORmd18FdkVqm7GJGcxcG8HFyGS83ewY\n2k39exsqUj6Lg+RTPVJIiwLJyaYuyWfh/XUtkdnrIohPzqJ2NRcGdalL7QDPCpdPs1khMiGdy1HJ\nXIpK4VpMKtdi00jNyMmznF6nxdstt4f11j/vv///9xAZyL9tKkYjsb8sI3HbVjRWVni//CpOLYtu\n2rjCyEpMZusP27hqdENvzubxNpWp1ab+fa+fnWMiLimTmJsZRCakERmXTmR8Gjfi08nIMuZZVq/T\nUtXDnmreDvh6OeDr7YiPpwN2Nnnvz68o5/rh0zH8tPE0GVlGWtXz5qWnamNrrf5cBRUln8VF8qke\nKaRFgeRkU5fk8+GkZeYw77fTHDkbi72NnuF9m1DD+8Gn0iorFEUhKiGdS5EpXIpK4VJUMleiU8nK\n+aeXWQN4uthS1dMeH08HfLwc8PG0x8vV9oGeFHmvtply+E+i5/2IOTMT58cex/OFF9EarB7m8FTx\n/+3deXxU9b3/8dckk5Blkkz2BJKQQBICQZbgwiKiIgiKLNZqW6ttaYWqvbb3ob23PloF71Xx3kf1\n1ha0Xn9ae1GKLUSlQhFkB8WFhC2QhbAlJGTfZrJMMjO/P5CIVCFMTjIJvJ//ZQzJJ2/POfOeM2e+\np+JAERvWHMbmG4rVZGPG968jfFC0IT/77KUx5dV2TlWfOdt/suLMC5fzL4uJjQhiSHwIQwaGkRIf\nSlZmHPV1zYbM0Re1tTt5e/MRtuaewt/Ph+9PG8akq+J67BIfHTuNpTyNoyItF6SdzVjKs/vcbjdb\n95bxlw+L6HC6mDougbtvGoqf2dfbo3Wbo93J8dNNHDnVwJHSBo6cavjKmWaTCQZGBZMcG8LguBCS\n40NJjLYwwL/7f3tXtk1HxWnKXl6Go7SEAUmDiX/wYfyjY7r9uz3hdrs58M42duc7cPr4M9Tays3z\nb8Hs3/MrtzpdLk7XNHOy0kZJhY0TFWde5LS0ffkCx+xrIjHGQkp8KGkJVtITrYSHfPN6s/1JSaWN\nV9bkUVZtJyE6mIVzRjIoyvOlErtCx05jKU/jqEjLBWlnM5byNE5ppY1X1x6ipMJGUoyFhXMyiY/s\n2SdzozXYHRwpraeotIHiUw0cP92E0/XlYTcyNIC0hDBSBoaSEhdKYowxpfnrdHXbdDkcVK5YTuPO\nHfgEBhI3/wEsY7N6ZKZv0t7cwpZX11PcEo6Pq4OJWWFcNeOaXp3hfC63m4raZo6WNXKsvJGSKjtH\nTzV85f9nVFgAwxKtpCWeKdax4YH96sY3brebTXtK+euW4jMvYrMSuPvm3nkRq2OnsZSncVSk5YK0\nsxlLeRorJCyQP6zM7by9+L3T0nv07eXusre2U3CynsPH6zh8so6yanvnf/P1MZEUa2HooDDSEqyk\nDgrr1TOYl7ptNuzaQeVby3E7HITPuI2oed/C5NvzhaquuIT1K/dQ72sl2G1nxrdHE5Oa0OO/91JF\nR4dQVt7AyYomCkvrKSppoKi0Hnvrl9dchwb7k5YQRnqileFJ4QyKDu6z225js4M/rT3MvuIaLIF+\nzL9tOGPSonrt9+vYaSzlaRwVabkg7WzGUp7GOpvnp4cr+PP6AlraOhg/Ipb7bu2ZDzxdqjaHk6JT\nXxTnE3WcqGjqvEmJv58P6V+85Z866MxZ5wF+3rs8xZNts62khLI/LqW9ooLA9GHEL3wQc5j14v/Q\nQ4Uf7Gb75/W0+waQEGRn+o+nMiA4oMd+X3d8XZ4ut5uyKjuFpfUUlpx5J+LcFUNCg/0ZkRxOZnIE\nI5Ij+sylIHnHa/l/7x+iweZgRHI4P759RK/PpmOnsZSncVSk5YK0sxlLeRrr3Dyr61t4ZU0exWWN\nxFgDWTA7kyEDQ3t1HrfbzckKG/uP1pB3rJbic97a9/UxMXRQGMMHhzN8cDhDBob22M1APOHptuls\nbqbijdew5ezBNyyM+IUPEZQ+zNDZXO3t7HjtHxyqC8GEi3HpA7j6zkl99uwtdC1Pt9tNVUMrhSfr\nOXyilkPH62iwOzr/+8Co4M5iPSzJSkAvXP99rg6ni+ztR1n/yUl8fUzcOWUIt16b5JXbfOvYaSzl\naRwVabkg7WzGUp7GOj/PDqeL93YeY93HJzCZTMyaOJhZE5N7tLA2t3Zw6Hgt+4trOHCshgbbmSJk\nAgbHhZwpzsnhpA2y9tj1zUbozrbpdrup27Ce6tV/AyDqW98mfPoMQ4puU1klH/x5J1WmCAJcLUyb\nlU7CqKHd/rk9zZM83W43p6rs5B2vJe94LYUn63F0nFkdxNfHRFpCGKOGRjE6NZK4iKAefSFRUdvM\nK2vyOH66iZjwQBbOziQlvndfmJ5Lx05jKU/jqEjLBWlnM5byNNY35Xn4RB2vrz1ETWMbg+NC+Mms\nEYatKnC27Ow/WsOB4hqOnHPWOSTIj5EpkYwaGklmSsTXrtfcVxmxbTYXFlD+yss4G+qxZI0j9oc/\nxjcoyOOfd3xnLlu2ldPqG0Ssn40Z86cQFG7sjT56ihF5tne4OHKqgUPHa8k7VsuJ002cfVKOCQ9k\n9BelOj3RatiLRZfLzYd7SsneVoyjw8WkkXF8b1q61y+V0rHTWMrTOCrSckHa2YylPI11oTybWzv4\ny6ZCdh04jdnXh7umDOGWqxPx8bn0s3hOl4uikgZyCqvILaqipvHMda0mIGVgKFcNOVOeB8eFeOVt\nbyMYtW12NNRT/srLtBQW4BcTy8AHf8aAxMRL+hkup5NPl29gb7k/bny4KtHNxO/diM8lrIvtbT2x\nrzfYHRwormFfcTUHj9V23rUywN+XkSkRjE6N4qohkYQGe7a+d3mNnT+ty+fIqQYsgX58f3o61w6P\nNfJP8JiOncZSnsZRkZYL0s5mLOVprK7kmVtYxRvr82lqbiclPoT7bh1GctzF36J2tDvJO1ZLTmEV\ne49Ud662EDjAzFVDIhg9NIrMIRGEBnn/piRGMHLbdDudVL+zmrr16zD5+xNz7/2ETbq+S/+2tbaB\nD/7fJspcEfi72rjxpkSGThhhyFy9qaf39fYOF4Wl9ew7Us2+I9VU1bcCZ17cpSWEkTUshqz0KKLC\nAi/6s1wuNxs+K+GdHUdp73BxdUYM35+W7nEh7wk6dhpLeRpHRVouSDubsZSnsbqaZ6PdwcrNRezO\nq8BkgomZccwcP5iB513uYWtpZ39xNTmF1Rw8VoOj/cz1qWEWf7LSoslKj2ZYknFvo/clPbFt2nJz\nOP36q7haWgi74Uaiv3vhuyGW5xawcV0hdt8Qwk02Zv5gImFxEYbO1Ft6c18/ewfMfUdqyC2q4khp\nQ+clIIPjQshKj2ZcevQ/be9ut5s9BVW8s+Mo5TXNhAT5cd/0YVyd4Z2b7FyIjp3GUp7G6fNF2u12\ns3jxYgoKCvD39+eZZ54hsQtvE2oDMYZ2NmMpT2Ndap6Hjtey4sOizvWb0xLCiI8MIsDfTFFpPcdP\nf7k8XVxEEFnp0YxNjyIlPrTfXrLRVT21bToqKyl/+Q+0lZy5G+LAB3+GX/RXb+HtdrvZ97fNfHLE\njcvHTHpkG1N+OBWzn/eXMPSUN/f1BruD3KIqcgqqOHyirvMa/tjwQFIGhjIoKpiK2hbyT9ZR3dCK\nj8nE9aPi+daUIYT00XdYdOw0lvI0Tp8v0hs3bmTz5s0sWbKEffv28corr/DSSy9d9N9pAzGGdjZj\nKU9jeZKny+1mb1E1/9h9guKyxs7HfX1MpAwMZfTQSLLSo/vdXRK7qye3TZfDQeVby2nctQOfoGDi\nfvIAllFjAGi3NbPp1Q841haOr6ud66+NZMQtvXunxJ7QV/b15tZ29h2pIaewioPHv7yuGiBogJnR\nqZHMnpRCbITnHwrtDX0lz8uF8jTOhYp0nzgVsGfPHiZPngzA6NGjOXjwoJcnEpH+zMdkIiv9zGUa\njnYnVQ2t2FvaSYq19Po6vVcKH39/4n70YwJTU6l8azllv/8dYTfejN1h4uOyEBrN4YS47cz4bhZR\nKfHeHveyEhTgx4SRcUwYGYfL7aaqvoWyKjuRYQEkRFs8+vCtiHRNn3hGsdlshIR82fbNZjMul6tf\nfXpbRPomfz9fw5bFk4sLmzyFAUmDKX95GcWfFpIXO5kO8wAGW1q45ce34B/YN+7kd7nyMZmIDQ8i\nNrxvn30WuVz0iSJtsViw2+2dX3e1RF/oVLtcGmVpLOVpLOVpnN7I0hU5koLZD7Fv+wl8fU3cPjeT\nrAnJffouhZ7Stmks5Wks5dnz+kSRzsrKYsuWLcyYMYO9e/eSnp7epX+na3+MoeuojKU8jaU8jdMb\nWTbbHXy45hCnTtQTag1g+txMouNCqK629ejv9QZtm8ZSnsZSnsbp89dIT5s2jV27dvGd73wHgCVL\nlnh5IhERuVTlJfVseO8QzTYHyWmR3Hx7BgMC+s+dH0VELlWfKNImk4mnnnrK22OIiIgH3G43+z4t\nZffWYgDG3zSEMdcmXpaXcoiInKtPFGkREemf2lo72LIun2OF1QQF+zNtzggGJlm9PZaISK9QkRYR\nEY9UVzTxwTt5NNa3MjDJyrTZwwmyaFUOEblyqEiLiMglO7yvnB0bi3B2uBg7IYlrJydryVIRueKo\nSIuISJd1tDvZsbGI/P2n8R9gZvqcESSnRXl7LBERr1CRFhGRLmmoa+aDd/KoqbQTFWvh1nmZhFoD\nvT2WiIjXqEiLiMhFHS2oYsu6fBxtTkaMHcikqUMxm329PZaIiFepSIuIyDdyOl18su0o+z4txWz2\n4eZZGQwbGeftsURE+gQVaRER+Vq2pjY2vpfH6dJGwiICuXVeJpHRFm+PJSLSZ6hIi4jIPyk9XsvG\nNYdpbW5naEY0N84chv8APWWIiJxLR0UREenkdrvZs+sEn+08jo+PieunpTIya5DuUigi8jVUpEVE\nBICWZgeb/n6YkmN1WEIHMH1uJrEDQ709lohIn6UiLSIinC5tYMN7edibHCQNjWDqrOEEBPp5eywR\nkT5NRVpE5ArmdrvZ/1kpu7cexe12c92UFMaOT9KlHCIiXaAiLSJyhWpr7WDLunyOFVYTGOzHtNkj\nGDQ43NtjiYj0GyrSIiJXoOqKJj54J4/G+lYGJoZxy5wRBFsGeHssEZF+RUVaROQK4na7Oby/nJ0b\ninA63Ywdn8S1NyTj4+Pj7dFERPodFWkRkStEu6ODLWvzKThYwYAAM9PnZZCcGuXtsURE+i0VaRGR\nK0BdTTOr39hD5ekmouNCmD53BKHWQG+PJSLSr6lIi4hc5o4crmTrPwpodzgZmTWQiTen4mvWpRwi\nIt2lIi0icplydrj4aHMxB3NOYfbz4c7vZxGboBusiIgYRUVaROQy1NTQyoZ386gsbyI8Kohb52WS\nnhFHVVWTt0cTEblsqEiLiFxmjhVVs2VtPm2tHaRnxnLDren4+ft6eywRkcuOirSIyGXC6XSxe+tR\n9n9Wiq/Zhykz0hk+Ol53KRQR6SEq0iIil4HG+hY2vneIyvImrBGBTJ+bSWSMxdtjiYhc1lSkRUT6\nuaMFVWxZl4+jzfnFpRxp+Pnr8C4i0tN0pBUR6aecHS4+3lLMgT2nMJt9uHHmMDJGxelSDhGRXqIi\nLSLSDzXWt7Dh3TyqTtsIjwxi+txMIqKDvT2WiMgVRUVaRKSfKc4/c4MVR5uTYVfFMXlamlblEBHx\nAhVpEZF+oqPDyUebi8nLKcPs58NNt2eQcVWct8cSEbliqUiLiPQD9bXNbHzvENUVNsKjvriUI0qX\ncoiIeJOKtIhIH1d0qIJt6wtpdzjJGBXH9dPS8PPTpRwiIt6mIi0i0kd1tDvZtekIh/aWY/bzYeod\nw0nPjPX2WCIi8gUVaRGRPqiuppmN7+ZRU2UnMjqYaXMzCY8M8vZYIiJyDhVpEZE+puDgaXZsKKLd\n4WTEmHgmTU3FrEs5RET6HBVpEZE+wtHWwY4NRRTmVeDn78sts4eTNkKXcoiI9FUq0iIifUBleSMb\n3ztEY30rMfEhTJszglBroLfHEhGRC1CRFhHxIrfbzb5PS/hk2zFcLjdjxydyzeQUfH19vD2aiIhc\nhIq0iIiXNNsdbH7/MCXH6ggK9ufmWRkkpkR4eywREekiFWkRES84ebSWze8fpqW5naQhEdx0ewZB\nwf7eHktERC6BirSISC9yOl18su0Y+z4twcfHxMSbhzLqmgRMJpO3RxMRkUukIi0i0ksa6prZ+N5h\nqk43ERYeyLQ5I4iOC/H2WCIi4iEVaRGRXlB48DTbv1gbetjIWCZPT8PPX4dgEZH+TEdxEZEedP7a\n0LrNt4jI5UNFWkSkh1SWN/LhmsM01LUQEx/CLbNHEBautaFFRC4XKtIiIgZzudzk7j7J5zuP43K5\nGXNdItfeoLWhRUQuNyrSIiIGaqxvYdP7+ZwubSA4xJ+bbx9OQnK4t8cSEZEeoCItImKQwrwKdmwo\nxNHmZMiwaKbMSCcg0M/bY4mISA9RkRYR6aa21na2byjiyKFK/Px9uem2YQy7Kk5rQ4uIXOZUpEVE\nuqHsZD2b3j+MrbGN2IGhTL1juD5QKCJyhVCRFhHxgNPp4rOdx8n9+CQmE1w9aTDjJg3Gx0cfKBQR\nuVKoSIuIXKK6mmY2/f0QVadthIQFcMvs4cQNCvP2WCIi0stUpEVEusjtdnN4Xzm7Nh2ho93FsJGx\nXD8tDf8BOpSKiFyJdPQXEemClmYHW/9RwPGiGvwHmJk2J4PU4THeHktERLxIRVpE5CJOFNewdV0B\nzXYHA5OsTJ2VgSU0wNtjiYiIl6lIi4h8g3ZHBx9tLubQ3nJ8fEyMv3EIY65L1LJ2IiICqEiLiHyt\n8tIGNr9/mMb6ViKjg5l6x3AiYyzeHktERPoQFWkRkXM4O1x8tvMYubtLMJlg7Pgkrrk+GV+zlrUT\nEZGvUpEWEflCdYWNTe8fprbKTqg1gJtnDSc+QcvaiYjI11ORFpErnsvlZu8nJ/lsx3FcLjcjxsQz\n8eah+PnrECkiIt9MzxIickVrqGtm8/v5nD7VSJDFnxtnDmPw0EhvjyUiIv2AirSIXJHcbjeH9pbx\n0eZiOtpdDM2I5oZb0wkI9PP2aCIi0k+oSIvIFcfe1MaWfxRQcrQW/wFmbpk9jLQRsd4eS0RE+hkV\naRG5YnS0OykuqGLXh0doa+0gMSWcG2/LwBIywNujiYhIP6QiLdJNbrebz3Ycp6GuBYABA8y0tXV4\nearLh1F5tra0U17agLPDhdnPh8nT08gcO1A3VxEREY+pSIt0k9PpIi/3FK0tKs99XUR0MIkp4WSO\nHUhYeJC3xxERkX5ORVqkm8xmX+57aELnWdPISAs1NTYvT3X5MCpPs9mHAQH6IKGIiBhHRVrEAGY/\nX8x+vgCEhAbQ2tbu5YkuH8pTRET6Kt3zVkRERETEA71+RvqGG24gOTkZgLFjx/Kv//qv7N27l2ef\nfRaz2czEiRP52c9+1ttjiYiIiIhckl4t0idPniQzM5OXX375K48vXryYpUuXkpCQwIIFC8jPzycj\nI6M3RxMRERERuSS9emnHwYMHqaio4P7772fhwoUcP34cm81Ge3s7CQkJAFx//fV89NFHvTmWiIiI\niMgl67Ez0qtWreLPf/7zVx5btGgRCxcu5NZbb2XPnj089thjLFu2DIvF0vk9wcHBlJaW9tRYIiIi\nIiKG6LEifdddd3HXXXd95bHW1lZ8fc+sbDBu3DiqqqoIDg7GZvtyaSu73U5oaGiXfkd0dIhxA1/h\nlKWxlKexlKdxlKWxlKexlKexlGfP69VrpJcuXYrVauUnP/kJ+fn5xMfHY7FY8Pf3p6SkhISEBHbu\n3NnlDxtWVTX18MRXhujoEGVpIOVpLOVpHGVpLOVpLOVpLOVpnAu9IOnVIr1gwQJ++ctfsm3bNsxm\nM0uWLAHOfNjwsccew+VyMWnSJEaNGtWbY4mIiIiIXLJeLdKhoaG88sor//T46NGjefvtt3tzFBER\nERGRbtENWUREREREPKAiLSIiIiLiARVpEREREREPqEiLiIiIiHhARVpERERExAMq0iIiIiIiHlCR\nFhERERHxgIq0iIiIiIgHVKRFRERERDygIi0iIiIi4gEVaRERERERD6hIi4iIiIh4QEVaRERERMQD\nKtIiIiIiIh5QkRYRERER8YCKtIiIiIiIB1SkRUREREQ8oCItIiIiIuIBFWkREREREQ+oSIuIiIiI\neEBFWkRERETEAyrSIiIiIiIeUJEWEREREfGAirSIiIiIiAdUpEVEREREPKAiLSIiIiLiARVpERER\nEREPqEiLiIiIiHhARVpERERExAMq0iIiIiIiHlCRFhERERHxgIq0iIiIiIgHVKRFRERERDygIi0i\nIiIi4gEVaRERERERD6hIi4iIiIh4QEVaRERERMQDKtIiIiIiIh5QkRYRERER8YCKtIiIiIiIB1Sk\nRUREREQ8oCItIiIiIuIBFWkREREREQ+oSIuIiIiIeEBFWkRERETEAyrSIiIiIiIeUJEWEREREfGA\nirSIiIiIiAdUpEVEREREPKAiLSIiIiLiARVpEREREREPqEiLiIiIiHhARVpERERExAMq0iIiIiIi\nHlCRFhERERHxgIq0iIiIiIgHVKRFRERERDygIi0iIiIi4gEVaRERERERD6hIi4iIiIh4QEVaRERE\nRMQDKtIiIiIiIh5QkRYRERER8YCKtIiIiIiIB1SkRUREREQ8oCItIiIiIuIBFWkREREREQ/0aJHe\nuHEjjz76aOfX+/bt4+677+Z73/seS5cu7Xx86dKlfPvb3+a73/0u+/fv78mRREREREQMYe6pH/zM\nM8+wa9cuhg8f3vnYokWLWLp0KQkJCSxYsID8/HxcLheff/45f/vb3ygvL+df/uVfWLVqVU+NJSIi\nIiJiiB47I52VlcXixYs7v7bZbLS3t5OQkADA9ddfz65du9izZw+TJk0CID4+HpfLRV1dXU+NJSIi\nIiJiiG6fkV61ahV//vOfv/LYkiVLmDlzJp9++mnnY3a7HYvF0vl1cHAwJSUlBAQEYLVaOx8PCgrC\nZrMRHh7e3dFERERERHpMt4v0XXfdxV133XXR7wsODsZms3V+bbfbCQsLw8/PD7vd/pXHQ0JCuvS7\no6O79n1yccrSWMrTWMrTOMrSWMrTWMrTWMqz5/Xaqh0WiwV/f39KSkpwu93s3LmTcePGMXbsWHbu\n3Inb7aasrAy32/2VM9QiIiIiIn1Rj33Y8Os89dRTPPbYY7hcLiZNmsSoUaMAGDduHPfccw9ut5sn\nn3yyN0cSEREREfGIye12u709hIiIiIhIf6MbsoiIiIiIeEBFWkRERETEAyrSIiIiIiIeUJEWERER\nEfFAny3SDQ0N3h7hsqI8jaMsjaU8RUQunY6dxvI0T9/F597Huw9wOp28+OKLvPXWW5SUlBAcHExM\nTIy3x+q3lKdxlKWxlKfx2tvbyc7Oprm5mZiYGHx9fb09Ur+lLI2lPI2jY6exuptnnzsjvXXrVkpK\nSnjuuecICgpi1apV7N+/HwCt1HfplKdxlKWxlKexjh49yj333EN+fj7Z2dn86U9/orq6GlCel0pZ\nGkt5GkvHTmN1N88+UaSLi4txOBwAFBQUMH78eCIjI5k1axapqamsWbMGAJPJ5M0x+w3laRxlaSzl\n2XMqKyu59dZbeeKJJ5g/fz4Oh4OVK1cCyvNSKUtjKc/u07HTWEbm6dVLO2w2G//93//N8uXLOXbs\nGLW1tYwaNYrnn3+ee++9l+DgYPz9/Tl06BDR0dFER0d7a9R+QXkaR1kaS3kar6qqihdeeAG73U5g\nYCDl5eWsX7+eOXPmEBoaSkBAALt37yYxMZGoqChvj9unKUtjKU/j6NhprJ7I06tnpHNycqitrWX1\n6tXcf//9vPDCCyQnJ5OSksKrr74KwODBg2lubsZisXhz1H5BeRpHWRpLeRqruLiYf/u3fyMmJobm\n5mYeeeQRpk6dSnV1NZs2bcLPz4/4+HgiIiKora319rh9mrI0lvI0lo6dxuqJPM09OfDXcbvduN1u\nfHx88PHxISoqisbGRhITE7nzzjtZsmQJixcv5nvf+x7jxo2jtraWU6dO0dHR0duj9gvK0zjK0ljK\n03gulwsfHx9cLhcREREsXLgQgO3bt/Pqq6/yxBNPsGjRIqZOnUpcXBynT58mICDAy1P3TcrSWMrT\nODp2Gqun8+y1M9I1NTXAmetNfHx8sNls+Pn54Xa7KS0tBeAXv/gFubm5NDY28pvf/IadO3eycuVK\nHn30UVJSUnpr1H5BeRpHWRpLefYcH58zh2ybzUZ0dDSFhYUALFq0iDfffJOMjAyuvfZann76aebP\nn4/T6SQ+Pt6bI/dZytJYyrP7dOw0Vm/l2ePXSJ+9HiU7O5uamprOU+XPP/888+bN45NPPqGtrY3o\n6GgsFguNjY2EhIQwefJkrrvuOmbPnk1sbGxPjtivKE/jKEtjKU/jNTY2snr1asxmM2FhYfj6+vK3\nv/2NjIwMdu/eTVBQEDExMYSHh1NZWcnJkyf52c9+RkpKCgkJCTz00EN6u/cLytJYytM4OnYaq7fz\n7PEivXr1aqqrq/nVr35FXl4eO3bs4LrrruP222/H398fq9VKTk4On332GSdOnGDNmjXcfffdWK3W\nnhyr31KexlGWxlKextqzZw+PPPIIoaGhfPbZZ5SVlTFmzBhOnjxJVlYWbW1t5Obm0t7eTlpaGtu3\nb+fqq69m8ODBWK1WhgwZ4u0/oc9QlsZSnsbSsdNYvZ1njxTpoqIirFYrPj4+ZGdnc8stt5CR1Uuj\nNwAADZJJREFUkUF8fDylpaXk5uYyfvx4AGJjY0lPT6e2tpby8nL+/d//ncGDBxs9Ur+mPI2jLI2l\nPHtObm4uI0aMYOHChURHR5Obm0tJSQnz5s0DIDU1lba2NrZs2cJbb71FR0cH3/rWtwgMDPTy5H2P\nsjSW8uw+HTuN5c08DS3SlZWVLF68mL///e8cOnQIPz8/IiMjeeONN7jzzjsJDg7GbDaTl5dHSkoK\nvr6+/OUvf2HixImMGjWKSZMmERYWZtQ4/Z7yNI6yNJbyNF5xcTG/+93vcDqdWK1W9u3bx/79+7nl\nllsICwvDbDazc+dOrrrqKiwWC/X19YwYMYKrr76acePGce+996qofEFZGkt5GkfHTmP1hTwN/bDh\njh07sFgsvPXWW8ycOZMnn3yS6dOn09LSwvr16/Hx8WHQoEE0NzdjtVqxWCwkJCQYOcJlRXkaR1ka\nS3kaKycnh8WLFzNs2DBOnDjBL3/5S+69914++eQTCgoKCAgIICEhAYvFQk1NDTabjf/6r/+isrIS\nq9VKWlqat/+EPkNZGkt5GkvHTmP1hTy7XaRdLhculwug89qTtrY2rrnmGrKysvjjH//I4sWLWbZs\nGfn5+ezcuZOqqira2toAmDp1andHuKwoT+O43W6cTiegLI2gbdN4Z/Nsa2sjJSWFe++9lx//+MfY\n7XY2btzIz3/+c55++mkAkpOTKS8vJygoCIvFwn/8x38QExPjzfH7lLP7urI0hrZN47jdbh07DdTX\nnos8LtJVVVVnfsAX6/LZbDb8/f3p6OjoXFbkySefJDs7m8TERH7605/y3nvvsXnzZh5//HHdzeg8\nFRUVgPI0QkFBAa2trZhMJnx9fbHb7cqyG7Sv95yzS4Y5HA6sVisnTpwA4Ne//jXPP/88c+fOJSIi\ngueee4777ruP8PBwwsPDcbvd+Pn5eXP0PqOxsREAX19fQFka4eyau6A8u6O+vh74cvk1PRd1T199\nLrrka6RPnz7NkiVLWLt2LS0tLYSGhlJdXc2bb77JrFmz2LZtG35+fsTFxREaGsqpU6dITExk4sSJ\nTJgwgVmzZhEeHt4jf0x/dPr0aZ599lnWrFmD3W4nJiaGkpIS3n77bW6//XbleQkqKyt59tlnyc7O\n7rxOqri4mFWrVnHbbbcpy0tUXl7Oc889x8aNGzsPWA0NDSxfvlz7uof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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,6,1), end=datetime.datetime(2014,6,2), freq='5Min')\n", "\n", "ephem_abq = pvlib.solarposition.get_solarposition(times.tz_localize(abq.tz), abq.latitude, abq.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_abq['apparent_zenith'], ephem_abq['azimuth'],\n", " axis_tilt=0, axis_azimuth=180, max_angle=45,\n", " backtrack=False, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.ylim(-100,100)\n", "plt.title('June 1, Albuquerque, NS Horizontal Single-Axis, no backtrack')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Example 2:\n", "\n", "Horizontal single axis tracking with back-tracking (assumes GCR of 0.3)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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nqFy5ClOnTkKv16NWq/ngg4lF5urW7UkmTBiLo6MTrq5upKam8Pff29i9eyfX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,6,1), end=datetime.datetime(2014,6,2), freq='5Min')\n", "\n", "ephem_abq = pvlib.solarposition.get_solarposition(times.tz_localize(abq.tz), abq.latitude, abq.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_abq['apparent_zenith'], ephem_abq['azimuth'],\n", " axis_tilt=0, axis_azimuth=180, max_angle=45,\n", " backtrack=True, gcr=.3)\n", "tracker_data.plot()\n", "plt.ylim(-100,100)\n", "plt.title('June 1, Albuquerque, NS Horizontal Single-Axis, with backtracking')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "####Example 3:\n", "\n", "20 deg titled single axis tracking with back-tracking (assumes GCR of 0.3)" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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c+Nc0att6MLnN+HLbZ3mSc7N0VYT2DFgbSEhkCu+/6ourg5VBY3lcFaE9KwsX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,6,1), end=datetime.datetime(2014,6,2), freq='5Min')\n", "\n", "ephem_abq = pvlib.solarposition.get_solarposition(times.tz_localize(abq.tz), abq.latitude, abq.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_abq['apparent_zenith'], ephem_abq['azimuth'],\n", " axis_tilt=20, axis_azimuth=180, max_angle=45,\n", " backtrack=True, gcr=.3)\n", "tracker_data.plot()\n", "plt.ylim(-100,100)\n", "plt.title('June 1, Albuquerque, 20 deg S-Tilted Single-Axis, with backtracking')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### sketch of automated tests" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "test solar noon" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
010.090.00.00.0
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 10.0 90.0 0.0 0.0" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([10])\n", "apparent_azimuth = pd.Series([180])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
00.090.060.0-60.0
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 0.0 90.0 60.0 -60.0" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([60])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=180, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
00.090.060.060.0
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 0.0 90.0 60.0 60.0" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([60])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test max" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
015.090.045.045.0
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 15.0 90.0 45.0 45.0" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([60])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=45,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test backtrack bool" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
08.537736e-0790.080.080.0
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 8.537736e-07 90.0 80.0 80.0" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([80])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=False, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
052.57166690.027.42833427.428334
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 52.571666 90.0 27.428334 27.428334" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([80])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test axis_tilt" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
07.28624537.342735.987415-20.88121
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 7.286245 37.3427 35.987415 -20.88121" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([135])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=30, axis_azimuth=180, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
047.66322129.03030542.51521931.665508
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 47.66322 129.030305 42.515219 31.665508" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([135])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=30, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test axis_azimuth" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
030.0180.00.00.0
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 30.0 180.0 0.0 0.0" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=90, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
00.0180.030.030.0
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 0.0 180.0 30.0 30.0" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([180])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=90, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
00.0180.030.030.0
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 0.0 180.0 30.0 30.0" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([180])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=90, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
028.02432180.011.170229-11.170229
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 28.024321 80.0 11.170229 -11.170229" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([150])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=170, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
029.498704260.05.7251055.725105
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 29.498704 260.0 5.725105 5.725105" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([180])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=170, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
010.090.00.00.0
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 10.0 90.0 0.0 0.0" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([10])\n", "apparent_azimuth = pd.Series([180])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is supposed to fail..." ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "ename": "ValueError", "evalue": "apparent_azimuth.index and apparent_zenith.index must match.", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mAssertionError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m/Users/holmgren/git_repos/pvlib-python/pvlib/tracking.py\u001b[0m in \u001b[0;36msingleaxis\u001b[0;34m(apparent_zenith, apparent_azimuth, axis_tilt, axis_azimuth, max_angle, backtrack, gcr)\u001b[0m\n\u001b[1;32m 274\u001b[0m pd.util.testing.assert_index_equal(apparent_azimuth.index,\n\u001b[0;32m--> 275\u001b[0;31m apparent_zenith.index)\n\u001b[0m\u001b[1;32m 276\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mAssertionError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/Users/holmgren/miniconda3/envs/pvlib35/lib/python3.5/site-packages/pandas/util/testing.py\u001b[0m in \u001b[0;36massert_index_equal\u001b[0;34m(left, right, exact, check_names, check_less_precise, check_exact, obj)\u001b[0m\n\u001b[1;32m 703\u001b[0m \u001b[0;34m'{0}, {1}'\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mleft\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mleft\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 704\u001b[0;31m '{0}, {1}'.format(len(right), right))\n\u001b[0m\u001b[1;32m 705\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/Users/holmgren/miniconda3/envs/pvlib35/lib/python3.5/site-packages/pandas/util/testing.py\u001b[0m in \u001b[0;36mraise_assert_detail\u001b[0;34m(obj, message, left, right)\u001b[0m\n\u001b[1;32m 879\u001b[0m [right]: {3}\"\"\".format(obj, message, left, right)\n\u001b[0;32m--> 880\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mAssertionError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 881\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mAssertionError\u001b[0m: Index are different\n\nIndex length are different\n[left]: 2, RangeIndex(start=0, stop=2, step=1)\n[right]: 1, RangeIndex(start=0, stop=1, step=1)", "\nDuring handling of the above exception, another exception occurred:\n", "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 3\u001b[0m tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n\u001b[1;32m 4\u001b[0m \u001b[0maxis_tilt\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0maxis_azimuth\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmax_angle\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m90\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 5\u001b[0;31m backtrack=True, gcr=2.0/7.0)\n\u001b[0m\u001b[1;32m 6\u001b[0m \u001b[0mtracker_data\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/Users/holmgren/git_repos/pvlib-python/pvlib/tracking.py\u001b[0m in \u001b[0;36msingleaxis\u001b[0;34m(apparent_zenith, apparent_azimuth, axis_tilt, axis_azimuth, max_angle, backtrack, gcr)\u001b[0m\n\u001b[1;32m 276\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mAssertionError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 277\u001b[0m raise ValueError('apparent_azimuth.index and ' +\n\u001b[0;32m--> 278\u001b[0;31m 'apparent_zenith.index must match.')\n\u001b[0m\u001b[1;32m 279\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 280\u001b[0m \u001b[0mtimes\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mapparent_azimuth\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mindex\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mValueError\u001b[0m: apparent_azimuth.index and apparent_zenith.index must match." ] } ], "source": [ "apparent_zenith = pd.Series([10])\n", "apparent_azimuth = pd.Series([180,90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }