{ "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 > 0.2.0 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.\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", "pyephem_tus = pvlib.solarposition.pyephem(times, tus)\n", "pyephem_joh = pvlib.solarposition.pyephem(times, johannesburg)\n", "pyephemout = pyephem_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 = pyephemout['azimuth']\n", "apparent_azimuth = pyephemout['azimuth'] # not much difference, so cheat\n", "apparent_zenith = pyephemout['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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TSziSXsrRjFI2JGezITkbgLD6otqf1tF+blVUi4bR6EX078MwfvzxR6qrq7nrrrt47rnn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\n72jJyaZ02xYklQrfZStRurpd8bjG9iY2J+/gi5x92CvtWD5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vRRVNfHIkx9rhCD1UXVsD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8lSWZKnss6Up91iofi1v9F0KBvPuHgiHpiL1s/PCRW6rlZbK5XN1VS31FBrqWNq+hVnfK5bjkT/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\nF9HR0QQGBpKcnMzBgwfp27cvu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"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)=0.984807753012, sin(axis_azimuth_south)=-0.173648177667\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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zSC6dy5Pzaa+poeSnJZSsWIaqq0MfFEzw6GsI6D/QZf2dPTmf58JeWUnJiqWU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IAAAg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\nura21t0ldBuSpbIkT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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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QQohrVNcYWbMvhU2HL4KC+zt5M6a3P5YGnblLE6LBkBAthBBCiDoXs4r5ckMc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\ncu/kFIalhTo6loiISKemEi3Sg1XVN/GX1Uc5deYCYQEePDg9jV5BZkf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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", "pyephemout['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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QQohrVNcYWbMvhU2HL4KC+zt5M6a3P5YGnblLE6LBkBAthBBCiDoXs4r5ckMc\nGbmluDpa8dgDYYT4OJu7LCEaHAnRQgghhKCm1siGgxdZf+ACtUZF3/YtGd83ACsLiQpC3Ig8M4QQ\nQoh7XHpuCV+tj+didjHO9pZMHxpGhJ+LucsSokGTEC2EEELco2qNRjYfTmXNvhRqahU9W3syqX8Q\nNlYSD4T4PfIsEUIIIe5Bl/JL+WpDPMmZV3C0teCRIaG0C3Q1d1lCNBoSooUQQoh7iFEpth1NZ8Xu\n81TXGOkS7sHk+4OxszaYuzQhGhUJ0UIIIcQ9IqewnK83xHM2rRA7awMzhoXTKdTd3GUJ0ShJiBZC\nCCGaOKUUu05msmzHOSqra+kQ7MbUQSE42FqYuzQhGi0J0UIIIUQTVnClgm82JXAmpQAbSz0zhofT\nNdwDjUZj7tKEaNQkRAshhBBNkFKKQ3HZLIo+S3llDW0CmvHI4FCc7S3NXZoQTYKEaCGEEKKJKS6r\nYuGWRI4m5mJpoePRIaHc18ZTus9CmJCEaCGEEKIJiTmXx7ebEigqrSLIy5HHhoXj7mRt7rKEaHIk\nRAshhBBNQEVVDUt3nGP3yUz0Og3j+wQwqLMPWq10n4W4GyRECyGEEI1cUnohX66PI7ewAi83O2YM\nD8fb3c7cZQnRpEmIFkIIIRqp6hojq/cls/lQKmhgaFdfRvb0w6DXmrs0IZo8CdFCCCFEI5SWU8IX\n6+JIzy3BzcmKx4eFE+TlZO6yhLhnSIgWQgghGhGjUbHlSCqr9iZTU6vo064FE/oFYmUhf9KFqE/y\njBNCiHtYeU0FlysKKaspp7ymnPKaCspqyqmqrUIphQJAoRTotTqs9FZY6yyx0lthpbfCydIBR0tH\nDFr5c1IfcgrL+XJ9HOfSi3C0tWDa0FDaBLiauywh7knyW08IIZq4ippKssqyiS0uJDHrAnnl+RRU\nFFJQUUh5TblJxrA32OFk5UgzK2ea27jjaeuBp11z3G3cJGCbgFKKPTGZLNl+ddvuTiFuTBkUgr2N\nbNsthLnIbzYhhGhCao21pJdkklx0kZSii1y8kkZeRcF1j7PUWeBi5Yy/oy/Olo7YGWyx0ltho7fG\n2mCNhdaARqNFA3UbdNQYa6ioqaSitoKKmkrKasopqrzC5coiCisKySrNJq0445pxtBotzW3c8XP0\nwc/BFz9HH9xt3NBq5MK3P6qopJJvNiVw6nw+1rJttxANhoRoIYRoxIzKSFpxBvEFZ0koSOLClTSq\njdV199uap4FeAAAgAElEQVQabAh2DqSFrQchzVthr5zwsHHDWm9t8hCmlOJKVTGXSrN/8S+LtOJM\nMkuz2J95BABrvTXBTv6EugQR4hKEu7WrBMKbOJGUyzcbEygprya8lTPTh4bh4mBl7rKEEEiIFkKI\nRqesuozYvHjO5CeQcDmJ0uoyADRoaGHXHD9HX/wdfPF3bIWrtUtdQHVzsyc3t/iu1aXRaHC0dMDR\n0oFQl6C622uNtWSWZpFSlErKlYskF14gJu8MMXlnAHC2dCK8WTBtXCMIcQ7EoDPctRobi8qqWpbu\nSGLXyUz0Oi0PDgiif0cvtPJiQ4gGQ0K0EEI0AkWVxZzKO0NM7mkSL5/DqIwAOFk60s0zirD/dXXt\nDLZmrvR6Oq0Ob/uWeNu3pBfdAMgrLyDhf93zxMvn2J95hP2ZR7DUWRDRLJS2rhFEuoZhpb/3uq4X\nsq7w2do4sgvK8HKz44kR4Xi5ycYpQjQ0EqKFEKKBqqip4ETuaY5kHSfp8nl+XivDx96Ldm6RtHYN\nx9O2cZ4b62rtQs+WXenZsitGZSS56CKncq++SDiec4rjOacwaPW0cY0gqnl7wlyC0TfxCxSNRsWm\nwxdZvTeFWqNiYJQ3Y3v7Y9DrzF2aEOIGmvZvJCGEaGSMykh8wVkOXzrGqby4uvOb/R19ae/ehrau\nkTSzdjZzlaal1WgJdPIj0MmP0YEPkFmaxcnc0xzNPsGxnBiO5cRga7Chg3tbuntG4ePgZe6STS6/\nqIIv18eRmFaIo50Fjz8QToSfi7nLEkL8BgnRQgjRAFyuKOTgpZ84kPkTlysLAXC3dqVz8w5ENW+P\nq3UzM1dYPzQaDS3tPGlp58nQVgNILU7np6wTHM05yd6Mg+zNOIi3XQu6t+hCVPN2WOutzV3yHTsc\nl82CLYmUV9bQMdiNR4aEYmct54UL0dBJiBZCCDO52nVOYm/GAU7nJaBQWOos6NmiC91aROFr790o\nT9UwFY1Gg6+DN74O3owOfID4grMcyDxCbH48S8+uYtW59XTwaEtfr5542bcwd7m3rKyihsVbEzl4\nJhtLg45pQ0Lp2cbznv6eC9GYSIgWQoh6VlVbxeGs4+xM20d2WQ5w9Tznni260NGjHVZ6SzNX2PDo\ntDoiXcOIdA2jqPIKhy4d5UDmEQ5dOsqhS0cJdgqgr3dPIl3DGsUa1GfTCvliXRz5Vyrw83TgieHh\neLjYmLssIcQtMEuIHj16NHZ2V6809vb25k9/+hOzZs1Cq9USFBTEnDlz5JW4EKLJKawsYk/6QfZl\nHqK0ugydRkfn5h3o69WzSZ7ne7c4WjowqFU/7vftQ1x+IjvT9pFwOYmzhedxtW5GH68edPPs1CBX\n9qipNbJ2/wU2HLwAwPDurRjeoxV6XcMP/kKIa9V7iK6srARg4cKFdbc9+eSTvPjii0RFRTFnzhy2\nb9/OgAED6rs0IYS4K9KLM9mWuofjOTHUqlpsDTYM9u1HL6/uOFo6mLu8Rkur0dZ1pzNLstiZto8j\n2cf5MWkt65Oj6d4iiv4+vXCydDR3qQBkXy7j87VxpFy6gqujFTOGhxPk5WTusoQQt6neQ3RCQgLl\n5eU89thj1NTU8MILLxAXF0dUVBQAvXr1Yv/+/RKihRCN3oUrqWy+sJ3YvHgAmtu409e7J52bd8BC\nZ2Hm6pqWFnbNmRw2jhEBg9mfeZg96QfYkbaXPekH6NoiioE+fWhmbb7VLg6ezmJBdCKVVbV0i2jO\n5PuDsbGSMyqFaMzq/RlsbW3NY489xvjx47lw4QKPP/74Nffb2NhQXHz3dtQSQoi7LelyMpsvbCfh\nchIA/o6tGOTbl/BmIY3ifN3GzN7CjsGt+jPApzeHs44RfXEX+zIOcSDzCFEe7Rno25fmtu71Vk9F\nVQ2Los9y4HQWVhY6nhgeTteI5vU2vhDi7tEopVR9DlhVVYVSCkvLqxfOjBs3jvj4eM6cubr967Zt\n2zh48CCzZ8+uz7KEEOKOKKWIzU5gRdxG4nPPAdDaI4Qx4UMJdwuS6zzMpNZYy8G0Y6yM20z6lUto\n0NDFuz1jwobQyvnunod+Lr2Qfy08SmZeKUHeTrz8cCc8XRvejpJCiNtT753olStXkpiYyJw5c8jO\nzqa0tJQePXpw5MgROnfuzJ49e+jWrdvvHic3V7rVpuLmZi/zaSIyl6bVWObz7OVzrD2/hZQrFwGI\nbBbKoFb98Xf0BSAvr8Sc5dVpLPNpaiE2YbzaMYRTeXFsubCdQ2nHOZR2nPbubRjmN/C2OtO/NZdK\nKbYeTWf5znPUGhWDu/gwppc/emW8J+f/j7hXfzbvFplP03Fzs7/pffUeoseNG8df/vIXJk+eDMA7\n77yDk5MTs2fPprq6moCAAAYPHlzfZQkhxC1LKUplXfJmEi9f7Ty3dY1gsF9/fOxlpY2GRqvR0s4t\nkrauEcQVnGVDcjQnck5xMieWzs07MNRvgEk2tLlSVsXXG+I5dT4fBxsDjw8LJ9L/3tgoR4h7Tb2f\nzmEq8grLdOQVq+nIXJpWQ53PjJJLrEveQmxeHABhLsEM9x+Er4O3mSv7bQ11Ps1BKcWpvDjWJ28h\nszQLrUZL9xadGdKq/x9azeNGcxl/oYDP18dRVFJFRCtnHh8WjqOdrPn9R8jPpmnJfJpOg+pECyFE\nY5VTlseGlGiOZcegUAQ4tmK4/2CCnP3NXZq4RRqNhrZuEbR2DeN4zik2JEezL+MQhy4dpVfLbgxu\n1R9bwx/b/KSm1siafSlsPHgRrVbD+D4BDOrig1bOgxeiSZMQLYQQv6OkqpRNF7axJ+MgRmXE274l\nw/0HE+4SLBcMNnJajZZOHu1o79aaw1nH2ZiylR1pezl46SiDW/Wjd8vuGHSGm35+XmE5n607w/mM\nq2s//2lkBAEtGsa61EKIu0tCtBBC3ER1bTW70vez5eIOymsqcLVuxsiAIbR3ay3huYnRaXV0bxFF\nVPP27Ek/wOYL21l1bgO70w8w3H8QnTzaXbc84bHEXL7eGE95ZQ1dwj2YMjBE1n4W4h4iz3YhhPgV\nozJyNPska89v5nJlIbZ6G8YFjeC+ll3Ra+XXZlNm0Orp79OLbp6d2HxxB7vT9vNd3BJ2pu1ldOAD\nBDsHUlNr5IvVsazdm4yFXsu0IaH0bOMpL6yEuMfIXwMhhPiFpMvnWXFuPWnFGei1egb49GaQbz9s\nDNbmLk3UIxuDDWMCh9G7ZXfWJm/maPZJ/nPic4IdgilIDCAtTeHZzIanRkXi5WZn7nKFEGYgIVoI\nIYD88susOreeE7mxAER5tGe4/2CaWTubuTJhTs2sXZgW8RD9vO9jYexqzl45i/JIws8jkpndR+Ns\nIwFaiHuVhGghxD2tqraK6Iu72Ja6i2pjDX4OPowLHkErBx9zlyYaiJpaI4ePVpJ8JBwLVzccAs+R\nZYzlvWMpjAgYTFfPTrKduxD3IAnRQoh7klKKYzkxrDq3gcLKIhwtHBgVOPSGF5CJe1fBlQrmrznN\n+YwreLjY8vSILjRvZsmhgsOsPLOJxQk/sifjIOOCRhDo5GfucoUQ9UhCtBDinpNWnMHys2s5X5SC\nXqNjoG9fBvn2w0ovG2OI/3PqfB5fro+npLyazmHuPDI4FGvLq382x4QPobVDa1af28RP2cf59/H5\ndPJox6iAoThbOZm5ciFEfZAQLYS4ZxRXlbAueQsHMo+gULR1jWB04DDcbGRbZvF/ao1GVu5JZtOh\nVPQ6LVMHhdC7XYvrVt9wsnTk0YhJ9PLqxo9n13I0+yQxuWcY6NuHAT59sPiN9aWFEI2fhGghRJNn\nVEb2ZRxmbfJmymvKaW7rwfigEYS6BJm7NNHAXC6u5LM1pzmbXoS7szVPjYzEt/nNt/0F8Hf05aVO\nz3A46zhrzm9kQ8pWDl86xvjgkUS6htVT5UKI+iYhWgjRpF28ksaSxFWkFqdjpbNiXNAIerXshk6r\nM3dpooGJv3iZT9ecprismk6h7kwb8n+nb/werUZLN89OtHOLZGPKVnal72f+qW9o6xbJuKDhuFjJ\nKi9CNDUSooUQTVJZdRlrk7ewL+MQCkWURwdGBz6Ao+VvdxXFvUcpxeYjqfy46zxajYaHBgTRv6PX\nbW2eYq23YmzQcLp6dmJp4ipick8Tn5/IkFYD6Odzn2zWI0QTIs9mIUSTopTicNYxVp3bQEl1Kc1t\n3JkYMppg5wBzlyYaoPLKGr7eEM+xs7k42Vnw9KjWBHo53vFxW9p58kKHpziSdZyV59azJnkTh7KO\nMSlkFMHOgSaoXAhhbhKihRBNRmZJFksSV3G+KAULrYGRAUPo5y3dP3FjmXmlfLIqlkv5ZYR4O/Hk\nyAgc7Uy3QotGo6GLZ0dau4axLnkLezMO8Z8Tn9PJox1jAofhaOlgsrGEEPVP/rIIIRq9ippKNl7Y\nys60fRiVUc5DFb/rSHw232xMoLK6lkGdvRnXJwCd9u6sD25jsGFiyGi6eUax5Owqjmaf5HRePMP9\nB9PLq5usSy5EIyUhWgjRqJ3Oi2dJ4iouVxbSzMqFCbIigvgNtUYjy3eeJ/qnNCwNOp4aFUlUqHu9\njO3j4MVLHZ/hQOYR1pzfxPKkNRzJPs5DIWPxsm9RLzUIIUxHQrQQolEqqizmx6Q1HM85hVajZZBv\nPwa36i9r84qbKiqp5NM1Z0hMK6S5iw0zx7Smhattvdag1Wjp2bIrbd0i+THp6trS7x39iP7evRjq\nNwALnUW91iOEuH0SooUQjYpRGTmQeYTV5zdSXlOBn4MvD4WOpYVdc3OXJhqwc+lF/Hd1LIUlVXQM\ncWP60LA/vHzd3WBvYce0iIfo0rwjSxJXsTV1F8dzTjEpZDThzULMVpcQ4o+TEC2EaDQulWbzfcIK\nkosuYKWzYmLwaHq27CLnlIqbUkqx43gGS7YnYVSKCX0DGdTZ+7aWr7sbwpuF8NcuL7IxZRvb0/bw\nScxXdPJox7igEdhb2Jm7PCHEb5AQLYRo8Kprq9lycSfRF3dSq2pp5xbJ+OCROFne+VJkoumqqq5l\nwZZEDpzOwt7GwJMjIwnzbXgXm1roLBgVOJROHu34PnEFR7NPEpefyOjAB+jmGdVgAr8Q4loSooUQ\nDdrZy+f5IXEFOWV5OFk6MiF4FG3dIsxdlmjgCq5U8PHKWC5kFePn6cAzoyNxcbAyd1m/ycu+BS91\nfIY9GQdZd34zixN+5HDWMR4MGUtz2/q5+FEI8cdJiBZCNEil1WX8eGQ1O1MOoEFDH68eDPcfhJW+\nYQchYX5J6YV8suo0V0qr6BHZnKmDQzDoG8c271qNlj5ePWjrGsHypLXE5J7mnSP/ZmCrfgzy7Str\nngvRgMizUQjR4BzPOcWyxNUUV5fQ0s6Th0LH0srBx9xliUZg18kMFkefRSl4sH8QAzrd3vbd5uZs\n5cQTracSk3uaZWfXsDFlKydyTvFw2Hh5LgjRQEiIFkI0GEWVV1h2djUnc0+j1+p5qM0ourp0Qadt\nHF1EYT41tUa+35bErhMZ2FkbeGpkBGGtXMxd1h1r6xZJsHMga85vYm/GQd4/+gl9vXsy3H+QLIcn\nhJlJiBZCmJ1SikNZx1iRtI7ymnICHFsxOWw8kb7+5OYWm7s80cAVlVYxf1UsZ9OL8HKz49mxrXFz\nsjZ3WSZjrbdiUshoOrq3ZXHCcnak7eVUXhyTQ8cR7Bxg7vKEuGdJiBZCmFV++WV+SFxBfMFZLHUW\nTAgexX0tu8qydeIPuZB1hXkrYrlcXEmnUHceGxqGpUXTfOciyNmf1zq/yIaUaLan7uE/Jz6jR4su\njA4cirW+6bxoEKKxkBAthDALozKyN+MQa85vpLK2ijCXYB4MGUsz64a3BJlomA6dyeKbTQnU1BgZ\n29ufoV19G+X5z7fCQmdgdOADdHBvw6L45ezPPMyZ/AQmhYymtWu4ucsT4p4iIVoIUe+yy3JZHP8j\n54tSsNFbMyVsAl2ad2zyAUiYhlEpVu1JZsPBi1hb6nh6VBvaBrqau6x65evgzatRzxF9cSebL+zg\n01Pf0smjHeODRmJnUb9bmQtxr5IQLYSoN7XGWnak7WVDSjTVxhrauUUyIXg0jpb25i5NNBKVVbV8\nsT6O42dzcXey5rlxbWjhem+GRr1Wz1C/+2nn1ppFCcs5mn2ShIIkxgePpKN7W3lRKsRdJiFaCFEv\nMkousSh+OanF6dgb7JgaPooO7m3MXZZoRAquVPDRj6dIzSkh1MeJp0e3xs7aYO6yzK6FXXNe6vgM\nu9L2sTZ5C9+c+Z6j2SeZFDJadvUU4i6SEC2EuKtqjDVsvrCDLRd3YFRGujTvyJigYdgZ7s3uobg9\n5zOLmLciliulVfRq24KHBwaj18nFpz/TarT08+lFa9cIvk/4kdi8OM4VJjM68AG6e3aWrrQQd4GE\naCHEXZNanM7CuGVklmbhbOnEg6FjiGgWau6yRCNzKC6LrzckUGs0NuoNVOqDm00znmv/BAcyj7Dy\n3Aa+T1jBiZxYHgodi4uVXLQrhClJiBZCmFyNsYYtF3aw+X/d554tuzIqYCjWsmW3uAVGpVi9N4X1\nBy5gbanj2ZFtae3fzNxlNXgajYYeLbsQ3iyE7xNXEJefyNzDHzAmaJh0pYUwIQnRQgiTyii5xIK4\npaSXZOJs6cTDYeMJdQkyd1mikamsquXLDXEcS8zFzcmK58a1peU9egHh7XK2cuLpNtM5dOkoPyat\nq+tKTw4dh7OVk7nLE6LRkxAthDCJWmMtW1N3szFlK7Wqlu6eUYwJGiabQIhbdrm4ko9+PMXF7GJC\nvJ14enQk9jayxfXt0Gg0dGsRRahLEN8nrCCuIJG/H/6AsUHD6OYZJV1pIe6AhGghxB3LKs1mQdwy\nLhan4WjhwEOhY4l0DTN3WaIRSs0u5j8/nuJycSX3tfFkyqAQuYDQBJytnHi67XQOXjrKiqR1LE74\nkeM5p6QrLcQdkBAthLhtRmVkR9pe1iVvocZYQ5RHByYEj8DGYGPu0kQjdOp8PvPXnKayqpbxfQIY\n3MVHOqUmpNFo6N4iijDpSgthEhKihRC3Jacsl4Xxy0kuuoC9wY4HI8bQ1i3S3GWJRmrn8XQWb01C\np9Pw9KhIOoW6m7ukJutGXemfV/CQrrQQf5yEaCHELTEqI7vTD7Dm/CaqjdV0cG/DxODRstWwuC1G\npVi+8xxbjqRhb2PgubFtCGgpG4Tcbb/sSi9O+FG60kLcBgnRQog/LK+8gEXxy0gqTMbWYMOUsAl0\n9Ghr7rJEI1VZXcsX665u4e3ZzIbnx7fFzUkuRK1PzlZOPNP2MQ5e+okVSeulKy3ELZAQLYT4XUop\n9mUeZtW59VTWVtHGNYIHQ8fgYGFv7tJEI1VUUslHK06RcqmYUB8nnhnTGlsr2cLbHK52pTsT5hL8\nq670cLp5dpKutBA3ISFaCPGbLlcUsih+OQmXk7DWW/NI+CSiPNrLH1Zx2zJyS/hweQz5Vyrp0bo5\njwwOlRU4GoCfu9IHLh1hZdJ6Fics50TuKR4Kka60EDciIVoIcUNKqbpNGipqKwhvFsLk0HE4Wcr5\nquL2xV8o4ONVsZRX1jKmlz8PdPOVF2QNiEajoUeLLoS5BF9dwSM/kblHPmBc0Ai6NO8o3yshfkFC\ntBDiOoWVRfyQsJLT+fFY6SyZHDpOLjYSd+zQmSy+2hCPRgNPjAina3hzc5ckbsLFyvmarvTC+GWc\nyDnFg6Fj5YW0EP8jIVoIUUcpxU/ZJ1h+dg1lNeWEOgcxOWwcLlbO5i5NNGJKKTYfTmX5rvNYW+p5\nbmxrQnzkZ6qh+7krHeoczOKE5ZzOT+Dvhz9gQvBIOaVLCCRECyH+p7iqhB8SVxKTexoLnQUTg0dz\nX8uu8odS3BGjUfHD9iS2H0vH2d6SFya0xcvNztxliVvQzNqZZ9vNYF/mIVae28B3cUs4kRPLpJAx\nOFrKxcXi3iUhWgjB8ZxTLE1cRUl1KYFOfkwJm4CrdTNzlyUauar/LWF37GwuXm62PD++LS4OVuYu\nS9wGjUbDfS27EeYSwqL4ZZzKO8P5whQmhIyio3tbebEt7kkSooW4h5VUl7IscTXHcmIwaPWMCxpB\nb6/uaDWyUoK4MyXl1Xy04hTn0osI9XFi5pg22FjJn5zGztXahefaP8GejIOsObeRb858/7+u9Gjs\nLeQdBnFvkd9oQtyjTuWe4fvEFRRXleDn4MuU8Al42LiZuyzRBOQVlvPv5TFcyi+jc5g7jz0QjkEv\nL8yaCq1GSx+vHkS4hLIwfhknc2M5V5jMxJDRdHBvY+7yhKg3EqKFuMeUVZfxY9I6DmcdQ6/RMSpg\nKP19ekn3WZhEanYx/14WQ1FpFYM7+zCubwBaeau/SXKzacbzHf7E7vQDrDm/ia9OL+Kke1smBI/C\nzsLW3OUJcddJiBbiHnImP5HF8cspqrqCj70XU8Mn4mnrYe6yRBNxJuXqGtBVVbU82D+I+6O8zV2S\nuMu0Gi19vXsS3uzqudLHcmI4e/k8k0LH0M4t0tzlCXFXSYgW4h5QXlPByqT1HLh0BJ1GxzC/QQz0\n7YNOqzN3aaKJOHD6Et9sTECj0fDUqEg6hbqbuyRRjzxs3Hihw1PsTNvH2uTNfBG7gE4e7RgfPBI7\ng3SlRdMkIVqIJi6hIIlF8cu5XFlISztPpoZNxMu+hbnLEk2EUoqNhy6yYncyNpZ6npU1oO9ZWo2W\n/j69iGh29Vzpo9knOXv5PA+GjKGNW4S5yxPC5CREC9FEVdRUsub8RvZkHESr0TKkVX8Gt+qPXitP\ne2EaRqVYsj2JbUfTcXGw5IXxbWkpa0Df85rbuvNih6fYkbaX9clb+Cz2Ozo378D4oBHYGGzMXZ4Q\nJiN/TYVogs4VprAwbil5FQU0t/VgatgEfB3k/FRhOjW1Rr7eGM+hM9m0cLXlzxPb4Wxvae6yRAOh\n0+q437cPka5hLIhbypGs4yQWnOOh0LFEuoaZuzwhTEJCtBBNSFVtNeuSN7MzbR8A9/v04QG/+zHo\nDGauTDQllVW1/Hf1aWKT8wlo6cD/G9cWO2v5GRPX87T14KWOz7A1dTcbU7Yy/9Q3dPXsxLig4Vjr\nrc1dnhB3REK0EE1EStFFFsQvJacsD3cbV6aETcTf0dfcZYkmpqS8mv/8GMP5jCu09m/G06MisbSQ\nC1TFzem0Oga36kdr1zAWxi3l0KWjJBQkMTl0HOHNQsxdnhC3TUK0EI1ctbGGDcnRbEvdDUBf756M\n8B+Mhc7CzJWJpuZycSUfLD1JRl4pXSM8mD40DL1O1hcXf0xLO09e7vQsWy7uYNOF7XwS8xU9WnRm\ndOAwwN7c5QlxyyREC9GIpV5JZ0H8Ui6VZuNq5cLDYRMIcvY3d1miCbqUX8oHS0+Sf6WSAZ28mNQ/\nSDZREbdMp9Ux1O9+WrtGsDB+KfszjxCXf5Znuk7FU+dl7vKEuCUSooVohGqMNWy+sJ0tF3diVEZ6\ntezGyIChWOnlwi5heimXrvDvZTGUlFczppc/D3TzRSMBWtwBb/sWvNLpWTZf2MGWizv4++6PuK9l\nN0bJ7zHRiEiIFqKRSSvOYGH8MjJKLuFs6cTDYeMJdQkyd1miiTpzoYCPV8ZSVV3LI4ND6N2upblL\nEk2EXqtnmP9A2riG833Sj+zNOEhcfgIPh40n2DnQ3OUJ8bskRAvRSFztPl/t2hiVse5cQmu9lblL\nE03UTwk5fLHuDABPj4qkY4jsQihMz8fBi3fvn8WCn1YTfXEn/znxOb29ujMyYCiWcm2HaMAkRAvR\nCKQVZ7Iwfmld93ly6DjCmgWbuyzRhO08kcGiLYlYWuh4dmwbwnxlF0Jx9xh0BkYEDKatWwQL4pay\nO/0AZ/ISmBI+kUAnP3OXJ8QNSYgWogGrMdaw5cIONkv3WdQTpRTrD15k1Z5k7G0MvDihHb7NZeUE\nUT98HbyZFfX/2JCylW2pu/nw+Kf08e4hKw6JBklCtBANVHpxJgv+1312snSUNVXFXaeUYsXuZDYe\nukgzBytemtQODxfZplnUL4POwKjAobR1i2Bh/DJ2pu3jTF4CD4dNIMCplbnLE6KOhGghGpgaYw1b\nLu5k84XtGJWR7p6dGRP0gOzuJe4qo1L8sDWJ7cfT8XCx4eVJ7XBxkHc8hPn4OfoyK+p51idvYUfa\nXv59fD79vO9jmP8gLGQXVtEASIgWogE5X3iB7xNXkFWaLd1nUW+MRsW3mxLYF3uJlm62vDSpPY62\n8ta5MD8LnYExQcNo6xbJwvilbE/bw+n8eKaETcBPdmQVZtYgQrTRaOSNN97g7NmzGAwG5s6di4+P\nj7nLEqLelNeUs+b8ZvZmHESDhl4tuzEiYLB0n8VdV1Nr5Mv1cRyJz6FVc3tenNgOO2vp8omGJcCp\nFa91foG1yZvZlbaf/+/Yfxng05sH/O7HIF1pYSYNIkRv27aN6upqlixZQkxMDO+++y7//e9/zV2W\nEHedUorjOTGsSFpHUVUxnrYePBQ6Fn/HVuYuTdwDqmtqmb/6DCfP5RHk5cjz49tibdkg/iwIcR0L\nnQXjgkbQ1jWSRfHL2Jq6i/+/vfuOr7q++///OCc5mSd7h5AdMiFhyUYRFNl72FprratuW6/Oqy1e\nl0Wv/pyX1VrbalVQIWxkKMgeAhJCCGRAgEzIIgESMs853z9a+VUvRZETTsbz/k9vCRieefWTz3nm\ncz6f9/twTS6z4qeQFpjs6HjSA3WKs2VWVhajRo0CID09ndzcXAcnEul4p86XsPz4Wk5dKMbZ4MTk\nmPHcEnUjzsZO8WMp3VxLq4X/XZ5DXnEdqdF+PDyzH64uTo6OJfKNEvxi+fWQn7KmaAPby/bw55y3\nSPFPZFbCZEI9QxwdT3qQTvFq3dDQgNlsvvyxk5MTVqsVo9HowFQiHaO2qY41JzfwWWU2ABlBfZke\nN5EgjwAHJ5Oe4lJzOy8tO8yJsvP0TwjkgWlpmJx1vpWuw9XJhTl9pjEifAjLjq/h2LkC8vcf58Ze\nwwg6B9YAACAASURBVLkteixmF09HR5QeoFOUaLPZTGNj4+WPv02BDgrSuqX2pHnaz9fNsqbxHGvy\nN/HJyV20WduJ84vizv6zSA7Slt1XomPTvlzcXVi46CAnys4zun8vnrh9AM5OKtDfhY5N+/ou8wwK\n8qJf9E/5rCKHd7KXs7VsF3vOHuDWuFFMSRyHr7tPByTtGnR8djyDzWazOTrExx9/zNatW3nmmWfI\nzs7mtdde44033rjif1NdffE6pev+goK8NE87+apZVl2q5uPibew7exCrzUqAmx+TY8czKCQDo0Hl\n5Up0bNqXk6uJX7+6i/KaRkanh3Hn+CSMRoOjY3VJOjbtyx7zbLO2s6v8UzYVb+N86wWcjc6MCL+B\ncZE34u/Ws3bc1PFpP1f6ZaRTXIm+5ZZb2L17N/PnzwfgmWeecXAikWvXZm1nacEq9p45gA0bIR5B\njI+6mUEhGTgZde+pXF+155t5IXMfZ2oaGTcogtvHJmAwqEBL92EyOjOm90hG9hrKp2c+Y1PxVraX\n7WF3+T5ujRrDrVFjtJKH2FWnuBL9Xeg3LPvRb6z28/ksWy1t/DX3HY7VFhDuGcqEmHFkBKXpyvNV\n0rFpH5XnLvHcB4eovdDC5OFRzBgVqwJ9jXRs2ldHzNNitbC/8hAfnvyI+pbzBLsHck/fH9DLHGbX\nf6cz0vFpP1e6Eq1XdBE7a7W08uectzhWW0BKQCL/MegRBgT3U4EWhyivbuDZxVnUXmjhzonJzBwd\npwItPYKT0YlhYYP47ZCfMSZiJFVNNfw9dxGtllZHR5NuQq/qInZktVl5J28phXUnSA9M5b6+P9T2\ntOIwp89e4H/eO8T5xla+Ny6BOWP7ODqSyHXn5uzG7D5TGdN7JJWXqll5Yp2jI0k3oRItYkfLj67n\nUFUOcT4x3J32fUxa81kc5HhZPf/f+4dobGrjRxOSGDeot6MjiTjUtNgJhHmGsKN8L7k1eY6OI92A\nSrSIneytOEDm0XUEuPlxb98faNMUcZhjp8/x/JJsWtus3Dc1lVHp4Y6OJOJwJicTd6XcjrPBib8f\nXUx2tTZ2k2ujEi1yjdqt7SwtXM2i/EzcTW480O9HeLmYv/k/FOkA2SdqeCkzB6vVxoMz0hiSoh3c\nRD4X4RXO3WnfB5uNvx55hw2nNmO1WR0dS7oolWiRa1B9qZaXsl5ne9luwjxDeOaWXxJuDnV0LOmh\n9udV8uqKIxiN8NjsdPonBDk6kkinkx6Uxs8GPoSfqy8fnvqYP2X/jfqW846OJV2QSrTId2Cz2dhZ\n/ikLD7zIqQslDArJ4MmBDxPupat+4hi7cs7wlzVHMTkb+encDFJj/B0dSaTTivAK5xeDHyUtIJmC\nuhMs3Peibu+Qq6abNkWu0vmWCyzOX8bR2nzcnd35UcrtDArt7+hY0oN9crCMxZsK8XRz5qfzMogJ\n83Z0JJFOz8vFzAP97mJn+aesOLGWvx55hxHhNzArYSquTi6OjiddgEq0yFXIqsrhg4IVNLZdItm/\nD3ckz8HX1cfRsaQH2/BpMZnbivD2dOHJeRlEBOt+fJFvy2AwMDpiGH38Ynnz6HvsrthPYV0Rd6bM\nI9Yn2tHxpJNTiRb5Fi61NbG0cBUHKg9hMpqY22c6o3sN06YV4jA2m41VO0+xds9p/L1deXJ+f0L9\nPRwdS6RLCvUM4T8GPcLakxvZUrKTFw7+mZsjRzElZry2CpevpRIt8g3yzx3n3byl1LecJ8q7Nz9M\nnkeIZ7CjY0kPZrPZWLLlBB8fKCXY150nb88g0Mfd0bFEujST0ZmZ8ZPpF5jKu3lL+aRkB0dr8rkz\nZR5R3lpnXf4vlWiRr9FqaWVV0Qa2l+3GaDAyKeYWxkfdjJPRydHRpAezWm2881EBOw5XEB7oyZPz\nM/A1uzo6lki3Ee8bw69veILVRevZXraH5w6+yq1RY5gQPVbr/8sX6GgQ+QrFF0p5+9gHVF6qJsQj\nmB/qSoR0Aharlb+vy+PTo5VEhpj52bwMvDz0AJSIvbk6uTC3z3TSA9NYlJ/JxtOfcKTmGHcmzyPC\nS5sXyT+pRIv8m3ZrOxtPb+Gj4i1YbVZuihjBtLiJuOieOHGwtnYrf1lzlKzCauJ6efPEnHQ83HRc\ninSkRP94fn3DE6w88SG7K/bzP5/9LxOjx3Fr1Bi9Kykq0SKfK7tYwbt5SylrqMDX1YcfJM8lyT/B\n0bFEaGmz8OqKI+SeOkdylB+PzOqLm4tO3yLXg7uzG99Lmk16UF/ey1/Gh6c+JqfmGHemzCPMU3sD\n9GQ6C0uPZ7Fa+Lh4GxtOb8ZiszAsbDCzEibj7qwHtcTxmlraeXlZDoWl9fSLC+DB6Wm4mHQFTOR6\nSw1I5Dc3PMGy42vZd/Ygzx54mckxtzI2cjRGg/au64lUoqVHq2g4y7t5Syi5WI6PizffS5pFWmCy\no2OJANDQ1MaLSw9z6swFBiUFc9+UFJyd9GIt4igeJg/uTJlHelAa7xcsZ1XRenJqjvKD5LkEewQ5\nOp5cZyrR0iNZbVY2l2xn3cmPabdZGBI6kNkJU/AwaZ1d6RwuNLby3AfZlFU3MCItlLsmJuFkVIEW\n6QzSg1KJ84lmaeEqDlYdZuH+l5gWN4EbI4brqnQPohItPU5lYxXv5i3l1IUSvFzM3J44i/SgVEfH\nErns3IVmnvsgm7PnLjFmQC++f0sfjNrYR6RTMbt4cnfa90mvTGNJ4UqWHV/D4epc7kieS6C7v6Pj\nyXWgEi09htVmZWvpLtae3EibtZ1BIRnM6TMNs8nT0dFELquqb+K59w9Rc76Z24ZEMuemOO2MKdKJ\nDQxJJ8EvlvfzV5BTc5SF+19gRvxkRoYP0c9uN6cSLT1C1aUaFuUtpej8acwmT36Ycjv9g/s6OpbI\nF5ypbeS5D7Kpu9jC9FExTBkerRdhkS7A28WL+/reyf6zWWQeX80HBSs4XJ3L95Nm4+fm6+h40kFU\noqVbs9qs7Cjby6qi9bRZ28gI6sv8xBl4uZgdHU3kC0oqL/L8kmwuXmpj3s3xjL8h0tGRROQqGAwG\nhoQNJNE/nsV5yzh2roCn973A7D5TGRo6UL8Qd0Mq0dJt1TSdY1HeUo7Xn8TT2YM7kucwMDhdJzLp\ndIoqzvPiksM0tbRz522J3JTRy9GRROQ78nX14cH0u9lzZj8rjn/IorylZFflcHvSLHxdfRwdT+xI\nJVq6HZvNxq6KT1lxYh2tllb6BqZwe+IsfFy9HB1N5P/IL67j5eU5tLVZuWdyCsPSQh0dSUSukcFg\nYET4EJL8+rAoP5Pc2nye3vc8M+OnMCxskC7mdBMq0dKtnGuuY3HeMvLrjuPu7M4PU+YzOKS/TljS\nKR05WcufVhzBarXxk+mpDEwMdnQkEbGjAHc/Hs24l90V+1h5Yh2L8zPJqjrM95Jm4e/m5+h4co1U\noqVbsNls7D3zGcuPr6XZ0kxqQBLf01tn0okdLKji9dVHMRoNPDq7H31jAxwdSUQ6gMFgYGSvoaQE\nJPJe/nLyzhXyh30vMD1+klbw6OJUoqXLq22q4/2Cf56Y3JzcuCNpDkP1dpl0Yntzz/L3dXmYTEYe\nn92PxEhdkRLp7vzd/Hgo/cd8euYzlp9YywcFK8iqyuH7SbO1rnQXpRItXZbVZmVX+T5WFa2jxdJK\nin8ityfN1Ftk0qltyy7n3Y0FuLs688S8dOLC9W6JSE9hMBgYFj6Y5IA+vJ+/gtzaPP6w/wWmxU1g\ndK9h2u2wi1GJli6p+lIti/MzOV5/Endnd36QPJchWkJIOrmP95fwwZYTeHmY+Nm8DCJD9LCrSE/k\n6+rDA/3u4kDlITILV5NZuJqsyhzuSJ5NsEeQo+PJt6QSLV2K1WZlW9lu1hRtpM3aRr/AVOYnzsDH\n1dvR0US+ls1mY+2e06zaeQpfswv/cXt/wgK0U6ZIT2YwGLghdACJfgksKVzJ4epcFu5/iSmx4xnT\ne6SuSncBKtHSZZxtrGJRXianLhRjNnnyg+Q5DNC6z9LJ2Ww2lm0rYsO+EgJ93Hjy9v4E+7o7OpaI\ndBI+rl7cm/YDsqpyWFq4ihUnPuRQ1RHuSJ5DqKdW7OnMVKKl07NYLXxSuoN1pzbRbm1nYHA6c/pM\n066D0ulZbTYWbypka1Y5of4ePDk/A39vN0fHEpFOxmAwMDAknT5+cWQWruZg1WGeOfASk2JuYWzv\n0TgZnRwdUb6CSrR0auUNZ1iUt5SSi+V4uZiZnziTjKA0R8cS+UYWq5V/bMhn95GzRASZeXJ+Bt6e\nLo6OJSKdmJeLmbvTvs+A6nQ+KFjB6qINHKo6wg+S5xJu1kZMnY1KtHRK7dZ2Pireykent2CxWRgS\nOpBZCVPwNHk4OprIN2q3WHljzVE+K6gmJsybJ+amY3Y3OTqWiHQRGUFpxPvGsKxwLQcqs3j2wMvc\nGjWG8dE3YzKqunUW+n9COp2SC2Usys+kvOEMvq4+3J44k7TAZEfHEvlWWtosvLryCLknz5HY25dH\nZ/fD3VWnWhG5OmaTJ3elzmdgSD8+KFjJhtObyarK4XtJs4j3jXF0PEElWjqRVksr605tYkvpTqw2\nKyPChzAjfiLuznoIS7qGppZ2Xs48TGHZefrFBfDg9DRcTLqXUUS+u76BKcT7xrL25EZ2lO3lxaw/\nM7LXUKbHTdDro4OpREunkH/uOO/nL6em+RyBbv7cnjSLJP8ER8cS+dYamtp4YUk2p89eZFBSMPdN\nScHZSUtUici1c3d2Y26f6QwK6c/i/GXsKv+UI9XHmJc4g/SgVEfH67FUosWhGtoaWXH8Q/adPYjR\nYGRc5I1MirkFFyc9gCVdR31DC89/kE15TSMj+4Vx121JGI1aelFE7CvWJ4pfDX6Mj//1zNAbR94m\nI6gvc/tM034JDqASLQ5hs9n4rDKbZcfX0NDWSG9zON9Lnk2kV4Sjo4lclZr6Jp77IJuq+ibGDYpg\n/tgEjFq7XEQ6iLPRmYkxtzAguB+L85eTXX2EgrrjzIibxLDwwdqk5TpSiZbrrrapjg8KV3CstgCT\n0cSM+EmMiRipdTClyzlT28hzH2RTd7GFqSOimTYyRpv/iMh1EeoZwhMDHmB3xT5WnVjPewXL2V+Z\nxfcSZxEU5OXoeD2CSrRcN1able1le1hzciOtllaS/BK4PWkmge4Bjo4mctWKz17khaXZXLzUxtwx\n8dw2JNLRkUSkhzEajIzqNYy+gSksKVhFTs1RFh54idmXJjIsYCjOWg6vQ2m6cl2UN5xhcf4yii+U\n4unswfzkGdwQOkBX7aRLOlF2nhczD9Pc0s6dtyVyU0YvR0cSkR7M19WH+/reSXZ1LksLV/HBkTXs\n8NzP95JmE+OjX/A7ikq0dKhWSysbTn/C5pLtWG1WBoVkMDthqrbsli7r6OlzvLI8h/Z2G/dOTWFo\ninYRExHHMxgM9A/uS6JfHBvLN/PJyV08f/BVRvYaytTY2/AwaTk8e1OJlg6TW5PH0sJV1DbX4efq\ny+1JM0kNSHJ0LJHv7FBhNX9enQsYeGhmGv0TghwdSUTkCzxMHtw/+Pv09Unlg4KV7CzfS3bVEWYm\nTGZwSH+9A2xHKtFid3XN9WQeX8Ph6lyMBiO3RN7EhJhxuGrZOunC9h49y98/zMPkbOSRWX1JifZ3\ndCQRka+V4BfHr254nE9KdrDh9Ce8fewD9lYcYF7iDEI9gx0dr1tQiRa7sVgtbC3bxbpTm2i1tBLn\nE838xJmEm/V2t3Rt2w6V8+5HBbi7OvP43HTie/k4OpKIyDdyNjozPvpmBoVksLRwNbm1eSzc/yLj\nIm/ktuibtSfDNVKJFrs4eb6YDwpWUN5wBk+TB3MTpjEkbKDWq5QuzWazsf7TYpZvP4mXh4mfzcsg\nMkRLR4lI1xLg7s8D/e4ip+YomYVr+Kh4C59VHmJun+mkBSY7Ol6XpRIt16Sx7RKri9azu2I/AMPD\nBjMtfiJmk6eDk4lcG6vNxtItJ/j4QCn+3q78bF4GYQE6rkWkazIYDKQHpZHol8CG05vZUrqTP+e8\nRUZQGrMTpuLn5uvoiF2OSrR8JzabjX1nD7LyxDoa2hoJ9wxlfuJM4nyjHR1N5JpZrFb+sT6f3bln\nCQvw4GfzMvD3dnN0LBGRa+bm7MqM+EkMCR3IBwUryK7O5di5QibF3KKNz66SSrRctYqGsywpXMmJ\n+lO4GE1Mj5vIzb1H6QdPuoXWNguvrz5K9okaYsK8eWJuOmZ3k6NjiYjYVbg5lMcHPMC+MwdZWbSO\nlSfW8emZz5iTMI1E/3hHx+sSVKLlW7vUdokPT21iZ/lerDYr6YGpzO4zFX83P0dHE7GLS83tvLI8\nh4LSelKi/Xh4Zl/cXHSaFJHuyWgwMix8MH2DUlhTtJE9Ffv53+w3yAjqy8z4SQS4axWiK9Grg3wj\nq83K3jMHWFO0kYa2RoLcA5idMFUPI0i3cr6xlReXZFNS1cCgxCDunZKKyVkPxopI92c2efK9pFmM\n7DWEzMLVZFcf4WhtHrdE3sQtUTdpFY+voRItV3TqfDFLC1dRcrEcFycXpsVNYEzvUZiMOnSk+6ip\nb+K5JdlU1TVxU0Y4d9yaiNGoDQlEpGeJ9IrgpwMe5EDlIVadWMf605vZe+YzZiVMISMoTRu1fIma\nkHyl8y0XWV20nn1nDwIwOKQ/0+Mn4uuq9XGleymvbuD5JdnUN7QyeXgUM0bF6oVCRHosg8HADaED\n6BeYwsbTW9hSupO/5b5LH7945iRM1d4P/0YlWr6g3drOtrLdbDi1mWZLCxHmcOb0mUa8b4yjo4nY\nXVH5eV7KPExjczvzb47n1hsiHR1JRKRTcHN2Y3r8RIaHD2b58bXk1ubzzIGXGNVrGBOjx2F20ZKf\nKtEC/HPJupyao6w6sZ6qpho8nT2YnziDEeFDtGGKdEu5J2v508ojtLfb+PGkZEb0DXN0JBGRTifY\nI4ifpN9Nbk0ey4+vZXvZbvafPcj4qJu5KWIEJqeeu3qRSrRQdK6Yvx9awon6UxgNRkb3Gs6k2Fu0\nYYp0W/vzKvnr2mMYjQYentmXjIRAR0cSEenU0gKTSfJPYGf5p2w4tZlVRevZWb6XqXETGBic3iNv\ng1OJ7sHONdexpmgjByoPAdA3MJnpcZMI9Qx2cDKRjvPxgVI++OQ47q5OPDqrH4mRWqJRROTbcDY6\nM6b3SIaEDmDj6S1sL9vNW0ffY0vpTmbGT+5xt36qRPdATe3NfFy8la2lO2mzthPj25upMRPo46fF\n1aX7stpsLNtaxMb9JfiYXfjp3Ax6B5sdHUtEpMvxMHkwM2EyoyOGsaZoIwerDvNi1p/JCEpjWtwE\ngj2CHB3xulCJ7kEsVgu7K/az7tTHNLQ14uvqw9TY25jYdzS1NY2OjifSYdotVt5cn8enRysJC/Dg\nibnpBPq4OzqWiEiXFugewN1p32fM+ZGsOPEh2dW55NQcY3SvYdwWPRYvl+59oUIlugew2WxkV+ey\n9uRHVF6qwtXJhSmx47m59yhcnFz04KB0a00t7by68gjHTtcR18ubx2ZrG28REXuK8YnipwMeJLs6\nl1VF69lWtps9Zw5wc+9RjO09Gg9T97xooRLdjdlsNvLOFbL25EZKLpZjNBgZET6ESTG34uPq5eh4\nIh3ufEMLL2YepqSygYz4QO6floqrycnRsUREuh2DwUD/4L70DUxmd8V+NpzezMbTn7CjbA+3RN3E\nTREjut3OhyrR3VRR/WnWnNzAifpTAAwMTmdy7K095j4lkbPnLvHCkmxqzjdzY0Y4d9zaByej3nUR\nEelIzkZnbowYztCwQWwv282m4m2sLtrA1tJd3BY9lhHhN+DcTXY97h7fhVxWerGCD09uJLc2H4C0\ngGSmxI4nwivcwclErp+iivO8nJlDQ1Mb00fGMGVEdI9cfklExFFcnVy4NWoMI8OH8knpDraU7mRp\n4So2l2zn1qgxDA0bhKmLl+munV4uK7lQxobTn5BTcxSABN9YpsbdRqxPtGODiVxn2SdqeH1VLm0W\nK3dNSGJ0un6BFBFxFA+TO1Nix3NTxAg+Kt7CrvJP+aBgBRtPf8ItUTcxPOwGXLrohi0q0V3cqfPF\nbDj9CUf/deU51ieKidG3kOSfoCtv0uPsOFzBOxsLcHYy8MjMftpERUSkk/ByMTM7YSq3RN7E5pLt\n7Cr/lMzC1Xx0egvjIm9kZK+huHaxe6ZVoruoE/Wn2HBqM/l1x4F/XnmeED2OPn5xKs/S49hsNj7c\nc5qVO09hdjfx2Ox+xPXycXQsERH5Eh9Xb2YlTOHWqDFsKd3J9rLdrDjxIR8Xb2Vs79GM7DW0y6zm\noRLdhVhtVo7W5rO5ZPvlBwaT/BK4LXosCX6xDk4n4hjtFiuLPi5gx+EzBHi78dN56YQFaMt6EZHO\nzMvFzLS4CYyLvJGtpTvZVrab1Sc3sLH4E4aH3cCY3iMJcPd3dMwruq4l2mazMXr0aKKjowEYMGAA\nTzzxBNnZ2SxcuBAnJydGjBjBww8/fD1jdXptljb2n83ik9IdVF6qBiAlIJEJ0eOI9YlycDoRx2lq\naee1VbkcPXWOqBAvHpvTD1+zq6NjiYjIt+Rp8mBy7HjGRo5mV/k+tpXtZmvZLraV7SYjuC9je48m\nxifS0TG/0nUt0SUlJaSmpvL6669/4fMLFizglVdeoXfv3tx3333k5eWRnJx8PaN1ShdbG9hRvpcd\nZXtoaGvEyeDE0NBB3Bw5il7mMEfHE3GocxeaeSnzMGXVjfSLC+CBaam4uejNNRGRrsjd2Z1bom5i\nTO+RZFXl8EnJDg5V5XCoKodYn2jG9h5F38AUnIydZ63/6/qKc/ToUaqqqrjzzjtxc3PjV7/6FUFB\nQbS2ttK7d28ARo4cyZ49e3p0iS65WMau8k/ZfzaLNms77s7u3Bo1hhsjhuPrqvs8RUoqL/JS5mHq\nG1oZM6AX3xuXoDWgRUS6AWejMzeEDmBwSH8K64r4pHQHR2vzOXn+ND4u3gwPH8zw8Bvwd/NzdFQM\nNpvN1hFfODMzk3feeecLn/v9739PbW0t48eP5+DBgzzzzDO8+uqrPPLIIyxduhSA5cuXU1payuOP\nP94RsTqt5vYW9pR8xqainRSdKwYg2DOASX3GMiZmGG4mNwcnFOkcPsur5I/vHqC51cLdU1KZNloP\n04qIdGdl58/w0Ynt7CjeR1Nb8z93RwxL45a4UfQPTcXooIsoHVaiv0pzczNOTk6YTP9cD3D06NGs\nX7+eefPmsW7dOgDefvttLBYLd9999xW/VnX1xQ7Pez2UN5xhV/k+9p/NotnSjAEDaYFJjAwfSkpA\nIkZDxx8YQUFe3WaejqZZ2teX57ktu5xFHxXi5GTg3skpDEoKdmC6rkfHp/1olvaledpXd51ni6WV\ng5WH2VXxKcUXSgHwc/VlWPhghoQOINA9wO7/ZlCQ19f+2XW9nePVV1/Fx8eHe+65h/z8fMLDwzGb\nzZhMJkpLS4mIiGD37t3d/sHChtZGDlYdZv/ZLE5fKAHAx8WbMb1HMiL8BvzcfB2cUKRzsdpsLN9e\nxIZPS7SEnYhID+Xq5PKv2zkGU3qxgl0Vn3LgbBbrT21i/alNxPpEMThkAANC+mE2dfwqTdf1SvTF\nixf5j//4DxobG3F2duZ3v/sdMTExHD58mIULF2KxWBg5cuS3upWjq/2G1WJpJbcmjwOVWRytLcBq\ns2LAQJJ/AqN6DSUtINlhN8t3199YHUGztK+gIC8qztTztw/zOJBfRYi/B0/M6Uewn4ejo3VJOj7t\nR7O0L83TvnrSPJvbm8muzuXA2UMU1J3Ahg0ngxNJ/glkBPWlX2AKZpfvXqivdCX6upZoe+oKB8el\ntiZya/PIrs7lWG0BbdY2AHqbwxkcOoBBIRn4uHo7OGXP+mHraJqlfTm7mXjqr3spKr9AQoQPj8zq\nh9m9a24P2xno+LQfzdK+NE/76qnzrG85z2eV2Rw4e4iyhgoADBhI8I0lPSiN1IAkgjyu7paPTnM7\nR3dns9movFTFsXOFHKstoLCuCIvNAkCoRzAZQWkMDMkg3Bzq4KQinV9ZVQOvrDxCdV0TQ1NC+NHE\nJEzOnWdpIxER6Vx8XX0YF3kj4yJvpPpSLYdrcsmuyqWwvojC+iIyj68myD2AZP9EUgL6kOAbh5vz\nd99bQCX6GtU113Py/GkK6k5wrLaQupb6y3/W26sXGUF9yQhKJdQzxIEpRbqWwydqeH3NUVpaLcwY\nFcPk4dFagUNERL61II+Ay4W6vuU8R2qOkVdbSEHdCXaU72FH+R6MBiMR5nDifKKJ9Y0mzif6qu4Q\nUIm+Ci2WVioazlJ6sYyi86c5eb6Yc811l//cw9mdAcH9SPFPJDmgj9Z0FrlKNpuNTZ+VsWTLcZyd\njPz8B4NI6uX4W55ERKTr8nX1YVSvYYzqNQyL1cLJ88XknSvkeH0RxRfKKLlYxtayXZf/boQ5jF7m\ncCK8whkfNOJrv26XLNHLjq7D0+ZNsHsgAe7+eDi72+0qlc1mo6GtkZqmWmqazlHTVEt541nKGyqo\nvlSLjf//FnJPkwd9A1OI84km3jeWKO+I67IknUh31G6x8t6mQrZlV+Dj6cIjs/oxJL1Xj7yvT0RE\nOoaT0YkEv1gS/GIBaLW0UXKxjJP1pyk6f4rSixXk1uaTW5sPwPjUblail+Z++IWPXZ1c8HLxwsvk\nidnFjJfJE3eTOyajCZPRGWejM84GZ2zYsNgstFvbabdaaLO20dh2iYa2RhrbGmloa6S+5QKtltb/\n82+6O7sT5xv9z99MzOHE+kQR4hGkt5hF7KCxuY3XVuaSV1xHZLCZR2f3w99bGwyJiEjHcnEyEe8b\nQ7xvDDAGgIutDZQ3nLn8cOLX6ZIl+tejH+H4mRKqmmo411xHXXM9F1sbKG4uw2qzfqevaTQY8TR5\nEOQeQJB7AAFu/gS6+xPg7k+YZwh+rr4qzCIdoPLcJV5alkPluUv0Twjk3ikpuLl0yVOTiIh0+8kj\nTQAAGrxJREFUA14uZpL8E0jyT7ji3+uSr1QZYSn0cu79fz5vs9loam/mYlsDTe1Nl682t1vbabO2\nY8SAk9HpX1emnXA2mvA0eWA2eeLu7KaSLHKd5RfX8erKIzQ2tzNhSCSzborDqJ9DERHpArpkif46\nBoMBD5M7HiZ3R0cRkW+wNauM9zYfB+BHE5MY1S/cwYlERES+vW5VokWk8/v3BwjN7iYempFGYqSf\no2OJiIhcFZVoEbluLjS28trKIxSWnad3sJlHZvUl0EfvHImISNejEi0i10VJ5UVeWZ5D7YUWBiUF\n8+OJybi6aAdCERHpmlSiRaTDHciv4u/rjtHaZtUOhCIi0i2oRItIh7HabKzaeYoP95zG1cWJR2b2\npX+fIEfHEhERuWYq0SLSIZpa2vnbh8c4dLyGIF83HpnVj4ggs6NjiYiI2IVKtIjYXWXdJf60/Ajl\nNY0kR/nxk+lpmN1Njo4lIiJiNyrRImJXh0/U8MbaYzS1tDN2YATzx8bjZDQ6OpaIiIhdqUSLiF1Y\nbTbW7j7N6l2nMDkb+fGkZEb0DXN0LBERkQ6hEi0i1+xScxt/XXuMw0W1BHi78fDMvkSFejk6loiI\nSIdRiRaRa1JW3cCrK45QWddESrQfD0zT/c8iItL9qUSLyHe2P6+St9bn09JmYcLQSGaNjsNo1PrP\nIiLS/alEi8hVs1itLN9+ko37SnA1OfHg9DQGJQU7OpaIiMh1oxItIlflwqVW/rL6KHnFdYT4e/Dw\nzL70CvR0dCwREZHrSiVaRL61E2Xn+fPqXOoutpARH8g9k1PwcNNpREREeh69+onIN7LZbGz6rIzM\nrSew2mzMHB3LxGFRGA26/1lERHomlWgRuaKmlnbeXJ/HwYJqvD1M3D8tjeQoP0fHEhERcSiVaBH5\nWqVVDby28p/L1/WJ8OH+aWn4ebk6OpaIiIjDqUSLyFfalXOGdz8uoK3dyoShkcwcHavtu0VERP5F\nJVpEvqC1zcKiTYXsyjmDh6szD0xLpX9CkKNjiYiIdCoq0SJyWeW5S7y2KpfSqgaiQrx4cEYaQb7u\njo4lIiLS6ahEiwgABwuqeHN9Hk0tFm7q34vbx8ZjcnZydCwREZFOSSVapIdrt1hZtq2Ijw+U4mIy\ncu/kFIalhTo6loiISKemEi3Sg1XVN/GX1Uc5deYCYQEePDg9jV5BZkf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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", "pyephemout['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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IiIguZfF9oi1h9Y5s/H6i3KzH7BXpjweHhF31/q+//hJnz+bgq68+h9FoxLFjaWhpacbs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\n8ezdu5f777+fXr160a1bN3bt2oWfnx++vr784Q9/4NZbb1W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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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znmOfsQ6bJ45bWt3CFW27Wx0r7LRvmoLbZWfhukwCpml1HJFyo7feIiIS9uZt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\nnI8++ogzZ87g5eVFt27d8PHxoby8vOlap2VlZfj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"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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7VXuJjouLo3Hjxsd+Dg8PZ8eOHcfuLy4uJjQ09B/Hsdk87+LzNZnm0300l+6l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\nNfD392fx4sUcOnSI7du3A1BcXIy/vz933nkn77//Pq+++ip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"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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4/3vumXDV7ck7jxC1iE6nI+SWESS9PpvMpYuJemyK1pFqPXN6Osnz3sacdBrP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\nhi1btmDu3LkIDAzsyVhuibMUF+cpLs5TPDk5OUhNTcWjjz6KsLAw5OT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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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zSC6dy5Pzaa+poeSnJZSsWIaqq0MfFEzw6GsI6D/QZf2dPTmf58JeWUnJiqWU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IAAAg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\n9H/GQJ4ncUADnAAAAABJRU5ErkJggg==\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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ylJ2ZxjgHgJQTCkdU1+xXuTdbaU7iCuIP90ogjhmGoeElOWpq71Vvf8jucgAgZhraehQK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\nhBCim/4FG8CyMWxm1IEAAAAASUVORK5CYII=\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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33HHY5yZOnJj+73nz5unxxx/PxlKAvJc+8pueaAAmEvQzKxr5hcNWgDzDjGgA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\nTEdPTCVup0o8zIgGgJR0Owc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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)=0.984807753012, sin(axis_azimuth_south)=-0.173648177667\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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atBoV799H6tz3sJcU49/3ekJuHSOjoi7g3aYtMc9PJ/OryhU8EqZPJXjkrfj3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\niqOsrAz/93//B7vdjsDAQBw7dgx5eXmYPHkydDodlEolvv32WwwZMgR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zQjQAOIxhJhoALCNEA4DDnF3izrvjAIDCjBANAA5DTzQAWEeIBgCHoScaAKwj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\nd9rHzlp6NUQnJSXpxRdf1DP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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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MmCGn06l69erpscceU2xsrIYOHapBgwbJ5/Np/PjxXFQIACEWuNmKmIkGgGCELERPnjxZ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\n0QAQPEI0ANjI90/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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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1ceJE5ebmKicnRxkZGUpNTT3v8Q8cyPRX6baTkBBJPy1CL61FP61V1M9jx05I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\n0QBgM0HOwpVog5VoAPAaIRo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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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Syp5o0hlTMZ/s7bffhiRJ6OrqwvXr17F//35MTk7O/30kEoHH41nQY/l87kKF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\n6le/CgDo6+vDl7/8Zbz44ot47bXXFD0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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(pyephemout['apparent_zenith'], pyephemout['apparent_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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qoJZRRESq5DlRRGudaBGR06hlFBGRKnl9HgAN5xARqULAi+h169Zxzz33ALB3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\nsXoO51Zx4sgpnE4XJhOkpEYyMiWcEUlhbm/uRUREPktNtIg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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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UEZEGRc0oJqZmokVEGqAiWkREGhQ1owCaiRYRaYBGRhERaVDkSBGtPtEiIifQ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\n2sWlS5ew2+20t7fz5ptvsmzZMj7++GP8/f2Jj4/HbrfT0NB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tracker_data = pvlib.tracking.singleaxis(pyephemout['apparent_zenith'], pyephemout['apparent_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=pyephemout.index)\n", "\n", "for gcr in np.linspace(0, 1, 6):\n", " tracker_data = pvlib.tracking.singleaxis(pyephemout['apparent_zenith'], pyephemout['apparent_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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P6sp4oj+7CMu/lUVYhBCz0HWdJ6ZiHB9rLMfzphhHPNRDIjKIzbMBi6Nm+rZY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3Sb6z6uEMI5ooNCeK3b0+iq/CjUHuW1Hz7kfIVyn1pZbLWrc8hItHA9Tmmi9+3bxwMP1Gy+kJWV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\nobS0FK22p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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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0nWgRkWMoRIuISFCGaWDBouUcIiI/olFRRESCMkxTSzlEROqgkVFERIIyTAOL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\nYysZp4vJOFVEc1MbeoMNMeMCGBjpiVotF5IKIUR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tracker_data = pvlib.tracking.singleaxis(pyephemout['apparent_zenith'], pyephemout['apparent_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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7QDX18SmkP2xHcbxMaVrChK99ObumNaC5SJh9pxAD+DwGxMFS3DICexjku2+W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/5TboT9JNem7JTaYrEGSb3cE2u4Ot9i622rtIMGiZEBvNhFjTkAvCsCxz0Ollb7uT4nYX3u6N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srv7US8LK8CgHpfQ79tFEXp7UKsqFJCnCUkgRXDTq/T8K2/WDLaYQzZeFvb8kLH8u+/ew0Y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\ntlBGZkQGuESib50QtXcWrFwxWqCJO1en04nVe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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aois = pd.DataFrame(index=pyephemout.index)\n", "tilts = pd.DataFrame(index=pyephemout.index)\n", "azis = pd.DataFrame(index=pyephemout.index)\n", "thetas = pd.DataFrame(index=pyephemout.index)\n", "\n", "for tilt in np.linspace(0, 90, 7):\n", " tracker_data = pvlib.tracking.singleaxis(pyephemout['apparent_zenith'], pyephemout['apparent_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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fgHnz5nPmzGlMJjMej6e/vaIoqNWXv6RZLJYB2z0eN1br4L+USU+0ECNUgl5D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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aois = pd.DataFrame(index=pyephemout.index)\n", "\n", "for tilt in np.linspace(0, -90, 7):\n", " tracker_data = pvlib.tracking.singleaxis(pyephemout['apparent_zenith'], pyephemout['apparent_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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jFxBjij7pNR63j12bj2A2aGS2FqI6A4tMHD+F2NwPR2Clbz6RJLAiLIx6N06d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UC3DYNHko3o9DaMlix0Bhs6QwJ6YwJ6Y2I4cm9MRNZbx1QrxyBSiMcdY+7AvvbaazQ2NvLggw9i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\nH4rq2oVJu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tTW7gub1UazL5tEs5fyypNRmzcUVDi4uxqDUceypVPR0HqEjaJFJGpsjJ8Z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\nFRERERERkaCgBFZERERERESCghJYERERERERCQpKY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W6+eTLh4eEAZGdfys6d25t0koZx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jbKeRu3U3AHEjLjWwCxwRsIJQZnKmRpQnhbhsEdhSC2dBEAQhh6rZ7/35pxDbAnasiZPr9hTi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\ng+2cC3WO2/t1emdBAbwLFqF6PASbmxk5fox4fz/+ZStQ7NM7cLbZVOoXGnv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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aois = pd.DataFrame(index=pyephemout.index)\n", "tilts = pd.DataFrame(index=pyephemout.index)\n", "azis = pd.DataFrame(index=pyephemout.index)\n", "thetas = pd.DataFrame(index=pyephemout.index)\n", "\n", "for azi in np.linspace(90, 270, 5):\n", " tracker_data = pvlib.tracking.singleaxis(pyephemout['apparent_zenith'], pyephemout['apparent_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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GTxGRIFR7YqFZLwMiIvXR4KPn+vXruffeewHYs2cPY8aM4e677+bpp5/GMAwA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\nShvZv+MkB3aeJCougJTMMKITAnF2vrrFiJUnWzQfWuQKqIk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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tracker_data = pvlib.tracking.singleaxis(pyephem_joh['apparent_zenith'], pyephem_joh['apparent_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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zc5g9+wlefvn/UVJSzP/+9z4m0/EnYYYMGUbnzl148MFH0Wq1VFdX89hjMwgJ\nCeHaa8dTUVHBSy+9wFVXXcfgwUPYuHE9r776ItOmPck777zFzJlPU1xcRHp6Ty67bDz19fVceeWl\nkkQLIc5OcKCWPp0jWb+rmKwCGymx5iadr9bh+WqMjvBCdBAUZuLy+y5n06cZ/Jqp5sfNteRmLuP8\nf4wmIOjM666FEKfHabVS+Obr1OzcgSY0lA633E5wWjevnf/3DVeaXs6xaW8JtfVOLhvWEbW67e5Q\nOGRUyklnjX1BUZTGrwkJSQDodHoqKiqYMeMxgoKCqampwel0kpubw+WXjwcgPb0X6em9eOut11m3\nbi1arbZxkiYrK5PNmzeyYsV3ANjtnueA2Rx6wgT6eGJj4zAc7gYTFhZOfX0dWVn7WbDgfyxc+A6K\nohDwp3Ijo9HIrl072bTpV4KDQ3A4GpowOt4hSbQQrdjQnh1Yv6uYNdsKm5xE17m1BFCPVq/zUnS/\n95SO25bJd0t3s99uoOS55Yy5qjeWLoleu44QwqN6x3YK33wdl81GSK/exNx8Cxqjd1vG/V4T3fSZ\n6COlHBcOSASUJp9P/E6tVjfWEh9Jgn/55WeKiwuZOXM2FRUVrFq1EkVRSE5OZteu7aSkpLJlyyZ+\n+WUNOp2Oq6/+K3Fx8cyaNYP5818jKakjaWndGD36YkpKivnuu28PX+vUb4COF88fJSUl8de/3kh6\nei+ysjIbZ8NVKhVut4uvvlqGwWDkwQcfJS8vl6VLP/fKODWFLCwUohXrkRyO2aBj/a4iGpxNW3hR\nj45AHF6K7GgdeqZy7d2jSAqyYVMb+fzTPWxdston1xKiPVKcTkoWfUL+c3NxVVdjufavxN51r9cT\naPB054Cmb/1dWlnL7uwKusSbibWcuke1ODNhYeE4nQ04HI7GpLV793QOHcrn7rv/yQsvzKV793TK\nykq58cZ/sGrVT9x11+38739vMG7cFYAngR0wYBDJyR1ZuPBd/v73f/DDD99z11238/DD95OUlHz4\naqdOotPTezFr1nTsdttxkmgVd955L2+99QaTJt3G7NlP0rGjZ+a+d+8+PPjgvfTvP5B169Zy7713\n8N57b9O1azdKS0u9NFpnR6Ucme9vZUpK7P4Ooc2wWIwynl7ij7H8eGUm36zL4Y7x6fRPO7tFPvVV\nNbz14nosKitXPTzOyxEebesXq1i3ow6XOoCkIBsXTLwQvSH4uPeV56Z3yXh6T0say4bycgpef4W6\nzH0EWKLEWwToAAAgAElEQVTocPsdBCYn++x6Lrud/ffdRUifvsTdefdZn+eL1Qf4YvUBbr4kjSsu\n6NpixrMtaEnPz9bOYjnxG1Ep5xCilRuaHsM363L4eVvBWSfR9gLPpi1Bet/XJPYeN5zYbjks/3Qr\n2bUmPv7vD4wZ34Po7h19fm0h2prq7dso/H+v46qyYxwwkKi/3YwmKMin11SHhIBa3aSaaLeisPq3\nAvQBGgac5d8t0fKsXp3BRx8tPOb2q6/+KyNGjGz+gHxMkmghWrk4i2eb3G1Z5VirHZhDzrym2V5S\nCUBQUPP8SbB0SeSa+6JZ+eZy9lcZ+WJxJoMzD9Fr7NBmub4QrZ3idlO25HPKv1yGSqMh6oYbMY8c\n5fXevsejUqvRmExNKufYl1tJma2OYT07EKiTVKStGDZsBMOGjfB3GM1GaqKFaAOGpsfgVhTW7Sg8\nq8dXl3s+9gsxNF/XjIAgPWMmXc7wdE/S//POBr6Zv5SG2vpmi0GI1shprSRv3hzKly0lICKShCmP\nE3r+Bc2SQB/h2fr77Geif9lZBMC5PaK9FZIQzU6SaCHagEHdo9GoVfy8/eyS6CprDQAhob79GPh4\n0i8bwvgru2BwV3Gg2sgnz39LeZb3tjMXoi2p2b2L7JnTqN29i5A+fUmcNsOn9c8nojGZUOrrz2rr\nb6fLzcbdxZgNOromhvkgOiGahyTRQrQBxmAdvVIiyC2uIqfozBeT1Ng9s7+GcO+v5D8dUV2TuObu\nUSQG2rCqTCz6cAe7lq/3SyxCtESK203ZsiXkPfuf37tv3HEXmuAQv8TTlK2/tx8op7rOycC06Dbd\nG1q0fZJEC9FGDEn3bKu95ixmo2tqPbsVGiz+mxXSG4K59N6xDEpV4UbNj5tqWPTMJ7ganH6LSYiW\nwGm3kf/CPMoWf4Y2LIyEhx4hbPRFzVq+8WdNaXO37nApx2Ap5RCtnCTRQrQRvVMjCAnUsm5XEW73\nmXWurHV47m+M8f+2u32vOo/LL0si2FXNjpJAPn32S6z5xf4OSwi/qN23j5wnplOzYzshPXuRNO0J\nglJS/R0W2sO7FjorK8/ocfUOF5v3lRAVGkRyjH8++RLCWySJFqKN0GrU9OsahbXKwd7cM3thq3Np\n0LodJ+zX3Nxie3XmmjtHEK+3U46ZT9/exP6MLf4OS4hmoygK5d9+Te6c2TgrK4m84irP5imGlrEp\nia6D55Ov+vy8M3rc5swSHA1uBnWP9utMuhDeIEm0EG3IoG6efqvrdhWd0ePqCUDvo90Kz1ZQqJGb\nnrqOvgkuGtQ6lv9czqq3vsHtcvk7NCF8ylVbS8ErL1L6yUdojCbiJz9M+CWXoVK3nJdsfXwiAPV5\nuWf0uHU7PH+bBnWXUg7R+rWc30ghRJN1TQzDbNCxcXcxTtfpbQPurHfQoNYTqGl5yalarWbQDRfw\nlwuiCXTXsb04kM+fXUZNWdO2Gxaipao/dIjcWU9QtelXgrp0JWnaDIK7pvk7rGNozGY0RiOO3NNP\noqtqG9h+oJzEKAOxkf5ZECmEN0kSLUQbolarGJAWRXWdk50Hy0/rMbb8EgCCAnwZWdMkDezBNbcN\nwaKyUuw288mrqyn4LdPfYQnhVfaN68mZ9QSOwgLCxlxM/AMPoTWH+jus41KpVOjjE2koLcFVW3ta\nj9m4pxiXW2GQLCgUbYQk0UK0MYO6eV6gjqyAP5WC3Z6ZpPCI5u8RfSZCLKFMeOAyuoXXUKMJYcmy\ng2xdstrfYQnRZIrLRcnHH1Lw6suAQod/3oHlmutQaTT+Du2k9AkJADhOs6SjsZSjmyTRom3wy16b\nEyZMwHB4cURCQgK33347U6ZMQa1W07lzZ6ZPny4LDoQ4S51iTUSaA9m0rxRHgwtdwMlfiItyy4Fg\nYjpGNU+ATaDRahh52yVEffMLqzfZWbPTSXHeMs6fOAat/sy3OxfC35xWKwWvvUzt3j0ExMQQe8dd\n6GPj/B3WaTmSRNfl5hDUuctJ71tuq2NvbiVd4s2EmwKbIzwhfK7ZZ6Lr6z2bOixYsIAFCxbw9NNP\nM3v2bO6//34WLlyIoiisWLGiucMSos1QqTwlHfUOFzsOnLqko6yyAYAOPTv6OjSv6X7xYMZf2YUQ\ndxWZNgOLnvsGW0GJv8MS4ozU7s8k+8np1O7dg6FvPxIfm95qEmj4w+LC3JxT3nf9rmIUYFCPGB9H\nJUTzafYkevfu3dTW1jJx4kT+/ve/s2XLFnbu3MmAAQMAGDFiBGvWrGnusIRoU/p19cwqb9xz8sTS\n7XZT6Qoi2F1NcJi5OULzmqiuSVwzaSSxWivlmPj0rY1kr9/h77CEOCVFUahcuYLc/8zGZbUSedU1\ndPjXJDRBLbuk6s90HTqg0mqpP43Fhet2FaFRq+jf1dIMkQnRPJq9nCMoKIiJEydy9dVXc/DgQW65\n5ZajjgcHB2O3n/m2xUKI33XsYCTcpGdLZikNTjcB2uO/Xy7LzMOp1hGjO72FQS1NoMnA5fdfzi/v\nfc/WfD1fryikX1YR/a4ZiboFtQMT4gh3fT1F772Dfe0aNEYjHW77F8Hduvs7rLOi0mrRdYjFcSgf\nxe0+YQu+Umst2YV2enQMxxgsZVei7Wj2JDo5OZmkpKTG70NDQ9m1a1fj8erqakwm0ynPY7HITkfe\nJOPpPS1lLIefE88XGfs5VFlH/xMs5Nm73LNFeHyCucXE/WenE9e4B66k0zfrWPZtLhsP6il76Suu\nfmgcgS1k85iWpKX+O7dGZzqWdYWF7J47h+oDBzF07kzaw5PRWyJ9FF3zqOzcieLcHAwNdoLj4497\nnzW7PDuOntcv4aRjJs9N75Lx9L1mT6I/++wz9uzZw/Tp0ykqKqK6upqhQ4eyfv16Bg4cSEZGBuee\ne+4pz1NSIrPV3mKxGGU8vaQljWX3RDNfACvWZ5MUefxkMjuzGDAQFh/RYuL+ozMZz5h+3bkyMoyv\n39/AgWoTr05dzF/+2pfwjq2nxtTXWtLzs7U707Gs3rmDgtdexl1djfm887Fcdz02AqCV/3sokZ6d\nCwu37saoP35JWMavuaiAzjGGE46ZPDe9S8bTe072ZqTZk+irrrqKRx55hBtuuAGA2bNnExoaytSp\nU2loaCAlJYWLL764ucMSos1JiTNjNujYvLcE50Vd0WqO/ai13OYGxU2Hnil+iND7wpI6cNW9Y/j+\n9eVk15r47IPtnD+8lJThvf0dmminFEWh8rvllHzyISqNhuib/oF52Ah/h+U1Rzp01OflYhw46Jjj\n1moH+/KspMabMRv0zR2eED7V7Em0Vqtlzpw5x9y+YMGC5g5FiDZNrVLRr4uFHzblsye3kh7J4Ucd\ndzU4qXQHY6QafRsqe9AFBXLxXZex6dOf2Lhfy3eryyjNW8GAa8+XOmnRrNwNDorffQfb2p/RmM3E\n3nEXQSmp/g7Lq/QJng4dtVn7j3t8874SFKBfF1lQKNoeeUURog3re/iFa8u+0mOOlezJxq3WEhas\nNHdYPqdWq+l/zflcPDIKreJgU7aGb+Yvw1nv8Hdoop1oqKgg99+zsa39mcCOnUh8fEabS6ABNAYD\n+oQE6jL34W449vdr0+EOQX0liRZtkCTRQrRhXRJCCdJr2bKvFEU5Olk+tCcPgKgYgz9CaxbJ5/bk\nyht6Y3Lbya418elz32ArOPYNhRDeVJu5j5ynZlB/8ACmIUOJf2gKAWFh/g7LZ4K6dkNxOqnbf/Rs\ndE1dA7uyK0iKNhIZ2rra9wlxOiSJFqIN02rU9OwUTpmtjvyS6qOOHcqxAhDXPcEfoTWbsKQOXHX3\nBcQFWKnAxKK31pO3eY+/wxJtlDXjJ3LnPIPLbsdy3fVE33wL6oC23dYtOK0bADW7dx11+/YD5bjc\nCn06t+4OJEKciCTRQrRx56R6XsA2Z/4+A+t2uymq0aFz1RHTo5O/Qms2ekMwl913OT1j6qlTB/Hl\n17lsW/qzv8MSbYjidFK0cAFF7/4PdWAg8fdNJuzCMahUKn+H5nNBXbqCSkXtnt1H3b41swyA3qmS\nRIu2SZJoIdq4nikRqFUqtv4hiS7akYVDE0hUcD1qjcaP0TUftVrNsJsuYmS/EFQorN7RwMrXv8Lt\ncvk7NNHKOe028ubNwbpyBbq4eBIfn95qN1A5G5rgYPRJydRm7cddXw+A262wLauMUIOOxOi2WzIm\n2jdJooVo40ICA+iSYCbrkA1rlecF7sDmAwAk/KljR3vQbcxAxo5PIdhVze7yYBY/u4zaSumnKs5O\nXU42OU/OpHbvHgz9+pP4yOPoLFH+DqvZBad1A5eL2n17Acg6ZKOqtoFeKZHtYjZetE+SRAvRDhwp\n6di63/Px6qGCGgA6DUzzW0z+FNO9E1fdPpRIlZUit5lPXv6Jkr05/g5LtDL2XzeQ+8wsnOVlRIyb\nQIfb70AdGOjvsPziz3XRW/d7PvnqnRrht5iE8DVJooVoB3ofXtizNbMUR20dZa4QDO4qTHHtt+1U\nSGQoV9x/KammKqrVBhZ/upt9P27yd1iiFVAUhdyPP6XglZdApSL2zruJuHwcqnbchzyocxfQaH5P\nojPL0GrUdE9qf592ifaj/f7GC9GORIcFExUaxO6cCg6u24lbraVDqL+j8j9NgJbRd1zG4C5qXCoN\nK9ZWsuHDH/wdlmjB3A0OCt98nZyFH6ANDydxymMY+vT1d1h+p9brCeqUQn32QUryS8grqaJbUhh6\nXftYcyHaJ0mihWgnenQKp7beReZvnv7QiWkd/BxRy9HnihH85YIYtIqDjQfVfPfSMlxOWXAojua0\n2cib+x/sv6zF2LULiY9Na9yxT0DIOX1AUcj6aS0AvVKklEO0bZJEC9FOpB9eRFhiU6FWXCQN7Obn\niFqWpIE9uOKvPTG4q8i0G1g8bxl1tip/hyVaiPq8XHJmzaRufybGgYNJf2omWrN8nPNHhnP6ANCw\nfSsAPTtJKYdo2ySJFqKdSEsKI6ahihqtEYu2Cr0h2N8htTjhHeO46l8jsKitFLvNfPriSsoPHvJ3\nWMLPqn7bQs7sWTjLPAsIY269HbWubW+gcjZ00THoYuMILzlIjEGDRXYpFG2cJNFCtBNBei3dNJ4W\ndwnJZj9H03IFhZmYcN+lpBjs2NVGPl/4Gzkbdvo7LOEHiqJQsfxbDs1/AdwuOtx+h2cBobRsOyFn\n5x5oFReDAytlnESbJ0m0EO2I4tahUty4ktv2Vt9NpQnQMmbS5fRNcuFQ6/j6+wLZ4bCdUZxOihe8\nTcnHH6AxmUl46BGMAwb6O6wW76A5CYBOtmw/RyKE70kSLUQ7UZ6VT7XWTGB9ObtLG/wdTqsw6K8X\ncMEgE2rFxeodDWS8+Q1ut9vfYQkfc1VVkffcXKwZP6FPTCLxsWkEduzk77Bahc1VQdg0wegP7kaR\n3UBFGydJtBDtxO7VnpKEWpWLHQfKUBTFzxG1Dl1G9efycakEuWrYURLIl88vxVFb5++whI84CgvI\nefpJavfsxtC3HwkPP0pAuCyQOx31DS725VsptHRCqamhdu8ef4ckhE9JEi1EO5GdXwuKG3VKEmW2\nesqskgierpgenbhy4iDCFBt5DjOLnl+OvbDM32EJL6vZu4ecp5+iobiI8Esuo8M/70St1/s7rFYj\nM8+K06Wg6uHp0mH7Za2fIxLCtySJFqIdKD94iEqViQi1nY5d4wDYk1vp56haF2NMBFfcO4Z4nY1K\nlYlFb66jcGeWv8MSXmJbt5b8eXNw19cRffMtRF5xVbvegfBs7DxYDkDSwF5ow8Op+nUDbofDz1EJ\n4TvyF0KIdmDHD78BkJpipmuCp7ftvjxJos+ULiiQS++9jB6WOmo1wSxdnEnWqq3+Dks0gaIolC1b\nQuEbr6EKCCD+3gcwDx3m77BapV3ZFWjUKjonhGMcdC7uujqqt27xd1hC+Iwk0UK0cW63m6wCF2q3\nk24X9iMhykCgTsPeXKu/Q2uV1Go1IyZezJBuGlwqDctXl7L1i1X+DkucBcXppOidtyhb/Bna8AgS\npjxOcLfu/g6rVap3uMgpqiK5gxG9ToPp3CEA2H5Z4+fIhPAdSaKFaONy1u2kRhNCbGA1QaFG1GoV\nqXFmCstrsFXLR61nq/e44YweFolGcbFml4tV//tWOne0Iq6aGvL/+xy21avQJyWT+NhU9HFx/g6r\n1TpQYMOtKKTGeXrQ62Pj0CcmUb19G067zc/RCeEbkkQL0cbt2uCp203r+3tv6M6HSzr2Sl10k6QM\n783l41IJdNWwvUjPty8uw9Xg9HdY4hQaysvI/ffT1OzcQUiv3iQ8OEW28G6iffmeT7ZS434fR9Pg\nc8Hlwr5hvb/CEsKnJIkWog1zVNeSVxWI3lVLp2G9G28/Uhe9V+qimyymRyeuvGkAJredgzUmPn/u\nS+psVf4OS5xAXU42ObOexJGfh/n8C4iddA/qwEB/h9Xq7W9Mok2NtxkHDga1GtvqVdJSU7RJkkQL\n0YbtXrEJp1pHR4uCRqtpvL1jByNajYp9UhftFaY4C1dNGkWU2kqJ28yiF1dizS/2d1hnRVEUnC43\n9Q0uauudVNU2UFPnpN7hwuly427FyVD1tt/I/fdsXDYrlmv+StT1/ycdOLzArShk5lmxhAZiNvze\nElAbGkpI73Ooz8mm/uABP0YohG9o/R2AEMJ3du0sA0ykn5d+1O0BWg0dO5jIzLdSW+8kSC9/CppK\nbwph/H2X8t0rX3Ogxshnb2/kL+O6EpOe0mwxNDjd2Gsc2GsasNce/lrTgL3GQVVtAwoqKu111Dlc\n1Dtc1Dmc1Dlc1DW4cLncuNwKp5MjqwCNRoVarUIfoCFQpyFQp0WvO/x9gIZAvRZDUADGoAAMwQEY\ng3UYD381BQcQqGve51zlTyspXrgAlUZDh3/egbHfgGa9fltWUFZDTb2T3qmRxxwLPW8k1Zs3UZnx\nIzGy66NoY+SVU4g2qnBHFuWYiFRZsXRNPOZ4l4RQ9uVZ2Z9vJb1ThB8ibHs0AVrGTLqUtQu+57eC\nYJYu2c+ocjspI85p8rkVRcFe20BxRS3ltjrKbHWU2+opt9VRbq+nwlaHreb0t3P/PfnVYA7RodWq\nUatVaNWe5NjzvRqVChQFXG4Ft9t9+KuCS1FwuhQcDS7qHC5KrXXUOZynlYQDBOk1hBsDCTPpCTcG\nEmHSE24KJNwUSFRoEGEmPWqV6ixH63eK203pZ59S8c1XaAxGYu+6h6CU1CafV/wu83BZWGq8+Zhj\nwd3T0UZEYF+/Dss1f0UTFNTc4QnhM5JEC9FG/bZyB2Cke8/o4x7v2MFTu5hdZJck2ovUajVD/z4G\n45KfWbPDxXc/l2EvW8U5E4af1uPrHS4OlVVTWFZDUUUNRRW1FJV7vtbWH3/RYoBWTZhRT2xkCGaD\nHmNQQOOs75GvhqAA4mPNVNvr0Os0XklQ/0xRFBxON/UOF7UOJ1V/mAm31zYc/n8H1hoHFfZ6ym31\n5JdWn/BnigoNIiosiOiwYKLCg4gJCybWEoIpWHda8bgbGij635vY1/9CQHQMcffcjy4qyps/sgAy\nD9dDd447NolWqdWYh59H2eLPsP+yltDzRzV3eEL4jCTRQrRB9bZqDtoC0Su1pI0+/sYRSdFGALIL\n7c0ZWrvRa+xQDJG/seLHQtbucWF78xuG3TwG9eEaXKfLTVFFLfklVeSVVJFfUk1eSRWllXX8eTJX\nq1FhCQ2ia0Io0eFBRJqDCDd6Zm7DTJ6kWXUaSXGEOQi3w3fdQ1QqT3mHPkCDKURHdNipH1Nb72yc\nSS+311NqraP48JuH4oqa4ybZpuAA4iwG4i0G4iwhxFsMxEYGH1Ui4qqt5dBL/6V29y4CU1KJu+te\nNAaDN39ccVhmnpUgvYbYyJDjHjcPG0HZ0i+o/Gkl5pHnn9ZzVYjWQJJoIdqgbd9swKUOIM3iRBNw\n/F/zcJOekEAtOUXSScJXOg3pRUioka8/38WOkmBKn11MVXoa2cU15BZX4XQd3VfaEBRA18RQ4i0G\nOkQEExUeTHRYEOHGQNTqtpl4BOm1xOm1xB0nAVMUBXtNg2dGvryWwvIaDpV63mzsyq5gV3ZF431V\nQExEMMkxRlKMKuK/ew+KDhHSpy8dbv0nat3pzV6LM2OvcVBUUUuPjuEnfI5qQ0MxnNOHql83Urtv\nL8FdujZzlEL4hiTRQrQxbreb3Zl2VKoQel3U74T3U6lUJMUY2Xmwgpo6J8GB8ufAW8ptdezLs5KZ\nb+VggY0KDfRwVFKkCydo3XYKAsOIiw4lIdozmxpvCSHOYsAcIoneH6lUKkwhOkwhOjrHH93Hubbe\nyaHSavJLq8kr9szmZxfZ2bO5gHMOfQ/Oajabu7BDN4Ck5ZmkxJlJjTcTGxnik1KW9iqv2PMmPDnG\neNL7hV14EVW/bqTyu+WSRIs2Q141hWhj9q/ail1tJE5nJTT+5PWfidGeJDq32E7XxNP47F0cw+V2\nk1tcRebhpHlfnpUKe33jcY1aRVxUJJqwAMw7D2INjGIEVsaOHUhwxLE1pOL0BOm1pMSZSflDHW51\n5j4O/fdjFGc1h3qex4HwnpQUV5NXVsjP2wv/8DgTqXFmUuPMdIo1NXunkLYkr8RTbhNnOX4pxxGB\nqanokztStWUTjpJidBapTRetn/zlEKKN2bouBzDTd+SpZ3v+WBctSfTpcSsKuUWecoLdORXsya2k\n3uFqPG4KDqBP50g6x4eSGmcmKcZAwOEe3Q0Xd+frl78hv8HMotdWcfn/9Sc0McZfP0qbUrVlMwWv\nv4LidBL995vpMvw8RgJut8Khsmr251sb3+hszypne1Y5AGqVio6xRrolhdEtMYyUODO6AM1JryV+\nl1vimYlOsJy83lylUhE2egyFb7xG5Yrvibru+uYITwifkiRaiDakcEcWJW4z4ViJ7zvylPdPjPa8\n8GVLXfQJKYpCQVmNJ2k+nDhX1/2+OK9DRDBdEjwJc2q8majQoBMunAoI0nPZvZex4tWvybQb+HzB\nZv4yoSsx3aV/blNYM36iaMHbqAICiJ10N4Zev7cUVKtVh0tmDJx3ThwAtmoHmfmehHpvbiUHDtnZ\nn29j2ZpstBo1qXEmT1KdFE5yByNajWzIciL5JVVo1Cqiw4NPeV9jvwGUfPIRttUZRIybIO3uRKsn\nSbQQbcim77cDJnqec/y2dn8WHR6MXqchp0g6dPyRrdrBtqwydhwoZ1d2BdZqR+OxCFMgfbpY6JYU\nRlpiGGFG/UnOdCy1RsMF/7qE4AXf81tBEEsXZzLaWkPyuemnfrA4iqIolC/9grIli1EbDMTdfR9B\nnU69uY0pREffLhb6drEAnvrqvbmVf3ijVMnunEo+X3UAfYCGLgmh9OgYTq+UCKLDTvwmqb1xuxXy\nS6qJjQw5rTcaKq2W0PMvoOzzRVgzfiT8or80Q5RC+I4k0UK0EbaCEnJrQgh2V9P1wtPrSaxWqUiI\nMrA/30p9gwt9O/0Y2+1WOFBoY9v+MrZllXGwwN7YZs4comNw92jSksLolhSGJbTps2dHekmHfL6K\nX3Zr+XZlISPsNXQbM7DJ524vFJeL4oXvYs34CW1kJPH3TkYXc3alMUF6Lb1TIxt33KuqbWB3dgW7\ncjxJ9bYsz/PiwxX7iAoNomdKBMP7xhNj0rfr0o+SylocTjfxp6iH/qPQkaMo/+pLKpZ/S+ioC1EH\nBPgwQiF8S5JoIdqIDV+sx60KoXtqEBrt6b+wJ0UbycyzkldSRUps+1noVlXbwPYDZYcT53Kqaj27\n/WnUKromhtIzJYKenSKIiwzx2czjOROGE7xiIyvXVfLjr1VUW3+k/9UjfXKttsRdX0/BG69SvWUz\n+sQk4u65D6059NQPPE2GoAD6p0XRP82z+K3CXs/2rDJ+O/zpxIpf81jxax46rZq0pDB6doqgV0qE\nV95gtSZ5h+uh46NOv/+2JiSE0JHnU/Ht19jW/kzoiJE+ik4I35MkWog2oLq0kv3lOvRKLb3Hnn9G\njz1SF51T1PaT6JLKWjbtLWHT3hIy862NW1SbDTqG9+pAr5QIuieHE6Rvvj+NXS7oT6BpF8u/y2HD\nfj01f9qURRzNVVVF/vznqdufSXC3HnS4Y5LPa2vDjHqG945leO9YnC43mXlW9hfa+WV7Ab/tL+O3\n/WUs/M5TH3+kTCQ5xtjmyz5yD7e3iz/FosI/Cxs9hsoV31HxzdeYh41AJc910UpJEi1EG/DrF2tx\nqYNIjwVdUOAZPfZIh462WBetKAq5xVWHE+fSxpkzFZASZ6Z3qme2OSHK4NeEJ3FAN8aZQvjy0+3s\nKAmm5qUvGf2vS87oE4X2oKGigvzn5uI4lI9x0GBibr4FlbZ5X8a0Gs/s8/D+iVw6KJEyax3bsjyJ\n9M6D5Xy5Npsv12YTZtTTt7OFvl0i6ZwQ2iYXJ+Yfbm93pkm0NjQM05ChWDN+ourXjRgHSBmTaJ0k\niRailauzVbGnSEMA9fQbf/wtvk8mOsyzqr60stbbofmF262QmW9tnHEutdYBnq2ze6VE0KdzJOd0\ntrS4jU0sXRO54qYglrzzCweqjSx9fhmX3HnRGb8paqscRYXkzZuDs6yM0AtGY7n2ry1iBjPCHMjI\nPnGM7BNHfYOLHQfK2bS3hK2ZpazYlMeKTXmEBHpqrvt2sdCjY3ibWXuQW1JFSKCWUMOZ/y6FXXQJ\n1lUZlC1bgqFffx9EJ4TvSRItRCv36+drcKp19LDUoTed/gKfI/Q6DYagAEpt9ae+cwvlVhT25Vay\nfncxv+4uxlbjqW8O1GkY2C2Kvl0s9OwU0axlGmfDFGfhyn+dx9LXVlLgNLP4v98y9l8XEGg6s5m+\ntqYuJ5v85+bistuJGH8F4Zde3iJLJfQBmsZyDqfLzd7cSjbtLWHzvlLWbC9kzfZCdAFqeqdEMrBb\nFD07RbTahYn1DhclFbV0TQw9q38LXXQ0pnOHYFvzM/aN64m6dLQPohTCt1r2K4oQ4qTqbdXsylfQ\n4vmiV8EAACAASURBVKD/Feee9XkizIEcKq1GUZQWmZwcj6Io7D9kY/2uIjbuLqayytOGzhAUwIje\nsfQ93IYuQOv/2cozERRmYvw9F/HlS99S6DTz2Us/MG7icEKi2udmODW7d3HoxRdw19cT9X9/I3Tk\nKH+HdFq0GjXdk8PpnhzODaO7cLDQzqa9JWzcXcyGw//pdRr6dI5kYFo0PTqGt6rn6qGyahQg7gxL\nOf4o/PJx2Nb9QtmSxXS6uHX8uwrxR5JEC9GKbfxsNQ1qPT0stQSHnf2iwEhTINmFdmw1DS2uzOGP\nFEXhYKGdDbuK2bC7iLLDs+chgVqG9+rAgG5RdEsKQ9MCPuZvCl1QIGPvuZRvXvrq/7d33/FV1ff/\nwF/nztyRm9zsTcgAQkIWM4SpKFtGWVYcXwfaalH7tePb/qr4rVXab7W1amuXVRmKTNkqsgKEmUUg\nIRAge+97s27uvb8/kFStjJBzc+5NXs9/+iBN733x7uXmlXM/5/NBcbsBm/9xFHOXj4QxLFDqaH3K\nlHkGFX/9C+x2OwJX/MBl184KgoDBgQYMDjRg4aQIFFeZcDK/CqfyqnH8XBWOn6uCRq1A8hAfjInx\nR8wgo9OvoS7tvqmw559+Xafy9YNH6gQ0HT6EmsNpEOJGihWPqE+wRBO5qLbGFuSVAwp0YvTC1F49\nlrfHtXW3dU3tTlmiq+pbkX6uEsfPVaH6q7XbGrUc4+MCMCbGD8PDvZy+dPSUXKnAzJVzsP+ve3Cx\nSY9tazIxe1En/IYOkjpan2g6koaqD96DoFIh+Ic/gi62fxxGIwgCBgW4Y1CAOxZNjsSVihaczKvC\nqfxqHD1biaNnK6HXKDF6mB9S4gIQGWRwyk+HKhtaAQCB3ndeogHAa/Z9aDp6BCUfb0ToqoQ+v1GU\nqDf4aiVyUae3HIVF5oY4v3ZojIZePZa34asS3dyOiKDePZZYWlo7cfLIZXx+ogiXy5sBACqlDGOH\n+2PMMD/ERXhB2c93r5DJZLjryZnQfPgFciq12L45HzNmtCMkeajU0Ryqfu9u1G76BDKdDsHP/vi2\nTiF0RYIgICLIgIggA5bcFYXCsiaczLu21ONAZhkOZJbBz6hBSmwAUmL94We89dHafaW64dovs/7G\n3m0vqPT2hsekyWg6sB/N6UfhMXGyGPGI+gRLNJELMtc0Ir9SBiU6MKqXV6GBb16JlpKly4rsS3U4\nlluJs5frYLXZIQhA7GAvjI8NQNIQH7ipBtbblkwmQ+oj06H+5CBOFaqwe28xppnbETExQepoorPb\n7ajdvBENe3dDYfRC8PP/DXVQsNSx+oRMEBAd4onoEE8suzsK5682ID23EhkFNfj0yBV8euQKooI9\nkBIXgNHD/KDXSHvSX3VDG9RKOQwifHLlNWsumo+koW7ndhhSUnk1mlwGX6lELih901F0yXRICu6C\nxtO914/XfSVaghJts9txqbQJx3IrcTq/Gq0dXQCAMD897hk3CLFhnvDUq/s8l7MZtWQK3Hal40hO\nK744UouJ5uMYPmOc1LFEY7daUbXmAzQfOQxlQABCnv8JlN7eUseShFwmw4iIa3uYt3V0IaOgBsdy\nK5Ff1IBLZU34aF8B4iN9kBIbgPhI7z6/IdFut6O6oQ1+Ro0oS02URiMCZkxHxY6daEo7DM+pvMmQ\nXANLNJGLqb9ajkuNbnCztWLkortFeczuK9HNfVeiaxrbcPRsBY7lVnbv5Wx0V2NyYhBS4gIQ4quH\nr687amr63yEwdypudgrU+kwcOFqLQ5mt6Gg9hKSFrv/xt83SiYq/vQtzZgbUg8IR/NyPoXB3jmVF\nUtOoFUgdEYjUEYGob27HifNVOHausnsfdJ2bAmNi/DEhPrDPTklsNneiw2KFXy+XcnxdyKIFqPzs\nc9Tv3gHDhAmQKZ3v3gyib2OJJnIxx7aehl0wICnWHUqNOFdodW4KqFXy7jLrKJ0WK84U1OBITgXy\nihoAXNunOjUuAClxARgWZoRM5nw3UTmT6MlJUGuvHRN+vECG9jVfIOVB191j19rWhvK330TbhXxo\nhsUg+JmVkLk59hhvV+VlcMPMcYMwY2wYSqpNOJZbiRPnq7rXT4f46jAxPgjjYv3hrnVcCa36aj20\nmCVa5ekJz7umoWHvbjR+uQ9eM2aJ9thEjsISTeRCynMuoqTdHe72FsTPFe+HjCAI8DG4OeRKtN1u\nR1FVC9KyK3D8fBXavlquMTTUExPiAzFqqB/Uqv59g6DYwkbHYI5Ojd1bLyCrTIP2v+3G5MdnQOZi\nW/t1NTej7I+vo6O4CPrkkQh44klegbwNgiAgzN8dYf7uWDw1Eueu1CMtuwJZl2rx0ZcXsfHgJSRG\n+2JSfCCGh3uJ/ovpv28qFPdGR6+Zs9GUdgj1u3bAI3Ui5O69X6pG5Egs0UQuJH3veUDwwJixgZDJ\nxS2e3h5uKKs1o7W9C1q33r81mNosSD9XibTsCpTWXNtT1lOvwl3JgzAhPlD0H8ADTcDwCMzXumHH\n+kzk1+vQ/vYu3PvDWZC7yI4llro6lL7xf7BUVcJj0mT4LX/YKY7xdjVymQzxkT6Ij/RBc2sn0nMr\nkZZTgdP51TidXw0vgxqpcYGYEB8IX09xrhxXN17b3s5PpMe7Tq7TwXvuPNR8vB51O7fD7/4HRH18\nIrGxRBO5iMK0bFTbPOAtNCFqyiTRH//r29xp3e7sFDKbzY7zV+uRllOBzIs16LLaIZcJGDnEFxMT\nAhE72MvlD0JxJl7hQVj4qBrb3zuGq63u2PnHnZj19AzRlvk4SmdlJUrf+B266uthnDELPt9b7JR7\nIbsag1aF6WPCcO/oUFyuaEZadgVO5lVhx7Gr2HHsKmIGGTExPhDJQ3x7ddx4tQOWc1znOeUuNH65\nD40H98Nz6t1QBQSI/hxEYmGJJnIBNpsNJ44UAYIBKXcPccjH9l/f5i7Ur2clutHUgbScChzOKu9e\nEhLko8PE+ECkxAaIsg0WfTf3AG8s/OEUbH93P8q7PPDpn/Zi7tP3QK13ziv9HSXFKH3j97C2NMNn\n4SJ4zZojdaR+RxAERAZ5IDLIA/ffHY3TF6qRll2OvKIG5BU1QOd27WbFyYlBd3RYSlVDG5QKGTzd\nxf9lTVAo4LNoMSr+8g5qN29E0NM/Ev05iMTCEk3kAs7tSkeTYECQsgmho6Y45Dm+fiX6dtjsduRd\nbcDBrDJkXayF1WaHWinHpIRATEwIQkSgc5601h9pPN2x4Nnp2Pn2Z6iyemDr2/tw35OTe3UUvCO0\nFV5C2ZtvwNbWBr8HHuJWZn1ArZJ37+5RWd+KtJxyHM2pwOenSvD5qRIMC/PElKRgJA/xva1TP7u3\nt/PUQOagf9/65FFwi4qGKfMMWgsuQDukfx8uRK6LJZrIyXWYWnE6pwmCTI3UeSMd9jy3e+BKc2sn\njuZU4FBWefcR3CG+ekxNCsK42ABo1HxbkYJK44b7Vs7Ennf2oLTTA1v/chj3PT4e7n7Osddya955\nlL39JuwWCwIefQKGlPFSRxpwAry0WDwlCgsmRiCjoAaHsq5dnc4vboS7VokJ8YGYnBh807XOpjYL\n2jq64Bfm6bCcgiDAd8kylLz6a9R88jHCfvErrpcnp8SfdkRO7vjHh9Au12KosRU+USEOe57rV6Jr\nv+NKtN1ux4XiRhzMKsOZCzWw2uxQKmRIHRGAKYnBiAjiVWdnoFCrMGvlHHz+59242uqOrf9Ix33L\nR8EzTNp1pabMDFT89c8AgKAfPAN9UrKkeQY6hVyGMTH+GBPjj8r6VhzKKsORnArsOV6MPceLETvY\nC1MSg5AQ5fMfV6cduR766zQRkXAfMxYtJ0+g5dRJGMb2n4OFqP9giSZyYvVXy5FfrYTa3obx94t/\nM+HXeehVUMiFb1yJNrVZcOxsBQ5mlaOy/tod+UE+OkxODML4uADo3KQ9epj+k1whx/RnZuPA3/ag\noFGPbWsyMGdpvEN/AbuZ5uPHUPnePyAolQh+5lloY4ZLkoO+W4CXFkvvisbCSRE4faEGBzPLcO5K\nPc5dqYeHXoVJ8UGYlBDU/UnVv0u049fc+yxYBFPGGdRu3gh9YhJkaue+YZYGHpZoIieWtvkUbDIP\nJA9Vw81wZztm3C6ZIMDL3Q0l1S3448ZsqJRyZF2sRZfVBoVcwLhYf0xJDEZ0iAevOjs5mUyGqStm\nQvX+58it1mL7hrOYNa8DvlMT+zRH44H9qF6/BjKNBsHP/hiayKg+fX66fUqFHCmxAUiJDUBZjQkH\ns8pxLLcSO45dxc70q4iP8MaUpGBUfPXLtKOvRAOA0tcXnvdMR8OeXajfsxM+87/n8Ock6gmWaCIn\ndfloDsotHvC0NyP+vtl98px3JQfjs1MlyCmsAwD4GzWYnBiM1BEBDj0BjcQnk8kw8dEZUK37Ehkl\nGuzcfgluKjk8h4T3yfPX796J2i2bIHc3IOTHL0AdGtYnz0u9F+yrxwP3DMGiKZE4mVeFQ1nlyC6s\nQ3ZhHa7/+uwv8h7RN+I9ey5ajqejYe8eGFImQOXv3yfPS3Q7WKKJnJC1y4pjh4oAmTtSp0WLfrDK\njdw7Jgz3jgmDqc2CJlMHgnx0vOrs4sY+cDdUWw7h+AUlPtl0EdMmNyMiNd5hz2e321G7ZRMa9uyC\nwssLIT/+Kff6dVFqpRwT44MwMT4IRZUtOJBZhuPnK6FVK+D11T0UjiZzc4PvkmWo+OufUbNhPYJX\nPt8nz0t0O1iiiZxQxuZDaJG5I8ytGWGjp/T58+s1Sug1XO/cXyQtnAzlrnQcyWnFF4eqMaXtNIZO\nGyX689htNlR/tBZNB/ZD6e+PkB//FEpv59gdhHpnUIA7Hpk5DEvvioLdbhf9KPGb0Y8aDc2hGJhz\nsmHKyoQ+ManPnpvoZrhnDJGTMdc0IrvQArnNgomLU6SOQ/1E3OwUzL3r2kfhB041I3fnMVEf3261\novK9v6PpwH6oQkIR+tNfsED3Qxq1Ato+vqFYEAT4fX85IJej5uP1sFk6+/T5iW6EJZrIyRxcdxgW\nmRpxIYAh2FfqONSPJM5Jwb1T/CGzW5F2th0Zmw6K8rg2SyfK//I2Wo6nwy0iEqE/+TkUHs510Au5\nNnVQMIx33wNLbQ0a9u6ROg4RAJZoIqdyOS0bxe0GuNtaMPb+qVLHoX5o8PgRmDUjDEq7BScuAcfX\n7uvV49na21H+pz/CnJUJzbAYhPz4J5Dren6UNNGteM2dB7mHB+p374SlpkbqOEQs0UTOwtLWgSNp\nJYDdjkn3REGu5C0L5BghyUMxZ3401NY2ZJYqcPife2Cz2Xr8ONZWM0r/8Hu05p2HLjEJwc8+D5lb\n39xwRgOPXKOB7+KlsFssqFq3Bna7XepINMCxRBM5ifT1B2CW6RHpbkLY6Bip41A/FzA8AvctGwGN\ntRXnajT48t3dPSrSXc3NKP2/1WgvvAT3sSkIeuppyJTcBpEcy31sCrQxsWjNzUHLiXSp49AAxxJN\n5ARqLhTjfLUSamsbJj4wWeo4NED4RIZg/sOjoLOZcKlZj71v7YS1y3rL/52lvg4lv30VHSUl8Jg8\nFQGPPQFBwU9OyPEEQYD/Q49AUKlQ/fF6dDU3Sx2JBjCWaCKJ2Ww2HNiWCbsgx9gkT2iMBqkj0QDi\nGeKH7z2eCoOtBUVtBux6cye6Om68+0FnVSVKVr8KS1UljDNmwW/5QxBk/FFCfUfp6wufhYtgM5lQ\n8/E6qePQAMZ3PiKJnd1xFHV2D/jLmhAzY6zUcWgA0vkZsfAHk+GFZpRZPPDpm3vQaW77j+/rKClB\nyW9fRVd9HXwWLoLvoiU8jIck4XnXNLhFRKLl5AmYsjKljkMDlFOUaJvNhhdffBHLli3Dgw8+iOLi\nYqkjEfWZ+qoWKG0dmLJkNGS8okcS0RgNmP/MNPgKTai2eWDrW5+jrbGl+79vu1yIkv97DdbmZvh9\nfzm8Zs2RMC0NdIJMBv9HHoWgUKBq7QewtrZKHYkGIKf4ib1v3z5YLBZ8/PHHeOGFF7B69WqpIxH1\nmcmPz8BDz0+GV3iQ1FFogFPrtZi3cgYCFU2ohwe2/uUAzDWNaDqShtL/Ww1bezsCHnsCnndNkzoq\nEdRBwfCaPRfWxkbUbvpE6jg0ADlFic7IyMDEiRMBAAkJCcjNzZU4EVHfkclkUGm4LRg5B6VGjbnP\nzkaYWzOaBAM2v3sIxWvWQ1AqEfTMShhSUqWOSNTNa+ZsqIJD0HT4ICwNDVLHoQHGKUq0yWSCXq/v\n/rNcLr+jPUuJiKj35EoFZv5oNiL1LTArPZARPhdez/0S+vhEqaMRfYOgUMD/B89APud+npJJfc4p\n9iTS6/Uwm83df7bZbLdcG+rr6+7oWAMK5ykezlJcnKe4ejLP+19ahi8+PoETZ2qx+7MSPPhkMHz8\n+f/HdXxtiutO57lx9wXk5avx3BIVDB4akVO5Lr4+Hc8pSnRycjIOHDiAmTNnIisrC0OHDr3l/6am\npuWW30O3x9fXnfMUCWcpLs5TXHcyz+R74iAYinH8wGW89/ZRzFkSD98A/nDma1NcdzrPwvwa5OVU\nICDEA+0dFnTUdDkgnevh61M8N/tlxClK9D333IOjR49i2bJlAIDXXntN4kRERHRd0tgwqFQKHP6s\nANs/ysKsxfEIDOFH5ySt9jYL0r4ogFwuYMrModxukfqcU5RoQRDw8ssvSx2DiIhuIDYpCCq1HF/u\nyMPODdmYsTAOoYO9pI5FA9ix/YVoM1swbkoEjN5aqePQAOQUNxYSEZHzix7ujxkL42C32bF701lc\nvlAjdSQaoEqu1OPC2Ur4+OuRMCZE6jg0QLFEExHRbQuP9sGsxfGQyQR8vu0cLuRWSh2JBhhLZxcO\n7bkAQQCmzhrKQ6pIMnzlERFRj4SEGzF3WQKUKgX278xHbkaZ1JFoADlx6ApamjuQNC6Mu8WQpFii\niYioxwKCPTD/gURodEqkfX4RGelFUkeiAaCqvBlnz5TB00uDkamDpI5DAxxLNBER3RFvPz3mP5AE\nvUGNE4eu4PjBQtjtdqljUT9ls9mR9nkBAGDyjKFQKOQSJ6KBjiWaiIjumKeXFvMfSIKHUYPM4yVI\n+/wiizQ5RH5OBWoqTYge7oegME+p4xCxRBMRUe+4e7hh/vIkePvqcC6zHPt35sNms0kdi/qR9jYL\njh+8DKVKjpSpkVLHIQLAEk1ERCLQ6lSY90Ai/IMMKDhXhc+3noe1i0WaxHHi8BV0tHdhVGo4dO5q\nqeMQAWCJJiIikajdlJi7LB7Bgzxx5WItdm86C0unVepY5OJqKltwPrMcRm8tRowKljoOUTeWaCIi\nEo1SpcCsxSMQHuWN0qsN2LEhGx3tFqljkYuy2+1I+/wiAGDCPdGQy1lbyHnw1UhERKJSKOS4d0Es\noof7oaqsGZ+uz0KruVPqWOSCLpytRFV5MyKH+SIk3Ch1HKJvYIkmIiLRyeUy3D03BsOTglBXbcan\n6zJham6XOha5kM6OLhw/eBkKpQzj7+LNhOR8WKKJiMghBEHApHujkTg2FI31bdi6NhNNDa1SxyIX\nkXWiBG2tFiSNC4Pe4CZ1HKL/wBJNREQOIwgCxk2JwJhJg2Fq7sC2tVmoqzZJHYucnKm5HdknS6DT\nq5AwOlTqOETfiSWaiIgcShAEjBw/CBPuiUKruROfrs9CVXmz1LHIiZ08fAVdXTaMmTQYShVPJiTn\nxBJNRER9YsTIEEydPQydHV3Y8XE2yooapI5ETqimsgUXcqvg7afDkLgAqeMQ3RBLNBER9ZlhIwJw\n7/xYWLts2PVJDq5eqpU6EjkRu92OY/sLAQDj74qCTCZInIjoxliiiYioT0UM9cWsxSMgCAL2bs7F\nhdxKqSORkygqrEN5cSPCIr24pR05PZZoIiLqc6GDvTBnWQKUKgX278xHzqlSqSORxGw2G9IPXIYg\nAClTuKUdOT+WaCIikkRgiAfmP5AIrV6Fo19ewsnDV2C326WORRLJy65EY10rYhIC4eWrkzoO0S2x\nRBMRkWS8/fRYsDwJBk83nDlWhMOfFcBmY5EeaLosVpw5dhUKhQyjJ4RLHYfotrBEExGRpAyeGix4\nMBnefjqcz6rAvu3nYe2ySR2L+tCZ40Uwt3QibmQwtHq11HGIbgtLNBERSU6rU2He95MQGOqBwvwa\n7N50FpbOLqljUR+wWKw48uUlKFVyJI7lwSrkOliiiYjIKajdFJizJB7hUd4ovdqA7R9lo621U+pY\n5GDnMspgbunAiFHB0GhVUschum0s0URE5DQUSjmmL4zF0Dh/VFe0YNu6LJia26WORQ7S2dGFzOMl\nULspkDiGV6HJtbBEExGRU5HJZJg6exgSxoSgsa4VW9dmoqHOLHUscoCzZ8rQ3mbBuMmRULsppY5D\n1CMs0URE5HQEQUDK1EiMmxIBU3MHtq3NRHVFs9SxSEQd7V3IPnntKvS4SYOljkPUYyzRRETklARB\nQNK4MEyeMQQd7V3Y/lE2Sq82SB2LRJJzuhQd7V1IHBvKq9DkkliiiYjIqQ1PDMI982Jhtdqwa2MO\nCvNrpI5EvdTRbkHOqRK4aZUYMTJY6jhEd4QlmoiInF7kMF/MXhwPuVyGLz49h/NZ5VJHol7IzShH\nZ4cViWNDoVQppI5DdEdYoomIyCWEhBtx3/0JULspcWhvAU6l8ZhwV2SxWJFzqhQqtQKxiUFSxyG6\nYyzRRETkMvwCDVjwYBLcPdxw+mgRDu0tgM3G0w1dSX5OBdrbLBgxMhgqNa9Ck+tiiSYiIpfi6aXF\nwgeT4OOvR152BfZuOQeLxSp1LLoNVqsN2SdKoFDIMGIU10KTa2OJJiIil6PVqzHv+4kICTei6FId\ndvB0Q5dQmFeNluYODIsP5OmE5PJYoomIyCWp1ArMWjwC0bF+qCpvxra1mWhubJM6Ft2A3W5H9qlS\nCAKQMCZE6jhEvcYSTURELksul+HuOTFIHBuKxvo2bF2TidqqFqlj0XeoKGlCbZUJg4f4wOCpkToO\nUa+xRBMRkUu7frph6t1RaDV3Ytu6LB7K4oRyTpcCAOJHh0qchEgcLNFERNQvxI8OwT3zhl87lOWT\nHFw8XyV1JPpKc2MbrhTUwjfAHQHBBqnjEImCJZqIiPqNqBg/zFkSD4VShn3b85B9skTqSATg7Oky\nANd+0REEQeI0ROJgiSYion4leJAR8x9IglavwrH9hTj25SUeyiIhi8WK/LMV0OpViBzmK3UcItGw\nRBMRUb/j7afHwgeT4emtRfapUnzx6Xl0dXEvaSkU5lWjs8OKmPhAyOWsHdR/8NVMRET9kruHGxYs\nT0JgiAcK82u4l7REzmWVAwBiEgIlTkIkLpZoIiLqt9w0SsxZFo+oGD9UljVj65pMNNa3Sh1rwKit\nMqG6vAVhkV5w93CTOg6RqFiiiYioX1Mo5Jh2XwySU8LQ1NCGrWsyUFHaJHWsAeF89rWr0MMTgyRO\nQiQ+lmgiIur3BEHA2MkRmDxzCDrau7DjoyxcyquWOla/Zum04uK5KujcVRgU6SV1HCLRsUQTEdGA\nMTwhCLMWx0Mml+GLT88j83gxd+5wkCsXa9HZYcWwEYGQyVg3qP/hq5qIiAaUsAgvzH8gCTp3FY4f\nvIzDn1+EzWaTOla/U3Du2mE30bH+EichcgyWaCIiGnB8/K9tgeftq8P5zHLs2ZwLS2eX1LH6jVZz\nJ0qv1MMv0B1Gb63UcYgcgiWaiIgGJL3BDfOXJyF0sBHFhfXYti4L5pYOqWP1C5fOV8NuB4bwKjT1\nYyzRREQ0YKnUCsxcNAIxCYGorTJh84cZqKs2SR3L5RWcq4QgAJExflJHIXIYlmgiIhrQ5HIZJs8Y\ngnFTImBu6cDWtZkoKqyTOpbLaqg1o6bShNAIL2h1KqnjEDkMSzQREQ14giAgaVwY7pk3HDabHXs2\nnUX2qRLu3HEHrm8dGD2cSzmof2OJJiIi+kpUjB/mfT8RGq0Kx74sxOHPCmC1cueOnrhysRYyuYDw\nKG+poxA5FEs0ERHR1/gHGfC9h5Ph46fH+awK7PokB+1tFqljuYTmxjbUVZsREm6ESq2QOg6RQ7FE\nExERfcu1nTsSMTjaB2VFjdjyYQYa61uljuX0rlysBQAMjvaROAmR47FEExERfQelSoHpC2ORNC4U\nTQ1t2PJhBkqvNkgdy6ldLbhWormUgwYClmgiIqIbEAQB46ZEYuqsobB0WrHrkxyczyqXOpZTamvt\nREVpEwKCDdDq1VLHIXI4LlgiIiK6hWHxgTAYNfhsSy4O7S1Ae6sFiePCIJMJUkdzGkWX6mC3A+FD\nuJSDBgZeiSYiIroNQaGe+N7DI2H01uLE4SvYs/ksOjt4VPh1XA9NAw1LNBER0W0yeGqw4MFkRA71\nRXFhPbasyUBzY5vUsSRns9lQVtQID6MGnl5aqeMQ9QmWaCIioh5Quylw/2NjMGJkMBpqW7H5gzMo\nKxrYNxzWVJpg6bQieJCn1FGI+gxLNBERUQ/J5DJMuCcak2cMQWeHFTs+zsbZ06UD9oTD679EBA8y\nSpyEqO+wRBMREd2h4YlBuO/+BLhplDiy7xIO7r4Aa9fAO+GwvLgRABAUxivRNHCwRBMREfVCYKgn\nFj0yEr4BeuSfrcS29Zkwt3RIHavPWK02VJQ0weijhVankjoOUZ9hiSYiIuolvcEN8x9IwpBYf1SX\nt2DTB2dQVd4sdaw+UVXejK4uG4LDuJSDBhaWaCIiIhEolHLcNWcYUqZGos3ciW3rMpGfUyF1LIcr\nL7q2lIM3FdJAwxJNREQkEkEQkDg2FLOXxEOhkOPA7gs48sVFWK39d5309ZsKuR6aBpo+PbHQbrdj\n0qRJCA8PBwAkJyfj+eefR1ZWFl599VXI5XKkpqbimWee6ctYREREogod7IVFjyRjz+ZcnD1Throa\nM+6dPxwabf9aM9xlsaKyvBk+/nq4aZRSxyHqU31aoouLixEbG4t33333G19ftWoV3nrrLYSGF9F5\nQAAAHFJJREFUhmLFihXIy8tDTExMX0YjIiISlYdRi4UPJuPLnXm4erEOmz/IwMzvxcHbTy91NNHU\n1Zhhs9oREOwhdRSiPtenyznOnTuH6upqPPTQQ1ixYgWuXLkCk8mEzs5OhIaGAgAmTJiAY8eO9WUs\nIiIih1CpFZixMA4jUwehpakdW9Zk4OL5Kqljiaau2gQA8PHvP78YEN0uh12J3rhxIz788MNvfO2l\nl17Ck08+ienTp+PMmTP4yU9+gnfeeQd6/b//8el0OpSUlDgqFhERUZ8SBAFjJg6Gj58e+3flY9/2\nPFSXt2Dc1AjI5a59a9L1Eu3tp5M4CVHfc1iJXrx4MRYvXvyNr7W3t0MulwMARo4cierqauh0OpjN\n5u7vMZlMMBgMt3x8X193cQMPcJyneDhLcXGe4uI8xdPTWfr6uiMy2heffHAaOadL0VjfikUPjoTe\n4OaghI7XVN8GQQCGxARAqZT36rH42hQX5+l4fbom+p133oGHhwcef/xx5OfnIygoCHq9HkqlEiUl\nJQgJCcHRo0dv68bCmpqWPkg8MPj6unOeIuEsxcV5iovzFM8dz1IGzPt+Ig7uuYDC/Bq8+/oh3Ds/\nFoEhrrem2G63o7K8GZ5eWjQ2tvbqsfjaFBfnKZ6b/TLSpyV6xYoV+MlPfoJDhw5BoVDgtddeAwC8\n/PLLeOGFF2C1WjFhwgTEx8f3ZSwiIqI+o1IrcM+84fALLMXxg4XYvj4LKXdFYsTIYAiCIHW829bS\n1A5Lp7Vf3ShJ1BN9WqLd3d3/Y2cOAEhISMCGDRv6MgoREZFkru8n7RugxxefnsfRfZdQXd6MyTOG\nQqnq3bKIvlJbxZsKaWBz7TsaiIiIXFjwICMW/dco+AcbcPF8NbasyUBTQ++WRvQV3lRIAx1LNBER\nkYT07mrM+34i4pKDUF9jxqb3z+DqxVqpY91SXfW1TQG4nIMGKpZoIiIiicnlMky8dwjumjMMNqsd\nezbn4sThy7DZ7FJHu6HaahPctEpodf3rFEai28USTURE5CSGxgVgwYPJMHi6IeNYMXZ9koNWc6fU\nsf5DZ0cXWpra4eOnd6mbIYnExBJNRETkRHz89Vj0yEgMivRG6dUGbPrXaZSXNEod6xu4HpqIJZqI\niMjpqN2UmLkoDuOmRKDV3Int67OQebwYdrtzLO+or/1qPbQv10PTwMUSTURE5IQEQUDSuDDM+34i\ntDoVjh+8jD2bctHeZpE6Gswt15aY6A1qiZMQSYclmoiIyIkFhnpi0X+NQki4EUWFddj4r9OoKm+W\nNNP1ddq8qZAGMpZoIiIiJ6fVqTB7STxGTwyHqbkD29ZmIudUqWTLO9qul2g9SzQNXCzRRERELkAm\nEzAqNRxzlyVA7abA0S8v4bOt59DR3tXnWVpbOyGTC1Cp+/TgYyKnwhJNRETkQkLCjVj86CgEhXrg\nSkEtNr1/GjWVLX2aoc1sgUar4vZ2NKCxRBMREbkYnV6NufcnIDklDM2N7di6JgPnMsv6ZHmH3W5H\nq7kTWp3S4c9F5MxYoomIiFyQTCbD2MkRmLV4BJQqOQ5/dhH7tp93+PIOS6cV1i4bNLypkAY4lmgi\nIiIXNijSG4v/axQCQgy4lFfj8N07uDMH0TUs0URERC5Ob3DDvO8nYuT4QWhpase2tZnIOuGYw1mu\n78zBK9E00LFEExER9QMymQxjJg3G3GUJcNMokX7gMnZtPNt95Vgs3VeitSzRNLCxRBMREfUj13fv\nCI3wQsnlemx87zRKrzaI9vht5msnJmp4YyENcCzRRERE/YxWp8LsxSOQMjUC7W0W7Pg4GycOX4bN\nZuv1Y3NNNNE1LNFERET9kCAISBwbhvnLk+Du4YaMY8X4dH0WWprae/W4ba0s0UQASzQREVG/5h9k\nwOL/GoXIYb6oLG3GJ++dxuULNXf8eK28sZAIAEs0ERFRv6d2U+CeecMxeeYQ2Kw2fLb1HA5/XoAu\ni7XHj9Vq7oRMJkDtxiO/aWBjiSYiIhoABEHA8IQgfO/hkTD6aHEuoxybPjiDumpTjx6nzWyBRqfk\nkd804LFEExERDSBevjosengk4pKD0FDbis0fnEHOqdLb2lPabrejzdwJDbe3I2KJJiIiGmgUSjkm\n3jsEMxfFQalS4OiXl25rT2lLpxVdXTZo9SzRRCzRREREA1R4lA+WPjYKoYONKLlcjw3/PIWiS3U3\n/H4etEL0byzRREREA5hWr8bsJfEYf3ckOju6sHvTWaTd4KZDHvlN9G8s0URERAOcIAhIGB2K7z10\n7abD3BvcdNjK0wqJurFEExEREQDAx1+PRQ+PROwNbjrkQStE/8YSTURERN0USjkm3eCmQx75TfRv\nLNFERET0H77rpsOSy/UAuCaaCGCJJiIiohv49k2H1RUt177OEk0EntlJREREN3T9psPgMCP27TiP\nrk4rj/wmAks0ERER3QYffz2WPjYaVquNR34Tgcs5iIiI6DYJggCFQi51DCKnwBJNRERERNRDLNFE\nRERERD3EEk1ERERE1EMs0UREREREPcQSTURERETUQyzRREREREQ9xBJNRERERNRDLNFERERERD3E\nEk1ERERE1EMs0UREREREPcQSTURERETUQyzRREREREQ9xBJNRERERNRDLNFERERERD3EEk1ERERE\n1EMs0UREREREPcQSTURERETUQyzRREREREQ9xBJNRERERNRDLNFERERERD3EEk1ERERE1EMs0URE\nREREPcQSTURERETUQyzRREREREQ9xBJNRERERNRDLNFERERERD3EEk1ERERE1EMs0UREREREPcQS\nTURERETUQyzRREREREQ9xBJNRERERNRDLNFERERERD3EEk1ERERE1EMs0UREREREPeTQEv3FF1/g\nv//7v7v/nJWVhSVLluD+++/H22+/3f31t99+G4sXL8ayZcuQk5PjyEhERERERL2mcNQDv/LKKzh6\n9CiGDx/e/bVVq1bhrbfeQmhoKFasWIG8vDzYbDacOnUKGzduREVFBX70ox9h06ZNjopFRERERNRr\nDrsSnZycjFWrVsFutwMATCYTOjs7ERoaCgCYMGECjh07hoyMDKSmpgIAAgMDYbVa0dDQ4KhYRERE\nRES91usr0Rs3bsSHH374ja+99tprmDVrFk6cONH9NZPJBL1e3/1nnU6HkpISqNVqeHp6fuPrJpMJ\nRqOxt9GIiIiIiByi1yV68eLFWLx48S2/T6/Xw2w2d//ZZDLBYDBAqVR+4+tmsxnu7u63fDxf31t/\nD90+zlM8nKW4OE9xcZ7i4SzFxXmKi/N0vD7bnUOv10OpVKKkpAR2ux1Hjx7FqFGjkJycjCNHjsBu\nt6O8vBw2m+0bV6aJiIiIiJyNw24sBABBECAIQvefX375ZbzwwguwWq2YMGEC4uPjAQCjRo3C0qVL\nYbPZ8NJLLzkyEhERERFRrwn263f+ERERERHRbeFhK0REREREPcQSTURERETUQyzRREREREQ9xBJN\nRERERNRDTluiGxsbpY7Qb3CW4uI8xcV5iqOrqwsbN27EqVOn0NnZKXUcl8d5iovzFB/fO8Vzp7OU\nr1q1apW4UXrHarXizTffxLp161BcXAydTgc/Pz+pY7kkzlJcnKe4OE/xFBYW4oknnoBSqUR2djaK\niooQFhYGnU4ndTSXxHmKi/MUF987xdPbWTrdlegDBw6guLgYq1evhk6nw8aNG5GTkwMA4G58PcNZ\niovzFBfnKZ7q6mrMmDEDv/rVr/Doo4+is7MTGzZskDqWy+I8xcV5iovvneLp7SydokQXFhZ2f7xT\nUFCAlJQU+Pj4YPbs2YiKisKnn34KAN84uIW+G2cpLs5TXJynOKqrq/G///u/2LVrF0pKSmA2m3Hi\nxAkAwODBgzF+/HiUlZXhwoULEid1DZynuDhP8fG9UzxizlLSEm0ymfDrX/8aP/3pT/G73/0O27Zt\nQ2pqKv71r38BAPz8/DBy5EgIgoC8vDwpozo9zlJcnKe4OE/xFBYW4mc/+xn8/f3R1taGZ599FtOm\nTUNtbS327dsHpVKJoKAgGI1G1NfXSx3X6XGe4uI8xcX3TvE4YpaSlugzZ86goaEBmzdvxkMPPYQ3\n3ngD4eHhiIiIwN///ncAwKBBg2A2m7l26hY4S3FxnuLiPHvPZrN1/6eXlxeefPJJLFq0CCEhIfj7\n3/+OF198EX/4wx8AAAEBAaiqqoKbm5uUkZ0a5ykuztMx+N4pHkfMUuHIwN/FZrPBbrdDLpdDLpfD\n29sbzc3NCAsLw4IFC/Dqq69i1apVuP/++5GcnIyGhgaUl5fDarX2dVSnx1mKi/MUF+cpLpns2jUP\nk8kEX19fXLhwAUOHDsWLL76IhQsXYtmyZRgzZgxeeeUVXL58GQaDAYGBgRKndl6cp7g4T/HwvVM8\njp5ln+3OUVdXB61WC0EQIJPJYDKZUFtbiytXriA4OBi+vr5ISUnB73//e0ybNg1JSUk4efIkvvzy\nSzz33HMYNmxYX8R0CZyluDhPcXGe4mhubsbmzZshl8thMBigUCiwceNGDBs2DOnp6dBqtfDz84OX\nlxeqq6tRXFyMZ555BoMHD0ZwcDB++MMfQq/XS/3XcBqcp7g4T/HxvVM8fTVLh5dok8mE3/3ud9iy\nZQvq6uqg0+kgCAJef/11LFiwACdOnEBHRwd8fHzg7u6OpqYmGAwGTJw4EePGjcO8efMQEBDgyIgu\ng7MUF+cpLs5TPGfOnMHKlSthMBhw6tQpVFRUICEhAcXFxUhOTkZnZyeysrJgsVgQHR2NQ4cOYfTo\n0Rg0aBA8PT0REREh9V/BqXCe4uI8xcX3TvH09SwdXqI3bdqE2tpa/OxnP0Nubi6OHDmCsWPHYvbs\n2VCpVPD09ERGRgZOnTqFoqIibN++HUuXLoWnp6cjY7kkzlJcnKe4OE/xZGRkIDY2Fk8++ST8/PyQ\nkZGBkpISLFy4EAAQFRWF9vZ2HDx4EOvWrYPFYsGiRYug0WgkTu6cOE9xcZ7i4nunePp6lg4p0QUF\nBfD09IRMJsOWLVtw9913IyYmBkFBQSgpKUFGRgZSUlIAAP7+/oiOjkZDQwMqKyvx05/+FIMGDRI7\nksviLMXFeYqL8xRHYWEh/vjHP8JqtcLT0xNZWVnIycnBtGnTYDAYoFQqceTIEYwYMQJ6vR4NDQ2I\njY3FqFGjkJycjOXLl7OgfA3nKS7OU3x87xSPlLMUtURXV1dj1apV2LFjB/Ly8qBQKODl5YX3338f\nCxcuhFarhVKpxLlz5zB48GDIZDJ89NFHSE1NRXx8PFJTU+Hh4SFWHJfGWYqL8xQX5ymeM2fOYPXq\n1Rg7dizq6urw3nvv4Re/+AVeffVVjBs3DoGBgbDZbLhw4QLCwsKg1Wrx2muvYcSIEfDx8YG3t7fU\nfwWnwnmKi/MUF987xeMMsxR1i7vDhw9Dp9Nh/fr1mDlzJl566SVMnz4dbW1t2LNnD+RyOYKCgtDa\n2gqj0Qh3d3eEhISIGaHf4CzFxXmKi/Psvet3f3d2diI8PBzLly/HY489BrPZjC+++ALPPfccfvOb\n3wAAwsPDUV5eDp1OB71ej1deeQX+/v5Sxnc6XV1dADhPsfD16Rh87xSPM8yy1yXaZrN17w+pVqth\nNBrR0dGB0aNHIzk5Ge+++y5efvll/PnPf0Z+fj6OHDmCmpoatLe3AwCmTZvW2wj9htVq5SxFZLfb\nu38QcJ69x9eneK5vuQRcKylGoxFFRUUAgF/+8pd4/fXXMW/ePHh5eWH16tVYvnw5jEYjjEYj7HY7\nFIo+353UaTU3NwNA90w4z96z2Wx8fYrIbrfzvVMkztY573g5R01NTfddj4IgwGQyoby8HBUVFQgO\nDoaXlxdSUlLw4osvYsWKFfDz80NaWhqys7Pxs5/9jL9ZfU1VVRX0ej1kMhlnKYILFy7A3d0dCoWi\ne2sbzvPO8fUpjvLycrzzzjsQBKF7W7BNmzZh6NChOHr0KHx8fODr64uQkBBkZ2dDEAQ8/vjjCAgI\nwPDhw/HII4/Azc2Nx/p+paysDKtXr0ZDQwOioqJgNpuxd+9eREdHc553oLy8HBs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0Ejvx3wReOeCc3Tf+ThcZBYpCtZtaon/bm4PTCX2kFbrOFRYWsGTJdxd9/IU+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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", "pyephem_tus = pvlib.solarposition.pyephem(times, tus)\n", "pyephem_joh = pvlib.solarposition.pyephem(times, johannesburg)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(pyephem_tus['apparent_zenith'], pyephem_tus['apparent_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(pyephem_joh['apparent_zenith'], pyephem_joh['apparent_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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nJqYDI0eOpby8nNtvHyFFtBANRf+OTVm+9SwbDpxjSNew67oVVpSeC4Crs/3H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6HdVmI2TCXwgcfek5hRVFq0Vj8sFZXX1Odfy0KQuAkTKtXYtYu/wg6XvcO6i6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\nwueff44xY8bg/fffBwCEhIRg6NChEAQBhYWFckZ1eZyltDhPaXGe0jl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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", "pyephem_tus = pvlib.solarposition.pyephem(times, tus)\n", "pyephem_joh = pvlib.solarposition.pyephem(times, johannesburg)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(pyephem_tus['apparent_zenith'], pyephem_tus['apparent_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(pyephem_joh['apparent_zenith'], pyephem_joh['apparent_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": [ "" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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l0r+UT/8qK58hB0reFmJjIpT7Mig//qV8+pfyGXgBK6KzsrK48847GTduHB06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\n", 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+nMOAAQ+wePFPPPHEI7z//jv06XMbUFbAJiW1JTq6ATNmfMR99z3A/Pk/8sQT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\n3ZLCgaxcdixeT/r6LLKOB5OWYyFt9k6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hludEGnD1cmx7AWWlHbT5baBSoQ74iDO4yVqQ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\nTiwEUKlUqFSq4dsPPvgg3/rWt/D5fKxcuZJ58+YBsGjRIm699Vb8fj8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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", "pyephem_tus = pvlib.solarposition.pyephem(times, tus)\n", "pyephem_joh = pvlib.solarposition.pyephem(times, johannesburg)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(pyephem_tus['apparent_zenith'], pyephem_tus['apparent_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", "\n", "tracker_data = pvlib.tracking.singleaxis(pyephem_joh['apparent_zenith'], pyephem_joh['apparent_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')" ] }, { "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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HjmvPkTKr4wAIAJRoAPgKp8ut91YfUojDpitHdbY6DnzEMAzNyOwuSXo964BM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\nf/+Nj48Po0aNIigoiJkzZ8qAco/OnsHBwbS1tZG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LGI1GxMXFYd68ebaORURERETUbzYv0Tqdrm+Zp69bt26draMQEREREd0UbvtNRERERDRA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\ngwahUqk4evSoJUvt8CRLZUmeypI8lVNYWMjChQt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Kw9cG1/IMCAhg69ataDQafv/731Nf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\nQog2kiZaCCGEEEKINvp/pAEsvLaxjhQAAAAASUVORK5CYII=\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", "pyephem_tus = pvlib.solarposition.pyephem(times, tus)\n", "pyephem_joh = pvlib.solarposition.pyephem(times, johannesburg)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(pyephem_tus['apparent_zenith'], pyephem_tus['apparent_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(pyephem_joh['apparent_zenith'], pyephem_joh['apparent_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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WLy5C16AT/zgyILocioNWqw1KhYTqUoZoSiwM0URxJkkSLGYjxhxejDu8osuh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\nk+R5F7cfn//+97/Ztm0barWaESNGUF5eTltbG5WVlSQmJtL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BgNejRAOADyqvqtemPSf12Z6TyiuuliQZhpTcIVK9ktqqS3ykEmMi1CE6TIH207PKsbGR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\nVMN7xbjtHqbWOp4thfF0n7P9MOLR5Rz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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", "pyephem_tus = pvlib.solarposition.pyephem(times, tus)\n", "pyephem_joh = pvlib.solarposition.pyephem(times, johannesburg)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(pyephem_tus['apparent_zenith'], pyephem_tus['apparent_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(pyephem_joh['apparent_zenith'], pyephem_joh['apparent_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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2Zsb2TyJcJ6lIVzF27HjGjh0f6jDajdREC9EFjMlJxKcorN1RfkrPd9b6L/tF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\nAElFTkSuQmCC\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", "pyephem_tus = pvlib.solarposition.pyephem(times, tus)\n", "pyephem_joh = pvlib.solarposition.pyephem(times, johannesburg)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(pyephem_tus['apparent_zenith'], pyephem_tus['apparent_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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BPxLAvHNm4vyCsaIjCeHbs/vvBfr+H8Fac57gRPSPcq+9jkUawLShV+Ga8ivQ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\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "irrad_data = pvlib.clearsky.ineichen(times, tus, solarposition_method='pyephem')\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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UkGOd4xAlSdW70ED0I+orGwsx4w+itdejdDmkUYeWPgn5+Hplb/S8GJ0gYMtaN/wLIZw9\nx2vAiVaDIZqIEvLumQkAwBV1boUrubhrlq4if/MkZ0ZT6s0HwjjeOYGCHCvWlqnvQOEHbVn6mT6+\n9DNORBfGEE1EqzYXCKFzYAbVxU7kuixKl3NRVUVOlLrteO/sJHzzvMGQUutY5ziCYREfW1+sygOF\nH1RXng27xYB3z0xwSgfRKjBEE9GqneyeQkSUsHmt+nehgei1xtesL0ZElPBWG2fgUmq9eWoEAoCr\nVXygcCWDXodNa/Ix7VtE34hP6XKIVI8hmohW7b2zkwCAzSq55ns1rmwqgk4QeJEEpdSYZx5dg7No\nqMpBXpb6P7WJWW7pGFe4EiL1Y4gmolUJhSM41TOFghwrSvLVd8HK+WTZTWisykHviJczoyll3lLp\njZ4X01SVC7NRj+OdE5DY0kF0QQzRRLQq7f3TWAxGsGWtOy36O1eKTRJhSwelgiRJeLttDEaDDlvW\npUfrU4zJqEdzTS7GpxcwyjedRBfEEE1EqxJr5diURq0cMVvWuWEy6PBW2xh31yjpBsb8GPXMY+Oa\nfFXPhj6fDbV5AIBT3VMKV0KkbgzRRHRRkiThRNckHFYj1pSqf1TXB1nNBmxam48xzzz6RnlgipLr\n7falGz0b1D1L/XzW10RD9MkehmiiC2GIJqKLGpyYw6w/iPU1udDp0quVIybe0sEDhpRE4lIrh9Ws\nx4baXKXLuSTZDjMqC53oHJhBIBhWuhwi1WKIJqKLal3akWpe2qFKR+tr8mC3GPBOxxhn4FLSdA3O\nYtq3iK3rCmA06JUu55Ktr81DRJTQ3jetdClEqsUQTUQXdapnCgKApur03FkDojNwN691Y8YfRPcQ\nrzWm5Dgaa+VoTM9WjphYXzRbOojOjyGaiC5oYTGMs4OzqCxywmUzKV3OZbmivgAA8E4HZ+CS/ERJ\nwvHOCTisRtRXZitdzmWpKXbBbjHgZPcUD+MSnQdDNBFdUEf/NCKilNatHDGNVTmwmQ043slrjUl+\nXYOzmJ0LYsu6fOh16f141ekErK/Jw7RvEYMTc0qXQ6RKKZ29EwqFcP/992N4eBjBYBDf+MY3UFRU\nhHvuuQdVVVUAgNtuuw2f/vSnU1kWEV3AqV4PAGB9Tfq2csQY9DpsXpePQ6dG0TPkxZqy9Js0Qup1\nrDP6CccVdQUKVyKP9TV5eKttDKd7PSgvcChdDpHqpDREP//888jNzcXjjz+O2dlZ3HLLLfirv/or\n3H333bjrrrtSWQoRrYIkSWjtmYLVbEBNiUvpcmSxrb4Ah06N4ljnOEM0ySbWymG3GFBfmaN0ObJo\nqIr+Pdr6PNh9ZYXC1RCpT0o/b9q9eze+9a1vAQBEUYTBYMDp06fx+uuv44477sADDzyAuTl+bESk\nFmPTC5icDaCxKiftP56OaazKhc1swLHOcbZ0kGx6h72Y9i1i09p8GPSZ8bOS7TCjJN+OM4MzCIVF\npcshUp2U/qTbbDbY7Xb4/X58+9vfxne+8x1s2LAB9913H372s5+hvLwcTzzxRCpLIqILaO+Pjrdq\nqkr/Vo4Yg16HTWvz4fEuop8Xr5BMYq0cWzOklSOmsTIHwZCInmFOtCH6oJTfRzoyMoJvfvObuP32\n23HzzTfD5/PB6XQCAHbt2oVHHnlkVV/H7XYms0zN4XrKJ5PWsmcpZH5scxncbmV6IpOxntddUYHD\nraPoGJzF9g2lsn99Ncuk70+lxdZSkiS81xVte7puW0Vaz4f+oB0bSvDy8UH0Tczh41uT29LB7015\ncT2TL6UhenJyEnfffTf27duHHTt2AAC++tWv4oEHHsCGDRtw5MgRNDc3r+prTUxwB0kubreT6ymT\nTFpLUZLQcmYCOU4zDJKoyN8rWetZnmeFyaDDoZZh3LStXPavr1aZ9P2ptJVrOTjux7hnHtsbCjAz\nPa9wZfIqyrJAEIBjbaP41NaypL0OvzflxfWUz4XejKQ0RD/11FPw+Xx48skn8eSTTwIA7r//fjz2\n2GMwGAwoKCjAww8/nMqSiOg8hibm4F8I4ermIghCel71fT5mox5N1bl47+wkRj3zKMq1KV0SpbET\nXZMAgE1r8hWuRH42iwE1xS70DvuwsBiG1ZzyD7CJVCulPw179+7F3r17P/TPDxw4kMoyiGgVYv3Q\nDRkyaeCDtqxz472zk3jvzARu2lGpdDmUxk50TUInCFhfm/6z1D9KQ1UOuoe96ByYwaa1mfdGgehS\nZcYRYiKSXcdSiK6vyMwQvXFNPgQBePfshNKlUBqbnQuid9iLdeVZsFuMSpeTFI2V0YPFbX0ehSsh\nUheGaCL6kIgoovPcNApyrMjLsihdTlI4rEbUlWejZ8iLGf+i0uVQmjrZNQkJ0Tdlmaq2NAsGvQ6d\n52aULoVIVRiiiehD+kf9WFiMZOwudMzmtW5IWO5pJUpUJvdDxxgNOtSWuDA47sdcIKR0OUSqwRBN\nRB/SNRjdcaqvzFa4kuTauNTfebJrSuFKKB0FQxGc7vOgOM+Gwgw/nLquPBsSgLODnBdNFMMQTUQf\nMr3U3lCQndnBoCDbiuI8G9r6PbyRjRLW3j+NYEjM6FaOmLqK6BvqM2zpIIpjiCaiD/HNRz+yddoy\n86DUSutr8hAMRXvAiRLRooFWjpjakizodQJDNNEKDNFE9CH+hWiIdlgzP0RvXBpLxpYOSoQkSTjR\nNQmH1Yg1pVlKl5N0ZpMeVUVO9I/6EAiGlS6HSBUYoonoQ3zzQRj0OlhMmXN98fmsLc+GxaTHye4p\nSJKkdDmUJroHZzHjD2JDbR50usy6jOh81pVnIyJK6B72Kl0KkSowRBPRh/jmQ3DajBl3U+FHMeh1\naKrOxfjMAkY9mXVlMyXP26dHAWijlSNmXflSX/QAWzqIAIZoIvoIvoUQnBpo5YjZUBNt6TjVzZYO\nWp2jbaMw6AU0VecqXUrKrC3LggBwXjTREoZoInqfUDiCxWBEE4cKYzYs9UW3METTKni8AfQMzaKu\nIgdWs0HpclLGZjGi1O1Az7CXrU9EYIgmog+ITeZw2EwKV5I6WQ4zKoucOHNuBguLPDRFF6alqRwf\n5LIbEY6ICEcYookYoonofeLj7TTUzgFEp3RERAltfR6lSyGVO9UT/R6JTXbREoM+GhvCEc5VJ2KI\nJqL38S0EAWhjRvRK62Oj7tjSQRcQjoho759GqduB/Gyr0uWknHEpRIcYookYoono/bTYzgEA1cUu\nOG1GnOzhqDs6v7ODs1gMRbClvkDpUhRhMCztRPOGTyKGaCJ6P79G2zl0goD1NXmY9QcxMOZXuhxS\nqdbe6CcVW+o0GqL10bGXbOcgYogmog/QajsHsHJKx6TClZBatfZ4YNDr0KzBfmhgZTsHP60hYogm\novfRajsHADRX50InCOyLpo8061/EuXE/1pVnwWLSzmi7leIHC9nOQcQQTUTvF2/n0OBOtM1ixJqy\nLPQOe+GbDypdDqlMa290KkdztTZ3oYEVPdFs5yBiiCai9/PNByEAcFi0F6KB6G60BKC9f1rpUkhl\n4iG6Rju3FH4QR9wRLWOIJqL38S2EYLcaodMJSpeiiNg1zqd7OS+alomShNO9HuQ4zSjNtytdjmKM\nSwcLOeKOiCGaiD7ANx/SZCtHTGWhEw6rEaf7PBx1R3H9oz74F0Joqs6FIGjzDSawcsQdfzaIGKKJ\nKE4UJcwthDQ33m4lnU5AQ2UOPN5FjHrmlS6HVKK1J3rYdH2NdvuhAbZzEK3EEE1Ecf5ACBK0OZlj\nJbZ00Ae19nogCEBjVY7SpSjKaOCNhUQxDNFEFKflyRwrNVUxRNOy+UAY3UNe1BS7YNfogdsYI0fc\nEcUxRBNRXGysm9ZDdF6WBUW5NnScm+HH1oT2fg9ESUKzxls5ALZzEK3EEE1EcfGLVqzabucAoi0d\ni8EIuodmlS6FFLY8H1q7o+1iDLyxkCiOIZqI4vwLbOeIibd09LGlQ8skSUJrzxTsFgOqi11Kl6M4\noyE6mYQ70UQM0US0Ats5ltVVZEOvE3C6l5euaNmoZx5T3kU0VuVqdnb6Srz2m2gZQzQRxcXaOZxs\n54DVbEBtiQt9I974Dj1pT1tf9E1UE1s5AKxs52CIJmKIJqI4H9s53qeJV4BrXttSO09jpbZH28XE\nRtyxnYOIIZqIVvAvtXM4NHzZykpN1dFpDBx1p02iKKFjYAbubAvys61Kl6MKy+0cPFhIxBBNRHH+\nQBgmgw4mo17pUlShqsgJu8WA0728AlyL+kZ9WFgMo7GKrRwxBn20LzwUiShcCZHyGKKJKC4UFhmg\nV4hdAT7lDWB8ekHpcijF2vujn0A0sJUjLnbZSog70UQM0US0LBSOxHseKapx6UBZK1s6NCd2qLCe\nITrOwJ5oojhDKl8sFArh/vvvx/DwMILBIL7xjW+gtrYWe/bsgU6nw9q1a7Fv3z4IAscIESkhFBZh\nMnAneqXmFVeA37i1TOFqKFWCoQjODs6iosABl43TamJ4YyHRspSG6Oeffx65ubl4/PHHMTs7i1tu\nuQUNDQ249957sW3bNuzbtw+vvPIKdu3alcqyiGhJKCzCbuGhwpXys60oyLai89wMIqIIvY479Vpw\ndmgW4YiIhiruQq9k5Ig7oriUPg12796Nb33rWwAAURRhMBjQ1taGbdu2AQB27tyJw4cPp7IkIloh\nFBHjH9fSsvrKHCwshjEw5le6FEqR9qVWDh4qfD9D7MZCXrZClNoQbbPZYLfb4ff78e1vfxt/8zd/\nA1EU3/fvfT5fKksioiWSJCEUFtkT/RFiB8s4L1o72vo80OsErCvLVroUVdHrdBAEIBzhwUKilLZz\nAMDIyAi++c1v4vbbb8dnPvMZPP744/F/Nzc3B5fLtaqv43Y7k1WiJnE95ZOuaxmOiJAkwG41qurv\noIZaPrbFiP/129PoGvaqop7Lke71p4J/Poj+MR8aq/NQVnr+EK3VtTQa9IAg/99fq+uZLFzP5Etp\niJ6cnMTdd9+Nffv2YceOHQCAhoYGHD16FNu3b8fBgwdx1VVXreprTUxwx1oubreT6ymTdF7LhcUw\nAEASJdX8HdS0nqVuO9p6pjA8Mpu2u/VqWk81O945DkkC1pa4zrteWl5Lg07AwmJY1r+/ltczGbie\n8rnQm5GUhuinnnoKPp8PTz75JJ588kkAwAMPPIBHH30UoVAItbW12L17dypLIqIlsdP26RoQk62h\nIgdDE3PoGZ5FXQUPm2Wytn72Q1+IwaBjTzQRUhyi9+7di717937on+/fvz+VZRDRRwiFGaIvpKEq\nBy8fH0R7/zRDdIZr65uG2aRHVTE/Dv8oRr3AEXdE4GUrRLQkNrIqNsKK3q+uPBuCwMOFmc7jDWDM\nM4/68uz4TGR6P4NehxAPFhIxRBNRVGwnmiPuPprNYkRVkRM9w14EgmGly6Ekib1JamArx3mxnYMo\nik9LIgKwop2Du2/n1VCZi4go4ezgrNKlUJK09UWvd2/kJSvnZdDr2M5BBIZoIlrCnuiL47zozCZJ\nEtr7p+GyGVGab1e6HNUy6nW8sZAIDNFEtCTE6RwXtaYsCwa9EL/NjjLL2PQCZvxB1FfmQBAEpctR\nLYNegCQBEZFBmrSNT0siAsCd6NUwG/WoLcnCwJgP/oWQ0uWQzDqWPmGo5/SVC4qdmwiHebiQtI1P\nSyICgPhBIfZEX1hDZQ4kAJ0DM0qXQjLrGIiG6LoKXvV9IbHfEWzpIK3j05KIAHAnerUaqmJ90R6F\nKyE5SZKEjoEZZDlMKMq1KV2OqsVG//FwIWkdn5ZEBIA90atVXeyC2ajn4cIMMzI1D+9cEA0V7Ie+\nmHiI5pg70jg+LYkIwMqdaL3ClaibQa/D2vIsjEzNY8a/qHQ5JJNOtnKsmtEQfZPBdg7SOoZoIgLA\nOdGJaKyMXsTB3ejM0b7U415fyUOFF7PczsGDhaRtfFoSEQC2cySivjK6W9nBEJ0RJElC58A0cpxm\nFGRblS5H9dgTTRTFpyURAeDBwkRUFDhhMxvi0xwovQ1PzsE3H0J9RTb7oVch9jsixJ5o0jg+LYkI\nwPIhIQPbOS5KpxOwrjwbEzMBTM0GlC6HLlNHrJWD86FXhTvRRFF8WhIRAO5EJyrWO8vd6PQXa8up\nYz/0qhjszLkMAAAgAElEQVT00d16hmjSOj4tiQgAEIpEADBEr1Z9BfuiM4EoSeg8N4M8lxnuLIvS\n5aSF+GUrvLGQNI5PSyICwOkciSorcMBhNaJjYBqSxDCRroYm5uBfCKGe86FXLX7tN3eiSeP4tCQi\nAGznSJROEFBXno0p7yIm2BedtuKtHOyHXjX2RBNF8WlJRACWZ74yRK9evC+aLR1pK9bTXs9LVlYt\n3s7BEE0ax6clEQEAQmH2RCeKITq9iZKEM+dmkJ9lQT7nQ69avJ2DI+5I4/i0JCIA0XYOAYBex77Q\n1SrJs8FlN6GdfdFp6dyYH3OBMEfbJWh5Oge/50nbGKKJCED0o1mjQcfDVQkQBAH1FdmY9Qcx6plX\nuhxKUGeslaOSrRyJYDsHURRDNBEBiO5Es5UjcbFdzNiFHZQ+eMnKpYkfLGQ7B2kcn5hEBCAaog0M\n0QljX3R6EsXofOiCbCtyXZwPnQiOuCOK4hOTiAAstXNwRnTCCnOsyHaY0Mm+6LQyMO7DwmKYrRyX\ngO0cRFF8YhIRALZzXCpBEFBfmQPvfAjDk3NKl0Or1NEfbeXgfOjE8WAhURSfmEQEYClEcyf6krAv\nOv0sz4dmiE4UR9wRRfGJSUQAuBN9OdgXnV4ioogz52ZQmGNFjtOsdDlpx8gbC4kAMEQTEaKXTkRE\niSH6ErmzLMhzmdExMA2RfdGq1z/qRyAYib/5ocQY2BNNBIAhmoiw/LEsp3Ncmui86BzMBcIYHPcr\nXQ5dRCdbOS4LR9wRRfGJSUTxHSX2RF86tnSkj/alEF1Xwckcl8JoiB0sZIgmbeMTk4gQWtpRYjvH\npWuo5OHCdBCOiDh7bhbFeTZkO9gPfSn08XYOti6RtvGJSUQM0TLIdVlQkG1F57kZiCLDhVr1j/qw\nGIqwleMy6AQBep3AnWjSPD4xiWhFiNYrXEl6q6/MxsJiGP1jPqVLofPoYCuHLAwGHXuiSfMYoolo\nOUSzJ/qyLM+LZl+0WsV61rkTfXmMeh2nc5DmKfLEbGlpwZ133gkAaGtrw86dO3HnnXfizjvvxO9/\n/3slSiLStPjBQrZzXJblw4Xsi1ajcETE2aFZlOTb4bKblC4nrRn0bOcgMqT6BZ9++mn89re/hd1u\nBwCcPn0ad911F+66665Ul0JES2I70bHrfOnSZDvMKMq14czgDMIRMT4KjNShd8SLYEhEPVs5LptB\nr+O136R5Kf8NX1lZiSeeeALS0oUEra2teP3113HHHXfggQcewNzcXKpLItI8HiyUT31lDhaDEfSP\nsi9abdjKIR+jQRf/vUGkVSl/Yn7yk5+EXr98eGnjxo2477778LOf/Qzl5eV44oknUl0SkeaFIzxY\nKJfYLif7otUnNn6QhwovX3QnmiGatC3l7Rwf9IlPfAJOpxMAsGvXLjzyyCOr+nNutzOZZWkO11M+\n6biW1sFZAEButlV19autnov5mMWEp547je4RnyprV2NNqRAKR9A9NIuqYhdqKvNk+ZpaXUsAsFoM\nCEckWddAy+uZDFzP5FM8RH/1q1/FAw88gA0bNuDIkSNobm5e1Z+bmOBHpXJxu51cT5mk61pOeeYB\nAIGFkKrqT9f1LM23o61nCsMjs6pqkUnX9ZRD58A0gmERtSUuWdZAy2sJABAlhCMixse9EITLP0uh\n+fWUGddTPhd6M6JYiI790D300EN46KGHYDAYUFBQgIcfflipkog0i9M55FVfkYOhyTn0jnixrpyt\nA2rQudTKwX5oeRiWfleEI1L8GnAirVEkRJeVleEXv/gFAKC+vh4HDhxQogwiWsKDhfKqr8zBK+8O\noqN/miFaJToGpiGA/dByiU2eCUdE/t4gzeJ3PhEhFI4AYIiWS11FNgTwcKFahMIRdA15UV7ggMNq\nVLqcjBC7mIkXrpCW8YlJRLyxUGYOqxHlBQ50DXnjb1BIOV1DXoQjIurYyiGbeDsHx9yRhvGJSUTs\niU6C+sochCMiuoa8SpeieZ1LnwjUV7KVQy6xi5k45o60jE9MImJPdBLEDrDFLvgg5XT0T0MQgDr2\np8smNlM+xFsLScP4xCSi+EeyDNHyWVeeDUFgX7TSFkMRdA97UVHohM3Cfmi5xHei2c5BGsYnJhHF\n2zkM7ImWjc1iQGWhEz3DXiyG2BetlK6hWUREKX6TJMnDuGI6B5FW8YlJRGznSJL6yhxERAldSzdC\nUurF+6F5qFBWBoZoIoZoImKITpZ4XzRbOhTT0T8DnSBwXrfMYtM5OOKOtIxPTCJans7Bdg5ZrS3L\ngk4Q0M7DhYoIBMPoHfGissgJq1mxC3ozUrydI8yDhaRdfGISUfxwkIE70bKymg2oLnaib8SHhcWw\n0uVoDvuhkyf2qVWQc9BJw/jEJCKEwiIMegE6QVC6lIxTX5kDUZJwdnBG6VI0p6M/uub1leyHlpvV\nHB1xFwgyRJN2MUQTEUJhkf3QSRILcLFAR6nTMTANnSBgbVmW0qVkHJs5Oi5wPsBPWEi7+NQkIoQi\nIvuhk2RNaRb0OgHtPFyYUguLYfSN+FBd7ITFxH5oudks0TWdXwwpXAmRcvjUJCLuRCeR2ahHbYkL\nA2M+zAcYOFLl7OAsREliK0eS2JYOanInmrSMT00iivZEL13jS/Krr8yBJAGd59jSkSodnA+dVMs7\n0QzRpF0M0UQU3YlmO0fSxOdFsy86ZTr6p6HXCVhTyn7oZLByJ5qIIZqIoreOsZ0jeWpLXTDodbx0\nJUXmA2H0j/lQXeKC2cRPWJLBYtJDELgTTdrGpyaRxkmStLQTzfF2yWI06LGm1IVz4374F9gXnWxn\nBmcgSWzlSCZBEGAzG7DAnWjSMIZoIo2LiBIk8MrvZIsdcOvkbnTSdSzdENnAS1aSymYxcCeaNI1P\nTSKNCy3dVmjkwcKkiu2K8grw5OsYmIZBL6CW/dBJZTMb2RNNmsYQTaRxIV75nRI1JS6YjDp0DPBw\nYTLNBUI4N+ZHTUkWTEa+MUwmm8WAxVAE4YiodClEiuBTk0jjguHotb2czpFcBr0Oa8uyMTw5h9m5\noNLlZKwzAzOQANSzlSPpYrOiF9jSQRrFpyaRxsU+jo09ECl5YsGOfdHJE7sZsoGXrCRdfFY0WzpI\noxiiiTRubukBaLcyRCdb7HBhB/uik6ajfwZGgw41JS6lS8l4vHCFtI4hmkjj5pZGrtmtRoUryXxV\nRU5YTHq0sy86KXzzQQxO+FFb4uJB2RTg1d+kdQzRRBrnD0RDtIMhOun0Oh3WlWdjzDOPad+i0uVk\nnNihTbZypIbNEv2dwZ1o0iqGaCKNi+9EWxiiUyF+BTj7omXX3ucBADRW5SpciTYs70TzAiHSJoZo\nIo2L3aDHnejUqK+MHi5kX7T82vqnYTXrUVXsVLoUTbCyJ5o0jiGaSOPmFqIPQAcPFqZERYETNrOB\nO9Eym5xdwPj0AurKc6DX8dGWCuyJJq3jbxoijfPzYGFK6XQC1pVnY2ImgMnZBaXLyRjtfRxtl2qc\nzkFaxxBNpHFzgRAEAbByTnTKLI+645QOucSuU2+sYohOlfhlK9yJJo1iiCbSOP9CCHaLETpBULoU\nzYhdusKWDnlIkoT2/mlk2U0oybcrXY5mcCeatI4hmkjj5hZCbOVIsbICBxxWIzoGpiFJktLlpL3Y\nVeoNlTkQ+GYwZcxGPXSCwJ5o0iyGaCINkyQJc4EwHBa2cqSSThBQV5ENj3cREzPsi75cbeyHVoQg\nCLBZDNyJJs1iiCbSsEAwgogocSdaAcvzotkXfbmW+6E5HzrVbBYD50STZikSoltaWnDnnXcCAPr7\n+3Hbbbfh9ttvx4MPPsiPNolSiBetKGf5cCH7oi9HRBTReW4aBTlW5GVZlC5Hc2xm7kSTdqU8RD/9\n9NPYu3cvQqHow/uxxx7Dvffei5///OeQJAmvvPJKqksi0ixe+a2ckjwbXHYT2tkXfVn6RnxYWIyg\nka0cirBZDAiGRIQjotKlEKVcykN0ZWUlnnjiifhDo62tDdu2bQMA7Ny5E4cPH051SUSaxYtWlCMI\nAuorsjHrD2LUM690OWmrbemq7wa2cigifuEKd6NJg1Ieoj/5yU9Cr9fH//fKHRibzQafz5fqkog0\nixetKIt90ZevvX8aApbHBlJqxcbccVY0aZHi20+6Fdezzs3NweVyrerPud3OZJWkSVxP+aTTWgr6\nCQBASYFLtXWrtS45XL25DP/2Uid6R334Uor+npm0noFgGF1DXlSXZqGmMi/lr59Ja3mp8nKic7lN\nVtNlrwfXU15cz+RTPEQ3NDTg6NGj2L59Ow4ePIirrrpqVX9uYoI71nJxu51cT5mk21qOTvoBAJFQ\nWJV1p9t6JsooSchxmtFydgJj496kX3iTaevZ2juFcETEutKslP+9Mm0tL5kY7YUeGp1FzmW0hXE9\n5cX1lM+F3owoNuIuNhB/z549+Md//Ed8+ctfRiQSwe7du5UqiUhzYu0cPFioDEEQ0FCZA998COfG\n/EqXk3baY/OhedW3YuI90WznIA1SZCe6rKwMv/jFLwAAVVVV2L9/vxJlEGle7GChnZetKKa5OheH\nW0dxus+DyiJ+/JqItr5p6HUC1pWxH1opvPqbtIyXrRBp2FyABwuV1lgdnSrR2jOlcCXpxTsXRP+Y\nD2vLsmA26S/+BygpYjvRPFhIWsQQTaRh/oUQ9DoBFoYQxbhsJlQWOnF2cBaBIIPIap1eGm3XXJP6\nA4W0jDvRpGUM0UQaNrcQgt1qjJ9RIGU01+QiIkro5Ki7VWvtWQrR1ZwPrST2RJOWMUQTaZh/IcRD\nhSoQC4KtvR6FK0kPoiThdJ8HLrsJZQUOpcvRNJsl+vsj1hpGpCUM0UQaJUoS5gNhHipUgdrSaF8v\nQ/TqDI774Z0LoqkqN+ljAenCnDYjBACz/qDSpRClHEM0kUbNB8KQwPF2amDQ69BQkYMxzzwmZxaU\nLkf1Ti0dwlxfw1YOpRn0OjjtJsz4F5UuhSjlGKKJNGouduW3hSFaDZpiLR193I2+mNO9HghYnmxC\nysq2mzAzx51o0h6GaCKN8gd40YqaxPqiT/cwRF9IIBjG2cFZVBQ54bKZlC6HAGQ7zVgMRrDACR2k\nMQzRRBoV34m+jKt6ST4FOVbkZ1nQ1j+NyNJVyvRhHf0ziIgSp3KoSLYj+maGLR2kNQzRRBoVv62Q\nO9GqIAgCmqtzsbAYRu+wT+lyVKu1N9oPzRCtHll2MwBghocLSWMYook0yr+0E+1gT7RqNFVHLw6J\nBUX6sNZeDywmPWpLs5QuhZZkO6MhepY70aQxDNFEGhX76DXLwb5StWiozIFOEHCao+4+0vjMAsan\nF9BQmQODno8vtVhu5+BONGkLfwsRaZTHFw3RuU6LwpVQjM1iQE2pCz0jXl5e8RFO97CVQ42yHbF2\nDu5Ek7YwRBNp1LQ3AAHciVab5upcSBLQ1jetdCmqE7uMpqkmT+FKaCWGaNIqhmgijfL4FpHlMPFj\ncZVpXuqLjl0oQlHhiIj2/mkU5lhRkG1VuhxawWWP3lrIdg7SGj49iTRIlCRM+xaR62Irh9pUFTnh\ntBlxqnsKoiQpXY5qdA/NIhCMxN9kkHrodTq4eGshaRBDNJEG+eaCiIgScpZO1ZN66HQCNtTkYXYu\niP5RjrqLObm0M9/Eq75VKcsRDdES3/iRhjBEE2kQDxWq28Y1+QCAlq5JhStRj5auKZgMOjRW5ihd\nCn2EbIcZwZCIQDCidClEKcMQTaRBHm80RHMnWp2aqnOh1wlo6WJfNBAdbTc8OYfGqlyYjHqly6GP\nwMOFpEUM0UQaNO0LAAByXQzRamQ1G1BXkY3+MR+mfQwlLWejO/Ib17AfWq3is6L5/UoawhBNpEFs\n51C/WEvHyW62dJzoioXofIUrofNZ3onmhA7SDoZoIg2K7W5yJ1q9NtZGd1213tIxHwjjzLkZVBU5\n40GN1Cceoue4E03awRBNpEEebwCCwItW1Kwgx4biPBva+jwIhrR7WKu1dwoRUcIm7kKrWrYz1s7B\nnWjSDoZoIg2a9i0i22GGXsdfAWq2cU0+gmERHQPavb2wha0caSHLzoOFpD18ghJpTOyiFU7mUL9N\n8VF32mzpiIgiTnZPIcdpRkWhQ+ly6AJcdiMEgSGatIUhmkhjYhet5DJEq15tqQt2iwEt3ZOavMSi\ne8iLuUAYG9fkQxAEpcuhC4jdWjjLg4WkIQzRRBoTm8yRw8kcqqfX6bC+Jg8e7yLOjfuVLifl4lM5\najnaLh1kO8yY5q2FpCEM0UQaE7tohZM50kP89sJu7bV0tHRNwmTQoYG3FKYFd5YFobDIMXekGQzR\nRBrjWbpohT3R6aG5Jhc6QdDcFeBj0/MYmZrnLYVppCDHBgAYn55XuBKi1GCIJtKY5RnRbOdIB3aL\nEWvLstA77MXsnHZ2+GK3FG5ay6kc6aIwxwoAGJteULgSotRgiCbSGI936cpv7kSnjY1r8iEBmtqN\njvVDb2A/dNoozI3uRI95uBNN2sAQTaQxHt8iL1pJM1vq3ACAd89MKFxJaswFQjg7OIvqYt5SmE5i\nO9Hj3IkmjWCIJtKY0al5uLOtvGgljRRkW1FR4EBbnwfzgbDS5STdibOTiIgStqxzK10KJcBlN8Fs\n0mOMPdGkEXyKEmmIbz4I/0IIxUsfu1L62FLnRjgi4WR35rd0HO+M7rhvrStQuBJKhCAIKMyxYnx6\nASLH3JEGMEQTacjoUq9icb5d4UooUVuXdmWPZ3hLx8JiGK29Uyhz21HEN3tppzDHhmBYxIyPNxdS\n5jMoXUDMrbfeCocjeq1reXk5vv/97ytcEVHmGZlaCtEMJ2mnJN+OwlwbTvVMYTEUgTlDx761dE8i\nHJG4C52mCnOXJ3RwAhBlOlWE6MXF6DvW/fv3K1wJUWYbmZoDABTncSc63QiCgCvq3HjhSD9O93oy\ntl94uZUjM/9+ma4ge2lCx/Q8L8mhjKeKdo6Ojg4sLCzgK1/5Cv7iL/4CLS0tSpdElJFiO9FFedyJ\nTkex4HysY1zhSpJjMRjBqZ4pFObaUMqWo7QU24nmhA7SAlXsRFutVnzlK1/BF7/4RfT19eFrX/sa\nXnrpJeg4PYBIVqNT83DZjHBYjUqXQpegqsiJ/CwL3uuaRDAUybib/E71TCEYEnFFnRuCIChdDl2C\nwhzOiibtUEVKraqqwuc+97n4/52dnY2Jicw+PEOUaqFwBBOzCyhiK0faEgQBVzYWYjEYwcnuKaXL\nkd3R9jEAwLZ69kOnK6fNCKtZz51o0gRV7ET/+te/RmdnJ/bt24exsTH4/X643Rfuh3O7nSmqThu4\nnvJR61r2jXghSUB1aZZqa/wo6VRrKnzq6mq8cKQfLT0e3HRNbcJ/Xq3rOR8I4WT3FMoKHNjSVJwW\nO9FqXUullbodGBj1IS/PAZ1u9f9/5HrKi+uZfKoI0X/yJ3+Cv/3bv8Xtt98OAHjssccu2soxMeFL\nRWma4HY7uZ4yUfNatnVFP93JsZtUW+MHqXk9lWI3CCjOs+GdtlEMDE7Dal79r3E1r+eR1lEEwyK2\nrnNjctKvdDkXpea1VFqu04yuwVmc6ZlEXtbqJnRwPeXF9ZTPhd6MqCJEGwwGPP7440qXQZTRlidz\n8FBhOhMEAdvqC/DbQ31o6ZrEjqYipUuSxdtLrRxXNhYqXAldrlhf9Oj0/KpDNFE6UkVPNBEl3yhn\nRGeM7Q3RoHm0PTOmdPgXQjjd60FloZMXrGSAUnf03MXguPo/USC6HAzRRBoxPDUHk0GHXO4Mpb2S\nfDvKCxw41TMF/0JI6XIu2/HOcURECdsbeaAwE1QWRT/+7h9lOwFlNoZoIg0QJQmjnnkU5dqgS4MD\nW3RxVzUVISJK8YkW6eyt09G/w/Z6tnJkgoJsK6xmA/oYoinDMUQTacDkbADBkIhiXmCRMXY0FUIQ\ngMOto0qXclkmZhbQeW4G9RXZ7J/NEIIgoLLQgTHPPBYWw0qXQ5Q0DNFEGtAzPAsAqC7iyKNMke0w\no6kqFz3D3vih0XQUexNwdXOxwpWQnKqKXJAADIxxN5oyF0M0kQb0DHsBADUlWQpXQnK6ujk6mePI\n6fTcjZYkCYdbR2Ay6rC17sJ3A1B6YV80aQFDNJEG9Ax7odcJqCh0KF0KyWjzOjfMJj2OtI5BlCSl\ny0nY2cFZTMwEsHVdQULzrkn9YiG6jzvRlMEYookyXCgsYmDMh7ICB0xGvdLlkIzMRj221RVgyhtA\nZ/+00uUk7M1TIwCAj6/PjFnXtKwgxwqLSc+daMpoDNFEGe7cuB/hiITaEpfSpVASfHxDtJf4jZZh\nhStJTCAYxrGOceS5zKirzFG6HJKZThBQWejE6BQPF1LmYogmynDdS4cKaxiiM9LasiwU59nw7pkJ\n+OaDSpezakfbxxEIRvCx9cUcu5ihKouckBB9I0+UiRiiiTJcLw8VZjRBEHDtplKEI1Jajbt7/b0h\nCAKwc2OJ0qVQkvBwIWU6hmiiDNcz7IX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V87xbPpMhuqysDI1Gg4WFBWlpabz++uv4+fkx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\n6H8AbJK4J/2YnKEAAAAASUVORK5CYII=\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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5AJhAYp59fQshGuZFiAYyQENrlywWqbSIEA3A+A7tRNPOAfMiRAMZoKG1UyXu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\nAMDxK3HnKRSOKdAdSfdSkMU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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ephem_data = pyephem_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['apparent_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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JEqXTaS1btoxDhUAOdLEfGsAwCAU82n0wrGQqLaeDSbooXjndGPkv//Ivb/vY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\nZDh6ebglIrfLruRgXO2xRE5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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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kQ6zFxThHRhH62wdwjY1t1gxOwSEAmPPycLvKInrzgWwARvYMt1sucXlbtmxi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\nLSIiIh4RGh7EdYsv4qbvXDxwh8LoOIuHqxI5N1qJFhEREY8xGAxMnJK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wWmvYty+v7Yvo2NhY5s6dy0MPPQTAli1b6NevHwDDhw/n559/RqfTkZaWhtFo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\nSm5NPoFegYxMvITR3W8gJSARo+74Q3m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jyIYv0dNN13PPojoceJavzHU4QkwY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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", "pyephem_tus = pvlib.solarposition.pyephem(times, tus)\n", "pyephem_joh = pvlib.solarposition.pyephem(times, johannesburg)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(pyephem_tus['apparent_zenith'], pyephem_tus['apparent_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, tus, solarposition_method='pyephem')\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 = pyephem_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['apparent_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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TLYS4YMN7RWM06FiyJRuX+/zrkB1uDVqPC5+ApluTaQwwccWDk+gYUEGF1sx3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\n3t7QaDQwm834/PPPER8fz3neg0OHDmHv3r2IiYmBVqtFfn4+srKy+LP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zzbewatUr3g6rU0nJYRYt+iN/+MMib4fSJXZ78FHb1BMtIiIi0sP17RvH/ffP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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", "pyephem_tus = pvlib.solarposition.pyephem(times, tus)\n", "pyephem_joh = pvlib.solarposition.pyephem(times, johannesburg)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(pyephem_tus['apparent_zenith'], pyephem_tus['apparent_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, tus, solarposition_method='pyephem')\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 = pyephem_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['apparent_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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t2tVER1/gyy8/Z/jw0fj7B/DrrxH89NMC+vV7+459abVaXn/9LS5diiYsrDlL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\nprWlnfWfFFNyoJYgq5lrbhpC7shkTCbdPCgiIl9RiRYR+Zu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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", "pyephem_abq = pvlib.solarposition.pyephem(times, abq)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(pyephem_abq['apparent_zenith'], pyephem_abq['apparent_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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SUimLaFPYs2cXTZs25/XXh/L333+yYUMoOl3xMmeJiQlkZv7/TnZ368lduXIF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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", "pyephem_abq = pvlib.solarposition.pyephem(times, abq)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(pyephem_abq['apparent_zenith'], pyephem_abq['apparent_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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xd/dgyZLFhIffAeCzz6ZQt259unTpXsiRhb+fmJmZERMTDcDFi8H6201MTPT3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\ns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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", "pyephem_abq = pvlib.solarposition.pyephem(times, abq)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(pyephem_abq['apparent_zenith'], pyephem_abq['apparent_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": "code", "execution_count": 47, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import logging\n", "logging.getLogger('pvlib').setLevel(logging.DEBUG)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "test solar noon" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "DEBUG:pvlib:tracking.singleaxis\n", "DEBUG:pvlib:axis_tilt=0, axis_azimuth=0, max_angle=90, backtrack=True, gcr=0.286\n", "DEBUG:pvlib:\n", "apparent_zenith=\n", "0 10\n", "dtype: int64\n", "apparent_azimuth=\n", "0 180\n", "dtype: int64\n", "DEBUG:pvlib:axis_azimuth_south=-180\n", "DEBUG:pvlib:applying backtracking\n", "DEBUG:pvlib:rot_x=\n", "[[ 1. 0. 0.]\n", " [ 0. 1. -0.]\n", " [ 0. 0. 1.]]\n", "DEBUG:pvlib:panel_norm_earth=[[ 0. 0. 1.]]\n", "DEBUG:pvlib:projected_normal=[[ 0. 0. 0.]]\n", "DEBUG:pvlib:panel_norm_earth_mag=[ 1.], projected_normal_mag=[ 0.]\n", "DEBUG:pvlib:renormalized projected_normal=[[ 0. 0. 0.]]\n" ] }, { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
0109000
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 10 90 0 0" ] }, "execution_count": 48, "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": 49, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "DEBUG:pvlib:tracking.singleaxis\n", "DEBUG:pvlib:axis_tilt=0, axis_azimuth=180, max_angle=90, backtrack=True, gcr=0.286\n", "DEBUG:pvlib:\n", "apparent_zenith=\n", "0 60\n", "dtype: int64\n", "apparent_azimuth=\n", "0 90\n", "dtype: int64\n", "DEBUG:pvlib:axis_azimuth_south=0\n", "DEBUG:pvlib:applying backtracking\n", "DEBUG:pvlib:rot_x=\n", "[[ 1. 0. 0.]\n", " [ 0. 1. -0.]\n", " [ 0. 0. 1.]]\n", "DEBUG:pvlib:panel_norm_earth=[[-0.8660254 0. 0.5 ]]\n", "DEBUG:pvlib:projected_normal=[[-0.8660254 0. 0. ]]\n", "DEBUG:pvlib:panel_norm_earth_mag=[ 1.], projected_normal_mag=[ 0.8660254]\n", "DEBUG:pvlib:renormalized projected_normal=[[-1. 0. 0.]]\n" ] }, { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
009060-60
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 0 90 60 -60" ] }, "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=180, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "DEBUG:pvlib:tracking.singleaxis\n", "DEBUG:pvlib:axis_tilt=0, axis_azimuth=0, max_angle=90, backtrack=True, gcr=0.286\n", "DEBUG:pvlib:\n", "apparent_zenith=\n", "0 60\n", "dtype: int64\n", "apparent_azimuth=\n", "0 90\n", "dtype: int64\n", "DEBUG:pvlib:axis_azimuth_south=-180\n", "DEBUG:pvlib:applying backtracking\n", "DEBUG:pvlib:rot_x=\n", "[[ 1. 0. 0.]\n", " [ 0. 1. -0.]\n", " [ 0. 0. 1.]]\n", "DEBUG:pvlib:panel_norm_earth=[[ 0.8660254 0. 0.5 ]]\n", "DEBUG:pvlib:projected_normal=[[ 0.8660254 0. 0. ]]\n", "DEBUG:pvlib:panel_norm_earth_mag=[ 1.], projected_normal_mag=[ 0.8660254]\n", "DEBUG:pvlib:renormalized projected_normal=[[ 1. 0. 0.]]\n" ] }, { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 0 90 60 60" ] }, "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=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test max" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "DEBUG:pvlib:tracking.singleaxis\n", "DEBUG:pvlib:axis_tilt=0, axis_azimuth=0, max_angle=45, backtrack=True, gcr=0.286\n", "DEBUG:pvlib:\n", "apparent_zenith=\n", "0 60\n", "dtype: int64\n", "apparent_azimuth=\n", "0 90\n", "dtype: int64\n", "DEBUG:pvlib:axis_azimuth_south=-180\n", "DEBUG:pvlib:applying backtracking\n", "DEBUG:pvlib:rot_x=\n", "[[ 1. 0. 0.]\n", " [ 0. 1. -0.]\n", " [ 0. 0. 1.]]\n", "DEBUG:pvlib:panel_norm_earth=[[ 0.70710678 0. 0.70710678]]\n", "DEBUG:pvlib:projected_normal=[[ 0.70710678 0. 0. ]]\n", "DEBUG:pvlib:panel_norm_earth_mag=[ 1.], projected_normal_mag=[ 0.70710678]\n", "DEBUG:pvlib:renormalized projected_normal=[[ 1. 0. 0.]]\n" ] }, { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
015904545
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 15 90 45 45" ] }, "execution_count": 51, "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": 52, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "DEBUG:pvlib:tracking.singleaxis\n", "DEBUG:pvlib:axis_tilt=0, axis_azimuth=0, max_angle=90, backtrack=False, gcr=0.286\n", "DEBUG:pvlib:\n", "apparent_zenith=\n", "0 80\n", "dtype: int64\n", "apparent_azimuth=\n", "0 90\n", "dtype: int64\n", "DEBUG:pvlib:axis_azimuth_south=-180\n", "DEBUG:pvlib:no backtracking\n", "DEBUG:pvlib:rot_x=\n", "[[ 1. 0. 0.]\n", " [ 0. 1. -0.]\n", " [ 0. 0. 1.]]\n", "DEBUG:pvlib:panel_norm_earth=[[ 0.98480775 0. 0.17364818]]\n", "DEBUG:pvlib:projected_normal=[[ 0.98480775 0. 0. ]]\n", "DEBUG:pvlib:panel_norm_earth_mag=[ 1.], projected_normal_mag=[ 0.98480775]\n", "DEBUG:pvlib:renormalized projected_normal=[[ 1. 0. 0.]]\n" ] }, { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 8.537736e-07 90 80 80" ] }, "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=False, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "DEBUG:pvlib:tracking.singleaxis\n", "DEBUG:pvlib:axis_tilt=0, axis_azimuth=0, max_angle=90, backtrack=True, gcr=0.286\n", "DEBUG:pvlib:\n", "apparent_zenith=\n", "0 80\n", "dtype: int64\n", "apparent_azimuth=\n", "0 90\n", "dtype: int64\n", "DEBUG:pvlib:axis_azimuth_south=-180\n", "DEBUG:pvlib:applying backtracking\n", "DEBUG:pvlib:rot_x=\n", "[[ 1. 0. 0.]\n", " [ 0. 1. -0.]\n", " [ 0. 0. 1.]]\n", "DEBUG:pvlib:panel_norm_earth=[[ 0.46063877 0. 0.8875877 ]]\n", "DEBUG:pvlib:projected_normal=[[ 0.46063877 0. 0. ]]\n", "DEBUG:pvlib:panel_norm_earth_mag=[ 1.], projected_normal_mag=[ 0.46063877]\n", "DEBUG:pvlib:renormalized projected_normal=[[ 1. 0. 0.]]\n" ] }, { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 52.571666 90 27.428334 27.428334" ] }, "execution_count": 53, "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": 54, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "DEBUG:pvlib:tracking.singleaxis\n", "DEBUG:pvlib:axis_tilt=30, axis_azimuth=180, max_angle=90, backtrack=True, gcr=0.286\n", "DEBUG:pvlib:\n", "apparent_zenith=\n", "0 30\n", "dtype: int64\n", "apparent_azimuth=\n", "0 135\n", "dtype: int64\n", "DEBUG:pvlib:axis_azimuth_south=0\n", "DEBUG:pvlib:applying backtracking\n", "DEBUG:pvlib:rot_x=\n", "[[ 1. 0. 0. ]\n", " [ 0. 0.8660254 0.5 ]\n", " [ 0. -0.5 0.8660254]]\n", "DEBUG:pvlib:panel_norm_earth=[[-0.35643161 0.46716071 0.80914608]]\n", "DEBUG:pvlib:projected_normal=[[-0.35643161 0.46716071 0. ]]\n", "DEBUG:pvlib:panel_norm_earth_mag=[ 1.], projected_normal_mag=[ 0.58760754]\n", "DEBUG:pvlib:renormalized projected_normal=[[-0.60658106 0.79502164 0. ]]\n" ] }, { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
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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": 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=180, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "DEBUG:pvlib:tracking.singleaxis\n", "DEBUG:pvlib:axis_tilt=30, axis_azimuth=0, max_angle=90, backtrack=True, gcr=0.286\n", "DEBUG:pvlib:\n", "apparent_zenith=\n", "0 30\n", "dtype: int64\n", "apparent_azimuth=\n", "0 135\n", "dtype: int64\n", "DEBUG:pvlib:axis_azimuth_south=-180\n", "DEBUG:pvlib:applying backtracking\n", "DEBUG:pvlib:rot_x=\n", "[[ 1. 0. 0. ]\n", " [ 0. 0.8660254 0.5 ]\n", " [ 0. -0.5 0.8660254]]\n", "DEBUG:pvlib:panel_norm_earth=[[ 0.52495936 0.42556365 0.73709786]]\n", "DEBUG:pvlib:projected_normal=[[ 0.52495936 0.42556365 0. ]]\n", "DEBUG:pvlib:panel_norm_earth_mag=[ 1.], projected_normal_mag=[ 0.67578602]\n", "DEBUG:pvlib:renormalized projected_normal=[[ 0.77681299 0.62973135 0. ]]\n" ] }, { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
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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": 55, "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": 56, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "DEBUG:pvlib:tracking.singleaxis\n", "DEBUG:pvlib:axis_tilt=0, axis_azimuth=90, max_angle=90, backtrack=True, gcr=0.286\n", "DEBUG:pvlib:\n", "apparent_zenith=\n", "0 30\n", "dtype: int64\n", "apparent_azimuth=\n", "0 90\n", "dtype: int64\n", "DEBUG:pvlib:axis_azimuth_south=-90\n", "DEBUG:pvlib:applying backtracking\n", "DEBUG:pvlib:rot_x=\n", "[[ 1. 0. 0.]\n", " [ 0. 1. -0.]\n", " [ 0. 0. 1.]]\n", "DEBUG:pvlib:panel_norm_earth=[[ 0. 0. 1.]]\n", "DEBUG:pvlib:projected_normal=[[ 0. 0. 0.]]\n", "DEBUG:pvlib:panel_norm_earth_mag=[ 1.], projected_normal_mag=[ 0.]\n", "DEBUG:pvlib:renormalized projected_normal=[[ 0. 0. 0.]]\n" ] }, { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
03018000
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 30 180 0 0" ] }, "execution_count": 56, "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": 57, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "DEBUG:pvlib:tracking.singleaxis\n", "DEBUG:pvlib:axis_tilt=0, axis_azimuth=90, max_angle=90, backtrack=True, gcr=0.286\n", "DEBUG:pvlib:\n", "apparent_zenith=\n", "0 30\n", "dtype: int64\n", "apparent_azimuth=\n", "0 180\n", "dtype: int64\n", "DEBUG:pvlib:axis_azimuth_south=-90\n", "DEBUG:pvlib:applying backtracking\n", "DEBUG:pvlib:rot_x=\n", "[[ 1. 0. 0.]\n", " [ 0. 1. -0.]\n", " [ 0. 0. 1.]]\n", "DEBUG:pvlib:panel_norm_earth=[[ 0.5 0. 0.8660254]]\n", "DEBUG:pvlib:projected_normal=[[ 0.5 0. 0. ]]\n", "DEBUG:pvlib:panel_norm_earth_mag=[ 1.], projected_normal_mag=[ 0.5]\n", "DEBUG:pvlib:renormalized projected_normal=[[ 1. 0. 0.]]\n" ] }, { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
001803030
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 0 180 30 30" ] }, "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": [ { "name": "stderr", "output_type": "stream", "text": [ "DEBUG:pvlib:tracking.singleaxis\n", "DEBUG:pvlib:axis_tilt=0, axis_azimuth=90, max_angle=90, backtrack=True, gcr=0.286\n", "DEBUG:pvlib:\n", "apparent_zenith=\n", "0 30\n", "dtype: int64\n", "apparent_azimuth=\n", "0 180\n", "dtype: int64\n", "DEBUG:pvlib:axis_azimuth_south=-90\n", "DEBUG:pvlib:applying backtracking\n", "DEBUG:pvlib:rot_x=\n", "[[ 1. 0. 0.]\n", " [ 0. 1. -0.]\n", " [ 0. 0. 1.]]\n", "DEBUG:pvlib:panel_norm_earth=[[ 0.5 0. 0.8660254]]\n", "DEBUG:pvlib:projected_normal=[[ 0.5 0. 0. ]]\n", "DEBUG:pvlib:panel_norm_earth_mag=[ 1.], projected_normal_mag=[ 0.5]\n", "DEBUG:pvlib:renormalized projected_normal=[[ 1. 0. 0.]]\n" ] }, { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
001803030
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 0 180 30 30" ] }, "execution_count": 58, "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": 59, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "DEBUG:pvlib:tracking.singleaxis\n", "DEBUG:pvlib:axis_tilt=0, axis_azimuth=170, max_angle=90, backtrack=True, gcr=0.286\n", "DEBUG:pvlib:\n", "apparent_zenith=\n", "0 30\n", "dtype: int64\n", "apparent_azimuth=\n", "0 150\n", "dtype: int64\n", "DEBUG:pvlib:axis_azimuth_south=-10\n", "DEBUG:pvlib:applying backtracking\n", "DEBUG:pvlib:rot_x=\n", "[[ 1. 0. 0.]\n", " [ 0. 1. -0.]\n", " [ 0. 0. 1.]]\n", "DEBUG:pvlib:panel_norm_earth=[[-0.19372463 0. 0.98105595]]\n", "DEBUG:pvlib:projected_normal=[[-0.19372463 0. 0. ]]\n", "DEBUG:pvlib:panel_norm_earth_mag=[ 1.], projected_normal_mag=[ 0.19372463]\n", "DEBUG:pvlib:renormalized projected_normal=[[-1. 0. 0.]]\n" ] }, { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
028.0243218011.170229-11.170229
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 28.024321 80 11.170229 -11.170229" ] }, "execution_count": 59, "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": 60, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "DEBUG:pvlib:tracking.singleaxis\n", "DEBUG:pvlib:axis_tilt=0, axis_azimuth=170, max_angle=90, backtrack=True, gcr=0.286\n", "DEBUG:pvlib:\n", "apparent_zenith=\n", "0 30\n", "dtype: int64\n", "apparent_azimuth=\n", "0 180\n", "dtype: int64\n", "DEBUG:pvlib:axis_azimuth_south=-10\n", "DEBUG:pvlib:applying backtracking\n", "DEBUG:pvlib:rot_x=\n", "[[ 1. 0. 0.]\n", " [ 0. 1. -0.]\n", " [ 0. 0. 1.]]\n", "DEBUG:pvlib:panel_norm_earth=[[ 0.09975574 0. 0.99501196]]\n", "DEBUG:pvlib:projected_normal=[[ 0.09975574 0. 0. ]]\n", "DEBUG:pvlib:panel_norm_earth_mag=[ 1.], projected_normal_mag=[ 0.09975574]\n", "DEBUG:pvlib:renormalized projected_normal=[[ 1. 0. 0.]]\n" ] }, { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
029.4987042605.7251055.725105
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 29.498704 260 5.725105 5.725105" ] }, "execution_count": 60, "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": 61, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "DEBUG:pvlib:tracking.singleaxis\n", "DEBUG:pvlib:axis_tilt=0, axis_azimuth=0, max_angle=90, backtrack=True, gcr=0.286\n", "DEBUG:pvlib:\n", "apparent_zenith=\n", "0 10\n", "dtype: int64\n", "apparent_azimuth=\n", "0 180\n", "dtype: int64\n", "DEBUG:pvlib:axis_azimuth_south=-180\n", "DEBUG:pvlib:applying backtracking\n", "DEBUG:pvlib:rot_x=\n", "[[ 1. 0. 0.]\n", " [ 0. 1. -0.]\n", " [ 0. 0. 1.]]\n", "DEBUG:pvlib:panel_norm_earth=[[ 0. 0. 1.]]\n", "DEBUG:pvlib:projected_normal=[[ 0. 0. 0.]]\n", "DEBUG:pvlib:panel_norm_earth_mag=[ 1.], projected_normal_mag=[ 0.]\n", "DEBUG:pvlib:renormalized projected_normal=[[ 0. 0. 0.]]\n" ] }, { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
0109000
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 10 90 0 0" ] }, "execution_count": 61, "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": 62, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "DEBUG:pvlib:tracking.singleaxis\n", "DEBUG:pvlib:axis_tilt=0, axis_azimuth=0, max_angle=90, backtrack=True, gcr=0.286\n", "DEBUG:pvlib:\n", "apparent_zenith=\n", "0 10\n", "dtype: int64\n", "apparent_azimuth=\n", "0 180\n", "1 90\n", "dtype: int64\n" ] }, { "ename": "ValueError", "evalue": "apparent_azimuth.index and apparent_zenith.index must match.", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\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/jtheurer/anaconda/lib/python2.7/site-packages/pvlib/tracking.pyc\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 126\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 127\u001b[0m raise ValueError('apparent_azimuth.index and ' +\n\u001b[0;32m--> 128\u001b[0;31m 'apparent_zenith.index must match.')\n\u001b[0m\u001b[1;32m 129\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 130\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": 63, "metadata": { "collapsed": true }, "outputs": [], "source": [ "logging.getLogger('pvlib').setLevel(logging.WARNING)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }