{ "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 0.3.0\n", "* Python 3.5.1\n", "* IPython 4.1\n", "* Pandas 0.18\n", "\n", "It should work with other Python and Pandas versions. It requires pvlib > 0.3.0 and IPython > 4.0.\n", "\n", "This tutorial was written by\n", "* Will Holmgren ([@wholmgren](http://wholmgren.github.io)), University of Arizona. March, 2015, July 2015, March 2016, April 2016.\n", "* Some of the text is based on the comments in ``pvl_singleaxis.m``, presumably written by the PVLIB_MATLAB team at Sandia National Laboratory." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Standard scientific Python imports." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# plotting modules\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "try:\n", " import seaborn as sns\n", " sns.set(rc={\"figure.figsize\": (12, 6)})\n", "except ImportError:\n", " print('We suggest you install seaborn using conda or pip and rerun this cell')\n", " \n", "# built in python modules\n", "import datetime\n", "\n", "# python add-ons\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import pvlib\n", "from pvlib.tools import cosd, sind\n", "from pvlib.location import Location" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make some ``pvlib Location`` objects. These are the standard inputs to the solar position calculator." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Tucson: latitude=32.2, longitude=-111, tz=US/Arizona, altitude=700\n", "Johannesburg: latitude=-26.2044, longitude=28.0456, tz=Africa/Johannesburg, altitude=1753\n" ] } ], "source": [ "tus = Location(32.2, -111, 'US/Arizona', 700, 'Tucson')\n", "print(tus)\n", "johannesburg = Location(-26.2044, 28.0456, 'Africa/Johannesburg', 1753, 'Johannesburg')\n", "print(johannesburg)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate solar position at those locations. To start, we'll choose times near an equinox. Later, we'll test against times near a solstice." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "times = pd.date_range(start=datetime.datetime(2014,3,23), end=datetime.datetime(2014,3,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "ephemout = ephem_tus # default for notebook" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Single axis tracker algorithm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The steps of the tracking algorithm are:\n", "1. [Define input parameters](#Inputs).\n", "2. [Transform solar position to South facing coordinate system](#Transform-to-south-facing-coordinate-system).\n", "2. [Transform solar position to panel coordinate system](#Transform-to-panel-coordinate-system).\n", "2. [Determine the ideal tracking angle when ignoring backtracking](#Tracking-angle).\n", "2. [Correct the tracking angle to account for backtracking](#Backtracking).\n", "2. [Calculate the panel normal vector based on tracking angle](#Calculate-panel-normal).\n", "2. [Calculate the solar angle of incidence](#AOI).\n", "2. [Calculate the panel tilt and azimuth](#Surface-tilt-and-azimuth)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Inputs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, define the input parameters. From the ``tracking.singleaxis`` docstring..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " apparent_zenith : Series\n", " Solar apparent zenith angles in decimal degrees. \n", "\n", " azimuth : Series\n", " Solar azimuth angles in decimal degrees.\n", "\n", " latitude : float\n", " A value denoting which hempisphere the tracker is\n", " in. The exact latitude is NOT required, any positive number denotes\n", " the northern hemisphere, any negative number denotes the southern\n", " hemisphere, a value of 0 is assumed to be northern hemisphere.\n", "\n", " axis_tilt : float\n", " The tilt of the axis of rotation\n", " (i.e, the y-axis defined by axis_azimuth) with respect to horizontal, \n", " in decimal degrees.\n", "\n", " axis_azimuth : float\n", " A value denoting the compass direction along which\n", " the axis of rotation lies, in decimal degrees. \n", "\n", " max_angle : float\n", " A value denoting the maximum rotation angle, in\n", " decimal degrees, of the one-axis tracker from its horizontal position\n", " (horizontal if axis_tilt = 0). \n", " A max_angle of 90 degrees allows the tracker to rotate to a vertical\n", " position to point the panel towards a horizon. \n", " max_angle of 180 degrees allows for full rotation.\n", "\n", " backtrack : bool\n", " Controls whether the tracker has the\n", " capability to \"backtrack\" to avoid row-to-row shading. \n", " False denotes no backtrack capability. \n", " True denotes backtrack capability. \n", "\n", " gcr : float\n", " A value denoting the ground coverage ratio of a tracker\n", " system which utilizes backtracking; i.e. the ratio between the PV\n", " array surface area to total ground area. A tracker system with modules 2\n", " meters wide, centered on the tracking axis, with 6 meters between the\n", " tracking axes has a gcr of 2/6=0.333. If gcr is not provided, a gcr\n", " of 2/7 is default. gcr must be <=1." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "azimuth = ephemout['azimuth']\n", "apparent_azimuth = ephemout['azimuth']\n", "apparent_zenith = ephemout['apparent_zenith']\n", "axis_tilt = 10\n", "axis_azimuth = 170\n", "latitude = 32\n", "max_angle = 65 \n", "backtrack = True\n", "gcr = 2.0/7.0\n", "\n", "times = azimuth.index" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transform to south facing coordinate system" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The reference that this algorithm is based on used an Earth coordinate system where y points south. So, we first transform our solar position vector to this new coordiante system." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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XEODtwoPXJhDQAWbm6Gjts6X5+7tz6FgJr3+1m6wiI4lRftw5MQ697tJnquho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XAAAg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\nbfMiW3ch2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U4neZ7B6TnPHh4eGI1G3n33XWbOnIler6e6upqAgAAMBgODBw/G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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "az = apparent_azimuth - 180\n", "apparent_elevation = 90 - apparent_zenith\n", "x = cosd(apparent_elevation) * sind(az)\n", "y = cosd(apparent_elevation) * cosd(az)\n", "z = sind(apparent_elevation)\n", "\n", "earth_coords = pd.DataFrame({'x':x,'y':y,'z':z})\n", "\n", "earth_coords.plot()\n", "plt.title('sun position in Earth coordinate system')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transform to panel coordinate system" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Transform solar vector to panel coordinate system. For North-South oriented trackers parallel to the ground, the only difference is the sign of the x component. The x components are the same if ``axis_azimuth=180`` and opposite if ``axis_azimuth=0``." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cos(axis_azimuth_south)=0.984807753012208, sin(axis_azimuth_south)=-0.17364817766693033\n", "cos(axis_tilt)=0.984807753012208, sin(axis_tilt)=0.17364817766693033\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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UfRo27ArmzHmJ3r37nFERfTrSIi3kqtXNJJ/u5Un5rE5NJfetRdgLCzBFRRM1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\nu7Jt2zbsdju1tbUcP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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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OIzOvjBbuNkwfGY67k5WpyxKiQZIgLYQQQggUReFATDZLt5+jutZAvw5ejO8T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\n3v80i6YWM5NHRDBnQm8cDdoPLSIiYm0K0iJdRHNLKyu257DreAFuLk4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate angle from x-y plane to projection of sun vector onto x-z plane\n", "# and then obtain wid by translating tmp to convention for rotation angles.\n", "wid = pd.Series(90 - np.degrees(np.arctan2(zp, xp)), index=times)\n", "\n", "# filter for sun above panel horizon\n", "wid[zp <= 0] = np.nan\n", "\n", "wid.plot(label='tracking angle')\n", "ephemout['apparent_elevation'].plot(label='apparent elevation')\n", "plt.legend()\n", "plt.title('Ideal tracking angle without backtracking')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "``arctan`` version" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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OIzOvjBbuNkwfGY67k5WpyxKiQZIgLYQQQggUReFATDZLt5+jutZAvw5ejO8T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\n3v80i6YWM5NHRDBnQm8cDdoPLSIiYm0K0iJdRHNLKyu257DreAFuLk4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tmp = np.degrees(np.arctan(zp/xp)) # angle from x-y plane to projection of sun vector onto x-z plane\n", "\n", "# Obtain wid by translating tmp to convention for rotation angles.\n", "# Have to account for which quadrant of the x-z plane in which the sun \n", "# vector lies. Complete solution here but probably not necessary to \n", "# consider QIII and QIV.\n", "wid = pd.Series(index=times)\n", "wid[(xp>=0) & (zp>=0)] = 90 - tmp[(xp>=0) & (zp>=0)]; # QI\n", "wid[(xp<0) & (zp>=0)] = -90 - tmp[(xp<0) & (zp>=0)]; # QII\n", "wid[(xp<0) & (zp<0)] = -90 - tmp[(xp<0) & (zp<0)]; # QIII\n", "wid[(xp>=0) & (zp<0)] = 90 - tmp[(xp>=0) & (zp<0)]; # QIV\n", "\n", "# filter for sun above panel horizon\n", "wid[zp <= 0] = np.nan\n", "\n", "wid.plot(label='tracking angle')\n", "ephemout['apparent_elevation'].plot(label='apparent elevation')\n", "plt.legend()\n", "plt.title('Ideal tracking angle without backtracking')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Backtracking" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Account for backtracking; modified from [1] to account for rotation angle convention being used here." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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7FmkiIqJrUFJRjw+XHEJpZQPuurkthvQNgcxOSzQAOKiVCPRxQU5hNfQGo13O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\nNmxgzJgx/Otf/wIgMTGRFStWkJSURFZWFjk5OY4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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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tEBGRoLDl8AH+tW0GbnshjvIExl5wOw1i482OFXBCbCeXd6xKPc6+YwU0TdLy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\n4e/vzxNPPMHf//53jhw5wsaNG+XTjK5y8eJFQHo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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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jsdvtmM1m7Pb/z/1rwf7hh0X4+voxevREBg68i8LCQgCio2sTF3cuw/LlS1m4cB4AQ4cO\nY8CAQcyYMeUPmU2mP+4Zr149jMTEYwDs2+eYfe9akRYREZEycSjjCB/v+y9Zxdk0DIzlnoZ34Ovm\nY3SsCqF585YkJycBcPXVLTl27Cju7h4XHNOwYWPee+8tatQI57cXG/5aIgcP/hdTpkxg7drVFBUV\nMWrUC5jNZu68826eeuoxatQIx8/v/7fW1K5dh4kTxzB69IQLzrNv3x5++mkdJpOJ554bg8Vi4dNP\nP+TRR4cBEB5ek9TUFO6++19MmTKeZcuWYDabefbZ0SxZ8j0ArVq1Ye3aVXz22af07t2HI0eOsGDB\n3AvO07JlG8aPf5G9e3djsViIiIgiNTWVhx9+nOnTJ/Pppx/i6enJ6NETiY8/t72jb99+rFmzipUr\nl/3tnD755CgmTx6Pl5cXFouF4OCQS/lR/CWT3f5nv384v5SUHKMjVAohIb6aSwfSfDqW5tNxNJeO\npfn8cza7jaXHVvHD0ZWYTCZuqtOLbpGd/3IVWvPpWJrPP/rqqwV069YDf/8A/vOfd7FYLAwZcv/f\nvi8kxPdPv6cVaREREXGYrKJsPomby8GMw1RzD2Bo47uo4x9ldCwRAgMDeeKJR/D09MLHx+eCu4pc\nLhVpERERcYj96Qf5dN9cckpyaRrciMFX3Y63xcvoWCIAdOnSjS5dujl0TBVpERERuSJWm5XFR1ew\nPHENZpOZ2+rfRJdaHS56wZdIZaIiLSIiIpctozCTj/Z9QULWMYI9Ahna+C6i/CKMjiVSLlSkRURE\n5LLsSY1jTtx88krzaVG9KYMa9MfT1dPoWCLlRkVaRERE/pFSWynfHlnC6hM/4mp2ZWDsrXQMb6ut\nHFLl6G7oIiIicslSC9J5Zdu7rD7xI6FeITzTagSdarZTiS4n6elpvPLKNAB27dpBQsJhAPr161km\n50tIOMyuXTv+8PqSJd+zYcOPf/q+hQvnA/DLL5tYtOibMsnmDLQiLSIiIpdkx9k9fH5gAQWlhbQJ\na8EdMbfg4epudKwylbJgLjlbtzh0TN9WrQm5feBlvTcwMIiRI0cBsHjxd3Tv3pM6derx2weyONLa\ntasJDAyiWbPmF7zeu3ffv3zf7Nkf0r//ANq2bV8muZyFirSIiIj8pYKSIv6z7Uvi83fhZrZw91UD\naFejldGxKq377rubmTPfxMfHhz59uvHWW+9Tv34sQ4cOZty4SUyaNI6RI0fxyy8bOXgwnqioaIqL\ni5kwYTTJyUn4+wcwa9Y7F4w5YsRwqlULJCcnm+nTX2PmzKmcPHkCu93OAw88xNVXt2DWrLfZuXMb\nVquNLl2u4/rre7NkyfdYLBZiYxswZcoEIiOjcHW1EBkZRVBQMP363cqrr04nLm4fVmspQ4cOIyHh\nCNnZ2bzyyjSuuqoRiYnHePDBR/nvfz9j9erluLq60qxZCx588FE++uh9kpJOk5GRzpkzyTz22Eha\nt25n0Mz/cyrSIiIi8qf2J5/gvZ1zKHXLxJtARrb+F2HeoUbHKjchtw+87NXjy9Wp07Vs3ryJ4OAQ\nwsNrsmXLZiwWNyIjo3Bzc8NkMhEb24C2ba+hR4+ehIaGUVCQz/DhjxAaGsaIEcOJi4sjLCz6gnGv\nv74XHTteyzfffElAQDWefXY02dlZPPLIA8yZM5+VK5fz5puzCAoKYsmS7wkODqF3774EBQVz1VWN\nKCgoYMiQB6hXrz4fffQ+AOvXryUrK4v//OdTcnNzmTfvc+67bzgLF85n5MhRLFnyPSaTiYSEw6xd\nu4pZsz7BbDbz4ovPsHHjTwC4ubkxY8YbbNnyC3Pnfq4iLSIiIhXfvO3rWJ+2FNyslJ6tRbhrxypV\noo3SuXNXZs/+iLCwGgwb9jALFszFZrPSpct1fzjWbj/3p7+/P6GhYcC57R+FhYV/ODYi4twTJo8c\nOcLu3TuJi9uL3W7HZrORnZ3FmDETePfdN8jISKddu2sumi0iIvKCr48fP0bjxk0A8PHx4b77hl/0\nfYmJx2jUqDFm87nL85o2vZqjR48AUL9+LAChoaGUlBT/5dw4G11sKCIiIhfIKypg3MoPWJ+5GDtw\njW9v3JKv5mx6xSo5FVWdOnU5ffoU+/fvo337jhQU5LNhw3rat+9wwXEmkwmbzXbJ4/56QWhUVBTd\nu/fkjTfeY8aMN+jatTuenl6sWbOS8eMn88Yb7/HDD4s4cyYZs9mM3f7/5/i1CP8qOroO+/fvAyA3\nN5eRI0cAYP+14f9PVFQ0cXH7sNls2O12du7cQWRk1AW5KiKtSIuIiMh5u08d5YM9n2N1y8alKIDh\nzQbTKDySY/u3ciw5h1KrDVcXrcOVtebNW5KcnATA1Ve35Nixo7i7e1xwTMOGjXnvvbeoUSOc315s\neLFi+tvX+vXrz7RpL/Hoo8PIz8/n1ltvw2Kx4Ofnz7BhQ/Dw8KBt2/aEhoYRG9uAd955g8jIaC52\nQWPHjp3ZuvUXHn74fmw2G0OHDgOgdu06TJw4hlat2gBQp049unbtxoMPDsVut9OsWXM6derCoUMH\nr3CmjGWy//5XhgokJSXH6AiVQkiIr+bSgTSfjqX5dBzNpWNVtvm02+18tnUlm7JWYTLbCLU25KnO\nd+Llfu6uHB9+H8eGvclMHtaOsEAvh5+/ss2n0TSfjhMS4vun39OKtIiISBWXlZ/Pyz/NJsM1AZPN\nlS5Bfbm9eccLjgkLOleek9Pyy6RIi1REKtIiIiJV2LbEw3yy/wtsbrm4FgXySPO7iQmr+Yfjfi3P\nyen55R1RxGmpSIuIiFRBNpuNjzcvY1vuOkxuNmramzKy2x14uFkuevz/F+m88owp4tRUpEVERKqY\n9LwcXv5pNtmWREw2C9dXv5l+Tf/63r3Vq3lhMp3b2iEi56hIi4iIVCGbjh7g8/i52N3ycSsKYUSr\ne6gT8vf3hra4mgn299DWDpHfUJEWERGpAmw2G7M2fc+egg1gsRNNCx7v0R9314tv5biYsEBv9iSk\nkV9YgpfHpb9PpLJSkRYREankkpJOs3LBW9RJTaVDSgnuNhNm00qOz1956YOYzTS6ugd7CCI5vYA6\n4SrSIirSIiIildjGNUtx/2oBbQusAJiCgnD3D/jH4xSdOknkzpV4h99IcnoedcL9HB1VpMJRkRYR\nEamESkpLWPb+K9TbsR+Ag03r033QMDyCQy5rvMy1qzn72WyuS91KcvpVjowqUmGpSIuIiFQyJ08m\nEv/uy8ScySXH04X8frfSt3ufKxrTv3MX0tevp9HxY2yP3w+d6zoorUjFZTY6gIiIiDjOj8sXkTJ1\nPBFncjke5kvYs+PodIUlGsBkNlPj3iHYMBGxb70DkopUfFqRFhERqQRKSkpY9s406u85jM0E8a0a\n0ev+f2P5B3fl+DueUdFkegfhn5eOzWbDbNZ6nFRtKtIiIiIVXOLRwyS8/yoxKXlke7lQ2v9Obry2\ne5mcq8SnGm55qWSdTadaWHCZnEOkolCRFhERqcDWLv6SgB9+oGaRjWPhATR95FnCQsPK7HymwCA4\nc4i0Y6dUpKXKU5EWERGpgAoLC1j5zjRi4o5RaoaD7a6m979G4OLiUqbndQsJgf2QfSoJaFam5xJx\ndirSIiIiFczhQwc49cHrxKQVkOntiumOwfS9pku5nNs7/Nxqd0HymXI5n4gzU5EWERGpQFZ+81+q\nL19OjWI7CRGBtH70OYKCLu/e0JcjIKImeYAtLbXczinirFSkRUREKoCCgnxWvTWFmPgTlLrAoY6t\n6XX3g2W+leP3QiJrkAuYs9PL9bwizkhFWkRExMkdio8j6cM3iEkvJMPXgvugf9Gn9TWGZHHzdCfP\n4o1nXqYh5xdxJirSIiIiTmzlN/+l+rLlhJXYORIVTLsRz1EtIMjQTAXeAQRnnqK4sBg3DzdDs4gY\nSUVaRETECZ3byjGVmPjjlLrA4U5t6Tl4WLlv5bgYm18gpsxTpCSepmZstNFxRAyjIi0iIuJkLraV\n4waDtnJcjDkoGI5D5olTKtJSpalIi4iIOJFV38wlZPkywortJEQG0fqR5wkKMnYrx+95hoUCkHc6\n2eAkIsZSkRYREXEChYUFrHx7KjH7E/+3laMNPQcPd4qtHL/nV7MGNqA4JcXoKCKGUpEWEREx2OFD\nBzj9n9eJSS8gw8eC213OtZXj94Kia5IC2NPTjI4iYigVaREREQOt+nYeIcuWntvKERFE60edbyvH\n7/lXD+SUyRVLbobRUUQMZUiRvvXWW/Hx8QGgVq1aPPjggzz77LOYzWbq16/P2LFjjYglIiJSbgoL\nC1jx9lRi9ydSaoZDHVvR6+6HnHIrx++ZzWbyPP3wLsjCZrNhNpuNjiRiiHIv0sXFxQDMnj37/GsP\nPfQQI0eOpFWrVowdO5aVK1fSvXv38o4mIiJSLhIOx3Py/deITS8gw8cVy51D6NO2o9Gx/pFin2pU\ny08nNz0Lv+BqRscRMUS5/wp54MAB8vPzue+++xgyZAi7du0iLi6OVq1aAdC5c2c2bdpU3rFERETK\nxerv5pPzylTC0gtIiAik3uhptKhgJRqAoOoAJMUdNjiIiHHKfUXaw8OD++67j9tvv51jx47xwAMP\nYLfbz3/f29ubnJyc8o4lIiJSps5t5ZhG7P5j57ZydGhFr3sqxlaOi/GtVxf2byJ9/0Ho3NroOCKG\nKPciHR0dTVRU1Pm/BwQEEBcXd/77eXl5+Pn5XdJYISG+ZZKxKtJcOpbm07E0n46juXSsS53P/fv2\nsW/mVGLT8sn0ccX//uEM6XpdGacrW426tOboos+wnUx02OdKn0/H0nyWvXIv0gsXLuTgwYOMHTuW\nM2fOkJubS4cOHdi8eTNt2rRh/fr1tGvX7pLGSknRyrUjhIT4ai4dSPPpWJpPx9FcOtalzueaRfMJ\nXLKUGsU2jkYE0urR5wgKCqnwPwsXX1/yLF54pZzkzJmsK77gUJ9Px9J8Os5f/UJS7kX6tttu47nn\nnmPQoEGYzWamTp1KQEAAL774IiUlJdStW5devXqVdywRERGHKioqZPnbU4mN+3UrR0t63fNwhd3K\n8Xtms5ncwHBCzxwm7UQyIVHhRkcSKXflXqQtFgszZsz4w+tz5swp7ygiIiJlIvFYAkffm0Fsaj6Z\n3q64DLyHPu07Gx3L4Vwja8OZw5zaGaciLVWSHsgiIiLiQOuXL8L3268JL7JxtFY1WjzyPCEhIUbH\nKhOBDWNhywpyDh0CdNtaqXpUpEVERBygpLSEpbNmUn/nAezAwTZN6X3f45VmK8fFRF7dkMRPTbic\nPm50FBFDqEiLiIhcoeSk0+x9eyqxydnkeLpQfOsd9O16vdGxypynrxeZ3kH455ylpLgYi5ub0ZFE\nypWKtIiIyBXYvGEN5nmfEZlv5WR1H2IfGUXNmhFGxyo3JaG1sCSkcmLPQeq0bGx0HJFyVe5PNhQR\nEakMrFYriz96A59PP8U330p8k3p0Gv9qlSrRAJ516gGQsueAwUlEyp+KtIiIyD+UkZnGf594mPob\nt1Piaibplhu58fEXsVgsRkcrdzVbNgGg+JCKtFQ92tohIiLyD+zZsYXcOe9TO7uE5EBPag37N83q\nxRodyzA16kdxyt2XgJRE7ZOWKkcr0iIiIpdo6dyPMM16h6DsEg43iKD1+JnUqcIl+lcFterhbivh\n6Ja9RkcRKVcq0iIiIn8jPy+PxVOfp87K9QAc63kd9057DU9PL4OTOQf/pk0BOLt1h8FJRMqXirSI\niMhfOBQfx7ZxT1L/8GnS/NzgoUe5/vZ7jI7lVOp2aIUVEy5H442OIlKutEdaRETkT6xZNJ+gJUsI\nLbZzJCqEDo+/iJ+fv9GxnI53gC/p/jUIzjpN1tk0/KsHGR1JpFxoRVpEROR3SkpKWPTaRGp++wOu\npXYOdWzN9c9PVYn+C6Z6DTABR37aanQUkXKjIi0iIvIbSUmnWT9uJLF7j5Dl7Ur+kKH0GfJIpX7U\ntyOEtWkBQO7ePQYnESk/2tohIiLyP1s3rsc+dzYR+aUcD/OjyWPPE1o9zOhYFULU1Vexx9UDv9OH\nsZZacXHVLx5S+WlFWkREBPhhznt4ffIRfvmlxDetz7XjZqpE/wMuLi5k14rFq7SQwxu3Gx1HpFyo\nSIuISJUtN2z7AAAgAElEQVSWn5fH4inPUm/dz5S6mDjd7wZufOwFLK5V7ymFVyqofVsAzm76xeAk\nIuVDRVpERKqshMPx525tdySZFH833B79N11vHGB0rAorplMrCl3c8D62H6vVanQckTKnIi0iIlXS\nj8u+JfvVaYRmFHIkKpgmY1+mQaNmRseq0CxubmTWjMGnJI+ELbroUCo/FWkREalSrFYri96dTsiX\nX+NeYuNQ+xZc//w03drOQQLatAEg+adNBicRKXsq0iIiUmWkpaWwasKTxG6LI9/dhcy7BtHnvsd0\nazsHanBtW4rMFrwS4rDZbEbHESlTuv2diIhUCXt2bCFv9vtE55RwOtiLuo+MIiIiyuhYlY6bpzuZ\n4fUIPbmfhC17qNdW22Wk8tKKtIiIVHorFszGNOsdAnNKOBgbSbtxM1Wiy1C1azoAkLRmncFJRMqW\nirSIiFRaRUWFLJo5lqhlqwE4dn0X+j49AQ8PT4OTVW4NurYl39UTv6P7KCkqNjqOSJlRkRYRkUrp\n5IlENo57ktj9iWT4WLAOe4jrBwwxOlaV4GqxkFO3CZ7WIvav3GB0HJEyoyItIiKVzuaf1nBm+gRq\npuRxLDyAeqMn06xFG6NjVSkR3bsCkLVxo8FJRMqOLjYUEZFKZcmcWUT9uAkXG8Q3b8ANDz6tu3IY\nILJZLFs8Awk+c4Ts1Ez8ggOMjiTicFqRFhGRSqGwsIDvp71A3XWbzj3q++a+3PjIsyrRBjGbzdia\ntMQFG/sXrzQ6jkiZUJEWEZEK7+SJRH4e9yQxh06R5ueG5dHH6dr3NqNjVXkxfXpgxQTbNume0lIp\nqUiLiEiFtmXjWs5Mn0B4aj5Ha1ajwZgpXNXoaqNjCRBUszqpofWolp+mR4ZLpaQiLSIiFdaSz/+D\n96ef4FNgJb55A7qPmUG1gCCjY8lvBF537qLDpGXa3iGVj4q0iIhUOEVFhXz/8mjqrtmA1WzidL8b\ntB/aSTXo0pZsd18CT8SRm55ldBwRh1KRFhGRCuX0qRNsHPckMfEnSPe14PLI43S9cYDRseRPuLi4\nUNykDRa7lX2LVhgdR8ShVKRFRKTC2LZpPaenjTt/f+j6L06lYWPth3Z2Dfr1xooZ09YNuuhQKhUV\naRERqRCWzv0Ij08+wi/fSnyzGLqOeZmgIO2HrggCawSTWjOWgIIM4tdtNjqOiMOoSIuIiFMrKirk\n+xljqLNyPTaziRN9e3HjiOexuFqMjib/QI0begGQtny5wUlEHEdFWkREnFZy0mk2jH+KmAPHSfe1\nYHrwUbrdPNDoWHIZ6rVtRppvKCEpCSQdSjQ6johDqEiLiIhT2rNjC8enjaHW2VwSa/hR/8XJNG7W\n0uhYcgXcO3XFBBz+erHRUUQcQkVaRESczurv5sOsdwjILSW+UR26jJ1JUFCI0bHkCjXpcx15rl4E\nHN5BXmaO0XFErpiKtIiIOA2r1cqid6dT87sfcLHbOdr9Wm58Yoz2Q1cSFnc3Cpq1w91Wwu753xkd\nR+SKqUiLiIhTyMnOZvmkUcRuiyPX04W8e4fQc+C/jI4lDtb0jn4UmS14bP+JooJCo+OIXBEVaRER\nMdyxhMPsnPgMdY+nkhzoSfWnXqD1NV2MjiVlwCfQn8zYVniXFrDrq6VGxxG5IirSIiJiqF9+XEX6\nK5MJzSjkSHQIrcbOICKqjtGxpAxddcfNlJrMmDauxlpqNTqOyGVTkRYREcMs/eIDfOfMwavIxsHW\njbn+ual4eXsbHUvKWHCtUFKjmuBflM3uxWuMjiNy2VSkRUSk3JWUlLBo5ljqrP4Jq4uJpH596Tv8\nKVxcXIyOJuWk3u23YAeKVi/TY8OlwlKRFhGRcpWSksK68U8Suz+RDJ9zD1np2vc2o2NJOQuPjeZs\njRgC81LYv+Zno+OIXBYVaRERKTdxe3dyZPLzRCZncyLUlzrPT9RDVqqwWrfcDEDmkh8MTiJyeVSk\nRUSkXKxb8jWlb79OYE4JBxtE0nncK4RUDzM6lhiodouGnA2KJCTzJHvXbTU6jsg/piItIiJlbvGH\nbxD61be4Wu0c6dKevk9NwGLRQ1YEgm7oC8DhLxYYnETkn1ORFhGRMlNUVMjiaS9Qf9N2Ct3MZN05\niN6DhxsdS5xIbKdWpPmGEpJ8mKPb44yOI/KPqEiLiEiZSElJ4acJT1P/0CnS/NzwGvEk7bteb3Qs\ncTJmsxn/vuf2Sp/8cqHBaUT+GRVpERFxuPj9ezgy+XkizuRwPMyPmBcmEdOgkdGxxEk16NqWNP9w\nQs8e4cjWvUbHEblkKtIiIuJQG1b9QOGbr567qDA2gmvHziQoKMToWOLEzGYzNQcOACBJq9JSgahI\ni4iIwyyZM4vAefNxK7FxqGNr+j49URcVyiVp3qsDKQE1qZ56lMO/7DI6jsglUZEWEZErVlJawqJX\nxlF33SZKXE2k3nYLfYY8YnQsqUDMZjPBN53bK5381VcGpxG5NCrSIiJyRTIy01gz4Wli446R4WPB\n5cERdOrZz+hYUgHFdm5NSrVaVE9L5NDGnUbHEflbKtIiInLZEo7EEzfxeaJPZ3IqxJvo5yfSqGkL\no2NJBRZy860AnP1Ge6XF+alIi4jIZdn80xqyXp1GSFYRh+qE0X7sDEL1pEK5QjEdWpx72mH6CeJ/\n1NMOxbmpSIuIyD+2fP4n+Mz5FM8iGwfbNKXXqEl4eHgaHUsqibBb+wOQ9vVCbDabwWlE/pyKtIiI\nXDKr1cqiNycTvXwtVpOJpJtuoO+wkbi4uBgdTSqRem2bcSa0LsHZSexb9qPRcUT+lIq0iIhckry8\nHFZMeobYXQfJ9nLB+sBwut44wOhYUklFD7oTGyYKfvgGa6nV6DgiF6UiLSIif+vkiUS2jX+GOsfT\nSAryJOzpMVzdsp3RsaQSi2hUj5TIxgQUZLDjq6VGxxG5KBVpERH5S7u2bybp5YmEpRdwJDKYVmOm\nUysiyuhYUgXE3nMnpSYzprVLKC4oMjqOyB+oSIuIyJ9at/RbzP95F//8UuKbxXD9C9Pw9vY1OpZU\nEdWjw0mLaY1vcS7bv/jG6Dgif6AiLSIiF/XD7PeovvBrXKx2Eq7ryI0jntdFhVLumv1rIEVmC56b\n15CXmWN0HJELqEiLiMgFSkpLWPTqBOqt/5lii4n0AbfTa9D9RseSKsovuBrZzTriaS1k55wFRscR\nuYCKtIiInJeXl8OqSaOI3ZdApo8rrg+OoGP3PkbHkiqu+d39yXf1xH/3RtKTUo2OI3KeirSIiABw\n6tQJtk54hjon0kkK8qTW02P1uG9xCl5+PhRf0x03eyn7Pv7c6Dgi5zlFkbbb7YwdO5aBAwdyzz33\ncOLECaMjiYhUKXt3bePU9PHUSCsgISKIVmOmE14zwuhYIuc1H3gjWR4BhCTs5GTcEaPjiABOUqRX\nrlxJcXExc+fO5cknn2TKlClGRxIRqTJ+WrkY26y3CMgrJb5xXXq8OF135hCnY3Fzw713P8zYOTZH\nq9LiHJyiSG/bto1OnToB0KxZM/bu3WtwIhGRqmHJ5/8haP4CLKV2jnRpz43/Hq07c4jTatz7WlL8\nw6meksCRLXuMjiPiHEU6NzcXX9//X/1wdXXFZrMZmEhEpHKzWq0sev0l6q7ZQImLiZTb+tN78HCj\nY4n8JbPZTMS995LqVwN3by+j44jganQAAB8fH/Ly8s5/bbPZMJv/vuOHhOj/enQUzaVjaT4dS/Pp\nOCEhvuTm5vDN86OITUwly9uV4BH/plv79kZHq5D02XSsS5nPkG6taNmtVTmkqfj0+Sx7TlGkW7Ro\nwZo1a+jVqxc7d+4kJibmkt6XkqIbsztCSIiv5tKBNJ+Opfl0nJAQX3bvjif+9ZeonZpPcqAndR9/\nnpo1IzTHl0GfTcfSfDqW5tNx/uoXEqco0j169GDDhg0MHDgQQBcbioiUgR1bNnPqtZmE55ZytFY1\nrhk5Hl8/P6NjiYhUWE5RpE0mE+PHjzc6hohIpbVxzVK8F8yjWrGd+Ea16TXieSyuFqNjiYhUaE5R\npEWqqpTjSVSrEYyrRYVGys7yBbOptWI1Jjsc7tSWG+99yOhIIiKVglPctUOkKspJzyR1wgtsmvy6\n0VGkkrJarSyaNYOoZauxmU1kDezPDSrRIiIOoyItYhAvf18yfYIIPbGX+B+3Gh1HKpmSkhKWzBxD\n7Ja95Hm4UDRkKDcOHGR0LBGRSkVFWsQgLi4uVB90D3Ygc8EXlJaUGB1JKomc7CzWvPQUMQdPkebn\nhv/jT9OyXSejY4mIVDoq0iIGqtumCWejm1ItP52tc742Oo5UAqdOHWfHS6OIPpXFqRBv6j07kbr1\nGxgdS0SkUlKRFjFY02H3UujihvfPK8g8k2Z0HKnA4vbu4NTLEwhLLyQhMph2Y14mpHqo0bFERCot\nFWkRg/lXDyK/XQ/cbSXs+fhzo+NIBbVp/QqK332TgNxSDjaqQ48XpuHpqUcoi4iUJRVpESfQ8q5+\nZHn4E3J4ByfjjhgdRyqYFV99jt/nn+NRbONwx9b0fWIMLi4uRscSEan0VKRFnIDFzQ33G27BjJ1j\ncz4zOo5UIN9/8CqRP6wATCTd1IcbhjxidCQRkSpDRVrESTTu1ZmUgFpUTznK/nWbjY4jTq6ktIRF\nM8cQ8/Mu8t3N5N8zhK433m50LBGRKkVFWsRJmM1mwgYOBCDj26+w2WwGJxJnlZubw+qXniF2/3Ey\nfCx4j3iS1h2uNTqWiEiVoyIt4kTqtmrMmdB6BGcns2/5T0bHESeUlHSKrS89Q+2TGSQFeRH97ARi\nGjQyOpaISJWkIi3iZKIGDsAO5C35DqvVanQccSLx+/eQOH0c4akFHK0VSOsx0wkNq2F0LBGRKktF\nWsTJRDaJ4WzNqwjMS2XP92uMjiNO4pcNq8l/+1UCc0o4dFU03V6cjpe3j9GxRESqNBVpESdUd9Ad\n2DBRvGIx1lKtSld1K7+di8/sOXgV2jjcvgV9nhyHq6ur0bFERKo8FWkRJxQeG01KVBMCCjPY+fVS\no+OIgb7/5E1qfb8UsHOqTy9uuO8xoyOJiMj/qEiLOKnYuwdSajJjX7uUkuJio+NIOSu1lvLdq+OI\n+WkbhRYzeYPv4bpbBhodS0REfkNFWsRJVY8OJ61uc/yKctgxb7HRcaQc5eXnsWLSMzTYd4xMbwue\njz5Bm07XGR1LRER+R0VaxIk1uucOSkwuuG5cSUmRVqWrgjNnT7N54tPUPZ5OcqAnEaPGEduwidGx\nRETkIlSkRZxYYHh10mNa4lOSx86FS4yOI2Xs0ME4EqaOpWZKPonh1Wg5ejo1wmsaHUtERP6EirSI\nk7vqzv6UmsyYNqyitKTE6DhSRrZsWkfOmzMIyi7hUEwEXUZPx9vX1+hYIiLyF1SkRZxccK1Q0mo3\nxa8om93frTI6jpSBVYsX4PHpJ/gU2Djcphl9npmIxWIxOpaIiPwNFWmRCqD+Hf2xYaJ07TI97bCS\n+X7OO4R/sxgXm53jvbpzw7AnjI4kIiKXSEVapAIIqxvB2VoNCSjIYN+yH42OIw5Qai3l2zcmELNu\nM8UWM9l33kX32wYbHUtERP4BFWmRCiK6fz8AclctNziJXKn8wnyWT3mWq3YnkOXliuXBEbTr2sPo\nWCIi8g+pSItUEJFNYjgbHE1w1mkO/7LL6DhymVJSz7Bp4tPUO5bK2QAPwp8ZS8OmzY2OJSIil0FF\nWqQCCerZG4CkRXpAS0V0JOEgB6eMJuJMHsfD/Gk6eho1a0UYHUtERC6TirRIBRJ7bWvSvUMIST5E\n0qFEo+PIP7B96wYyX5tGSFYxh+vWpPOY6fj5+xsdS0REroCKtEgFYjabcbu2G2bsHP5qkdFx5BKt\nWfo1lg8/wDffyqEWjek1aiJubu5GxxIRkSukIi1SwTTpex25Fm8CjuwiLyvX6DjyNxZ/MYuwr77F\nxWrnWI8u9Hn4Kcxm/dMrIlIZ6F9zkQrG4uZGQeM2uNtK2Pv1UqPjyJ+wWq189/Zk6q/eRImLicwB\nA7j+jiFGxxIREQdSkRapgBr270OpyYx560/YbDaj48jvFBYVsHT68zTYcZBsLxfMDzzMNd1vMDqW\niIg4mIq0SAVULSyYtJoN8C/M5MCaX4yOI7+RnpHGjxOfof6RM6T4u1P9iRdo3KK10bFERKQMqEiL\nVFDhN5y7FV76yhUGJ5FfJSYeIW7y80Ql53Ai1I+GL0whsnYdo2OJiEgZUZEWqaDqtmlCmk91glOO\nknI8yeg4Vd7uHZs5O3My1TOKOFw7jI5jplMtMNDoWCIiUoZUpEUqMJfW12DGzsFFy4yOUqX9uOp7\n+M+7+OdbOdgslp7PTsLd3cPoWCIiUsZUpEUqsEZ9u1NscsVj31asVqvRcaqkpfM+Jmjel1hK7CR0\n6UjfEc/h4uJidCwRESkHKtIiFZi3vw8ZkQ3xLc7lwFpddFierFYri96dTp0V67CaTaTcegu9Bt9v\ndCwRESlHKtIiFVyN67sBkL5mrbFBqpDi4mKWzHiR2G1x5Hi6YL1vOJ179zM6loiIlDMVaZEKrk7r\nJmR4BhKcfJiM5FSj41R6mZkZrJv4NDGHkkj1dyPw36O4unU7o2OJiIgBVKRFKjiz2Yz96ra4YCN+\nyRqj41RqJ04ksmfSc0QlZXGyug+xz0+mdt0Yo2OJiIhBVKRFKoGY3l2xYcK+e6vRUSqtvbu2kTxj\nIqEZhRyJrs41Y14mKCjY6FgiImIgFWmRSiAwvDppgREE5Zzh9KFjRsepdDauXoJ11lv455US37Q+\n1z83BQ8PT6NjiYiIwVSkRSoJ95ZtADi6bK2xQSqZ5QtmEzB3Hm4ldo5c254bH3tBt7cTERFARVqk\n0riq57WUmFxwO7ADm81mdJwKz2az8f17M4hethqr2cSZW/rR++7hRscSEREnoiItUkl4B/iSHlYP\n/8Isjm6PMzpOhVZSUsKSl0cTs3UvOZ4ulAy9ny433GJ0LBERcTIq0iKViH/79gCcXvujwUkqruzs\nbNZOeIr6h06R6u9GwOPP0KJNB6NjiYiIE1KRFqlEYru2o9jsiufR/drecRlOnTjOronP/O/2dt7U\nf/Yl6taLNTqWiIg4KRVpkUrE3dODjNA6+BVlc3LfYaPjVCj7dm/n9IwJhGYUcjg6hPZjXiYkpLrR\nsURExImpSItUMt5XtwDgxPpNBiepODauXkrpe+dub3egaV2uf24Knh5eRscSEREnpyItUsnEdG2P\nFRPmQ3uNjlIhnLu93VzcSmwcurYdNz02GlcXV6NjiYhIBaAiLVLJ+AT6kx4YQVBuCimJp42O47Ss\nVivfv/fy+dvbJd9yI33uftDoWCIiUoGoSItUQq6NmwGQsGajwUmcU3FxMUtmjCZm675zt7f71310\nvaG/0bFERKSCUZEWqYTqdLkGgNJ9uwxO4nwyszJZ+9JTxBw6TaqfG4H/HkWLth2NjiUiIhWQNgKK\nVEIhkTU44h1MtcxTFOTl4+mtC+cAEo8f5fib04jOKORkdR+ajhxHcHCw0bFERKSC0oq0SCVVGlkP\nV7uNhJ93Gh3FKezc/gtnZ7xEaEYhR6Kqc82Yl1WiRUTkiqhIi1RS1Zo1ASBj1x6Dkxhv7dKvcfnP\ne/jnWznYLJbrn5+Ch4en0bFERKSCU5EWqaTqtG2OFTMux6v2g1l+mPMuoQu/xcVq52i3a+k74jlc\nXFyMjiUiIpWA9kiLVFKevl6k+4cRnHWa7NRM/IIDjI5UrkpKS1j65mRi9x2lwM1M3q2307N7b6Nj\niYhIJaIVaZHKrHYMJuDopm1GJylXeXk5rJo0ith9R8n0ccXy0AiuUYkWEREHU5EWqcRCWjQFIHtv\n1XnK4elTJ9g64RnqnEgnKciTWk+Po2GT5kbHEhGRSkhFWqQSq92qMcVmVzxOJRgdpVzs27ODk9PH\nUyOtgISIQFqNmU54zVpGxxIRkUpKRVqkErO4uZEZFIF/YRYpx5OMjlOmNqxcQum7bxCQV0p84zp0\ne2Ea3t6+RscSEZFKTEVapJIzR9UB4PSu/QYnKTvL/vsR1ebPw63EzuFr23Ljv8dgcbUYHUtERCo5\nFWmRSi6gfj0Aco4cMTiJ41mtVr5/cwq1V63H6mLibP+bueHuh4yOJSIiVYSKtEglV6tZg3N/STpp\nbBAHKyjIZ/nkZ4nZFU+WlwvWBx7k2l43Gx1LRESqEN1HWqSS8wuuxiE3X3wzz2Cz2TCbK/7vz0lJ\npznwxkvUTcnnTDUPokY8S2RktNGxRESkiqn4/4sqIn8rP7AGntZCUhJPGx3liu3ft4vj08dSMyWf\nozWr0Wz0NJVoERExRLmvSHfu3Jno6GgAmjdvzhNPPMHOnTuZPHkyrq6uXHPNNTz66KPlHUukUnOp\nFQHJB0neG09o7Yp7O7gNa5bi/eV8qhXZOHhVND0ff0EXFYqIiGHKtUgfP36cRo0a8e67717w+rhx\n43jrrbeoVasWw4YN48CBAzRo0KA8o4lUagEx9WDrKnKOJADdjI5zWZZ88R+i1m7AbIfDHVrT91+P\nGB1JRESquHLd2rF3717OnDnDPffcw/Dhwzl27Bi5ubmUlJRQq9a5VbKOHTuycePG8owlUunVanrV\nub8knTA2yGUoKSlh0WsTqLt6w7k7c9x6CzeoRIuIiBMosxXpL7/8kk8//fSC18aOHcvw4cPp2bMn\n27Zt46mnnuLtt9/Gx8fn/DHe3t6cPFm57i4gYjS/4AAOVsALDrOzs1g+7gliT2aQ6e2K99CH6Nys\npdGxREREgDIs0rfddhu33XbbBa8VFhbi4uICQMuWLUlJScHb25vc3Nzzx+Tl5eHn53dJ5wgJ0VPL\nHEVz6VjOOJ9FIeH4nYqnNCuLmjGRRsf5W4cOHmTv5PFEZxRyOtibduMmERERYXSsCs8ZP5sVmebT\nsTSfjqX5LHvlukf6rbfeIiAggPvvv58DBw5Qo0YNfHx8cHNz48SJE9SqVYuffvrpki82TEnJKePE\nVUNIiK/m0oGcdT5N4RFwKp79P27HrVo1o+P8pW0//wiff0L1AisJtUO5duRYPDy8nHJeKxJn/WxW\nVJpPx9J8Opbm03H+6heSci3Sw4YN4+mnn2bdunW4uroyZcoU4NzFhk899RQ2m40OHTrQtGnT8owl\nUiX416sDWyA3MdHoKH9p1VdfELZsBa5WO/EtG3LvC+NIT883OpaIiMgflGuR9vPzY9asWX94vVmz\nZsybN688o4hUOQG1apAH2DLSjY5yUVarlSXvv0L9bfsodTFx/IYe3HjrXee3g4mIiDgbPdlQpIqo\nVjOUPMCcm2V0lD8oLChgzcyxxBw7S46nC/ZB99KjfWejY4mIiPwlFWmRKsLLx4t8Fw/c87ONjnKB\n5NOnOPDGZOqm5nGmmju1Hn6K2rXrGx1LRETkb6lIi1Qh+R6+BOSnY7fbMZlMRsdh367t5H30DuF5\npRytFUC7kePw9wswOpaIiMglUZEWqUJKvPxwzUuhID0TryBj79yxbuk3BH77LQEldg40rk3vR5/X\n475FRKRCUZEWqUJsfgGQAhmnzhhapBd//CZ1N27DZoIjXa/hpruGGZZFRETkcqlIi1Qh5mqBAGQn\nnaFm0wblfv6iokJWvD6RmIOnyHc3k3/bAHp37VXuOURERBxBRVqkCnEPCgag8GxKuZ/77Nkkdr8+\niZgzuaT5uRE07HGubtCo3HOIiIg4ioq0SBXiFXquSBenpZXreffu3kbex+8RmVPCiVA/mo8cQ+D/\nSr2IiEhFpSItUoX41QilGLBnZpTbOdf8sJDgRd9TrcTOwaui6PnYi1gsuqhQREQqPhVpkSqkWo1g\nTmMul4eyWK1Wlnz4OvW27P7fRYUd6HvXA2V+XhERkfKiIi1Shfh5uxNv8cI9v2yLdH5eHmtfG0/M\n0bPkeZgpun0Qva/tXqbnFBERKW8q0iJViMlkosDdF//cJOylpZhcHf9PwMkTxzny1lTqpeVztpo7\n4Q+OpE7dWIefR0RExGgq0iJVTLG3H6bcJIrS0/CoHurQsbf//BP2zz+mRoGVhIhArnliLH5+/g49\nh4iIiLNQkRapYux+1eAMZJ0849AivfLLz6ixYhUWq50DzWPp8+AzuLi4OGx8ERERZ6MiLVLFmALO\nPdEwO/ksjqjRpaWlLH17GjF7DlHsaiLxhh7cdOtdDhhZRETEualIi1QxHkFBgGMeypKRmcaWVycS\ncyqTLC8XXAYPpUebDlc8roiISEWgIi1SxXiGhgBQnJ5+ReMcjN9L6vtvEJ1VzOlgL+qPeJaaNSMd\nEVFERKRCUJEWqWL8apzb0OF6OpHMNav+2ZvtdmwlJRw5eRTL9q0EF9k4VLcG3Z4Yg4eHZxmkFRER\ncV4q0iJVTGCIP4kunvhmnuXs53Muawx/+L/27j0uyjrv//hrOMlhYIajkICinAwzE81z1m1rmQra\nlm6ZHdjUzF3rftTu5q+Dtmvp7qPc2tW2Xe/M8rBaQK2la7qetdQSVhQVjQhRSUBEHFAYmPn9UXK3\n3uUBLxxG3s//GAf9zNtrvtebi+u6BocJvuyfyvCMXxo7oIiIiJtQkRZpY6zmdszuMJQegXWkD+x8\nyd9X12Dnw32bqPI+Tr2HDwOTRnFXb50PLSIibZeKtEgb4+XpgSmsPTvtjdzfqzceJtNFv6f4RDl/\n/Pwt7HFVeNVF8kSvDDqHG3sPahEREXejIi3SBiXGWPks/xuOVdQQHW6+4HM3HdrLe18tB586gu1d\nmPZfDxHQzvcqTSoiItJ6ebh6ABG5+pJjrQAUHK664PMWbP+E5cWLcHrV081nIL/9yQSVaBERke/o\niLRIG5TUVKRPMiQ1+v/8eZ3dzu83Lua4535MDm/SYn7KHV17Xu0xRUREWjUVaZE2KNzqR3BgOwpK\nqnA6nZi+d5700ZOVvLL9LerbleNZb+EXNz1MYvsOLpxWRESkdVKRFmmDTCYTSbFWtucf59iJWjqE\nBU1QEN0AABfBSURBVACwrXA/Sw8tg3ZnCLLHMu3WDIJ8/V08rYiISOukc6RF2qjk2GDg29M7ABbu\nWMuSondwep8hybsPL/3kcZVoERGRC9ARaZE2Kinm2/Ok9xaVs6VyDWUeBzA5vBnR4R6GpfRy8XQi\nIiKtn4q0SBsVEeyHxdrIfu9VeHicwrPOwpSeD5Ok86FFREQuiYq0SBtVeOprHAlb8DCdxWKPY9qt\nDxPo5+fqsURERNyGirRIG+N0Otl4ZBvZX34MHjAw5HbG3nA7Hh66ZEJERORyqEiLtCH1jfUsPZDF\n58dzCfQx8/OUB0gI7uzqsURERNySirRIG1Fx5gR/2/MuR22lxAXF8ugN47G2s7h6LBEREbelIi3S\nBuSfKGBh/lJqG84wsENf7klIw9tDb38REZEroT2pyDXM4XTwydcbWFm0Bk8PT8Yl30v/63q7eiwR\nEZFrgoq0yDXqTMMZ3t33HnkV+QS3szLhhvF0DIpx9VgiIiLXDBVpkWvQUVsp/7N3EWW1FSQFx/NI\nyv0E+phdPZaIiMg1RUVa5Bqzo3QXfy/Ixu6w85PYWxnZ+Q48PTxdPZaIiMg1R0Va5Bphb7Tz/qEV\nbDu2Az8vXx5JuY8bw7u5eiwREZFrloq0yDWg4kwl/7N3ESWnjxJtvo5Hu40n3D/U1WOJiIhc01Sk\nRdzcnop9vLNvOWcaztA/qjf3Jo7Cx9Pb1WOJiIhc81SkRdxUo6ORj4vWsKZ4A94eXjyQfC/9dGs7\nERGRq0ZFWsQNnao7zdv5SzhU9RXhfqE82m080YHXuXosERGRNkVFWsTNfFlVxIK9izlVf5obw7sx\nvuu9+Hn5uXosERGRNkdFWsRNOJ1O1pVs5h+F/wRgdPxwhsTcgslkcvFkIiIibZOKtIgbsNlrWLz/\nPfZU7MfiE0hGtweIt8a5eiwREZE2TUVapJX7sqqIt/OXUlV3iqTgeB5OuY8gn0BXjyUiItLmqUiL\ntFIOp4NPvl7PyqK1mEwmRna+k6Edb8XD5OHq0URERAQVaZFWqaruFO/kL+NgVSHB7aw8nHKfTuUQ\nERFpZVSkRVqZ/BMFvLtvGTZ7Dd3DUnig670EePu7eiwRERE5j4q0SCtR32hnxVf/ZEPJVrxMntyb\nkM7g6P66K4eIiEgrpSIt0goUnTrMov3LOV5bToR/GI+k3E9sYLSrxxIREZELUJEWcSG7o4FVRWtZ\nW7wRJ05uixlIWuc78fH0cfVoIiIichEq0iIuYm+0MyfnDQ6fPkqobzAPdB1DYnAXV48lIiIil0hF\nWsRFnDhpdDoY2KEvo7vcha+Xr6tHEhERkcugIi3iIj6ePvy/m//b1WOIiIhIM+mTHUREREREmkFF\nWkRERESkGVSkRURERESaQUVaRERERKQZVKRFRERERJpBRVpEREREpBlUpEVEREREmkFFWkRERESk\nGVSkRURERESaQUVaRERERKQZVKRFRERERJpBRVpEREREpBlatEivXbuWp556qunr3bt3M2bMGO6/\n/37mzp3b9PjcuXO59957ue+++8jLy2vJkUREREREDOHVUn/xSy+9xLZt2+jatWvTY9OnT2fu3LlE\nR0czceJEDhw4gMPh4IsvvuD999+ntLSUX/7yl2RmZrbUWCIiIiIihmixI9I9e/ZkxowZTV/bbDbs\ndjvR0dEADBw4kG3btrFr1y4GDBgAQFRUFA6Hg5MnT7bUWCIiIiIihrjiI9KZmZm88847//HYrFmz\nGDZsGDt37mx6rKamBrPZ3PR1QEAAJSUl+Pr6YrVamx739/fHZrMRHBx80X87PDzwSseX7yhLYylP\nYylP4yhLYylPYylPYynPlnfFRfqee+7hnnvuuejzAgICsNlsTV/X1NRgsVjw9vampqbmPx4PDNR/\nvIiIiIi0blftrh1msxkfHx9KSkpwOp1s3bqV1NRUbrrpJrZu3YrT6eTYsWM4nc7/OEItIiIiItIa\ntdjFhj/kxRdf5Omnn8bhcDBgwAC6d+8OQGpqKmPHjsXpdPLCCy9czZFERERERJrF5HQ6na4eQkRE\nRETE3egDWUREREREmkFFWkRERESkGVSkRURERESaQUVaRERERKQZWm2RPnXqlKtHuKYoT+MoS2Mp\nTxGRy6e101jNzdNzxvc/x7sVaGxs5PXXX2fJkiWUlJQQEBBARESEq8dyW8rTOMrSWMrTeHa7nezs\nbGpra4mIiMDT09PVI7ktZWks5WkcrZ3GutI8W90R6Y0bN1JSUsLs2bPx9/cnMzOTvLw8AHSnvsun\nPI2jLI2lPI311VdfMXbsWA4cOEB2djZvv/02FRUVgPK8XMrSWMrTWFo7jXWlebaKIl1YWEh9fT0A\nBQUF9O3bl9DQUEaMGEF8fDwrVqwAwGQyuXJMt6E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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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eVT6F15334N+osdaxvJZ/g4YkTH6W498v5vj3i0l9/RWCr+lOxJCh6H18tI7n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\n9uzBc889h1dffRUAEBUVhYqKCvj4+ECj0eC///u/ERQUJGV8h9L1Z52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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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UfRo27ArmzHmJ3r37nFERfTrSIi3kqtXNJJ/u5Un5rE5NJfetRdgLCzBFRRM1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\npL/IOgAAAABJRU5ErkJggg==\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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H3uIEgGRR1+xRQXaaUlNsZpcCfCSCNBCDSrjgEEAS6vL61NXjZ1sH4gZBGohBRyZ3cFQ4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\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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bPq+L1g7ULII0UAOKAxPokQZQTsWhLBw2RK0iSAM1oDSMhR1pAGUWCfmVSueUyTKUBbWH\nIA3UAMaDAxgrIwcO2ZVG7SFIAzUgGk/L63Gq3ueu9lIA2EyEoSyoYQRpoAZEExlFgn6GsQAou9KO\nNDd3oAYRpAGbyw7mlRwYpK0DwJgo7UhzlzRqEEEasLlY8aBhkIOGAMqPu6RRywjSgM1FGcYCYAyV\nxoSzI40aRJAGbG7k6juCNIDy83ldavC72ZFGTSJIAzZXfHLjDmkAYyUc9CuayMgwjGovBagogjRg\ncyM90uxIAxgbkZBPmWxeAxmGsqC2EKQBm2OqIYCxNnJzB+0dqC0EacDmovG0/F6X6hjGAmCMjNwl\nzYFD1BaCNGBz0XiG3WgAYyrMmHDUKII0YGPpbE79mRz90QDGFGPCUasqEqQNw9BNN92kRYsW6fLL\nL1dnZ+dBb3/44Yd18cUXa+HChfrpT39aiSUBNSHG1XcAKqD4GBPjCjzUmIo0TT7++OPKZrNavny5\nXnjhBS1dulR33nln6e3f/va39Zvf/EZ+v1/nnXeeFixYoGAwWImlAbZW3B1iqiGAsVTqkWYoC2pM\nRYL0unXrNH/+fEnSnDlztGnTpoPePmvWLPX19cnhcEhS6SWAY8NUQwCV4HG7FKz3MJQFNaciQTqZ\nTB60w+x2u1UoFOR0DnWWzJgxQ5/85CdVX1+vc845R4FA4Ig+bmsru9blQi3Lyyz1zOSHhiN0TAqb\nZk2jYeW1mw21LC/qOaItUq/OvQm1tARGvSFGPcuLeo69igTpQCCgVCpVev3AEL1lyxY98cQTWr16\nterr6/XVr35Vv/3tb/XRj370sB+3uzsxZmuuJa2tQWpZRmaq5859cUmSyyiYZk1Hy0z1tDpqWV7U\n82ChOo+yuYK2vxFVsN571L+fepYX9Syfd/qGpCKHDefOnasnn3xSkvT8889r5syZpbcFg0HV1dXJ\n6/XK4XAoEokoHo9XYlmA7RV7pGntADDWimcxuLkDtaQiO9LnnHOO1q5dq0WLFkmSli5dqlWrVmlg\nYEALFy7Upz71KX32s5+V1+vV5MmTddFFF1ViWYDtRRMZ1fvc8nsZxgJgbBVv7ogm0prSTksBakNF\nnl0dDoduvvnmg36to6Oj9P8XLVpUCtkAyicaT6ulkRs7AIy9cIjphqg9DGQBbKo/nVM6m2eqIYCK\nKLV2MN0QNYQgDdhUbPjJjKmGACqhNJSFu6RRQwjSgE0VByOE2ZEGUAFNAZ8corUDtYUgDdhUcTAC\nO9IAKsHtcqox4GUoC2oKQRqwqZHx4ARpAJURCfkVS2RUMIxqLwWoCII0YFPFAz8cNgRQKZGgT/mC\noUQqW+2lABVBkAZsqnjgh2EsAColXLq5gz5p1AaCNGBT0XhGgTqPvB5XtZcCoEaUhrLQJ40aQZAG\nbMgwDEUTafqjAVRUsZWMmztQKwjSgA2l0jllBwv0RwOoqOI37wxlQa0gSAM2VOqPDrEjDaBy2JFG\nrSFIAzbEHdIAqqGxwSuX08GONGoGQRqwoeKJeVo7AFSS0+lQU8DLjjRqBkEasCF2pAFUSzjkV28y\no3yhUO2lAGOOIA3YUHE3KMyONIAKiwR9MgypL8lQFtgfQRqwodhwf2I4wI40gMoqHThkKAtqAEEa\nsKFoIqNQg1ceN1/iACqrdAUeQ1lQA3iWBWzGMAzFEhlGgwOoCq7AQy0hSAM2kxgY1GCuwEFDAFVR\nGhPOFXioAQRpwGZica6+A1A9keDQY0+MHWnUAII0YDPFXaAIUw0BVEGw3iO3i6EsqA0EacBmin2J\nxV0hAKgkh8OhcNBHjzRqAkEasJniLhCHDQFUSyToVzyVVS7PUBbYG0EasJmRHmmCNIDqiIR8MiTF\nuEsaNkeQBmwmmsjIIamJYSwAqqR42JkgDbsjSAM2E42n1Rjwyu3iyxtAdTCUBbWCZ1rARgrDw1i4\n+g5ANYWDjAlHbSBIAzaSSGWVLxgcNARQVcUzGtwlDbsjSAM2Utz94eo7ANVUGhPOXdKwOYI0YCNR\nbuwAYAINfrc8bietHbA9gjRgIyNTDdmRBlA9DodDkaBPMQ4bwuYI0oCNFPsR6ZEGUG2RkF/x/kEN\n5hjKAvsiSAM2UtqRJkgDqLLiN/SxJO0dsC+CNGAj0XhGToeDYSwAqm7k5g7aO2BfBGnARmKJtJqC\nXjmdjmovBUCNK90lzRV4sDGCNGAThYKhWCLL1XcATKE03ZAr8GBjBGnAJvpSWRUMhrEAMIeRu6TZ\nkYZ9EaQBm4jGi1ffEaQBVF/psCGtHbAxgjRgEzGmGgIwkQa/W16Pk9YO2BpBGrAJdqQBmInD4VA4\n6OewIWyNIA3YRLEPkamGAMwiEvQpOTCowVy+2ksBxgRBGrCJ4o40hw0BmEXxJ2QcOIRdEaQBm4gm\nMnI5HQo1eKu9FACQxF3SsD+CNGATsURG4aBPTgfDWACYQ2m6IQcOYVMEacAG8oWCepOZ0gAEADCD\nCDvSsDmCNGADvYmsDEMKc9AQgIkUv7mP0SMNmyJIAzZQvKeVHWkAZlI6bBintQP2RJAGbKD4Y1Ou\nvgNgJnU+t3weF7d2wLYI0oANjEw1ZEcagHk4HA5FQj5aO2BbBGnABkamGrIjDcBcikNZMoMMZYH9\nEKQBGyj+2JRhLADMpniXdC+70rAhgjRgA9F4Wm6XU8F6T7WXAgAH4cAh7MxdiT/EMAwtWbJEW7Zs\nkdfr1a233qpJkyaV3r5x40Z961vfkiS1tLToP/7jP+T1Mp0NOFKxxNAd0g6GsQAwmeJPyjhwCDuq\nyI70448/rmw2q+XLl+u6667T0qVLD3r7jTfeqGXLlun+++/X/PnztXv37kosC7CFXL6geCpb2vUB\nADMpnt0gSMOOKrIjvW7dOs2fP1+SNGfOHG3atKn0tu3bt6upqUk//vGPtXXrVn3wgx/U1KlTK7Es\nwBZiiYwMjfQhAoCZlIay0NoBG6rIjnQymVQwGCy97na7VSgUJEmxWEzPP/+8LrvsMv34xz/Wn/70\nJz377LOVWBZgCyM3drAjDcB8it/ksyMNO6rIjnQgEFAqlSq9XigU5HQOZfimpiZNnjxZHR0dkqT5\n8+dr06ZNOu200w77cVtbg4d9HxwZallelazn5jd6JUmTj2u07b+jXf9e1UAty4t6Hpk6n1vx/sHD\n1ot6lhf1HHsVCdJz587VmjVrdO655+r555/XzJkzS2+bNGmS+vv71dnZqUmTJmndunW65JJLjujj\ndncnxmrJNaW1NUgty6jS9dyxu0+S5HHY82uCz8/yoZblRT2PXDjoU3es/x3rRT3Li3qWzzt9Q1KR\nIH3OOedo7dq1WrRokSRp6dKlWrVqlQYGBrRw4ULdeuut+ud//mdJ0nve8x6dddZZlVgWYAul1g7u\nkAZgUuGgT7v3p5TJ5uXzuqq9HKBsKhKkHQ6Hbr755oN+rdjKIUmnnXaaHnzwwUosBbCdaHx4PDhT\nDQGYVKR0BV5a45sbqrwaoHwYyAJYXDSRltftVIO/It8XA8BR4y5p2BVBGrC4aDyjcMjPMBYAplX8\niVksTpCGvRCkAQsbzOWVHBikPxqAqZXGhCe4Sxr2QpAGLKz4Y1LukAZgZsW7pGO0dsBmCNKAhRUP\nGjLVEICZlQ4b0toBmyFIAxbGVEMAVlDnc6vO56a1A7ZDkAYsrPhj0gg70gBMLhL0cdgQtkOQBiyM\nHmkAVhEO+dSfySmdzVV7KUDZEKQBCxuZasiONABzo08adkSQBiwsGs/I53WpzsfIXQDmFuHmDtgQ\nQRqwsFgirUjQxzAWAKYXLt4lHefAIeyDIA1YVCabVyqdK00MAwAzY0cadkSQBiyqeI0UUw0BWAHT\nDWFHBGnAokZu7GBHGoD5hTlsCBsiSAMWVewzDLMjDcAC/F636n1uWjtgKwRpwKKKgw24QxqAVURC\nPlo7YCsEacCiokw1BGAx4aBfA5m8BjIMZYE9EKQBiyodNmRHGoBFjBw4pL0D9kCQBiwqFs+o3ueW\n3+uu9lIA4IgUbxmKcZc0bIIgDVhUNJEuDTgAACsID7eisSMNuyBIAxY0kMlpIJOnPxqApUSYbgib\nIUgDFlR8EqI/GoCVlO6SZkcaNkGQBiwoVrqxgyANwDqKA6S4Sxp2QZAGLIiphgCsyOdxqcHvprUD\ntkGQBiyIqYYArCoc9LMjDdsgSAMWFI2zIw3AmiIhn9LZvPrTDGWB9RGkAQsqDmNhRxqA1URKBw5p\n74D1EaQBC4olMgrUeeTzuKq9FAA4KmEOHMJGCNKAxRiGoWg8w40dACyptCPNgUPYAEEasJj+TE6Z\nwTxtHQAsqTQmnB1p2ABBGrAYDhoCsLLiY1fxsQywMoI0YDFMNQRgZWEOG8JGCNKAxYxMNWRHGoD1\neD0uBeo8tHbAFgjSgMUUd3HYkQZgVZGgT9F4RoZhVHspwDEhSAMWU+wr5LAhAKsKB33KDObVn2Eo\nC6yNIA1YzMh4cFo7AFhT8cBhjAOHsDiCNGAx0URGoXqPPG6+fAFYU7E1jQOHsDqeiQELMQxDsUSm\nNBkMAKxo5OYOdqRhbQRpwEKSA4MazBWYagjA0oq3DnGXNKyOIA1YSGkYC/3RACwsPNzaEWNMOCyO\nIA1YCFffAbCDCK0dsAmCNGAhpavvCNIALMzjdilY7yFIw/II0oCFlHakae0AYHHhoE+xRJqhLLA0\ngjRgIaXx4OxIA7C4SNCv7GBBqTRDWWBdBGnAQqLxjBySmgIEaQDWVrpLmgOHsDCCNGAh0XhaoYBX\nbhdfugCsrXiXdIw+aVgYz8aARRSGh7HQHw3ADopjwjlwCCsjSAMWkUhllS8Y9EcDsIXSFXi0dsDC\nCNKARRR3bdiRBmAH4eEdaVo7YGUEacAiSndIMx4cgA2EA+xIw/oI0oBFMNUQgJ143E6F6j3sSMPS\nCNKARcTixTukae0AYA/hkF/RRIahLLAsgjRgESNTDdmRBmAPkaBPg7mCkgOD1V4KMCoVCdKGYeim\nm27SokWLdPnll6uzs/Mt3+/GG2/UbbfdVoklAZYTjWfkcEiNAW+1lwIAZVE8PE17B6yqIkH68ccf\nVzab1fLly3Xddddp6dKlb3qf5cuX69VXX63EcgBLiiXSagr45HLygyQA9jAy3ZAgDWuqyDPyunXr\nNH/+fEnSnDlztGnTpoPevmHDBr344otatGhRJZYDWE6hYCiWyHLQEICtFG8hKrauAVbjrsQfkkwm\nFQwGR/5Qt1uFQkFOp1Pd3d26/fbbdeedd+rRRx89qo/b2ho8/DvhiFDL8ip3PXv6BlQwDI1vCdTk\nv1Ut/p3HCrUsL+p5bI6fnJUkZfJDhw2pZ3lRz7FXkSAdCASUSqVKrxdDtCQ99thj6u3t1RVXXKHu\n7m5lMhkdf/zxuvDCCw/7cbu7E2O25lrS2hqklmU0FvXctqtPktTgc9XcvxWfn+VDLcuLeh47Zz4v\nSdq5Ny6J5/Vy4vOzfN7pG5KKBOm5c+dqzZo1Ovfcc/X8889r5syZpbdddtlluuyyyyRJv/jFL7R9\n+/YjCtFALSlONQwz1RCAjTQFfXKIw4awrooE6XPOOUdr164t9UAvXbpUq1at0sDAgBYuXFiJJQCW\nFotz9R0A+3G7nAo1eDlsCMuqSJB2OBy6+eabD/q1jo6ON73fRRddVInlAJZT3JFmGAsAuwkHfdrZ\nnWIoCyyJe7QAC4jGGQ8OwJ4iIb9y+YLiqWy1lwIcNYI0YAHRREYup0OhBoaxALCXYstad+9AlVcC\nHD2CNGAB0fjQMBanw1HtpQBAWYWHf9LWQ5CGBRGkAZPL5QvqSzKMBYA9FceE7ydIw4II0oDJ9SWz\nMsRBQwD2VNwkoLUDVkSQBkyuODqXq+8A2FFxTHhPH2PCYT0EacDkiversiMNwI6aAkNDWdiRhhUR\npAGTK+5Ih9mRBmBDbpdToYCXHmlYEkEaMLlYaUeaIA3AniJBv3r60iowlAUWQ5AGTK401TBIawcA\ne4qEfMrlC0r0D1Z7KcBRIUgDJheNp+V2ORWs91R7KQAwJoqta7EEBw5hLQRpwOSiiYwiQZ8cDGMB\nYFPFn7gVD1cDVkGQBkxsMFdQPJXloCEAWyueAYnG2ZGGtRCkAROLJTloCMD+ijvSsQQ70rAWgjRg\nYrHh3RlJJV/tAAAdm0lEQVTukAZgZ6UdaYI0LIYgDZjYyI0d7EgDsK/GgFdOx8jmAWAVBGnAxIr9\ngmF2pAHYmMvpVDjkZ0calkOQBkyMHWkAtaKlqU6xRIahLLAUgjRgYiNTDdmRBmBvLY11yhcMJVLZ\nai8FOGIEacDEoom0vG6nGvzuai8FAMZUS1OdJA4cwloI0oCJReMZhUN+hrEAsL2WpuJQFg4cwjoI\n0oBJZQfzSg4M0h8NoCawIw0rIkgDJhXjoCGAGlIM0jHGhMNCCNKASXH1HYBa0tJY3JGmtQPWQZAG\nTKp09R3jwQHUgHDIL6fDQWsHLIUgDZjUyB3S7EgDsD+X06HGgJfphrAUgjRgUsUnE3akAdSKSMin\n3mRWhQJDWWANBGnApJhqCKDWRIJ+5QuG+hjKAosgSAMmFY2n5fO6VOdjGAuA2hAe3jiI0ScNiyBI\nAyYVjWcUCfoYxgKgZkRCDGWBtRCkARNKZ3Pqz+RKTyoAUAuKrWzc3AGrIEgDJlT8sWaY/mgANSQc\nKrZ2sCMNayBIAybUM/xjzWZ2pAHUkOJ1n1GmG8IiCNKACRWfRAjSAGpJY4NXLqeD6YawDII0YEI9\nfcUdaVo7ANQOp9OhpoCXWztgGQRpwISKJ9YjjexIA6gt4ZBfvQmGssAaCNKACRV7pBnGAqDWRII+\nFQyGssAaCNKACUXjGYUavPK4XdVeCgBU1MiBQ/qkYX4EacBkCoahaCJNfzSAmlS8Ao+7pGEFBGnA\nZBKprHJ5g2EsAGpSsaUtxo40LIAgDZhMD1ffAahhpTHh7EjDAgjSgMmUbuwgSAOoQWHGhMNCCNKA\nyezvY6ohgNoVGh7KQmsHrIAgDZhMcUe6uZHDhgBqj9PhUDjoY0calkCQBkymh9YOADUuHPSpN5lR\nvlCo9lKAd0SQBkwmGs/I43YqWOep9lIAoCoiIb8MQ+pLMpQF5kaQBkymJ55WJOSXw+Go9lIAoCpK\nBw7jtHfA3AjSgIlkBvNKDgwyjAVATYuUbu7gwCHMjSANmAhX3wHAAXdJsyMNkyNIAyYSZRgLAJRa\nO2Lc3AGTI0gDJjJyYwetHQBq18h0Q1o7YG4EacBEiq0dLexIA6hhwXqP3C4HrR0wPXcl/hDDMLRk\nyRJt2bJFXq9Xt956qyZNmlR6+6pVq/STn/xEbrdbM2fO1JIlSyqxLMB0SjvSjQRpALXL6XCoKeBT\njB1pmFxFdqQff/xxZbNZLV++XNddd52WLl1aelsmk9EPfvAD3XfffXrggQeUSCS0Zs2aSiwLMJ2e\n4fHgxRPrAFCrIiG/+pJZ5fIMZYF5VSRIr1u3TvPnz5ckzZkzR5s2bSq9zev1avny5fJ6vZKkXC4n\nn48QgdoUjWcUavDK43ZVeykAUFWRoE+GGMoCc6tIkE4mkwoGg6XX3W63CsNjPx0OhyKRiCTp3nvv\n1cDAgM4888xKLAswlYJhKJpIc4c0AEgKh7hLGuZXkR7pQCCgVCpVer1QKMjpHMnwhmHo29/+tnbs\n2KHbb7/9iD9ua2vw8O+EI0Ity2s09YzF08rlDY1vDfDvcQjqUT7UsryoZ3kdWM8p4xslSTk5qPMo\nUbexV5EgPXfuXK1Zs0bnnnuunn/+ec2cOfOgt99www3y+/268847j+rjdncnyrnMmtXaGqSWZTTa\ner62Oy5JCvjc/HscgM/P8qGW5UU9y+vQenocQy937OpT98TGKq3Kuvj8LJ93+oakIkH6nHPO0dq1\na7Vo0SJJ0tKlS7Vq1SoNDAxo9uzZWrlypebNm6fLLrtMDodDl19+uT784Q9XYmmAaTDVEABGjEw3\npLUD5lWRIO1wOHTzzTcf9GsdHR2l///SSy9VYhmAqRWvvqNHGgBGphtGmW4IE2MgC2ASpSDNHdIA\nMDyUxcld0jA1gjRgEsUJXrR2AMDwrV5BH9MNYWoEacAkeuJpedxOBes81V4KAJhCOOhTPMVQFpgX\nQRowiWg8rUjIL4fDUe2lAIApREJDQ1l66ZOGSRGkARPIDOaV6B/koCEAHKB0cwdBGiZFkAZMgKvv\nAODNRm7u4MAhzIkgDZhA8TBNM0EaAEoiwaHHxBgHDmFSBGnABHpKO9K0dgBAUWlHmiANkyJIAyYQ\nLQ1jYUcaAIqKmwu0dsCsCNKACTCMBQDeLFDnkcft5LAhTIsgDZhAaRhLkNYOAChyOBwKB32KEaRh\nUgRpwAR6+tIK1XvkcbuqvRQAMJXI8FCWwRxDWWA+BGmgygoFQz3xtFqa6qq9FAAwnXDx5o4ku9Iw\nH4I0UGW9yYzyBUMt9EcDwJsUDxzG4hw4hPkQpIEq29/HQUMAeDtMN4SZEaSBKusZDtItjbR2AMCh\nindJc+AQZkSQBqpsf9+AJNHaAQBvIVIaykJrB8yHIA1U2f7SjjRBGgAOVWrtYLohTIggDVRZqUea\nqYYA8CYNfre8bietHTAlgjRQZT19aYUavPJ6uEMaAA7lcDgUDvkZEw5TIkgDVVS8Q7qVtg4AeFuR\noE+J/kEN5vLVXgpwEII0UEXFO6S5+g4A3l6EmztgUgRpoIr2c/UdABxWmAOHMCmCNFBFXH0HAIfH\njjTMiiANVBFX3wHA4RXHhHPgEGZDkAaqiPHgAHB4kSCtHTAngjRQRT3cIQ0AhxUO0doBcyJIA1W0\nv29AjdwhDQDvqN7nls/jYkw4TIcgDVRJoWAoGs/QHw0Ah+FwOBQO+hRlRxomQ5AGqoQ7pAHgyEVC\nPiUHBpUdZCgLzIMgDVRJqMGrU09o1d+9e3y1lwIAplc8cEifNMzEXe0FALXK7XLqSxe9u9rLAABL\nCAeLV+BlNC5SX+XVAEPYkQYAAKZXukuaA4cwEYI0AAAwvXDxLmlaO2AiBGkAAGB6Ee6ShgkRpAEA\ngOmNTDektQPmQZAGAACmV+dzyed1sSMNUyFIAwAA03M4HIoEfexIw1QI0gAAwBIiIb9S6ZwyDGWB\nSRCkAQCAJRTvkqa9A2ZBkAYAAJYQCXKXNMyFIA0AACwhEmJMOMyFIA0AACyBHWmYDUEaAABYQjjE\ndEOYC0EaAABYQoTDhjAZgjQAALCEOp9bdT4XrR0wDYI0AACwjHDQr2icHWmYA0EaAABYRiToU38m\np3Q2V+2lAARpAABgHZEQfdIwD4I0AACwjHCQmztgHgRpAABgGS2NQ0E6NTBY5ZUAkrvaCwAAADhS\np57Qpv50Tid1NFd7KQBBGgAAWIfP69I5751U7WUAkirU2mEYhm666SYtWrRIl19+uTo7Ow96++rV\nq3XJJZdo0aJFevDBByuxJAAAAOCYVCRIP/7448pms1q+fLmuu+46LV26tPS2XC6nZcuW6Z577tG9\n996rn/3sZ4pGo5VYFgAAADBqFQnS69at0/z58yVJc+bM0aZNm0pv27Ztm6ZMmaJAICCPx6N58+bp\nueeeq8SyAAAAgFGrSI90MplUMBgc+UPdbhUKBTmdzje9raGhQYlE4og+bmtr8PDvhCNCLcuLepYX\n9Swfalle1LO8qGd5Uc+xV5Ed6UAgoFQqVXq9GKKLb0smk6W3pVIphUKhSiwLAAAAGLWKBOm5c+fq\nySeflCQ9//zzmjlzZult06Z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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cosd(aoi).plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Surface tilt and azimuth" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate panel tilt ``surface_tilt`` and azimuth ``surface_azimuth``\n", "in a coordinate system where the panel tilt is the \n", "angle from horizontal, and the panel azimuth is\n", "the compass angle (clockwise from north) to the projection \n", "of the panel's normal to the earth's surface. \n", "These outputs are provided for convenience and comparison \n", "with other PV software which use these angle conventions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Project normal vector to earth surface. First rotate about x-axis by angle -axis_tilt so that y-axis is also parallel to earth surface, then project." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cos(axis_azimuth_south)=0.984807753012208, sin(axis_azimuth_south)=-0.17364817766693033\n", "cos(axis_tilt)=0.984807753012208, sin(axis_tilt)=0.17364817766693033\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Zf63CkZVFUJ9+Mq5dVDtSSAtRxflf34mTP/5AzprVhPTrjz5QeqXLky0zk9QF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\ntREREZ0LgzTRGGIxhaCm2Q57jxsGrVrqcrD7cD3WfVoGQQB+eOsEzJw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vx6mcMmOH8EmSSAvhZe46aQ/3+Ine61DJEQBGRCR3uK1h4UPQarQcKDnc4baa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\nxbqD9JAEiSshIoo+DNJEYcSki4XN6YU/EJS6FIoAgiDgaG0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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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Xb1SRlhCiIi0iIkPeb9qGgcHs1BKzo4gcQTPSEopUpEVEBICOvi72tR8gPz6P\nhPB4s+OIHMERmYKBoRlpCSkq0iIiAsB2Zzl+/JqNlpAUZrWTGJGgGWkJKSrSIiICQJlzJwAzUopM\nTiJybGlRDjo8Xbi9brOjiAAq0iIiAri9bipa95IVk0FyZJLZcUSOKTUqBYCmHqfJSUQGqUiLiAg7\nW/fg9Q8wI6XY7Cgix6WdOyTUqEiLiAhlzeUAzHBoWYeELu3cIaFGRVpEZJwb8A2wo2U3ieEJ5MRk\nmR1H5LhSIzUjLaFFRVpEZJzb215Fr7eXGY4iDMMwO47IcSVGxGO32DUjLSFDRVpEZJz7cLcOrY+W\n0GYxLKRGpdDY68Tv95sdRwSb2QFEZOR1dHuoaXIdeaFxzA+P+JiPzFaG2SwkxUUQHxOGRbOYo5bf\n76esuZxIWwSFCflmxxE5odTIFGpd9XR4OnXiIDGdirTIONPc3sv9v91ET583IMezWQ2S4iJIiY8g\n+fDfKfGRJMcPfpwQE47FoqIdqmpcdbT1tTMvbRZWi9XsOCIn9MEbDhu7m1WkxXQq0iLjiHfAx6PP\nl9PT5+Ws2VkkxoQNXXfUL0n9n/hP+jwDODvdtHS4aenoZeeBtmM+ptVikBgbPli04yNwxEeSmhhJ\nWlIUaYmRREXYT/nzkuH7YLeOmY7pJicROTnZsYNviO319pqcRERFWmRcee6t/eyr62RRURorz58c\n0DeW9fUP0NrpxtkxWK6dHW5aOt04O3pp6XCzu7r9mPeLibSTlhhJamIUaUmRpB3+OyMpmvAwzZAG\n2zZnOTbDSlHSZLOjiJyUmY5ivj7nK+TH55odRURFWmS8eG9XIy9tOIgjIYKVn50S8N0Zwu1WMpKj\nyUiOPub1/V4frV1umtt6aWzrpbGth6bDHx9o6GJfXedR90mJjyAvM56UuHCyUqLJTIkmIzmKiDC9\ndAVCS28rta56ipKmEGGLMDuOyEmxGBYKEiaaHUMEUJEWGRc2727i0ed3EhFu5dZLS4gMH/n/+nab\nZXC2OTGKjy8iGPD5aOlw09jWS1NbLw0tPdS1dFPn7GbzrsajjpUSH0FmSjQ5qTFMSIslNy0GR0Kk\ntm77lIZ263Botw4RkeFQkRYZ47ZUNPPI8+WE2S2svnwWuemxZkc6itViITUxitTEqKOuC48KZ3tF\nI3XObmqdg+W6ztlN2b4Wyva1DN0uMtzKhNRYJqTFMiEthvzMONKTolSuP8EH66NLUqaZnEREZHRS\nkRYZw0rp27a+AAAgAElEQVT3NvOr53Zgs1r4+uUzmZQ1+t7hHhcdxuScBCbnJBxxuau3n+rGLqob\nXRxs7KK6sYs9h9qpOPThWuzoCBuTsuKZlBVPQWYcEzPjtCzksO7+Hio79pMbl6OdD0REhknfUUTG\nqK2VTn7xzIclujA74cR3GkViIu0U5SVRlJc0dJnb46WmqZsDDZ1U1XVSWdtxxMy1YUCOI4YpExIp\nyktkck6CKctcQkF5y258fp9OwiIicgrG53cQkTGubJ+TXzyzHavV4GvLZxw1mztWRYTZKMiOpyD7\nwxnWDlcflbWd7KvrYF9tBwcauqhucvHK5kNYLQYTM+Moyk2kKC+J/Mw4bNbxccLXD89mWGRyEhGR\n0UtFWmSM2VHVws+f3oHFMLjjizOZMiHR7Eimio8JZ+4UB3OnDJ7Eod/rY19tBzsPtrLzQBv7ajuo\nrOng+bcPEB5mpTgvidmFKcwsSCEmcmzucd3v87KzZTcpEUlkRKeZHUdEZNRSkRYZQ/Ycaud/nt6O\nYcC/f3EG03LHd4k+FrvNwtTcRKbmJvKFpdDj7qeiup2dB9rYcaCV9/c08/6eZgwDJmcnMHuyg/lT\nU0mMDTc7esDsadtH34CHJZnFejOmiMgpUJEWGSNqnd387K9l+Hx+vvrFGRR/ZO2wHF9UhJ3Zkx3M\nnjw4Y13f0k3pXiele5uH3rz4xKt7mZqbyKKiNOZOSSUqYnS/dG7Xsg4RkYAY3d8NRASAtq4+/uvJ\nrfT0ebnxommU5CebHWnU+uCkMp9blEuHq48te5p5d2cjuw62setgG2v/uYc5k1P4zOwsJuckjLoZ\nXb/fz3bnTqJtUeTH55kdR0RkVFORFhnl+r0+Hn5mOy2dfVx2Zj6nTc8wO9KYER8Tztlzsjl7TjbN\n7b1s3NnIhvIG3tvVxHu7mshMieasWZmcNj1j1MxSV3fV0N7XwYL0OVgtOgW7iMipGB2v/CJyXH9+\nbS9VdZ0sLk7jc4tyzY4zZjkSIrnotDwuXJzL3poO3iitZdPuJv5v3V7++q99LJ2ZyQULc0N+LfWH\nyzq07Z2IyKlSkRYZxd7ZUc/r79eS7YjmmmVTR90yg9HIMIyhE8RceU4hb5bV8XppLes21/BGaS2n\nz8jkcwsnkJIQaXbUYypz7sRmWJmWVGh2FBGRUU9FWmSUam7vZe0/9hAZbuW2z5cQbtev6UdaXHQY\nFy7O47MLJrBhRwMvbjjIG6W1vLmtjsXF6Xx+aX5IzVA3uZzUuuopSp5ChC3C7DgiIqOeirTIKOTz\n+/ntS7vo6x/gpouKSEuKMjvSuGazWjhjZianlaTz3q4mXnjnAG9tr2fT7iYuXJzLZxfkYLeZ/4PO\n5royQMs6REQCRUVaZBT619Y6dle3M6sghUXFOqFGqLBaLCwuTmfhtDTe2l7PU//ax9Prq1i/rY4r\nzi5kzuQUU5ffbK4dLNIlKdNMyyAiMpaMj3PhiowhrZ1unny9kqhwGys/O0XrokOQxWKwdGYmP7x5\nMefPz6Gtq4+Hn9nOmr9so7XTbUqmnv4edjbvJTc2h4Tw+BPfQURETkhFWmSUeWZ9FX2eAS4/uyCk\n1t/K0aIibFx5TiHfv2EBxXmJ7Khq5d5fb+TNsjr8fv+IZtnRshuf38cMh07CIiISKCrSIqNIdWMX\n7+xoINsRw+kl2i96tMhIjmb1FbO47oKp+P3w25d286vnyulxe0csQ2nTdgBmOqaP2GOKiIx1QS/S\n27ZtY+XKlQDs2rWLpUuXcs0113DNNdfw8ssvA/Dkk09y2WWXceWVV/LGG28EO5LIqOT3+3ny9Ur8\nwOVnT8Ji0ZKO0cQwBpd7/OCGhRRkx7NpdxP3/+49qhu7gv7Ybq+bna0VZMdlkBGtNfUiIoES1Dcb\nPvbYYzz33HNER0cDsGPHDq6//nquu+66ods4nU7Wrl3LM888g9vt5qqrrmLJkiXY7fZgRhMZdcr3\nt7LzQBvFE5OYPlGnAB+tkuMj+PaK2Tz75n5e3HCQBx/fwo0XFjFvamrQHnOHcxden5dFOXOC9hgi\nIuNRUGekc3Nzefjhh4f+XV5ezhtvvMHVV1/NPffcQ3d3N2VlZcydOxebzUZMTAx5eXlUVFQEM5bI\nqPTCOwcAWH7WJHODyCmzWixcduYkbv9CCQYGv3h2B39750DQ1k2/3zy4rGOxirSISEAFtUifd955\nWK0f7p06c+ZMvvWtb/H444+Tk5PDz3/+c1wuF7GxsUO3iYqKoqsr+L/qFDGbz+/juX0vU91Vc8Lb\n7q/vZE9NB9Pzk5iQFnvC28voMGeyg++snEtyXATPrK/iT+v24gtwmXZ7+9jZspv0qFRy4jMDemwR\nkfFuRPeRPvfcc4dK87nnnssDDzzAggULcLlcQ7fp7u4mLi7upI7ncKhQBIrGMrBOZjzbezv458HX\n6fJ18vX8Gz/xtr/7++Bvaa44b8q4/FqN5c/Z4Yjlp9kJfPfRDazbUoPXD1+7cjZWa2DmOd6prqDf\n5+X0ifOGHk8CR+MZWBrPwNJ4Bt+IFukbbriBe++9l5KSEjZs2EBxcTElJSWsWbMGj8dDX18fVVVV\nFBYWntTxmps1cx0IDkesxjKATnY8/X6DKFsk+5wHP/H2LR1u3tpWR7YjhsyEiHH3tRovz89vXjGL\n//7LNt54v4a+Pi83XDQNSwD2CH+jciMAU6KnAnrdDKTx8twcKRrPwNJ4Bs4n/UAyokX6e9/7Hj/4\nwQ+w2+04HA6+//3vEx0dzcqVK1mxYgV+v5/Vq1cTFhY2krFETGEYBtmxWexpq6TX6ybSFnHM2726\npQaf389nF+To5CtjWEykndVXzOKnT2xlQ3kDdpuFa5ed2gl3evp72OHcRUZ0mnbrEBEJgqAX6ays\nLP785z8DUFRUxJ/+9KejbrN8+XKWL18e7CgiIScnJpM9bZXUuuopSJh41PXeAR9vltURFx3Ggmkq\nQmNdZLiN1ZfP5Md/KmX9tjpio+xcdubw31xa2rQdr3+ABelz9EOYiEgQ6IQsIibKjh1889ehrtpj\nXr99Xwvdbi+LitKw2/TfdTyIirDzjStmkZYYyYsbDvJmWd2wj7Wx4X0MDOanzQ5gQhER+YC+M4uY\naEJsFnD8Ir1hZyMAi4vTRyyTmC82KoyvLZ9JdISNP/y9gl0HWj/1MVp6W9nXsZ/ChHwSIxKCkFJE\nRFSkRUyUGuUgzGKnxnX0rGOP28vWvU4ykqOYkBZjQjoxU1pSFLd/oQSAXz5XTmun+1Pdf1NjKQDz\n07V3tIhIsKhIi5jIYljIismkvruR/oH+I67bsqcJ74CPRUVpWt86Tk2ZkMhV5xbi6u3nV8+X4x3w\nndT9/H4/7zWUYrfYmJ06PcgpRUTGLxVpEZPlxGbi8/uo62444vJ3yweXdSzUso5x7TOzs1gwLZXK\nmg6eXl91UvfZ33mQxp4mZqQUE2mLDHJCEZHxS0VaxGTHesNhu6uP3QfbmJQVR2qCitB4ZhgG1y6b\nSlpiJH/fWM2ug20nvM9btYN7Ry/JXBjseCIi45qKtIjJcj54w+FH1klv39eCH5g/JdWkVBJKIsNt\n3HxxMYYBv31pF26P97i37env4f2mbTgikylMzB/BlCIi44+KtIjJMqLTsRgWaro+UqT3D+7SUDIp\n2axYEmImZsRxwcJcnB1unnrj+Es8Nja8T7/Py5LMhVgMvcSLiASTXmVFTGa32MiKTqfGVYfX52XA\n52Pn/laS4yJIT4oyO56EkEtOzyMjOYpX36+hovroJR5+v5+3at/FZlhZlDHPhIQiIuOLirRICJgY\nn4vX5+VQVx3767ro6fNSkp+k3TrkCHables/Nw2AP76ylwHfkbt47Os4QENPEzMd04kN05aJIiLB\npiItEgLy4/MAqOo4wPaqFgCm52tZhxxtUlY8p5dkUNPsYv3WI/cff+3QmwCckbXYjGgiIuOOirRI\nCMiPzwWgquMgO/a3YLUYTMtNNDmVhKrLzswnIszK0+urcPUO7j/e1NNMWXM5ubE5FCRMNDmhiMj4\noCItEgKSIhKJD4tlX/t+DtR3UpgdT2S4zexYEqLiY8K5eMlEut1enntrPwCvH3oLP37OmXCGlgSJ\niIwQFWmREGAYBhPj8+jqd0FYr5Z1yAmdOy+b1IRI3iit5WCLkw31m0mKSGSWo8TsaCIi44aKtEiI\n+GB5hyW2neK8JJPTSKizWS1ccvpEBnx+Ht/8Cv2+fs7OOQOrxWp2NBGRcUNFWiREfPCGQ3tcB9mp\n0eaGkVFhYVEa6Q47tcYOIqwRLNaWdyIiI0pFWiREJNoc+H0WwhM6sFr0X1NOzGIxyCtxYtj6Sewt\nIsIWYXYkEZFxRd+tRUJEdUM3vu54PPYO3F632XFkFOju76Gi932MgXD2lyXR2NZjdiQRkXFFRVok\nRFTWduDrSgD8VHUcNDuOjALrqv+Fe6CPuQmL8PtsvLLpkNmRRETGFRVpkRBRWdOBv3Nwt45drXtM\nTiOhrr2vgzdq3iY+LJYrZ51Lclw4b5XVD+0rLSIiwaciLRICvAM+quo7SQvPJsxiZ2dLhdmRJMQ9\nW/kyngEPF+afT6Q9nPPm5eDx+ni9tNbsaCIi44aKtEgIqGl24en3UZiVxOTEAhp6mmjpbTM7loSo\nqo4DbGp8n5zYLBZnzAfgjJmZRIbbeHVLDf3eAZMTioiMDyrSIiGgsqYDgIKseIqSpwCws1Wz0nI0\nn9/HX/Y8B8DywkuwGIMv45HhNs6alUlnt4eNO5vMjCgiMm6oSIuEgMrajxTppMEivUvLO+QY3qp9\nl+quWuanzWZSQt4R131mThYG8MZWLe8QERkJKtIiIaCqrpOYSDupiZE4opJxRCZT0VaJ1+c1O5qE\nkJbeVp7Z9xKRtkg+X3DhUdenxEdSMimZqrpOqhu7TEgoIjK+qEiLmMzV24+zw01ueiyGYQBQlDwF\n90Af+7UNnhzm9/t5fPdf8Qx4WF54MfHhcce83ZmzMgH419a6kYwnIjIuqUiLmOzQ4ZnD3LTYocs+\nWN6xo2W3KZkk9LxV9y572iqZnjyNBelzjnu7GZOSSYwNZ0N5A30evelQRCSYVKRFTHaw0QXAhLSY\nocsmJxYQYQ1nS+M2fH6fWdEkRNS66nlq79+IskVy1dQvDP3m4lisFgtnzMjA7Rlg467GEUwpIjL+\nqEiLmOyDtay56R/OSIdZ7cxylNDW186+9gMmJZNQ4Pa6eWzHWvp9Xq4puoKE8PgT3mfpzEwMA97c\npuUdIiLBpCItYrKDjV1EhFlxJEQecfn89NkAbGosNSOWhAC/38//7X6Kph4n50xYSklK0UndLyku\ngqLcRPbVddLY1hPklCIi45eKtIiJ+jwDNLT0MCE1BsvHfl0/OXES8WGxlDaVafeOcervB15lS9M2\n8uNzuST/gk9130XF6QC8W67lHSIiwaIiLWKiQ80u/MCEjyzr+IDFsDA3bRY93l7Ktaf0uLO5oZQX\n9v+TpIhEbiq5BqvF+qnuP3eKgzC7hQ07GvD7/UFKKSIyvqlIi5io+hg7dnyUlneMT3va9rF291+I\nsEbwlRlfJi7s2M+PTxIRZmNOoYOm9l6q6jqDkFJERFSkRUx0sOGTi3ROTBbp0WmUNZfT0acyNB5U\ndRzkl2W/xe/3c2PJ1WTGpA/7WIunD973nfKGQMUTEZGPUJEWMVF1owub1UJ6ctQxrzcMg7OylzDg\nH2B9zTsjnE5G2sHOQzy89dd4fV6un/4lpiVNPqXjFeUlEhcdxqZdTXgHtI2iiEigqUiLmMQ74KPW\n6SLbEY3Nevz/igvT5xBtj+LN2nfxDHhGMKGMpD1t+/hZ6aP0DfRxbdGVzHJMP+VjWi0W5k9NxdXb\nz+6DbQFIKSIiH6UiLWKSHrcX74CfSVmfvC9wmDWMpVmL6fb28G79lhFKJyNpW3M5D2/7Nf2HZ6Ln\npc0K2LHnT00FYNPupoAdU0REBqlIi5gkLjqMe6+dxxeW5p/wtmdknYbNsPL6oTd1psMxxO/3s676\nX/zv9j9gweArM77MnNQZAX2Mgux44mPCeH9Ps5Z3iIgEmIq0iIkmZsQRGW474e3iw2OZnz6Hpl4n\n7zduG4FkEmz9A/2s3fUkz1S+SFxYDF+bs4ppyae2JvpYLIbBvMmpdLu9lFU6A358EZHxTEVaZJRY\nlncONsPK81V/p18naBnVGrub+MmWn7OxYQu5sTl8a/5XyY3LCdrjzZvqAOBtnTJcRCSgVKRFRomU\nyCSWZp9Gi7uNf9W8bXYcGQa/38+G+s385+afUeuqZ0nmQr42ZxUJ4Z+8Tv5UFWYnEB8dxobt9Qz4\ntLxDRCRQVKRFRpFleecQaYvk7wdeo7u/x+w48im093Xwq7Lf8viuJ7Fg8OXiFayYehlhVnvQH9ti\nMZgzxUFXj4fd1e1BfzwRkfFCRVpkFIm2R7Es72x6vb28UPUPs+PISfD6vKyr/hc/ePf/Y0fLbqYm\nFnL3wtUB3ZnjZMybPLi8o3RP84g+rojIWBb0Ir1t2zZWrlwJQHV1NStWrODqq6/m/vvvH7rNk08+\nyWWXXcaVV17JG2+8EexIIqPamdlLSI9OY33tBva07TM7jnyCHc5d/MfGh3im8kWshpWrpnyB22fd\nSFJE4ohnKcxJIDrSztZKJ36/f8QfX0RkLApqkX7ssce455576O/vB+CHP/whq1ev5vHHH8fn87Fu\n3TqcTidr167liSee4LHHHuOnP/3p0O1F5Gh2i42V05ZjYPD4rr/Qp5O0hJw6VwMPb/s1vyz7LU53\nK2dmn8Z9i7/F6VmLMAzDlEw2q4X509Jo7eyjutFlSgYRkbEmqEU6NzeXhx9+eOjf5eXlzJs3D4Cl\nS5fyzjvvUFZWxty5c7HZbMTExJCXl0dFRUUwY4mMenlxEzh3wpm0uFt5tvIls+PIYdWdNTy6/Q/8\nx3sPsbOlgimJBdw1/2tcPvlSou3HPg38SFo4PR2A0r1a3iEiEggn3sD2FJx33nnU1tYO/fujv06M\njo7G5XLR3d1NbGzs0OVRUVF0dXUFM5bImHDhxPPY3rKL9bXvUJiYH/ATecjJq+o4yN8PvEp5y24A\ncuNy+FzeuRQnTzVtBvpY5kxJxWox2LrXyaVnnPhEQCIi8smCWqQ/zmL5cAK8u7ubuLg4YmJicLlc\nR11+MhyO2BPfSE6KxjKwRmo8v7X0Fu565Uf8cfdfKM7JJzsuY0Qed6SF4vOzz+vh7erNvFK5nn1t\nBwGY5ijksqILKEkLrQL9UTMLHbxf0YTfaiU1yfxZ8tEuFJ+bo5nGM7A0nsE3okW6qKiITZs2MX/+\nfNavX8+iRYsoKSlhzZo1eDwe+vr6qKqqorCw8KSO19ysmetAcDhiNZYBNJLjGU4MX5ryRX5T/kd+\n/K9f8c15txFpixyRxx4pofb8bOhu4u26jWyo30yvtxcDg5KUIs7JWUph4uAsr9MZmmuQHY5YinMT\neL+iidfeO8g5c7PNjjSqhdpzc7TTeAaWxjNwPukHkhEt0t/+9re599576e/vZ9KkSSxbtgzDMFi5\nciUrVqzA7/ezevVqwsLCRjKWyKg2N20mBzqree3Qm/zv9rXcOvN6bJYR/a895rX3dbClcRubGks5\n1DW4XC02LIZluWezJGuhKbtwDNfMghTW/nMPpXubVaRFRE6R4R/F+yDpJ63A0E+tgWXGePr8Pv53\n+1rKnOXMT5vNNUVXYDHGxjbxZj0/2/s62O7cSWnTdva07cOPH4thYVrSZBamz2GmY/qo+4Hlg7G8\n/3ebqGly8d9fPZ2oiOCfEGas0mtnYGk8A0vjGTghMyMtIsFhMSx8ufgqflb6KJsaS4mxR3NZ4b+F\n7DrdUOT3+6nvbqTMuZMyZzkHOw8NXZcfn8u8tNnMSZ1BbFiMiSkDY3ZhCgcbuthe1crCojSz44iI\njFoq0iJjRJg1jFUzvsya0l/xes1bWAwLny+4UGX6E7S526loqxz807qXDs/g7I3FsDA5sYAZKUXM\nSCkiOTLJ5KSBNbvQwbNv7qd0b7OKtIjIKVCRFhlDYsKiuWP2zfzX+4/w6qH1WAwLl0y6QGX6sC6P\ni30dB9jTVsnu1koae5qGrou1xzA3dSbTU6ZRnDw1JPZ9DpZsRzTJcRFsr2rBO+DDZh0by4BEREaa\nirTIGBMXFjtYpkt/xSvVb2AxLPxb/mfHXZke8A1Q193I/o4DVHVUs7/jAE5369D1YdYwipOnMjWx\ngClJhWRGp4+bMTIMg9mFKazbUkPFoXaK88bWjLuIyEhRkRYZg+LD47hj9i389/uP8I+Dr2ExLFyU\nf77ZsYLG5/fR1NNMdVctNV11VHfVcLCrBs9HTp8eZYukKHkK+XG5FCZOIi8uZ9S9WTCQPijSW/c4\nVaRFRIZp/H4XERnjEsLjuWPOLax5/1e8fGAdFsPgcxPPMzvWKev19lLf3UR9dwM1XXUc6qqj1lWH\nx9d/xO3So9PIj8tlYnwu+fG5pEaljJmdTAKhMCeBqHAbpZXNrDivcNzMxouIBJKKtMgYlhAez9dm\nD5bpF/e/gsWwsCzvHLNjnZSe/l4aehrZ1tnB3saD1Lsaaehpor2v44jbWQwLGdFp5MRkkR2bSU5s\nFtkxGUTYIkxKPjrYrBZmTErm3Z2NVDe6yE3XGdBERD4tFWmRMS4xImFwmUfpr/hb1T+ItkdxRtZi\ns2MB4Bnox9nbQlOvk+YeJ009Tpp7B//u8HQedfuE8HimJU0mIzqNjOg0smIyyIxOx27VXsjDMXuy\ng3d3NlK6t1lFWkRkGFSkRcaB5MhE7ph9Cz/e/D/8de/fmBiXS3ZsZtAf1+f30eVx0epuo8XdRqu7\nDWdv62Bp7nUeNbv8gcTwhKHCPDk9jxhfHOnRaURqljmgpk9MwmY1KN3r5NIz8s2OIyIy6qhIi4wT\nyZFJrJx2Ob8s+y2/Kf8/vj3/q4Rbw07pmD6/j46+Tlrd7bS4W2l1t9PqbqWlt43WvjZa3e14fd5j\n3jcxPIHJCZNwRKWQGpWCIzIZR2QKKZHJhH1khlln5wqeyHAb03KT2F7VgrO9l5SESLMjiZyQq7ef\nF945wAWLcomPPrXXMJFTpSItMo5MT5nGZ7JP5/Wat/iPjQ8R9ZEZXv/Hbus/6pIj9Xn7aOvrYMA/\ncMzrY+zRZEankxyRSFJEIkmRiSRHJJIckXRUWRbzzC5MYXtVC6V7nZw3P8fsOCIntGlXI//cdIj8\nzDgWTNMJhcRcKtIi48wlBZ+juddJZft+uvu7P3btkTs3HL2Rw4cX2C02cmKzPizKEYkkR3748anO\ndsvImFmQAv+ooHRvs4q0jAr1rT0ApMTrNyhiPhVpkXHGbrHxlZnXmx1DQkRibDj5mXHsOdSBq7ef\nmEj9pkBCW8PhIp2eNHbPPiqjhzZVFREZ52YXpuDz+ynb5zQ7isgJNbT0EBcdRlSE5gLFfCrSIiLj\n3OxCBwCle1WkJbT1e320dLg1Gy0hQ0VaRGScy0iOIi0xkh1VrfR7j/3mUZFQ0NTWgx9IT9L6aAkN\nKtIiIuOcYRjMnuygr3+AnQfazI4jclwfro+ONjmJyCAVaRERYXZhCqDlHRLa9EZDCTUq0iIiwqTM\neGKj7GytdOLzf/Ie4iJm+aBIp2lph4QIFWkREcFiMZhVkEJnt4equk6z44gcU0NrD1aLgUNn4ZQQ\noSItIiLAR3bv2NNschKRY2tsHTyVvc2q+iKhQc9EEREBoCgvkXC7lc0VTfi1vENCjKu3H1dvP+mJ\nmo2W0KEiLSIiAITZrcwqTKG53c2Bhi6z44gcoaHl8BsNk/VGQwkdKtIiIjJkwdRUADbtbjI5iciR\ntGOHhCIVaRERGTI9P4nIcCubdml5h4QWFWkJRSrSIiIyxG6zMqvAQUunm6p67d4hoUNFWkKRirSI\niBxh/rTDyzt2aXmHhI6aZhfRETbiosPMjiIyREVaRESOMH1iElHhNjbtbtLJWSQk9HkGaG7rJdsR\ng2EYZscRGaIiLSIiR7BZLcyd4qCtq4+Kg21mxxGhrqUbP5DtiDE7isgRVKRFROQop01PB+DtHQ0m\nJxEZXNYBkJUabXISkSOpSIuIyFEKcxJIiY9gS0Uzbo/X7DgyztU2dwOQnaIZaQktKtIiInIUi2Fw\n2vR0+voH2FKhU4aLuYZmpB2akZbQoiItIiLHdFpJBgBvb683OYmMdzXN3STHRRAZbjM7isgRVKRF\nROSYUhMiKcyOZ3d1O86OXrPjyDjV2eOhs9tDtmajJQSpSIuIyHEtOTwr/eY2zUqLOYbWR6dqfbSE\nHhVpERE5roXT0ogMt7F+Wx3eAZ/ZcWQcGlofnaIZaQk9KtIiInJc4WFWlpSk09HtoXSv0+w4Mg7V\nHi7S2kNaQpGKtIiIfKLPzM4C4PX3a0xOIuNRTXM3VotBenKU2VFEjqIiLSIinygjOZppuYnsrm6n\n1tltdhwZR3x+P7XObtKTo7BZVVkk9OhZKSIiJ/TBrPRrmpWWEVTf0kOfZ4AJqbFmRxE5JhVpERE5\noVmFKSTHhfN2WT2dPR6z48g4sa+2A4CCrDiTk4gcm4q0/P/t3Xl8VPW9//HXTCb7JDPZAySBkIUl\nbAKyGtFiEZW9VXtFreJFRPqg/qrt1Z8LtKXCvVdsbcV6Lz+5XllEL4kWBREFJKAsSgIBwmaAkJCQ\nfQ9ZZ35/ILnWKktyksnA+/l4+ABJMrzn/Thz5sOZc75HROSyLB5mbh8RQ2Ozg637dFRaOsfJ/AuD\ndFwPm4uTiHw/l9wiaMaMGVitF66+jYqK4rHHHuPpp5/GbDaTkJDAggULXBFLREQuIXlQd9Z/fpot\n+/KYODIGHy/dZU46VnZ+FV6eZt0aXLqsTj8i3dh44SPBt956i7feeosXX3yRxYsX86tf/YpVq1bh\ncDj49NNPOzuWiIhchreXB+OHRVFb30yabtAiHayuvpn84lpiIwPxMOsDdOmaOn3LPHr0KHV1dTzy\nyOugIkoAAB7TSURBVCM89NBDHDhwgKysLIYPHw7AzTffzK5duzo7loiIXIHxw6Lw8jTz8d4zNDW3\nuDqOXMNOnavCiU7rkK6t0z+X8/Hx4ZFHHuHuu+/m9OnTzJ49G6fT2fp1f39/qqurOzuWiIhcAauv\nJz+6IYpNe8+wLSOfCTdGuzqSXKMuXmgY110XGkrX1emDdK9evejZs2fr7+12O1lZWa1fr62tJTDw\nyl40YWFaDsco6tJY6tNY6tM4RnT5wKQk0jLz2bg7h+k/SsDPx9OAZO5J26axvt1nXkkdADcO6k5Q\ngI+rIrk1bZ8dr9MH6ZSUFI4fP86CBQsoLCykpqaGsWPHsnfvXkaMGEFaWhqjRo26oscqLtaRayOE\nhQWoSwOpT2OpT+MY2eXtN0bz3o5TrN6YxbTk3oY8prvRtmmsb/fpdDo5cqqUUJsPzfVNFNc3uTid\n+9H2aZxL/YOk0wfpn/70pzzzzDPcd999mM1mlixZgt1u57nnnqOpqYm4uDgmTpzY2bFEROQq/PjG\naLbsy+PjL3P50dAoAv29XB1JriGF5eeprW9mQO8QV0cRuaROH6Q9PT156aWX/uHPV65c2dlRRESk\njXy8LEweG8vqT46Tsj2bh+/s5+pIcg05nlsB6Pxo6fq0noyIiLTJLTd0JyrMnx2ZBa0XhokY4eDJ\nUgCSYoNdnETk0jRIi4hIm3iYzdw/oQ8AKzcfw+FwXuYnRC6vucVB1ukyQm0+RAb7uTqOyCVpkBYR\nkTZLjLYzZkAkZwpr2JquW4dL+2WfreR8QwsD40IwmUyujiNySRqkRUSkXe6+NR5/HwvrtmdTWF7n\n6jji5g6eLANgoC40FDegQVpERNrF5u/F/RP60Njk4I0Pj+gUD2mXgydLsXiY6BcT5OooIpelQVpE\nRNptZP8IRvQL5+uzlXy0J8fVccRNlVc3kFtUQ59oO95eHq6OI3JZGqRFRMQQ90/og83qxfs7TvF1\nnlbxkKt36JvVOnRah7gLDdIiImIIq68ncyYn4XTCa+8fpLKmwdWRxM3s/7oEgIFxGqTFPWiQFhER\nw/TtGcRPbulNRU0jr//tMM0tDldHEjdRWdNAZnYpUWH+WvZO3IYGaRERMdTEETEMSwzjWG4FqzYf\nw+nUxYdyeTv3n6XF4WTMgG5a9k7chgZpERExlMlk4pFJ/egZEUDagQI+/OK0qyOJG9jyVS4mE4xK\ninB1FJErpkFaREQM5+Nl4Ym7BxES6MN7O06RdiDf1ZGkC8svqeVEbgUDYkOwW71dHUfkimmQFhGR\nDmGzevN/7hmMv4+F//7oKJ8fLHB1JOmidh0+B8CYAZEuTiJydTRIi4hIh+ke6s+v/+kG/HwsrNhw\nRMO0/IMWh4MvDp3Dz8fCDQmhro4jclU0SIuISIeKiQjgqZ9dGKbf2HCEzXvPuDqSdCFfHimivLqB\nW4ZG4eWpm7CIe9EgLSIiHa5nZAC/uW8oNqsXa7d+zbtbv8ah1Tyue06nk427czCbTEy/Jd7VcUSu\nmgZpERHpFNHhVp59YBiRwX5s2nuGV1MOcr6h2dWxxIUOniwlr7iWEf3CiQzxd3UckaumQVpERDpN\nqM2X//vAMPr1DGL/1yUseusr8ktqXR1LXGTj7gun+UwcGePiJCJto0FaREQ6ldXXk1/dO5jbR0RT\nUFrH7/77S9IO5OvGLdeZ47kVHM+tYGDvEGIiAlwdR6RNNEiLiEin8zCbufdHCTw+bQAWs5k3PzrK\na+8dorK20dXRpBM4nE7e3nICgMlje7k2jEg7WFwdQERErl/D+4YT2y2Q5R8cZt/xYo6eKeefbktg\ndFKkbhN9Dfs8s4Ccc9WMSoogvofN1XFE2kxHpEVExKVCbD78ZuZQ7rstgaYWB//vwyMsXp3OqYIq\nV0eTDnC+oZmU7dl4eZr56bg4V8cRaRcN0iIi4nJmk4nbhkfz+0dGMjQxjK/zKvn9f3/F8g+yKKuq\nd3U8MdD7O05RVdfEXaN6Ehzo4+o4Iu2iUztERKTLCLP78osZAzmaU87aLSfYdfgc+44VMWFEND8e\nHk2An5erI0o7HMkp59OvcokI8uX2EVqpQ9yfjkiLiEiX07dnEC88dCMP39EXX28LH36Rw6//+gVr\nt5ygvLrB1fGkDerqm3hjQxYmk4nZk5N0F0O5JuiItIiIdElms4nkwd0Z0S+CtAP5bNp7hs1f5rJl\nXx5jB0by4+HR9AizujqmXAGn08mqzccpq2pg2k2x9O4e6OpIIobQIC0iIl2at5cHP74xmluH9mDX\noXNs3J1D2oEC0g4UkBhlY9wNPRjeJwxPi45wdlWffpXH7qxC4roHcteYnq6OI2IYDdIiIuIWLB5m\nkgd3Z+zAbmScKOGz/Wc5fKqM43mVvP2pJ2MGRDI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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 - surface_azimuth + 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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d/s29pUdaCCGEX61fs48fVu3BZDYw/sreRHcyB7ok0Q6cPSaTrRsK+HH1PlIy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\ngkWNtEg79dya/xxroiP57bDbj20NJ60lxuFgxjljmcFYat1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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 - surface_azimuth + 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``." ] }, { "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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ySr/oOKQDB053wheMYvPqUjjtVtFxNC87XkiPcUeazCPlhfTrr7+O3Nxc3Hff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\naRsLaSINudo+gkhUwRL2R9NtSJKEL22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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "surface_tilt = (90 - np.degrees(np.arccos(\n", " pd.DataFrame(panel_norm_earth * projected_normal, index=times).sum(axis=1))))\n", "\n", "surface_tilt.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "According to the MATLAB code, surface_tilt is \"The angle between the panel surface and the earth surface, accounting for panel rotation.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ``tracking.singleaxis`` examples " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With backtracking" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [], "source": [ "tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=0, axis_azimuth=180, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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xsXHMnj2TJUsWYbXaKC0t6weysjLLj7/pprISjIMH9/Paay8DZXuJtGjR8rxiDAQCFd16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\ncrMreu+Ku3u4MGFqBDOvjcPJVbtuiIjI4KNGWkQACAr1pvB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tracker_data.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Without backtracking" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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GERFpVChc29qhVTtERC6mQlpERBqlkw1FRBqnkVFERBoVrj/ZUG8XIiIX0sgo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\n+EWqqqpISEjAYrEQGBhIfX09drudvXv3XvHNhm1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=0, axis_azimuth=180, max_angle=90,\n", " backtrack=False, gcr=2.0/7.0)\n", "tracker_data.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Explore ground cover ratio" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [], "source": [ "aois = pd.DataFrame(index=ephemout.index)\n", "\n", "for gcr in np.linspace(0, 1, 6):\n", " tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=0, axis_azimuth=180, max_angle=90,\n", " backtrack=True, gcr=gcr)\n", " aois[gcr] = tracker_data['aoi']" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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aWt/lu1df7KK7fXhZz1m3qZRrbq5fcMyhQwdJJBI8/viPOXmylR/84FEefvjv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\nYCB6vZ7Cw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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aois.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ensure that max_angle works." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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1jCIiElb1HGmt2CEicigV0iIiElbICGmOtIhILVRIi4hIWJraISJSO/WMIiIS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\n6fPnz7N8+XK2bNnCpUuXcHNzo6qqinXr1jFjxgx27tyJTqf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=0, axis_azimuth=180, max_angle=45,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Play with axis_tilt." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0, 360)" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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SWCeGjMQeN/nSN8tIrMiJYVUjCevvosU9DKMJBWhNpPB7HJQUuKntLu6UryNT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s37+fRYsW9fw+efJk9u/fz/z58ykpKem17VJGYlmHq22klqcYDQM5F1WNzTuEoX9+Ki4AOoMS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\nQVVVFEUJdBPPmsSiPXqJA+Dw4cPcd999mM1md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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aois = pd.DataFrame(index=ephemout.index)\n", "tilts = pd.DataFrame(index=ephemout.index)\n", "azis = pd.DataFrame(index=ephemout.index)\n", "thetas = pd.DataFrame(index=ephemout.index)\n", "\n", "for tilt in np.linspace(0, 90, 7):\n", " tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=tilt, axis_azimuth=180, max_angle=90,\n", " backtrack=True, gcr=2/7.)\n", " aois[tilt] = tracker_data['aoi']\n", " tilts[tilt] = tracker_data['surface_tilt']\n", " azis[tilt] = tracker_data['surface_azimuth']\n", " thetas[tilt] = tracker_data['tracker_theta']\n", " \n", "fig, axes = plt.subplots(2, 2, figsize=(16,12), sharex=True)\n", "ax = axes[0,0]\n", "aois.plot(ax=ax)\n", "ax.set_ylim(0,90)\n", "ax.set_title('aoi')\n", "\n", "ax = axes[0,1]\n", "thetas.plot(ax=ax)\n", "ax.set_ylim(-90,90)\n", "ax.set_title('tracker theta')\n", "\n", "ax = axes[1,1]\n", "tilts.plot(ax=ax)\n", "ax.set_title('surface tilt')\n", "ax.set_ylim(0,90)\n", "\n", "ax = axes[1,0]\n", "azis.plot(ax=ax)\n", "ax.set_title('surface azimuth')\n", "ax.set_ylim(0,360)\n", "#ax.hlines([0, 90, 180, 270, 360], *ax.get_xlim(), colors='0.25', lw=1, alpha=0.25)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The simple case of ``axis_tilt = 0`` shows the panels pointing directly East in the morning and directly West in the afternoon. If ``axis_tilt > 0`` then the panels always point South of East and South of West. The panels point towards South near sunrise, rotate towards East in mid-morning, then back towards Sorth around noon, continuing towards West in the mid-afternoon, and finally back towards Sorth near sunset.\n", "\n", "Next, what happens if we try to point the panels North?" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0, 360)" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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KIYS41CmKwgf/KKK53s6EvCSu+Mz4s46MG8hwYk9dHTU/+RH+jnbiP/s54m+6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25snZ9NpzcWwUgRIlYgEIwCnly4gV0L0jCF3Myu3cbCZQX4vCE+f/8Cx/dfIxod/M9vwe0EQxF+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d/x57vBE8iZ16X8V6uy6D92tzZ9Zl8K+1+dq/0xIIBN3Cc4nvYXfi9ggNN3HDyvHc+p3xRCYa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\nCrAmc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aois = pd.DataFrame(index=ephemout.index)\n", "tilts = pd.DataFrame(index=ephemout.index)\n", "azis = pd.DataFrame(index=ephemout.index)\n", "thetas = pd.DataFrame(index=ephemout.index)\n", "\n", "for tilt in np.linspace(0, -90, 7):\n", " tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=tilt, axis_azimuth=180, max_angle=90,\n", " backtrack=True, gcr=2/7.)\n", " aois[tilt] = tracker_data['aoi']\n", " tilts[tilt] = tracker_data['surface_tilt']\n", " azis[tilt] = tracker_data['surface_azimuth']\n", " thetas[tilt] = tracker_data['tracker_theta']\n", " \n", "fig, axes = plt.subplots(2, 2, figsize=(16,12), sharex=True)\n", "ax = axes[0,0]\n", "aois.plot(ax=ax)\n", "ax.set_ylim(0,90)\n", "ax.set_title('aoi')\n", "\n", "ax = axes[0,1]\n", "thetas.plot(ax=ax)\n", "ax.set_ylim(-90,90)\n", "ax.set_title('tracker theta')\n", "\n", "ax = axes[1,1]\n", "tilts.plot(ax=ax)\n", "ax.set_title('surface tilt')\n", "ax.set_ylim(0,90)\n", "\n", "ax = axes[1,0]\n", "azis.plot(ax=ax)\n", "ax.set_title('surface azimuth')\n", "ax.set_ylim(0,360)\n", "#ax.hlines([0, 90, 180, 270, 360], *ax.get_xlim(), colors='0.25', lw=1, alpha=0.25)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The 0 tilt case is repeated for reference. For small Northward tilts, such as -15, the panels point towards North near sunrise, rotate towards the east in mid-morning, then back towards North around noon, continuing towards West in the mid-afternoon, and finally back towards North near sunset.\n", "\n", "The algorithm returns ``nan`` for larger Northward tilts at midday since the beam component of the irradiance would be 0." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Play with axis_azimuth." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0, 360)" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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sC+9YJy4gPj4em80GQEpKKu3t7YwfP4Ht27fh8/lob2+nrKyE0aNzu5TLzx/L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\nEREREQkaSmJFREREREQkaCiJFfGT6upqpkyZws9//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7upIiLnFfXNJ6bdiUVEJKDMmDGV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lm+oUMrGLgwtxa27OFikTC9mgyTSJ7N8HwJbty/H6XBzc1U50ODnJ3sJ0+Mm5XxBJR3ms5VPU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\nXJvFXORzeFmc38Ch7qOcDbTT1HGAPFcuDXkzU1hpLO/SpSguF8GmJtCS14K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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aois = pd.DataFrame(index=ephemout.index)\n", "tilts = pd.DataFrame(index=ephemout.index)\n", "azis = pd.DataFrame(index=ephemout.index)\n", "thetas = pd.DataFrame(index=ephemout.index)\n", "\n", "for azi in np.linspace(90, 270, 5):\n", " tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=0, axis_azimuth=azi, max_angle=90,\n", " backtrack=True, gcr=2/7.)\n", " aois[azi] = tracker_data['aoi']\n", " tilts[azi] = tracker_data['surface_tilt']\n", " azis[azi] = tracker_data['surface_azimuth']\n", " thetas[azi] = tracker_data['tracker_theta']\n", " \n", "fig, axes = plt.subplots(2, 2, figsize=(16,12), sharex=True)\n", "ax=axes[0,0]\n", "aois.plot(ax=ax)\n", "ax.set_ylim(0,90)\n", "ax.set_title('aoi')\n", "\n", "ax=axes[0,1]\n", "thetas.plot(ax=ax)\n", "ax.set_ylim(-90,90)\n", "ax.set_title('tracker theta')\n", "\n", "ax=axes[1,1]\n", "tilts.plot(ax=ax)\n", "ax.set_title('surface tilt')\n", "ax.set_ylim(0,90)\n", "\n", "ax=axes[1,0]\n", "azis.plot(ax=ax)\n", "ax.set_title('surface azimuth')\n", "ax.set_ylim(0,360)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This discussion of the ``axis_azimuth`` parameter assumes ``axis_tilt=0`` and no backtracking.\n", "\n", "Say that your ``axis_azimuth=90 or 270``. Your ``surface_azimuth`` has no choice but to point to North (0), or South (180). Near the equinox, the solar azimuth is very nearly 90 at sunrise and sunset, so the ``surface_tilt`` is going to be poorly defined until the sun is a bit above the horizon. At midday, the ``surface_azimuth`` should definitely point South (180), ``surface_tilt`` will very nearly equal the latitude, and AOI should be nearly 0.\n", "\n", "Next, let's study the ``axis_azimuth=135`` case. This corresponds to a tracker oriented from SSE-NNW. At sunrise, on the equinox, the tracker is going to point East of North by 45 degrees. Sometime before solar noon, the panels should lay flat, and then point West of South by 45 degrees, or East of North by 225." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test the southern hemispere." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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VkRYRqR/1niIiYep0+TvVkRYR8U/QE+nNmzczYcIEAL7++mvGjx/PHXfcwYwZ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\n0PpokQtQIy0iIjLKWP08mTJrDJNnxlJbeYLivFqOHGxk99Z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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tracker_data = pvlib.tracking.singleaxis(ephem_joh['apparent_zenith'], ephem_joh['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test different seasons." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-100, 100)" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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FXdGlsgupsanwoRaVWnXVsWl1fox6/FYOLN/C1n11bD1qI2vOV4x46AZ8jLqr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1hP3rfgx9+l3SubRRzh7pGhcl0huSc1EooG/HllvWsXHlMY4fdF2pDECbxBD6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,3,23), end=datetime.datetime(2014,3,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.title('Tucson, March')\n", "plt.ylim(-100,100)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_joh['apparent_zenith'], ephem_joh['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.title('Johannesburg, March')\n", "plt.ylim(-100,100)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-100, 100)" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HZz9xOs+NTXvLOHvkO4b9bgiexvp/YAkhmi+7zUbxlp/I/frLmu29Y7oS9PDv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\nwf8H7lVlVrEX+nUAAAAASUVORK5CYII=\n", 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ecRefxIvm4e677yM5+Sj9+vWnrKyUJ598moqKcry8vJk58x1UVeWuu24hPz+f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\nFy7EunXrsHbtWjz00ENITk5GY2MjKioqYLVa+zqqS+A8xcNZiovzFJ/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g2Wef7b4Xgm7t\nxiznzJmDw4cPIzMzE//7v//bfa15cnKyxAldy415zp07F4cPH8aePXuQmZmJo0ePYuzYsRg9erTE\nCV1PTU0NJkyYgM7OTqxatQoxMTF4+umnMXToUKmjuRRX650yQRCEWz2osbERaWlpyM7ORltbGxYv\nXoz58+f3Rb5+ifMUD2cpLs6z9xw8eBCbNm3CW2+9xTN8d+jgwYPYuHEj/vGPf/AXZhHcmOebb77J\nmwjvwObNm7F27VqkpKRg3rx5mDt3rtSRXJYr/SzqUZG+obCwELGxsTxwiYTzFA9nKS7Os3dYrVYW\nFZHYbLbum7roznGedy49PR11dXVYvny50501dVWu8LPotoo0EREREf3QjXWiaWDhFjpEREREd4gl\nemBikSYiIiIicgCLNBERERGRA1ikiYiIiIgcwCJNREREROQAFmkiIiIiIgewSBMREREROYBFmoiI\niIjIAf8fRwmfFKgBM8sAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,6,23), end=datetime.datetime(2014,6,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.title('Tucson, June')\n", "plt.ylim(-100,100)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_joh['apparent_zenith'], ephem_joh['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.title('Johannesburg, June')\n", "plt.ylim(-100,100)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-100, 100)" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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jTvy8LodB+ZuJG3PuVQ6EcDRrRQWZ775F+cEDuISFEzzpMZy8vC7qXI3pkVZV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Cp8/CdcAgNNqqlQ4Xh3YYc2veI62oKtuOyCTDG1VaWsq6df+r9vmff/4xa9as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\nqG2mvLaJ8pomKmqbKKpwfennTEYD0WHBWIMDKKtupKHxy29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iAAAA\nRUlEQVQQPTgpSIuIiIiIdIOCtIiIiIhINyhIi4iIiIh0g4K0iIiIiEg3KEiLiIiIiHSDgrSIiIiI\nSDcoSIuIiIiIdMP/D0qICYKyO46aAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,12,23), end=datetime.datetime(2014,12,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.title('Tucson, December')\n", "plt.ylim(-100,100)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_joh['apparent_zenith'], ephem_joh['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.title('Johannesburg, December')\n", "plt.ylim(-100,100)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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P4vAVf9GjS7RG9LErp7Bau7M5OhzAxVGkAeA/7DtWrpzCao3oY1e3xCiz48CD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\nenp6cu18DP1p7ux2kNZqtURHR5OZmUlAQADp6el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yEiLLYJEmkkRRFEwfGQGTWSDrcKnsOERE/aq0phWnCuqRFOXLk13JYbBIE0k0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\nFV9fXy5fvoyTk5ONp+6ZpKWypKdy5NyprO7uecd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5y1/kF2YFtPd888035U2EXZCcnEx8\nfDyTJ08mNjaWmJgYW4/Ua/Wm56JbWqTb5eXlERYWJicuhUhP5UhLZUnP7tHa2iqLikLa2to63tQl\nuk56dl1qaipVVVXExcX1uFdNe6ve8Fx0W4u0EEIIIYT4T+33iRZ9i3yEjhBCCCFEF8kS3TfJIi2E\nEEIIIUQnyCIthBBCCCFEJ8giLYQQQgghRCfIIi2EEEIIIUQnyCIthBBCCCFEJ8giLYQQQgghRCfI\nIi2EEEIIIUQn/D/PFViAs512YgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,12,23), end=datetime.datetime(2014,12,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=False, gcr=2.0/7.0)\n", "tracker_data['aoi'].plot()\n", "plt.title('Tucson, December, no backtrack')\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_joh['apparent_zenith'], ephem_joh['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=False, gcr=2.0/7.0)\n", "plt.figure()\n", "tracker_data['aoi'].plot()\n", "plt.title('Johannesburg, December, no backtrack')" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Ym5kLoX/Mi8oiC/Q6xhZSF74iiQTQaTWoKrZgYMyLmbmg6HIohnqHp/HGkSGU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\nljfRlWdqaiqFhYVcvHiR8+fPs2vXLlpaWqipqSE6OppBgwZ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m5mbdfffd6t69uyRp9uzZmjFjhqejAfBhLsPQX1YfliT9dEpvlrtDu/XvFqMR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\njDM7DoAANmVkqtZ9XaiV2/Mp0ghobMg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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,5,5), end=datetime.datetime(2014,5,6), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=False, gcr=2.0/7.0)\n", "tracker_data['aoi'].plot()\n", "plt.title('Tucson, May, no backtrack')\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_joh['apparent_zenith'], ephem_joh['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=False, gcr=2.0/7.0)\n", "plt.figure()\n", "tracker_data['aoi'].plot()\n", "plt.title('Johannesburg, May, no backtrack')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Calculate full POA irradiance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we'll put the tracker data together with the irradiance algorithms to determine plane-of-array irradiance." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-100, 100)" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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oMIYY3B/gWWh0Wq7+1fXEr9/N2g1F7MwJpOj1xVz3yzEEhZz7hhUhBNTu2Ebx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\nMXBIN8xmk9FxRBxCRVpERDoVvwBPpj+SQniUH2cyC9nw3jE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uodS/9euz2Wys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\niIiIiEgrqEiLiIiIiLTC/wfmG6bL5/ehrwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,3,23), end=datetime.datetime(2014,3,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.ylim(-100,100)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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2F/Rs2wrDkKEo+PUj0KYnxuWb450gCEi78WZkVN6NkMuF+t//N/pqa5WOFRXT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\nPB727t1Lfn5+m56jqurE306bXF4CAWV/BmpyeU/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yqYSWOXdB8tkR9fX1wNHp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\nCCGEEEK0w/8DTycKcCOKzgUAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "irrad_data = pvlib.clearsky.ineichen(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "dni_et = pd.Series(pvlib.irradiance.extraradiation(times.dayofyear, method='asce'), index=times).tz_localize(tus.tz)\n", "irrad_data.plot()\n", "dni_et.plot(label='DNI ET')" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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vvfZa/L9fzugod67V4HTauZYqSuX1HBv3AACC/qBm/g5aWM8so4TsLDMOt49g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\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ground_irrad = pvlib.irradiance.grounddiffuse(tracker_data['surface_tilt'], irrad_data['ghi'], albedo=.25)\n", "ground_irrad.plot()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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yXHtBGXbsb8c7NU3Ye7gbew93w2o2YMY4L86fWIDKkW7us5VJU0cQH9a24IPd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\nT0+P3CVoCvspHfZSWuwnEdHw8blTWmf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ephem_data = ephem_tus\n", "\n", "haydavies_diffuse = pvlib.irradiance.haydavies(tracker_data['surface_tilt'], tracker_data['surface_azimuth'], \n", " irrad_data['dhi'], irrad_data['dni'], dni_et,\n", " ephem_data['apparent_zenith'], ephem_data['azimuth'])\n", "haydavies_diffuse.plot(label='haydavies diffuse')" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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90sySRo4jSAN5hOvBAZwKqSDdxYFD5DiCNJBHegJhlRY5VehymF0KgByW+qlX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\nOjs7tWzZMl1yySVavXq1CgoKNHr0aHm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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "global_in_plane = cosd(tracker_data['aoi'])*irrad_data['dni'] + haydavies_diffuse + ground_irrad\n", "global_in_plane.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Do it again for another time of year." ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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wRrsLdOT16Tgylo7VlsdTtVopXLeGom/Wgs2Gaegwgmb/Cr2X87r8/HI8U5cs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IU8orquSlpTvIKazkwo5h3HFVO4wG6Wd6PHtuDumvvowjKwtz9x60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\nU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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,6,23), end=datetime.datetime(2014,6,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.ylim(-100,100)\n", "\n", "irrad_data = pvlib.clearsky.ineichen(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "dni_et = pd.Series(pvlib.irradiance.extraradiation(times.dayofyear, method='asce'), index=times).tz_localize(tus.tz)\n", "plt.figure()\n", "irrad_data.plot()\n", "dni_et.plot(label='DNI ET')\n", "\n", "ground_irrad = pvlib.irradiance.grounddiffuse(tracker_data['surface_tilt'], irrad_data['ghi'], albedo=.25)\n", "ground_irrad.plot()\n", "\n", "ephem_data = ephem_tus\n", "\n", "haydavies_diffuse = pvlib.irradiance.haydavies(tracker_data['surface_tilt'], tracker_data['surface_azimuth'], \n", " irrad_data['dhi'], irrad_data['dni'], dni_et,\n", " ephem_data['apparent_zenith'], ephem_data['azimuth'])\n", "haydavies_diffuse.plot(label='haydavies diffuse')\n", "\n", "global_in_plane = cosd(tracker_data['aoi'])*irrad_data['dni'] + haydavies_diffuse + ground_irrad\n", "global_in_plane.plot(label='global in plane')\n", "\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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lLW/XED9dueNihXR1rZu1u7Owmo0MT27ccpVCNNbIkaMZOXK01jFajIyRFkI0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\nm5uLjIwMfhY5wd17530X6XfffRcajQarV69GdnY2zp49i3nz5mHGjBn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xZWV1/i6hW3A47MrSQMrTWMrTOMrSWMrTWMrzu9m+fSsNDfUMHTqCw4cLmTnz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\ncx2WOEia203lzd/Gc9wJRLZtpfFnPyHa1JTrsA5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Q2BekOxJPJwnDt6EqkGcx\nU2A1kW81U2A1py4tZgpsZuyaKgvCiFGT0A388QT96WS5N5oqwehLJ87h3STLmgKF6SMwJemEudhm\nochmwbqXIzGqolDmsFLmsPKp8gK6wjHe7/KxqtvP6219vNHWx8w8J6dUFFBx9jkk+vvxvf4qrQ/d\nT+WNNw87ijTIataYP7OEZf9uY/22Xg6fUsgUbw3vta+kPdhJhWvvJV9CHCokkRbiENfQvx2X2UmJ\no5huX5j123qpKXNTVrD70apI4w5a7r0bI5mk5GvXs9zq5a212/HHk2gKzCvycFJ5PkW2A1uIRVUU\n8qxm8qxm6rxQXOymq2sAgGhSpys9at0V3pmo9EXjbPGHgfAu27OoCh6LCa/FhNdswmMxZW57zKlL\nh0mTUW2xV7GkTiCRxB9L4IslSA6EaOkN4Evf9sUSBBLJ3T7XpCjkW01MctkoSO/wFaRLmPKtZrQs\nff6K7RbOmlTMZ6sK+XdvgPc6fXzYnyqhmpXn5JRzL8Tp9xFcvYr2/3mU8q9eg7KbHd1PH13Jsn+3\n8eqqlnQiPZn32lfS4NsuibQQQ0giLcQhrDfSR1+0n7nFc1AUhVdWtqAbBqceU7Xbx0dbW2m5+79J\nhsP0XnkdfzHc+Jq6sagKJ5blcXxpfqYGeiRYNZUqp40qp22X+2JJnb7YYGKdyCTZvmgcXzxJd2TX\nJHuQpoDTpOE0m3CZNJxm7SOXO9udJk3qtScI3TCIJHVCiSQD8SSBeIJAPEkwsfN6IJ4kkL4d0/c8\nS4ZJSe2w1dot5KV31ArTR0cKbWbc5tEtQTKrKkcXeTiq0E3DQJiXW3oyCfXsz5zPEboCK96ny+Oh\n+EsX73LUprbcQ02ZmzUN3fT4IkzNqwVgc18DJ1YuGLX3IcRYJ4m0EIewLf07yzoisQSvr2nF47Rw\n7KzSXR4b6+yk+a5f0ub0sHrhNbRpFkzxJCeV5fOp8nzsH5ktYLRZNJVSu5VSu3W398d1HX8sgT+e\nxBeLp0cVk/jjcfyxVPLUE4nR9jHJ0iCzqmDTVGyaht2kYh9y3aap2E1auk3FZtKwqioWTUlfqlhU\nNXMimDgwumEQ1w2iSZ2YrqcvDWLJ1PVwMkk4oRNO6oQTyd3c1ndbk/xRKuA0axRazbjMJlxmDXf6\nSMakYjeEUzNnONM1y2ONoihM8ziY6razxR/i5ZZeNvhC1C84gzlFlcx5/QUUq5Wi8/5zl/g/fVQl\nv39hI2+saeULJ9aSZ/WysW+z1EkLMYQk0kIcwjKJdF4Nb/27nXA0wenH1mI2Df+RjPf0sPmBe3nn\nmE+xtS41u8fh+S5Ory6iwLprjeVYZFZVCm0WCm0A9j0+LpbUCSaSBNMjkcF4In05OFKZJJRIEknq\nBBMJeiI6+7YA83CqAhZVzSTZlkySrWBSFTRFwayq6cvUbZOqYBq8HHpdUdBUBRUFVWHnyKdhoCoK\nCqmEcEBT8A2EMwsIKICCQmq6YIPBfQjDMEg3kdmtUFIxK0rqOYqSui/zp5DajgJJI5Xopv5AT29b\nNwyShkFCTyXBifT1hG6QMPRUW7o9dV3PPGZ3SfOBsKgKdpNGvsWU2eGxmzRc6aMPg8ly6rYJu0nd\n40jy0LKjsU5RFOq8TqZ5HHzYH+RvjV2smXY4WyqnMG/ZPzjm+WcpOucLw55z7OxSnnplC2+saeXz\nJ9Qws6COd9tW0DzQyiTP7o9aCXGokURaiEOUYRis79mI0+Sg0lnBwyuWY9JUTj6yctjjYr29vPr0\nUt79zIVEbQ4qHVbOnlTMZPeek9HxzKKlEtr8j9lBMAyDeEInltCJxhIEYgmC6VHt8JBEe/AvphvE\n00lh3EglikkgQZIQSQIK6IAho9S7ZxgoBqgGaKQunSiYlFRJhTm9s2FR0iP/moZNU3GaNBzmdImO\nRcNlMWMza5hNKmaTiqYqY3IUeSQpisLsfBd1Xkf6ZER4/TPnsallG2c8/1emnX1Wpk+sZo1PHlHO\nP5c38ebaNmZVTOfdthVs7N0sibQQaZJIC3GIagm00R/1Mb/0KFZu7KazL8yJR5Tjce48SbCjpY0l\nqz6k+ZiTMetJzp5UzIIS77g5MS+R1InEkkRiCSLRZOZ6OJYkEk0QiSeJxZPE4jrReJJYQicWT6au\nx4dc3037gY2H7p2ipYZ9FU1BUUHTVFSTiqYpaCYVVVNQtfSlmrqeemzqtqKknqco6SQxNewMioKm\nqSR1PdUw2D74upnrOxuVoTd3M1qd+jNgsE1Pr7aXbk/dlbrEMDB0MHQDPamn/wwSCR09oZNI6CQT\nOsmEgaGn/hi8HKHOVhSwmFKJtdWsYbVoqUvzR2/v/npJUZBIOLbzORYNm8WE3artdUXQXDOrKqdV\nFnJUoZvntrSwubKWP8bjnPCPV/nMZ0/OxH/mJybx+ppWnn1zKz+8Yi4KCh/2buKzNZ/O8TsQYmyQ\nRFqIQ9S6ng8BqHPP4Mlnt2A2qZx1fA2QOgT/Zv02/tUbJlFWTU00wH/OO4yCA5yJY38ZhkE0niQU\nSRCI67S0+QhGEgQjccKRdCIcSxCJJQlHU5eRwctYknD6vnjiQIouhrOYVCzpRMllN2PxaFgzbRoW\nc+q6WUuNcpo0FZNJzdxOtSmYBm9rauZ65rFDHq+pCqbBJFnJ7ojpeChFMAyDpJ7+S+okdINkMnU9\nmS79SCZ1EkmDRFInlkj9Ow/9iyV04kPaY5n7PtKW1InHU9uIxpP4AlGicZ3EPtRO743FrGK3mLBb\nU4m1zWLCYTVhs2pD2lP32a2mzP12q4bTbsZpM+9SYjUSCm0WLj+shg+aO3h+RxdvFFZT/+ZqFh49\ni1K3A6/LypmfmMT/e3Mbb6zqptpdQYNvO9FkDKs2Ot8HQoxlkkgLcYha1/0hqqKyeYMVf7Cf806a\nQkmenY5wlKfXbaUVE9Zkgs8k/HzyxAUHnNDphkEoksAXjDEQjOEPxfAHYwyE4gQjcUKRBMFIglAk\nnkmWQ5EEyQOogbVZNGwWDafNTJHXhs1iSrelEhibJZXEZNosWiZJtpiHX7eaNMzmPdfHipGhKEp6\nxwMw5+YE1qSuE42ljlJE40miseRur5stJnr6QunbqTKfwZ27cPoyFInT448c0E6dxazitKWSapfd\nlLqeuTTjtJnwOCx4nBa8ztSl5QD6TFEUjqouY4rLxpI3l7OlvIb7NzTy6dI8Tp5UyunzJ/Ha6hb+\n+X4jJ58+ncaBFjb3NTCnaNZ+v5YQE40k0kIcggZiAbb7myhXZvLmBx2UFzo4bX41Lzd381prD7pi\nonbbRj4/pYKyecftcTvxhE7vQIQeX4Qef+qy1x+lbyCCPxTPJMy6sfekWFMVHLZUklCSZ8dhSyUK\nhfkOFMPAaTPhsJlwWM04rBo26/CE2GqRuaBFdmiqisOm4rB9/E/k/ozwJ5L6zgQ7kkiVGEUHk+5E\n6jKaJJROvoPhOIFIgmA4lYg3d+26TPju2K0aHqcV75DkOt9tpchrozjPTpHXhstu3u2OsTc/j8tP\nP4l3lvyFVyqm868ujXW9A1wwcxLnnjiF37+wkY2rPRgVCht7N0siLQSSSAtxSNrQU08yYqN182QM\n4OQTJvGbddvoShg4ggFOWPMWx59/LtbqaiCVMLd2B2nqDKT/BmjrCeELxvb4GjaLhsdhobjCjtth\nxuO0ZEbPPE4LbvvOUTWHzYTVvPvpw8ZDOYIQe2PSVNwOC+7dr3O0V0ldzxy9CYZTR3OC4QT+UAxf\nMIYvkDra4wvE8AejdPaG9lhabrNoFHntFOfZKM13UFnspKrYRXmhA4vVyvELL2Tyc8/yUlOCzTOP\n5MF1O5hX5GZuXRFrNndjjh3BWseHnF/3+UPuZE0hPkoSaSEOQSuaNxHbeCxGDCbPLuDVYBCA6RtW\ncULUR/Sz5/JKq07TB+tp6gzQ3hMaVmqhAIVeGzMn5VHosVHotVGQviz02Mh3W7Hm6LC8EBORpg4m\n4vtWl5zUdQKhOP2BGH0DUbp8Ybr6w3T3R+j2henyhWnuCgx7jqJASb6D6hIXk0uPYr67jSmvPss7\nR57AckXBVGmhsM9BT3c57VuCbJ61len5U0fi7QoxbkgiLcQhxh8J8sHbeRgxK66pXqLlTqp2bGb2\nmuWstU7lDtM0eG5z5vFWs0ZNuZvqEjfVJS6qS1xUFTuxjeAKhkKIg6OpKl6XFa/LyuQy9y73G4ZB\nIBynrSdES3eQ5q4ALV1BWroCrNjYyYqNnQDYkrM55dVlmEodrDn6BNRZeWjLoyRap/HMO2v5weck\nkRaHNvklFOIQ8+AL75MMW3FUOJmTbKbq+XVsShTxuPsE8r12jhySMFeXuijOs0vtsRATjKIomRHu\n6dV5mXbDMOjxR2jsCNDYMcCO9gHe6fRCTxcLnvs7pgoPa6cfQ+PGKFv+7eWtKU2cMLM6h+9EiNyS\nRFqIQ8iOLh9bNhmoFpVPdHyArWwq5s9fypmlbq4qceG0jY9VCoUQI0NRFIq8doq8do6eXpxp94di\nNHacSGNjN3NWr8BWkk99u43fPb+ZwyoLyTvQ4m8hxjlJpIU4hNzz9AoMQ2Gqq5//vPTL2O22XIck\nhBgHPA4Lc2oLmVNbCJ+awdrV69FCa2kzStn02rsc+/lTch2iEDkhibQQh4jXlq3D51ewuxT+41Mz\nxkQSbRg6yfgAeiKMocfQ9RiGHkdPxjDS1+M+CAwEMIwEGDpG+i+1jN7g7SQYOqkl8BRQ1PRsAmpq\nlUDUYW2Kakr/mVEUM4pqRlVTl5l21YKq2dJ/VhTVIjMUTGCGYaQ+g4kQejKc/gzGU5/H9KWhxzGM\nOEYyhm4kCHUqhMNRIP2ZNAyMIZ/LXT+T6c/h4OdSUWHws6ma0p9BS/rzmLpUNMu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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,12,23), end=datetime.datetime(2014,12,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.ylim(-100,100)\n", "\n", "irrad_data = pvlib.clearsky.ineichen(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "dni_et = pd.Series(pvlib.irradiance.extraradiation(times.dayofyear, method='asce'), index=times).tz_localize(tus.tz)\n", "plt.figure()\n", "irrad_data.plot()\n", "dni_et.plot(label='DNI ET')\n", "\n", "ground_irrad = pvlib.irradiance.grounddiffuse(tracker_data['surface_tilt'], irrad_data['ghi'], albedo=.25)\n", "ground_irrad.plot()\n", "\n", "ephem_data = ephem_tus\n", "\n", "haydavies_diffuse = pvlib.irradiance.haydavies(tracker_data['surface_tilt'], tracker_data['surface_azimuth'], \n", " irrad_data['dhi'], irrad_data['dni'], dni_et,\n", " ephem_data['apparent_zenith'], ephem_data['azimuth'])\n", "haydavies_diffuse.plot(label='haydavies diffuse')\n", "\n", "global_in_plane = cosd(tracker_data['aoi'])*irrad_data['dni'] + haydavies_diffuse + ground_irrad\n", "global_in_plane.plot(label='global in plane')\n", "\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Reproduce examples from ``pvl_singleaxis.m``" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Albuquerque: latitude=35, longitude=-106, tz=US/Mountain, altitude=0\n" ] } ], "source": [ "abq = Location(35, -106, 'US/Mountain', 0, 'Albuquerque')\n", "print(abq)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Example 1:\n", "\n", "Horizontal single axis tracking without back-tracking (max angle = 45 deg)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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SRQQHN6B7954cPXqYAwf2AuDh4cX169eoWtWHxYvnU62aH76+/owdOwEvL2/C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\n7rxOqri4mFWrVnHbbbcpy0tUXl7Oc889x8aNGzsPWA0NDSxfvlz7uof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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,6,1), end=datetime.datetime(2014,6,2), freq='5Min')\n", "\n", "ephem_abq = pvlib.solarposition.get_solarposition(times.tz_localize(abq.tz), abq.latitude, abq.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_abq['apparent_zenith'], ephem_abq['azimuth'],\n", " axis_tilt=0, axis_azimuth=180, max_angle=45,\n", " backtrack=False, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.ylim(-100,100)\n", "plt.title('June 1, Albuquerque, NS Horizontal Single-Axis, no backtrack')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Example 2:\n", "\n", "Horizontal single axis tracking with back-tracking (assumes GCR of 0.3)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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nqFy5ClOnTkKv16NWq/ngg4lF5urW7UkmTBiLo6MTrq5upKam8Pff29i9eyfX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,6,1), end=datetime.datetime(2014,6,2), freq='5Min')\n", "\n", "ephem_abq = pvlib.solarposition.get_solarposition(times.tz_localize(abq.tz), abq.latitude, abq.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_abq['apparent_zenith'], ephem_abq['azimuth'],\n", " axis_tilt=0, axis_azimuth=180, max_angle=45,\n", " backtrack=True, gcr=.3)\n", "tracker_data.plot()\n", "plt.ylim(-100,100)\n", "plt.title('June 1, Albuquerque, NS Horizontal Single-Axis, with backtracking')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Example 3:\n", "\n", "20 deg titled single axis tracking with back-tracking (assumes GCR of 0.3)" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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rHGukV6xYQZEiRZgwYQKXL1+mXbt2vPrqq/Tp04cXX3zRslxsbCxz585l6dKl\npKWl0a1bNxo1aoSDg0NORRMRERHJ93bs2Eb16gH8978D2bv3b06ciLzpBin/+7pOnfp07twNgE2b\n1vPhhxM5cuQQzZu3pGnTZsTGxvLaa/1o164jEyeOZ/ToDylbthy//rqCkycjmTTpY4YNG0W5cn6s\nXLmcefPm0K/ff2/JZDQa6dHjRU6fPkXjxk1ZtGjBDc/36tWHxYsX5YkmGnKwkW7dujWtWrUCrh59\n2Nvbc+DAASIjIwkNDcXPz4+hQ4eyb98+6tSpg729Pe7u7vj5+XH48GECAgJyKpqIiEiel23K5tSV\ns0TEHyE+9RJmzJjMZsB89T/z1f/nFU5ODqSnZ951GVcHVwK9q1GlSEUc7PLOgJtPp673HD3OCSEh\nbZk/fw6DB7+Gh4c7des+etMS/3t/3G4ah5eXN4sW/cCGDetwdXUjKysbgPj4OMvyzzzTBoBTp04w\nadJHwNVZCaVLl7mvjGbz7d6jeed9m2ONtIuLCwBJSUkMGjSI119/nYyMDDp16kT16tWZOXMm06ZN\no1q1anh4/O8e5q6urly5onvDi4iI3Cw+7RIH4g5zKP4Ihy8dIzUrzdaRHrrNUVtxsXfm5YBeVPGq\naOs4udqmTRsICqpN794vExq6mhUrlloa1wsXzpOYmGhZ1mi8/rS5q8v88MM8AgJq0q5dR3bv3snW\nrVsAKFrUl6ios5QqVZr58+dQpkw5ypb1Y/jw0fj6FmP//r3Ex8fdMZfBYMBkMt3x+dv21rlUjt4i\n/Pz58wwYMIAePXrwzDPPcOXKFUvT3Lx5c8aOHUv9+vVJSkqyvCY5ORlPT8/7Wr+Pj8e9F5L7olpa\nl+ppXaqn9aiW1pXT9TSZTByLP8muc/vZfW4/py5HWZ7zdfOmcbl61CxejXKFS2M0GDFiwGAwYLD8\nH7jhT/l524UrF9ketYdVR/9k7qGFTGw1HA8nd1vHyrUaNarHu+++y4IFszGZTAwbNoQvv/ySAQNe\nokKFCpQpUwYfHw+cnR0oVMjF8n42Go34+HjwzDMtGTt2LBs3rsXDwwNHRwcKF3Zm3LgP+OijsRiN\nRnx9fXn11VeoWrUCH300muzsbIxGI+PGjbvj56Nu3SAWLJhD3bq1cHS0x8vLDTc3Jzw8nPHx8aBy\n5Up88skHTJgw4WGW64EYzLcfU//XYmNj6dWrFyNHjqRBgwYAdO7cmREjRhAYGMi8efO4cOECL774\nIn369OEIbgZNAAAgAElEQVTnn38mPT2dLl26sGzZMhwdHe+5jYsXNXJtDT4+HqqlFame1qV6Wo9q\naV05Vc+0rHQOxh8mPDaCA3GHSMpMBsDeaE/lIv4EeFejulcVfFy9rb5tW/on9Vxz8k+WR66ilk8A\nLwX0vGner4A+79Z0twPmHBuRnjlzJomJicyYMYPp06djMBgYOnQo48ePx8HBAR8fH8aMGYObmxs9\ne/ake/fumM1mBg8efF9NtIiISH6RlpXOgbgIdsfs50DcITJNV+cKezp68FiJ+gQWrUYVr0o42en3\nI0Dzco8THneIPRfD2XphFw1L1LV1JLlJVlYWb7zx6i0HOWXLluOtt4baKJX15diI9MOgIy3r0FGr\ndame1qV6Wo9qaV3/tp53ap6LufpS2zeQmkWrU8ajFEZDwbjlwz+tZ1xqPOO3TwZgaP03KOrilVPR\n8iR93q3HJiPSIiIiciOT2cThS8fYen4ney8euKF5fsQ3kEd8gyjhVkxTFe6Dt4sXnSu34/uIhcw5\n+CNvPNK/wBx0SO6hRlpERCSHxaTEsu38TrZd2M2l9AQAfF2KUqdYkJrnf6F+8UfYHxfB3zH7+OPU\nelr6Bds6khQwaqRFRERyQHp2Brui97L1/A6OXz4JgLOdE41K1qdBibqU9yyn5vlfMhgMdKvSgciE\nk6w8sYZqXpUp61na1rGkAFEjLSIiYkUxKRfZGPUXW8/vJDUrDQMGqhSpSIMSdanlE4CjThi0KjcH\nV3pW78y0PbOYffBHhtQbqBrLQ6PJRCIiIv+SyWwiPDaCaXtmMXrrJ/x5ZjMORgda+zVndMMhDKzd\nj/rFH1GDl0OqeVXmidKNiU6JYdnx32wdJ9fIyMhg5cplD/z6b7/9iuXLl1gtz8aN64mLi+XChfO8\n8krv+37dihVLyc7OtloOa9KItIiIyAPKMmWxI3oPoac3cCE5GgD/Qn40Lf0YtXwCsDfq1+zD0sa/\nNRGXjrLhbBiBRatTzauyrSPZXFxcLL/8spyQkHa2jgLATz/9gJ/fMBwdHf/RtKa5c7+jdesQ7Ozs\ncjDdg9EnXERE5B9Ky0rjl0Pb+OVQKAnplzEajNQv/gjBZZpSxqOkreMVSI52DrxYvSsTdk7lh0OL\nee/RN3PNdbfD1h0n8lCMVddZoaovjwX733WZ77//jpMnI2natD5169YnNTWVoUNHsGrVrxw+HMHl\ny5epWLESQ4eOJCEhgXHjRpGUdPWSee+9N9qynqios7z//nsMHTqCYsWK8+GHH3DlytXbiw8a9BYV\nKvjTsWMIfn4V8PMrz2uvvXFLlr/+2szRo0cYO3YUI0aM4dKleIYNe5vY2Iv4+1fi3XffIyYmmgkT\nxpGRkYGTkxNvvz2M7du3EhcXx6hRwxg79mM++WQ8MTExxMXF0qhRE15++T9WrOo/p0ZaRETkPqVl\npbPxbBihpzeQnJWCo50jwWWa8ESZxng5F7F1vAKvjEcpmpd9nDWn/mRl5Go6VnrW1pFs6oUX+hAZ\neYwGDR7jypVEBg58k5SUZDw8PPn002mYzWZ69uxMbGws8+fPoXHjx2nbtgPh4fuJiDgAwOnTJ1m5\ncjnvvz+OUqVK88UXU6lbtz7t2nXk7NkzjB8/mhkzZnHxYgyzZ/+Ah8ftr7ncsGFjKleuwttvD8PB\nwYGUlBTee28Urq5udO3anoSEBKZPn0KnTt149NGG7Nq1gy+/nMbIkR8wZ863jBnzITEx0dSoEci7\n77YlIyODDh2eViMtIiKS22VkZ7Ax6i/+OLWepMxkXOxd6BzwLPWK1MHVwdXW8eQ6rf2a83fMPv48\ns5k6xYLw8yxr60g8Fux/z9HjnFa2bDkAHB2duHQpntGjh+Ps7EJqaipZWVmcPn2KkJC2AAQEBBIQ\nEMi3337F1q1h2NvbYzRePa0uMvIYu3fvZN26PzCbzZaR6cKFi9yxib7GbDZz7T6AJUuWws3NHYAi\nRbxIS0vj+PHjzJ37HfPnz8FsNmNvf61Nvfo6T09PIiIO8PffO3FxcSMzM9PaZfrH1EiLiIjcQbYp\nm7DzO/j1xBquZCThbOfM0+VbEFymMWVL+OrOcbmQo50D3as+x2d/z+SHQ0t4t97AAnujFoPBgMlk\n+v+vr9Zg69YwYmIuMHr0hyQkJLBp03rAjJ9feSIiwvH3r8iePbv5668tODk50blzd0qVKs3YsaOY\nOnUm5cqVp2XLajRv3pJLly6xcuXy/1//vfMYjUZud0Pta4/5+fnRtWtPAgICOX36JHv2/G15ncmU\nzW+//YKHhydvvz2Ms2fP8MsvS/99kf4lNdIiIiK3cSDuMEuOreRCcjSOdo609nuS4DJNNAKdB1Qu\n4s+jxeuw7cIutpzbRpNSDW0dySaKFPEiOzuL9PR0y2PVq9dgzpxvGDCgH3B1ZDg29iI9e/bmww9H\ns3r1KoxGI0OGjGDVqpUA1K1bn/Xr1zJ//vf06tWHDz8cw/LlS0hJSaFPn37/v+Z7d9IBATUZO3Yk\nb7897IaTDa99/d//DmLixI/IyEgnIyODQYPeAqBmzVq8/fbrDB78Lu+//x7h4ftwcHCgTJlyxMbG\nUrRoUWuU64EYzLc7NMgjNBJgHT4+HqqlFame1qV6Wo9qeX/OJV1gybGVRMQfwYCBx0rW45nyLSnk\ndOOfrVVP67J2PS+nX2HM1gnYGewY2fBt3B3crLbuvEDvT+vx8bnzlBWNSIuIiHD1ToS/nfiDdWc2\nYTKbqFqkEh0qhVDKvYSto8kDKOTkwdPlW7Dk2Ep+iVxNtyodbB2pQNi8eSMLF863jDKbzWYMBgOd\nOnWlSZNmtg2XA9RIi4hIgbc/9iCLjiwnPu0S3s5edKrchgDvarqFdx7XrHQjws5tZ0vUNh4v9Rgl\n3YvbOlK+17hxUxo3bmrrGA9NwZx9LyIiAiSkX+br/d/z5b7ZJKRf5qlyTzD80cEEFq2uJjofsDPa\n0b7iM5gxs/z4KlvHkXxII9IiIlIg7Yzew8LDS0nJSqVCIT+6VemgEct8qIZ3VSoWLk94XARHL0VS\nqUgFW0eSfEQj0iIiUqAkZ6bwbfh8vjuwgCxTFl0qt+eNR/qric6nDAYD7fyfAWDZ8d9ue/k1kQel\nEWkRESkwDsYdZl7ET1zOSKS8Z1l6Ve+Cr6uPrWNJDitfqCy1fALZc3E/e2MPUMsnwNaRJJ9QIy0i\nIvletimbXyJX88fp9RgNRp6t0IoWZR/Hzmhn62jykDxboSV7L4bz+4lQgorW0Bx4sQo10iIikq9d\nTk/k2wPzOZZwAl+XovQJeJ4yHqVsHUsesuJuvjziW5NdMXsJj4sgsGh1W0eSfEBzpEVEJN86cuk4\nH+6YwrGEE9TyCeSdegPVRBdgrfyeBGDVibWaKy1WoRFpERHJd8xmM6GnN7D8+CoMBgMdK4bwRJkm\n+nN+AVfSvbhlrvTB+CPU8K5i60iSx2lEWkRE8pUsUxZzIxax7PhveDp68Hrt/gSXbaomWgBo/f+j\n0qtPrrNxEskPNCItIiL5RlJmMrP2z+VoQiTlPMrwSs0XKOTkaetYkouU9ihJda8qHIw/zKnEM5Tz\nLGPrSJKHaURaRETyhZiUi0zaOZ2jCZHU8gnk9UdeURMttxVctgkA685ssnESyevUSIuISJ53LOEE\nE3dOJyY1lqfKPUHfgOdxtHO0dSzJpaoWqURJt+LsjtnHpbQEW8eRPEyNtIiI5GnhsRFM2/M1qdlp\nPF+1E239W2M06Neb3JnBYCC4TBNMZhMbzobZOo7kYfpJIyIiedau6L3M3D8HgFcCX+CxkvVsnEjy\nirrFa+Ph6M7mc1tJz86wdRzJo9RIi4hInrTl3Da+O7AAR6MDrwa9REDRaraOJHmIg9GexiUfJTUr\njV3Re20dR/IoNdIiIpLnrD29kQWHFuPq4MKg2q9QqUgFW0eSPOixkvUxYGBz1FZbR5E8So20iIjk\nKX+cWs+SYysp5OjJG4/8h7KepW0dSfIoL+ciBBStyqkrZzh95ayt40gepEZaRETyjD/PbGbZ8d8o\n7FSIwXX+Qwm3YraOJHlc45INANgctc3GSSQvUiMtIiJ5wqaov/j56AoKOXowqHY/irp42zqS5APV\nvavg5VyEHdF/k5qVZus4kseokRYRkVwv7NwOfjy8FHcHNwbW7oevq4+tI0k+YTQYaVSyPhnZGeyM\n3mPrOJLHqJEWEZFcbceFv1lw6Gfc7F0ZWLsfxTWdQ6zs0eJ1MGBg2/ldto4ieYx9Tq04KyuLYcOG\nERUVRWZmJv3796dixYoMGTIEo9FIpUqVGDVqFACLFi1i4cKFODg40L9/f5o1a5ZTsUREJA85EHeI\n7yMW4mzvzIDaL1HKvYStI0k+VMS5MFW9KhERf4To5BiKufnaOpLkETnWSK9YsYIiRYowYcIEEhMT\nadu2LVWrVmXw4MHUrVuXUaNGERoaSq1atZg7dy5Lly4lLS2Nbt260ahRIxwcHHIqmoiI5AEnE08z\na/9c7AxG/lOzN2U9dHUOyTmPFq9DRPwRtl3YTRv/VraOI3lEjk3taN26NYMGDQIgOzsbOzs7Dh48\nSN26dQFo2rQpYWFh7Nu3jzp16mBvb4+7uzt+fn4cPnw4p2KJiEgeEJNykS/2fkemKYveNZ7Hv7Cf\nrSNJPhfkUwNnO2e2XdiFyWyydRzJI3KskXZxccHV1ZWkpCQGDRrEG2+8gdlstjzv5uZGUlISycnJ\neHh4WB53dXXlypUrORVLRERyucvpV5i25xuSMpPpUqU9QT41bB1JCgBHO0fqFKtJQvpljlw6bus4\nkkfk2NQOgPPnzzNgwAB69OjBM888wyeffGJ5Ljk5GU9PT9zd3UlKSrrl8fvh4+Nx74XkvqiW1qV6\nWpfqaT25vZapmWlMXDebuLR4nqvxDB0CWtg60l3l9nrmNbauZ0uasuXcdvZc2kuTKo/YNIs12Lqe\nBUGONdKxsbH07duXkSNH0qDB1YudV6tWjR07dlCvXj02btxIgwYNCAwMZPLkyWRkZJCenk5kZCSV\nKlW6r21cvKiRa2vw8fFQLa1I9bQu1dN6cnsts03ZfLl/NicSztCoZH2a+TbN1Xlzez3zmtxQTy+z\nD97ORdh+dg9RF+JxtMu752vlhnrmF3c7IMmxRnrmzJkkJiYyY8YMpk+fjsFg4L333mPs2LFkZmbi\n7+9Pq1atMBgM9OzZk+7du2M2mxk8eDCOjo45FUtERHKpJcdWcjDuMNW9q9ClcnsMBoOtI0kBYzAY\neMQ3iD9Or+dg3CFq+QbaOpLkcgbz9ROX8xgdaVmHjlqtS/W0LtXTenJzLTee/YuFR5ZSwq0Yb9Z5\nFRd7Z1tHuqfcXM+8KLfU88yVc3y0Ywq1fWvyUkAPW8d5YLmlnvnB3UakdUMWERGxqYj4I/x0dDnu\nDm78p2bvPNFES/5V2r0ExVx9CI+NIE23DJd7UCMtIiI2cyE5hm/C52HEwCs1X8DbxcvWkaSAMxgM\n1PENItOUyf7YCFvHkVxOjbSIiNhEUmYyX+z7jtSsNJ6v1okKhfxsHUkEgDrFggDYFbPXxkkkt1Mj\nLSIiD53JbOK78AXEpsbRqlww9Yvn/UuNSf5R3K0YpdxLcDDuMCmZKbaOI7mYGmkREXnoVhz/nUOX\njhLgXY1nKjxl6zgit6jjG0S2OZu9Fw/YOorkYmqkRUTkodoVvZc/Tq/H17UoL9boitGgX0WS+2h6\nh9wP/fQSEZGHJirpPPMiFuFk50i/wBdwsXexdSSR2yrq4k05jzIcvnSMKxlJ936BFEhqpEVE5KFI\nzkxh5r45ZJgy6VW9KyXcitk6kshd1SkWhMlsYs/F/baOIrmUGmkREclxJrOJ7w4sIC4tnlZ+T1LL\nJ8DWkUTu6RHfmsDV6Ugit6NGWkREctyK478TEX+EGt5VeaZ8C1vHEbkvRZwL41+oPMcSTpCQftnW\ncSQXUiMtIiI5ynJyoUtRXqzeTScXSp7SpFQDjAYjaVnpto4iuZC9rQOIiEj+dcPJhTVfwNVBJxdK\n3lKveG1q+QbiYFTLJLfSsICIiOSI5MwUvrp2cmG1Ljq5UPIsNdFyJ2qkRUTE6q6dXBibFk+rcsHU\n8g20dSQREatTIy0iIlb3S+RqIuKPUN27iu5cKCL5lhppERGxqt0x+1hz6k+KunjTWycXikg+pp9u\nIiJiNeeSLjA3YhGOdo68EvgCrg6uto4kIpJj1EiL5FJpWemYzCZbxxC5bymZKczcP4eM7Ax6VetC\nSffito4kIpKj1EiL5EJXMpIYsnkMa06tt3UUkfty9eTCH4hNjeOpck9QWycXikgBoEZaJBdytnPC\naDAQdm4bZrPZ1nFE7mll5BoOxh+muncVnq3Q0tZxREQeCjXSIrmQg50DNYvWIC7tEqevnLV1HJG7\n+jtmP6tPrdPJhSJS4OinnUguVadYEHD19soiudW5pAt8H7FQJxeKSIGkRlokl6rqVRkXe2d2x+zT\n9A7JlVIyU/nq/08u7Fmts04uFJECR420SC7lYLSnZtEaXEpP4ETiaVvHEblBtimbb8LncfH/Ty58\nxLemrSOJiDx0aqRFcrFrzcnuGE3vkNxl8bFfOHTpKAHe1XRyoYgUWGqkRXKxql6VcLV3YXf0Pl1T\nWnKNjWfD2HA2jJJuxeldQycXikjBpZ9+IrmYvdGe2r6BXM5I5OilSFvHEeFQ/FF+OroCDwd3+tfs\njbO9s60jiYjYjBppkVyubrHaAOyI/tvGSaSgi06OYVb4PIwY6FezF94uRWwdSUTEptRIi+RyFQuX\np7BTIfZc3E9mdqat40gBlZSRzJf7ZpOalUr3qs9RoZCfrSOJiNicGmmRXM5oMFK3WC1Ss9I4EHfI\n1nGkAMrIzuDLfd8RkxpLy3LBPFqijq0jiYjkCmqkRfIATe8QW8k2ZfPtgQWcSDxNvWKP6AodIiLX\nUSMtkgeUdi9BcbdihMdGkJKZaus4UkCYzWYWHVnG/tiDVC1SiR7VnsNgMNg6lohIrqFGWiQPMBgM\n1C9WmyxzNrt0TWl5SFafWsfmc9so7V6SlwJ7Ym+0t3UkEZFcRY20SB5Rv/gjGDCw9fxOW0eRAuCv\nczv4JXI1Xs5F+E9Qb1x0mTsRkVuokRbJI4o4F6aaV2VOJp7mfHK0reNIPrYrei/zD/2Mq70Lrwb1\nobBTIVtHEhHJlXK8kd67dy89e/YEICIigqZNm9KrVy969erFqlWrAFi0aBEdO3aka9eurF+/Pqcj\nieRZDUrUBeCv8ztsnETyq30XDzD74A842TkyoNZLFHcrZutIIiK5Vo5OeJs1axbLly/Hzc0NgPDw\ncPr06cOLL75oWSY2Npa5c+eydOlS0tLS6NatG40aNcLBwSEno4nkSTV9auBm78r2C7tpW6E1dkY7\nW0eSfCQi7gjfhM/D3mDHf4L6UM6zjK0jiYjkajk6Il2uXDmmT59u+f7AgQOsX7+eHj16MHz4cJKT\nk9m3bx916tTB3t4ed3d3/Pz8OHz4cE7GEsmzHIz21C1eiysZSbqmtFjV0UvHmbl/DhgMvFLzRSoW\nLm/rSCIiuV6ONtItWrTAzu5/I2ZBQUG88847zJs3jzJlyjBt2jSSkpLw8PCwLOPq6sqVK1dyMpZI\nntawRD0AtpzbbuMkkl8cTzjJF/u+w2Q28XJAT6p6VbJ1JBGRPOGhnmzYvHlzqlevbvn60KFDeHh4\nkJSUZFkmOTkZT0/PhxlLJE8p41EKP8+yHIg7RFxqvK3jSB53KP4o0/Z8TaYpiz41uhNQtJqtI4mI\n5BkP9aKgffv2ZcSIEQQGBvLXX39Ro0YNAgMDmTx5MhkZGaSnpxMZGUmlSvc3GuLj43HvheS+qJbW\nldP1fKbqE0zfPofdCX/TvWy7HN1WbqD3p/VcX8udUfv4Yt93ALzVqB91SwXZKlaepfemdame1qV6\n5ryH2ki///77fPDBBzg4OODj48OYMWNwc3OjZ8+edO/eHbPZzODBg3F0dLyv9V28qCkg1uDj46Fa\nWtHDqGcll8q42bsSemwzzYo9jkM+vlGG3p/Wc30td0XvYfbBH7E32PFKzRcp51hBdf6H9N60LtXT\nulRP67nbAYnBbDabH2IWq9IbxDr0YbOuh1XPpcd+JfT0Bl6o3pX6xR/J8e3Zit6f1nOtlmHndrDg\n0M842Tnx36A++Bf2s3W0PEnvTetSPa1L9bSeuzXSuiGLSB7VuGQDDBjYeDbM1lEkjzCbzfx24g/m\nH/oJVwcXBj3ST020iMi/oEZaJI/ycfWmhndVTiSeJvLySVvHkVwuy5TFjO3f8+uJP/B2LsLgR/5D\nWY/Sto4lIpKnqZEWycOal30cgNBTG2ycRHKzlMwUpu2ZxYaTWynnWYa36g7QHQtFRKwg/56hJFIA\nVCxcnnIeZdgXe5DolIsUc/WxdSTJZWJT45ix9zuiU2KoX7oW3fyfw9Hu/k7oFhGRu9OItEgeZjAY\naF7uccyYWXd6o63jSC5zIO4QH+/4nOiUGJ4s25TBj72sJlpExIrUSIvkcbV8Aijq7MXWC7tIzNAZ\n2gIms4lfI9fwxd7vyDBl0r1qRzpUDMFo0I98ERFr0k9VkTzOaDDyZNnHyTJlaa60kJyZwhd7v+O3\nk6EUcS7Mm4/8l0YlH7V1LBGRfEmNtEg+0LBkPYo4FWZj1F9cTteodEF14vIpPt7xGQfjD1Pdqwrv\n1htIWU9dmUNEJKeokRbJBxyM9rT0e4JMUyahp9fbOo48ZNmmbH6NXMOnu78gPi2Bp/2a85+g3rg7\nuNk6mohIvqZGWiSfaFDi6qj0pqitGpUuQGJSLjJp9wx+OxlKIUdPBtXuxzMVntJ8aBGRh0A/aUXy\niauj0sFkmjJZfWqtreNIDjOZTWyK2sqH26dwKvEM9Yo9wnuPvkGlIv62jiYiUmDoOtIi+UjDEnVZ\ne3oDm6K28njpRrqudD51ITmaBYeWcPzyCVzsXehTrRN1itWydSwRkQJHI9Ii+Yi90Z62/k9jMptY\ncXyVreOIlWVmZ7Iycg3jt0/h+OUTBPkEMPzRwWqiRURsRCPSIvlMLZ8AKhQqx56L4RxLOEHFwuVt\nHUms4HD8MRYeWUp0ykUKOxWic+W2BPkE2DqWiEiBphFpkXzGYDDQvmIIAEuOrsRkNtk4kfwbMSkX\n+XLfbD7f8xUxKbE8XroRwx99U020iEguoBFpkXyoQqFy1PENYlfMXv46t4NGpXRDjrwmJTOFVSfX\nsuFsGNnmbPwL+fFcpTa6LrSISC6iRlokn+pQKYTwuAiWH19FkE8A7o66pnBekJGdwcaov1hz6k+S\nM1PwdvaiXcWnqe0TiMFgsHU8ERG5jhppkXyqsFMhnin/FEuOrWRF5Cq6V33O1pHkLjJNWWw5t43V\nJ9eRmHEFZztn2vq35onSjXGwc7B1PBERuQ010iL5WLPSjdh6fidbzm2nfvE6OvEwF8o0ZbHt/E5+\nP7mOS+kJONo50rJcME+WbYqbg6ut44mIyF2okRbJx+yMdnSr2pFPd81gbsQihtV/Ayc7R1vHEiA1\nK5XNUdtYd2YTiRlXcDDaE1ymCU+VewIPR3dbxxMRkfugRlokn6tQqBzBZZuw9vRGVhxfRafKbW0d\nqUBLSL/MhrNhbDz7F2nZaTjbOdG87OM8UaYxhZ0K2TqeiIj8A2qkRQqAkPItCY89xPqzW6jlE6Db\nSD9kZrOZE4mnWH9mC39f3I/JbMLDwZ2nyrWiSamGuDq42DqiiIg8ADXSIgWAo50DPat1ZtKu6cyL\n+Imh9d/A2d7J1rHyvYzsDHbF7GPD2S2cuRIFQAm3YjxeuhGPFq+Do04iFBHJ09RIixQQ5QuVpXnZ\nx/nj9HqWH19FlyrtbB0pXzKbzZy+cpaw8zvYeWEPadlpGDBQyyeAx0s/RqXC/rqMnYhIPqFGWqQA\neaZ8C/bHRbAxKozavgFULlLR1pHyjcvpV9gds5e/zu8gKuk8cPUShM3KNOKxEvXxdili44QiImJt\naqRFChAHOwd6VevMxF3T+f7g1at4aH7ug0vJTGXvxXB2Ru/h8KVjmDFjNBip5RNAwxL1qO5dBaPB\naOuYIiKSQ9RIixQw5TzL0KpcML+dDOXHw0voXaO7phr8AxnZmYTHRbAzeg8HYiPIMmcDUN6zHHWL\n1aJOsSBdvk5EpIBQIy1SALXye5JDl46yK2Yv1b2r0KBEXVtHytWSM1MIj41gX+wBDsYfISM7A4Di\nbsWoV6w2dYsFUdTF28YpRUTkYVMjLVIA2RnteKF6Nz7cPoVFR5ZRoZAfvq5FbR0rV4lPu8S+iwfZ\nG3uAYwmRmMwmAHxdihLkE0C94rUp6VZco/kiIgWYGmmRAqqoixddqrRjzsEfmX3wB9585L/YGe1s\nHctmskxZRF4+xcG4wxyMP2w5YRCuTocJKlqDIJ8aFHP1VfMsIiKAGmmRAq1+8Uc4GHeYHdF/8+uJ\nP2jj38rWkR6q2NR4DsYdJiL+CIcvHSX9/6ds2BvsqOZVmZpFa1DTp7ruOCgiIrelRlqkgOtSpR2R\nl0+y5tSfHLl0nNw22Opgb0dmVrbV1mc2m0nJSiMpI4nkrBTL474uRanmXYXqXpWpVMQfJztHq21T\nRETyJzXSIgWci70LvWt0Z1b4PE5dOWPrOLcwAGYrr9PV3gUPR3f8C5enmldlqntX1smCIiLyj6mR\nFhHKFyrHuEbv2TrGbfn4eHDx4hVbxxAREbmF7hQgIiIiIvIA1EiLiIiIiDyAHG+k9+7dS8+ePQE4\nffo03bt3p0ePHowePdqyzKJFi+jYsSNdu3Zl/fr1OR1JRERERORfy9FGetasWQwfPpzMzEwAPvzw\nQwYPHsy8efMwmUyEhoYSGxvL3LlzWbhwIbNmzWLSpEmW5UVEREREcqscbaTLlSvH9OnTLd8fOHCA\nunWv3oq4adOmhIWFsW/fPurUqYO9vT3u7u74+flx+PDhnIwlIiIiIvKv5Wgj3aJFC+zs/nenNLP5\nfw0jP/QAACAASURBVBexcnNzIykpieTkZDw8PCyPu7q6cuWKztAXERERkdztoV7+zmj8X9+enJyM\np6cn7u7uJCUl3fL4/fDx8bj3QnJfVEvrUj2tS/W0HtXSulRP61I9rUv1zHkPtZGuXr06O3bsoF69\nemzcuJEGDRoQGBjI5MmTycjIID09ncjISCpVqnRf69O1Za1D1+m1LtXTulRP61EtrUv1tC7V07pU\nz/9j776j47rLxP+/p89oRqPeuyXLsqqL4u4U0nsnIdkkQL4QYDnAsrDAYSFmf2yS5Xfg7H5/BNjN\n0tIIJDbBSZziJE5xjVWsakmWZKv3PjOafn9/jKzYJHFcRpqR9LzO0ZnxzHj03Ef33nnuZz4leM50\nQTKvhfT3vvc9fvSjH+HxeMjNzeWaa65BpVJx3333cc8996AoCt/+9rfR62VpXiGEEEIIEd5Uyqkd\nlxcYudIKDrlqDS7JZ3BJPoNHchlcks/gknwGl+QzeM7UIi0LsgghhBBCCHEepJAWQgghhBDiPEgh\nLYQQQgghxHmQQloIIYQQQojzIIW0EEIIIYQQ50EKaSHClMPpYQFPqiOEEIvCkdZhtv3uA0YnnaEO\nRYQhKaSFCENTDjff+v/28tTrzaEORQghlqyRCSf/+1Ij/WMOVCpVqMMRYUgKaSHCkNmoIzXezDtH\nevng6ECowxFCiCXH5/fzPy814HB5ueeKfGIiDaEOSYQhKaSFCENqtYqHbipCr1Pzx9eaGZ6YDnVI\nQgixpLy8v4Nj3ROUr0hga2lKqMMRYUoKaSHCVEqcmXuuyGfa5eWJlxrx+6W/tBBCzIeWrnF27jtO\nnNXAA9cWSLcO8YmkkBYijG0tTaF8RQLHuid4ef+JUIcjhBCLnsPp4YmXGgD40o1FmI26EEckwpkU\n0kKEMZVKxQPXFhBrNfC3fcc51j0e6pCEEGLRUhSFP77WzMikixs3ZZOfER3qkESYk0JaiDBnNur4\n8o1FAPzPzkYcTm+IIxJCiMVpb20fh5sGyUuP4sbN2aEORywAUkgLsQDkZ0Rzw8ZsRiadPPl6k8wv\nLYQQQdY3YueZN1swGbR8+cZCNGopkcSnk71EiAXipi3Z5KZZ+eDoIPvr+0MdjhBCLBoer5//3tmA\n2+PngWtWEB9lCnVIYoGQQlqIBUKjVvPlG4swGTQ8/UYLA6OOUIckhBCLwl/fb6dzwMaW0hTWrUwK\ndThiAZFCWogFJCHaxH1Xr8Dl8fHEy434/P5QhySEEAtac+cYrx/qJDHGxD1XLA91OGKBkUJaiAVm\nQ2EyGwqTaO+dZNfBzlCHI4QQC9a0y8v/vnwUVPClGwox6rWhDkksMFJIC7EA3XtVYLnanXuP09E/\nFepwhBBiQXr2zRZGJp1cvzGb3LSoUIcjFiAppIVYgMxGHV+8biU+v8ITLzfi8fpCHZIQQiwolc1D\n7KvrJys5kptkqjtxnqSQFmKBKsqJ5TNr0ugdtrP93fZQhyOEEAvGhM3FH19rQqdV86UbCtFqpBwS\n50f2HCEWsDsvyyMpNoLdh7to6hgLdThCCBH2FEXh9682YZv2cOeluaTGm0MdkljApJAWYgEz6DR8\n6YZCVCoVv32lkWmXrHoohBBnsq+un9q2EQqzY/jM2vRQhyMWOCmkhVjglqVauW5jFiOTLp5/py3U\n4QghRNgam3Lx3FvHMOg1fOHalahVqlCHJBY4KaSFWARu2pxNWryZd6p7pIuHEEJ8DEVReOr1Zhwu\nL5+9LI+4KGOoQxKLgBTSQiwCWo2aL1y3EpUK/vBqEy6PzOIhhBCnOnR0gCOtwxRkRnPJqtRQhyMW\nCSmkhVgklqVaueqiDAbHp3nxfZnFQwghTpq0u3l29zH0OjWfv7ZAunSIoJFCWohF5Jaty0iMMfHG\n4S7aeydDHY4QQoSFp3e3YJv2cPvFuSTGRIQ6HLGISCEtxCJi0Gn4wrUFKAr8/tWjeH3+UIckhBAh\nVdk8SEXTIHnpUVxeLrN0iOCSQlqIRWZFZgyXrk6jZ8jOy/tPhDocIYQImWmXl6d3twTGkUiXDjEH\npJAWYhG689JcYiIN7DrYwcCoI9ThCCFESPxt73EmbG6u35hFSpwsvCKCTwppIRYhk0HL5y5fjten\n8MybLSiKEuqQhBBiXnUN2nizopvEaBPXbcgMdThikZJCWohFau2KBAqzY6hvH6X62HCowxFCiHnj\nVxSeeqMZv6Jw71X56LSaUIckFikppIVYpFQqFfdemY9GreJPbx6TuaWFEEvG/rp+WrsnWJufQMmy\nuFCHIxYxKaSFWMRS4sxctS6DkUknrxzoCHU4Qggx5+xOD8+/04pep+ZzVywPdThikdOG4pfedttt\nWCwWANLT0/nKV77C97//fdRqNcuXL+fhhx8ORVhCLEo3bsrmYMMArx3qYHNJMkkyh6oQYhHb8W47\nUw4Pd1yaS6xVlgEXc2veW6TdbjcATz75JE8++SSPPPIIjz76KN/+9rd5+umn8fv9vPnmm/MdlhCL\nllGv5a7P5OH1KTy7+5gMPBRCLFon+id5p7qHlLgIrrooI9ThiCVg3gvppqYmHA4HDz74IJ///Oep\nqamhsbGR8vJyAC6++GIOHDgw32EJsahdVJDIyqwY6tpHONIqAw+FEIuPoig891YrCnDvlfloNdJ7\nVcy9ed/LjEYjDz74IL/97W/Ztm0b3/nOd05rITObzUxNTc13WEIsaicHHqpVKp7f04bPLyseCiEW\nl+pjw7R0jbMqL57C7NhQhyOWiHnvI52dnU1WVtbs/ejoaBobG2eft9vtWK3Ws3qvhITIOYlxKZJc\nBlc45jMhIZKrN2Tx6oETVLePce3G7Nnn/B4PA2/sxuuYDll8n6RrDt5TFxWFMTGBiOws9NHRc/Ab\nwlc47psLWajzqfj9TNQ3MN3VheLzo/j9KD4fygK8WD6bY10fE0385k1oTKbTHvf6/Ox47xBqtYov\n31Ya8r9LuJA8zL15L6S3b99OS0sLDz/8MAMDA9hsNjZv3swHH3zAunXreO+999iwYcNZvdfQkLRc\nB0NCQqTkMojCOZ9XrU3j7Younn71KMWZURj1gVPA6Ku7GN7+lxBHFwIqFebiEqybt2IuW4Vapwt1\nRHMqnPfNhSiU+XQPDjK5fy+T+/fhHR0JSQyh0v7bPxJ96WXE3nATar0egLcqu+kdtnPZmjSMaqkP\nQI73YDrTBcm8F9J33HEHP/jBD7jnnntQq9U89thjREdH86//+q94PB5yc3O55ppr5jssIZaEKIuB\nq9dlsHPfCV7/oIubt+Tgs9kY3fUSarOZlP/zEKjDq19hVJSJiYkgtpQrfrwTE3iGh3HU12Gvq8Ve\nV4s6wkzk+g1Ebd6CISsblUoVvN8pRBD4nU6mKg8zuW8v0y3NAKgMRqxbLsZcWARaLSq1GtTqwO0C\n24fP5lh3trUyvuctRne9jN/jIfGuz+Fy+3hp33EMeg03b86Zp2iFCFApC3gIv1xpBYdctQZXuOfT\n6fby/d8cwO3187OvbmJ65wuM7X6dhM/eTcxV4XcRO9f5dPX2MLlvL5MH9+ObmABAn5qGdfMWrBs2\noo1aPF0/wn3fXGjmI5+KojB9rIXJfXuZqjiM4nICYCpYSdSmLZhWraGzc4qRQTt+v4Lfr6DM3C40\nJpOO6WnPGV8TYdGzsjCOgcd+gmdslOx/e4Q3jzt54Z02btqczS1bl81TtOFPjvfgOVOLtBTSQg62\nIFsI+Xzjg06ee7uVW0ujKNj5azTR0WT/P4+GZdeG+cqn4vNhb6hncv9e7EeqUbxeUKsDXT82bVkU\nXT8Wwr65kMxlPj2jI0zu38fk/n14BgcA0MbFYd20hahNW/Cao2g80kdDdQ/2KfecxBCudHoNK9JU\nJOz+HeZVq/iZdxWKAj/76kYijAv7GA0mOd6DJ6y6dgghQu/S1Wm8eqgT9e6dKF4v8bfctuCLxAul\n0miwlJZhKS3DZ7MxdfgQE/v2Yq+twV5bg9psxrp+A9ZNWzFkZUnXDxF0fqcTW1Ulkwf242hqBEVB\npdcTuWEjUZu3YlpRwMiQg72HuznW0IjPp6DTayhZm0ZOfjwarRq1WoVKpUKtXnj7Z0ysmbFR+xlf\n090xRvXBTuqPe1ieeymZR94mNi2Bi66WIlqEhhTSQixBep2G2xOnSKzpwJ6YQeS6sxvgu1RoLBai\nL7uc6Msux9XTHRjUdWA/42+/xfjbb6FPS8e6afOi6/oh5p/i9+M42sjkgX3YqipRZhYtM+bmYd28\nhcjydaiMJk4cG6buTzX0dgW6H0XFmChem0ZBSTJ6w+L4KE9IiEStPfMFQFyihZWlKTzzm0Oc8GSR\nqtZxzfAHrCq7ZZ6iFOJ0i+PoE0KcE5/NRvLBV3GrNPwl8iKWu3xYTOE1yDBcGNLSSbjzbuJvuxN7\nfR2T+/diO1LN8PN/Znj780QUFmPdsAHL6rWoDYZQhysWCFd3F5MH9jN56AC+8XEAdAkJRG7YhHXD\nJvRJSbicHupq+qiv7GFq0gVAenYMpeXpZObGLtlvRfQGLavWZ3DwnXYOJW5lc//b2F59CdMdnw11\naGIJkkJaiCVo8E/P4J+aZHLdlQyMWthT1c2NMtr9jFQaDZayVVjKVuGz2Zj84CCT+/fhqK/FUV+L\nymDAsnoN1g2biFhZiEqjCXXIIsx4J8aZOnSQyQP7cXV1AqCOiCDqkkuxbtiMMS8PlUrF2LCdA6+3\n0FLfj9fjR6tTU7g6lZK1acTGm0O8FeEhvzSZfe+0Y7dkoMQnM/b6q1hWrcaUtzzUoYklRgppIZaY\nib3vMXXoAIbsHEr/4Q5M/32Ityq7uWZ9JjqtFH9nQ2OxEPOZK4j5zBW4+/uYPHiAqVN+NFYrkevW\nY92wSabSW+L8Lhe2I9VMHtiHo6EeFAU0GsyrVmPduAlzaRlqnR5FUehsG6Wuspuu42MAWKwGirek\nUViWgkH6/56m8tgwffhJR8345juJ2flL+n/7BJk/2oYmIiLU4YklRAppIZYQZ2cHg888hToigtSH\nvoYuwsClq1N59WAn++v7uWRVWqhDXHD0ySnE33IbcTffirO9jcmD+5k6/AHjb+5m/M3d6JKTsa7f\nSOSGjegTEkMdrpgHiteLvbGBqcOHsFdX4XcGpqwz5izDunETkRetRxMZmAXA7fLSXNFNXWUPE2OB\nOZRTM6IoKU8ne3kc6jCb1z0c+BWF1w51MqJSsUyvob7VwVWXX8f0m6/Q/9v/IfUfvxGYR1uIeSCF\ntBBLhM9up+/Xj6N4PKR85R/RJSQAcMXaDN74oIvXP+hia1kqamk9PS8qlQpTbh6m3DwS77oHe0M9\nUwf3YztSzcjf/srI3/4aGEC2YRORF61DY7GEOmQRRIrfz3RLM1MfHGKq8jB+e2D2CW1cHNGXX4l1\n4yb0ySmzr58Yc1BX2UNTbT8etw+NRkVBSTIl5WnEJ8myzp9EURT++l47/aMOtpSkcFFyJHt3t9Jm\nLSFv5XHsNUcYfXkncTfJ4EMxP6SQFmIJ8Hvc9P7yv/AMDRJ73Q1YylbNPhcTaWBjUTJ76/p4+o0W\nrl6XQVKMfDV6IVRa7Yf9qaensVVVMHXwII6mRpxtrQw+9wwRKwuJvGgdllVr0Jil3+tCpCgK0+1t\ngeL58Af4JgKDBjVRUURffiWR69ZjXJY727VHURR6OsaoPdxDR1tgWW+zRc/qDZkUrkrBFKEP2bYs\nBG6Pj9++cpTDTYPERxm5aUs2sZEGGqp7OVrbz8rPPoB28GeM7HwRfWoakeUXhTpksQTIgixCJm0P\nsnDLp+L30/c/v8ZWcRhL+TpSvvyVj3ztOTjm4NFnqpiwBabeKsqO4dLV6axaHocmxF+Rhls+L4Rn\nbIypDw4y9cEhXB0nAg9qNJiLiom8aB3mstVz2r9zMeUyVBRFwd3TzdQHh7BXfoBrYBAgsMR8eTmR\nF63HtKLgtGPM4/HRUj9AXWU3Y8MOAJJSrZSUp7FsRQIajXRDgE/eP0cnnbxzpJf3a3qZsLtZnh7F\nP95WgnXmwqP7xCgvPVdLSnoUV2+Noftnj4HPS9o3v03EysL53oywIcd78MjKhuKM5GALrnDKp+L3\nM/js00y88zam/BWk/dM/o9Z9fKuXx+unsnmQPdU9HOsOzFUbE2ngkrJUtpalEhMZmqndwimfweQe\nHMRW8QFThz+YncFBpdUSUVwSaKkuW4XaaArq71ysuZxriqLg6urEVlWBrbISd18vAGqjEXPZaiLX\nr8dcWIxKe/qXvFMTTuqrejha04fL6UWtVpG7MoGStekkpVpDsSlh7dT9068oNBwfZU9VDzVtwygK\nRBi0XLIqlVu2LkOnPf3i47Ud9RxvGeaSa/PJ1o/T81+/AI2WjO9+H2N2dgi2JvTkeA8eKaTFGcnB\nFlzhkk/F72fwmaeYeHcPhowM0r/z/bPuQtA9aGPPkR4O1PfjdPtQq1Sszo/nstVprMyKmddZKMIl\nn3PJ3d/P1ExR7e7pBkCl0xFRVIxl1RrMZWVoIy+88FoKuQwWxe/HebwdW2UFtqpKPMNDQODvYi4u\nJXL9erI+s4XRydOX51YUhb6uCeoquzneEigAjRE6ilalUrQmFbNF5hr/JAkJkbR3jLC3to93jvQw\nNB4YpJmdHMllq9NYV5iEQffxMwvZplz8+X8/AOCuBy9Caamj779/hdpkIu1b38G0bNm8bUe4kOM9\neKSQFmckB1twhUM+FZ+Pgaf/yOT772HIyCT9n//lvAa3Tbu8HGocYE91D12DNgCSYiO4bFUqm0tT\nMM/DlFzhkM/55OrtDbRUVxzG3dsTeFClwrQ8H8uqNVhWr5kdKHqullouz5Xi8wUGDFZVYKuqmu3z\nrDIYsZSVYVlTjrm4BLXRCJyeT6/XR2vjIHUVPQzPHCvxSRZKytPJW5mAVqaW/ESKotDWM8n+owPs\nPdKL1+dHp1WzvjCJy1ankZNydheRjTW9vPtqC1m5sVx7RwlTBw/Q/7snUBsMpH7jn4jIXzHHWxJe\n5HgPHimkxRnJwRZcoc6n3+mk739+jb22BkNmFunf/u4FzxChKAptvZPsqerhcNPg7AfdupWJfGZN\n+ll/0J2PUOczlNwD/diqq7BVV+FsbwvMQQwYMjIwzxTVhozMs/6GYCnn8pP4HHYc9fXYao9gr6/D\nbwsUwWqzOXDhsnYtESsLP7ZLVEJCJCfah2mo7qXhSC9OhweVCnLyEygtTyM5PUrmED+Dkxfqb1f1\n0D10yoX66jQ2lySf84W6oii89FwNPR3jXHbdCgpKU5iqOEzfE79BpVaT/OCXiCxfNxebEpbkeA8e\nKaTFGcnBFlyhzKdnZITex/8vrs4OIoqKSf3qPwa9n+2Uw83euj7ere5lcDww723WzFev61cmYdAH\nt+VN9s8A78Q4tpoj2KqqmG5qRPF6AdDGxmIuLiGiuJSIlYVoTJ/895ZcBootT38fttoa7DVHmG49\nBn4/AJroaCyr1xC5phxT/oozrk450DtJS90AjTW9+P0KBqOWwlUpFK1OIzLKOF+bs+AoisLxvine\nPdLDB0cHcXk+7Dp262XLSYkyXNDFx+T4NM//vgK/X+GzXywnKiYCe10tvb/5FYrLSdwttxF7/Y1L\n4gJHjvfgkUJanJEcbMEVqnza62rp+9//xm+3Y916MUn33v+RwU/B5FcUGo+Psqe6hyOtgb6gJoOG\n9YXJXFyWQlZSZFA+rGT//Cjf9DSO+jps1VWBVlRHYM5iNBpMuXmYS0oxF5eiT08/7W+wVHPps9lw\nNB/F0diIo7Eez1CgvzMqFcacHMwlZZjLVn1q677P56etaYi6ym4GewN5jImPoLQ8neVFSeg+of+u\nAIfTw4GGAd490jvb+hxnNbK1LIWtpYHBzMHaP481DvDmzqMkpkRyyz+sRqNR4+ruouf//ife0RHM\nq1aT/PkHF/1c7kv1eJ8LUkiLM5KDLbjmO59+l4uRF3cwtvt1VFotCZ/7B6IuvmReW1xGJ528V9PL\n+7V9jE25AMhMtLC1LJUNRUkX1Jda9s8zOzkozl5Xi72+LjCt3sxpXWO1ErGiANOKAiJWFJBaks/w\nsC20Ac8Dv8eNs7UVe2MDjqONp+VEbTQSUVSMubQMc3Ep2qioT30/h91N45FeGqp7ccxMEZmVF8fW\ny5djib6wFtTFTFEUWnsmePdILxVNg7i9fjRqFauWx3NJWSqF2bGo1XNzoffWS0dpaRhg1foMNl6W\nC4B3YoK+J37DdNNRtLGxJH/xS0QUrAzK7wtHcu4MHimkxRnJwRZc85lPx9FGBp78A56hQXRJSaR8\n+asYs7Ln5Xd/HL9fof74KO/X9HKkdRifX0GnVbN2RQKXlKWSnxF9zkWH7J/nxjs5iaOhHnt9HY6m\no7MD5gB00dEYl+djWlGAKXc5+tTUM3ZfWCi8ExM421uZbm1luq0V14njs11fTrbSR6wsJKKwCGN2\nzllv8/DAFLUVPbQ2DuDzKegNGgpKUihem0ZUjEn2zU9gm/awv66Pd2t66RsJzJudGGPi4rJUNpek\nEGX++Ck4g5lPt8vLC3+oZGJsmqtuKSS3IBEIXHiO7nqZkb/9FRQF6+atJNx516JsnZb9M3ikkBZn\nJAdbcM1HPl3dXQy98DyO+lpQqYi56hribr4VtT58VkabsLvZX9/HezV9DIz+3YdpcTJRZzkNmOyf\n509RFDyDAziamphubsJ5rBnP2Njs8yq9HmNWNobsHIw5ORizl6FLSAjrFla/y4WrpxtXRwfT7a04\nW1vxDA1++AKVCkNGJhErCogoLMK0PH92lo2zen+/n+MtI9RVdNM3M596VIyJkvI0VhQnozd82F1K\n9s0P+f0KDSdG2VfXR1XLEF6fglajYk1+4CJ6RVYM6k/Zr4Kdz5EhGzuerALg9vvXEpvw4fSf0+3t\nDD71e1xdXagjzMRecy3Rl1+J2rB4pieU/TN4pJAWZyQHW3DNVT4Vvx97fS3jb72Jo6EeANOKAhLu\nvDusFxxQFIVj3RO8V9PL4aZBPF4/apWKsrw4NpekUJobh/YMK7vJ/hk88fEWeutbcTQ34TzehvP4\n8cAUe6d8DKjNZgzpGehT0zCkpqJPCfxorNZ5LbD9LheewUHcA324+/tx93Tj7OrEMzBwerwRERiX\n5WHKy8OUm4cxZ9k5Fc4nOac9HK3po76qB9tkoHtSRk4MJeXpZC6L/dhtl30TeoZs7Kvv50BD/+zK\nqClxEVxSlsrG4mQiz2HZ87nIZ1vTIG+82EhUjInbH1iD4ZRuZorPx/hbuxl5+SX8DjuayEiitl6C\ndevF6BMSgxpHKMj+GTxSSIszkoMtuIKVz0DLWw/u3h4czUex19XOTs1lWp5P7HU3EFFcEtath3/P\n4fRwqHGAd2t66RwIbIvZqGVdYRKbipJZlvrRYk32z+D5uFz6XS5cnR04j7fjPHEc54kTgRbev/to\nUOn16OLi0cbFo4uPRxsTg8YSiSYyEo3FgsYSidpoQK3To9LrUel0qNRqFEUBRUHx+cDvx+924Xc4\n8Dsc+BwO/HY73olxvGNjeMfH8I6N4RkZwTs68pH41SYThozMmZ8MjMty0SenfGTJ+3MxOmSnrrKb\nlvoBvF4/Wp2aFSXJlKxJIyb+zAsYLdV9c8rh5lDjAPvq++noD2y/2ahl3cokNpUksyzl/C665iqf\nB99pp/pgJ5m5sVx3x0fPmT6Hg7HdrzP+1m78jsC3Z4bsHMyFRRjzlqNPTEIXHz+ng7fnwlLdP+eC\nFNLijORgC65g5NM7Mc6JH34fv9M5+5gmOhrLqjVEXXwJxsysCw0z5DoHpthf38/BxgEm7YGWrKQY\nExuLk9lYlExCdGAaN9k/g+dsc+l3uXAP9OPu7cHd24u7vw/P8DCekWH8dvvZ/0K1enZqubOmUqGN\njkGXlIQ+KRl9UjK65GQMKalo4+ODcuGoKAodrSPUVfbQfSLQ1SUyykjxmjRWliWf1mp5Jktp3/R4\nfdS1B7pu1LaN4PMrqFUqSpbFsrkkhbK8+I8s232u5iqffr/Crudr6To+xtpNWay7OOfjX+d2Y6us\nYGLf+0wfawGfb/Y5lcFI5g9/jCE1NejxzZWltH/OtTMV0gvr8kqIJcLV2Ynf6cRUsJLIi9ZjzMk5\np4U3FoLMpEgykyK587JcGk+Msb++n+qWIV58/zgvvn+cZalWLipI5KpNOSyerV4Y1AYDxsysj71g\n801P4x0Zxjs+hm/Khm9qCp8t8ON3uVA8HvxuD4rXg+LxBAb2qdWoNBpUajUqnQ51hBlNRATqmR9t\nVBTa6Bi0MbFoo6LmbACk2+WlqbafuspuJmeWn07NjKa0PI2svPjTZpAQ4PH6aTgxyuGjgxxpHWLa\nFSgsMxItbC5OZn1R8icOHAwnarWKK24q5IU/VFK5v4O4RPPs4MPTXqfXY924CevGTfidThwtTbg6\nO5lubsJxtBFn27EFVUiL+SGFtBBh6OTgqaitl2BdvyHE0cwtjVpNybI4SpbFMe3yUtE8yMGGAZo6\nx2jvneTPb7eSm2qlvCCR8hWJxMliFyGlMZnQpGdgSM8IdShnbXzUQX1lD011/XjcPjRaNQWlyZSW\npxOXuPhma7gQXp+fxhNjHD46QNWxYaZdgdlP4qxGLilLY0NREplJn9w6F66MJh3X3l7MX5+u5q2X\njhJh1pOSEf2Jr1cbjVhKV2EpXYUjbzmOo40fzj8uxCmkkBYiDLlnTti6hIQQRzK/TAYtW0tT2Vqa\nyqTdTVXLEDXtI9S2DtN2SlFdlhdPWV486QnmRdVKL4JHURS6T4xRW9FNZ9soAOZIPWs2ZrKyLAXT\nOQyCW+zsTg917SPUtI5Q1zaCY6Z4jrUauLgshYsKkshJCc4CS6EUl2jh6luLeOUvtby6vZ5b71tD\nTFzEp/4/3czAQ8+wFNLio6SQFiIMnWyRXgwjx8+X1azn0tVp3HlVAW0nRqhqGeJw0yBNnWO0sBr4\nYQAAIABJREFU9U6y4712Yq0GSmdas/Mzoy9o4RexOHjcPprr+6mv7GFsZg7j5DQrJeXp5OTHoznD\nDDFLhc/vp6PfxtGOUeraR2ntnsA/M1wq1mpgc0kKF61MZFmq9VOnrFtoMnJiufTaFezZ1cwrf6nl\ntvvXEPEp3VO0MTGotFrcg4NnfJ1YmqSQFiIMeYaGUBuNqBfhIgHn42RRfenqNGzTHurbR6hpG6G+\nfYR3jvTyzpFeVAT6bq7IjKEgM5plqdaznqtaLHyT49PUV/VytKYPt8uLWq0ivyiJkvI0ElOsoQ4v\npFxuH52DU7T1TNLUOUZL1zhOd6C/swpYlmalLHfpfMtTUJrC1ISTin0dvPpCHTd9bhU6/Sf3y1ep\n1Wjj4qVFWnwsKaSFCDOKouAZHkKfmLjoP9DOh8WkY0NRMhuKkvH5/bT1THK0Y4zmzjFaeybpHLSx\nu6ILCBTgmUkWMhMjSU80Ex9lIjbSQLTFIAPLFgFFUejrmqC2opsTx4ZRFDBF6CjfnEXR6lQiltCF\nlKIo2J1ehiemGZlwMjTupGtwihP9U/SPODh1eq6kGBMbCmMoyAr8WJdgN5fyLdlMTbporutn998a\nufq2ojN+W6FLSMAz0I/P4UAT8endQcTSIYW0EGHGNzmJ4nKhi1+63TrOlkatJj8jmvyMaCAHj9dH\ne+8kzZ3jdAxM0TkwRX37KPXto6f9P7VKRUyknmiLAYtJhyVCR6RJjyVCh8WkI3LmMYtJR2SEngij\ndtF9xb2Qeb0+jjUMUlfZzchgYDq+hGQLJeXp5BUkornAadjCgaIoON0+bNMephwebNNuphwn73uY\ncrhnn5ua9jBuc+Fy+z7yPka9huUZ0WQnR5KVHMmKjGhirTJgV6VScck1+dinXHS0jfDOrmY+c0PB\nJzZenNpPWrMIph8VwSOFtBBh5uTXh7rEpTXQMBh0Wg0rMmNYkRkz+5ht2kPXoI2eIRujUy5GJ52M\nTroYmXRyon8Kn//Tp9JXqcBs1BE5U1wHCmwdZpMOs1FHhEFLhHHmx6DDbNRiMmqJMGjPuGqjODe2\nKRcNVT00HunDOe1BpYLcggRKytNJTpvflRfPll9RmHZ5sTu92Kc9OJxe7M4Pb+1OL47ZWy+2ac9s\ngez1ffoc3CoVRJp0JESZiI8yEh9lJG7mNi3BQmKMSS4CP4FGo+aa24p46blaWhoG0Bs0bLly+cfu\nR/qZgd+eocFFMY+/CB4ppIUIMycHGkqLdHBYTDpWZsWwMivmI8+dbPWbmvZgO6XV79RixjbtweZw\nB14z7aF/1PH3i/6dkUGnOaXI1mI26jAZtJhnHjPqtRj1Ggx6DUa9ZvbfJ+8bdIH7S7UriqIoDPRO\nUlfRQ3vzEH6/gtGkZfXGTIpXp2KZo9ZVRVFwe/043T6cLi9Ot4/pmVun28u024dWp2Fo1IHT7cXp\nCjzu+Luiedrl5VxWPTPoNUSadGQkWmYv3CJP+Xbk5LclkRF6LCadfFtygXR6Ldd/toQXnzlCfVUv\neqOW9Rcv++jrTrZIyxR44u9IIS1EmPEs0anvQkGlUmEyaDEZtCTOrKT4afyK8mHLocODw/Vha6LD\n6cHhOnn/ZFEVKKjGJl30uuznVFSdSq9TY9Rp/q7w1qLXqdFr1ei0msCtTo1Oo0av06DTBp7TawP3\n44fsTNtd6HQatBoVWrUajUaFRq1Cc8p9rUYdeEyjQq1ShaSl1+fz09Y0RG1FN0N9gdXZouMiyC9L\nISMvDlQw6fYxOhD4VsHr8+P1Kfhmbt1eH26P/6O3Hh9u7yc//mFR7JudyeJc6XVqzEYdMVYD6QYz\nEUYdZlPgIirCePrtyQuqk4/JNxjzz2DUceNdpbz4zBGq9neiN2hZvT7ztNfoTmmRFuJUUkgLEWZm\nW6SlkA5LapVqtnsHsef2f/2KgnOm0LbPFNpOtxeX2zfT0hlo1XS6fbg8vtnWUJfHx7TbN/M6L5MO\nNy6377yL8nN1sqjWqtWoVIELkNlbABWzraLqmQcCz4Nq5r5CYKlmRQEF5cP7ioL/lFuN30+MD+L8\noCPw2nFgAIWpERu73z4Gbx8L+jYGLkbUGPVaYq2GwAWL4cMLF9PJW8PMNwYGDUkJkbin3ae9NsKg\nveClssX8i7AYuPHuMv76dDUH97RjMGgpXPXhKoa6+JOFtLRIi9NJIS1EmPEMDYFKhS4uPtShiCBT\nq1REGHVEGHVc6F9XURTcHj8urw/PTMuqx+vH4/Xj9vrxzLS0ek62vnr96A06xiemcXt9eL0KPr8f\nn1/B5/vw/slWXZ9fmXlu5vGZ+4FCOPD7TxbCCoDCbAvubHHsB0UJ/J+Thbd65kerVaNSq1DPPK73\n+rE4vRg9gSnZ/CqYjtDhidSjN2rJmWkl12rUaDUqNBp14P7JFnTNKc+p1Rh0M630ukCLvF4XaKXX\naz96q9Wqz6t7REJCJENDUxf4lxThIjLKyI13l/Li00d497UW9AYteSsDXTrURiMaq1VapMVHSCEt\nRJjxDA+hjY1FpZXDU3wylUqFYaaLx9kKt8LP7/dzvGWY2ooe+rsnAIiONVFSns6K4iR0ejkGxPyK\niTNzw12l7PzTEd566Sg6nYasvDgg0E/aebwdxedDpTn7404sbmFxllIUhW3bttHc3Ixer+ff//3f\nycjICHVYQsw7v9uNd2wMU8HKUIcixJxxTns4WtNHfVUPtkkXAJnLYikpTyMjJzYsZ98QS0dCciTX\n3VHCy3+u5fUXG7jujhLSs2PQJSTgbGvFOzoqXe/ErLAopN98803cbjfPPfccNTU1PProo/zqV78K\ndVhCzDvP8DAg/aPF4jQyZKOuoodjDQN4vX60OjXFa1IpXptOTJwsciHCR0pGNFffVsyr2+t4dXsd\nN9xVNjtzh3toUM7RYlZYFNKVlZVs3boVgLKyMurr60MckRCh4RkO9L/TJ8jUd2Jx8PsVOtpGqKvo\npqdjHAj0RS1Zm0ZBaQoGY1h8DAnxEZnLYrnq5iLeeLGBXc/Xcl1ZYGSDDDgUpwqLM5jNZiMyMnL2\n31qtFr/fj1otI59F+FMUhaG/PIdncACAIb0Wt9t7Xu/lHR0BPhwhLsRC5XJ6aaoNdN+YHHcCkJYV\nTUl5Olm5cUt2XmyxsOTkx3PFTYXUHO5CFx+YInNs92vYa49c8HtrrFYS77kPtU53we8lQicsCmmL\nxYLdbp/999kW0QkJkZ/6GnF2JJfnz+/xcKLiAzxjYwDYP+X1n0ZtNJJaXoJR/iazZP8MnrnO5fCg\njcN7j3PkcBcetw+tVs2aDZlctCWHpBTrnP7uUJB9M7jCMZ8JCZFs2LoMr91O1R+tePr78fT3X/D7\nakwmYv7PA+ij526bwzGfi01YFNJr1qxhz549XHPNNRw5coT8/Pyz+n/hNPp8IQu3kfwLUfaj/y9+\njweA+HgLw8O2834vlVbLiEfFjkffYkVxMqs3ZH76f1rEZP8MnrnKpaIodB0fpa6ih872UQDMkQbW\nbMykcFUqRlOgxW2x/R1l3wyuhZDP7P/4xey5/kKpdTomPBqYo21eCPlcKM50QRIWhfSVV17Jvn37\nuPvuuwF49NFHQxyREOdGpdWimZmuThsRgcbku6D3U3t9+Lx+Dr7TjlqtomydzGIjwo/H7aW5foC6\nim7GR6cBSE63UlqeTk5+vHTPE4vOqed6ISBMCmmVSsVPfvKTUIchRNjQajXceHcZLz5dzf6329Dp\nNaetsiVEKE2OT1Nf2cPR2j7cLh9qjYr84iRKy9NJSJavkoUQS0dYFNJCiI+yRpsCxfQzgVW2tDoN\n+UVJoQ5LLFGKotDbOU5tRTcnjgUGxUaY9ZRdlEHh6lQizPoQRyiEEPNPCmkhwlhMvJkb7y7lb8/W\n8PbLR9Hp1OTky4weYv54PT5aGgeoq+hhdCgwlDYxJZKS8nRyCxLQaKT7hhBi6ZJCWogwF58UyfWf\nLeGl52p442+NXHdHCRk5saEOSyxytkkn9VW9NB7pxeX0olaryFuZSEl5GkmpVll9UAghkEJaiAUh\nOS2Ka28vYdfztby2vZ4b7iolJSM61GGJRUZRFPp7Jqmr6Ka9eQhFAaNJy5qNmRStScMSaQh1iEII\nEVakkBZigUjPjuHqW4t5bUc9u16o46bPrZKBXSIofF4/rUcHqavsZqg/MHVjXIKZkvJ0lhcmotVp\nQhyhEEKEJymkhVhAsvLiuPzGlby5s5GX/1LLbfetJiomItRhiQXKYXPRUN1Lw5Fepu0eVKrASm6l\n5emkZERJ9w0hhPgUUkgLscDkrUzE5fTw3uvHePnPtdx63xqZMUGck8G+Seoqemg9Oojfr6A3aClb\nl0HxmlSs0aZQhyeEEAuGFNJCLEBFq9OwT7mp3N/BK3+p5eZ7VqE3yOEsPpnP56ehuoe9e1oZ6JkE\nICYugpLyNPKLktHppfuGEEKcK/nkFWKBumhrNg67m6M1fbz+1wauu7NEpiITHzHtcNN4pI+G6h7s\nU24AsnJjKSlPJz07RrpvCCHEBZBCWogFSqVScfHVy3HY3XS0jrDnlSYuv3GlFEYCgJFBG7UV3Rxr\nGMDnU9DpNazbmkPuygSiY6VfvRBCBIMU0kIsYGq1mitvLuSl52o41jiINcbEuq05oQ5LhIjfr3Di\n2DB1lT30do4DYI02UrI2nYLSZNLSYxgamgpxlEIIsXhIIS3EAqfTabj29mJ2PFlF5b4OYuPN5K1M\nDHVYYh65nB6O1vRTX9XD1IQTCEyXWFKeRlZunHxLIYQQc0QKaSEWAVOEnmtvL2HHU1W8/UoT1mgj\niSnWUIcl5tjYiJ26ih6a6/vxevxotWoKV6VQUp5ObLw51OEJIcSiJ4W0EItEbIKZK28qZNcLdby6\nvZ7bH1grK9EtQoqi0Nk+Sl1FN13HxwCwWA0Ub0ljZWkKRpMuxBEKIcTSIYW0EItIVl4cGy/L5cCe\nNl7bXs/N965CJ6vSLQpul5fmun7qKnuYGJsGICUjitLydLKXx6FWy4wtQggx36SQFmKRKVuXztiw\nnaa6ft55tZkrZCaPBW1ibJq6ym6aavvxuH1oNCoKSpIpKU8jPkmWiBdCiFCSQlqIRSYwLV4+46MO\nWhsHSUmLonhtWqjDEudAURR6Osaoreiho3UEgAiLntXrMyhcnYopQlayFEKIcCCFtBCLkEYbmBbv\n+d9Xsu+tVhJTI2Xw4QLg8fg41jBAbUU3Y8MOAJJSrZSUp7FsRYIsuCOEEGFGCmkhFimL1cgVN63k\n5T/X8saLjdz5hbUYjDIQLRxNTTipr+rhaE0fLqcXtVrF8sJESsrTSUqVCyAhhAhXUkgLsYhl5MSy\ndnMWlfs6eP+NY1xxU2GoQxIzFEWhr3uCuopujrcMoyhgjNCxdlMWRatTMcuMK0IIEfakkBZikSvf\nnEX38TGONQ6SmRtHflFSqENa0rxeH62Ng9RV9jA8YAMgPslCSXk6eSsT0GpllhUhhFgopJAWYpFT\nq9VcfuNK/vK7w7z/Rgsp6VFERhlDHdaSY59y0VDdS8ORXpwODyoVLFuRQGl5GsnpUTKzihBCLEBS\nSAuxBETFmNhyxXLeebWZd19r5vrPlkrhNk8GeiepreimvWkIv1/BYNSyekMGRavT5IJGCCEWOCmk\nhVgiCkqTaWsapGumm4d08Zg7Pp+f9uYhaiu6GeydAiAmPoLS8nSWFyXJIjlCCLFISCEtxBJxcn7p\nP//2MPvebCUjJ0bmIw4yh93N0SO91Ff34rC5AcjOi6OkPJ20rGj5FkAIIRYZKaSFWEKs0SbWbc1h\n/9ttHHi7jc/csDLUIS0KwwNT1Fb00No4gM+noDdoKC1Pp3htGlExplCHJ4QQYo5IIS3EElNSnkZL\nwwDN9QMUr02ThVrOk9/v53jLCHUV3fR1TwCBvugl5WmsKE5Gb5DTqxBCLHZyphdiiVGr1Wz6TC47\n/1TD/rfauPneVdLl4Bw4pz0cremjvqoH26QLgIycGErK08lcFiu5FEKIJUQKaSGWoLSsGLLz4jjR\nOsLxlmGWrUgIdUhhb3TITl1lNy31A3i9frQ6NUVrUilZm0ZMnDnU4QkhhAgBKaS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,6,1), end=datetime.datetime(2014,6,2), freq='5Min')\n", "\n", "ephem_abq = pvlib.solarposition.get_solarposition(times.tz_localize(abq.tz), abq.latitude, abq.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_abq['apparent_zenith'], ephem_abq['azimuth'],\n", " axis_tilt=20, axis_azimuth=180, max_angle=45,\n", " backtrack=True, gcr=.3)\n", "tracker_data.plot()\n", "plt.ylim(-50,300)\n", "plt.title('June 1, Albuquerque, 20 deg S-Tilted Single-Axis, with backtracking')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### sketch of automated tests" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "test solar noon" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
010.090.00.00.0
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 10.0 90.0 0.0 0.0" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([10])\n", "apparent_azimuth = pd.Series([180])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
00.090.060.0-60.0
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 0.0 90.0 60.0 -60.0" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([60])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=180, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
00.090.060.060.0
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 0.0 90.0 60.0 60.0" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([60])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test max" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
015.090.045.045.0
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 15.0 90.0 45.0 45.0" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([60])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=45,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test backtrack bool" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
08.537736e-0790.080.080.0
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 8.537736e-07 90.0 80.0 80.0" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([80])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=False, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
052.57166690.027.42833427.428334
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 52.571666 90.0 27.428334 27.428334" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([80])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test axis_tilt" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
07.286245142.657335.987415-20.88121
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 7.286245 142.6573 35.987415 -20.88121" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([135])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=30, axis_azimuth=180, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
047.6632250.96969542.51521931.665508
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aoisurface_azimuthsurface_tilttracker_theta
030.0180.00.00.0
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 30.0 180.0 0.0 0.0" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=90, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
00.0180.030.030.0
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 0.0 180.0 30.0 30.0" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([180])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=90, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
00.0180.030.030.0
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 0.0 180.0 30.0 30.0" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([180])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=90, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
028.02432180.011.170229-11.170229
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 28.024321 80.0 11.170229 -11.170229" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([150])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=170, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
029.498704260.05.7251055.725105
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 29.498704 260.0 5.725105 5.725105" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([180])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=170, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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aoisurface_azimuthsurface_tilttracker_theta
010.090.00.00.0
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" ], "text/plain": [ " aoi surface_azimuth surface_tilt tracker_theta\n", "0 10.0 90.0 0.0 0.0" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([10])\n", "apparent_azimuth = pd.Series([180])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is supposed to fail..." ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "ename": "ValueError", "evalue": "apparent_azimuth.index and apparent_zenith.index must match.", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mAssertionError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m/Users/holmgren/git_repos/pvlib-python/pvlib/tracking.py\u001b[0m in \u001b[0;36msingleaxis\u001b[0;34m(apparent_zenith, apparent_azimuth, axis_tilt, axis_azimuth, max_angle, backtrack, gcr)\u001b[0m\n\u001b[1;32m 274\u001b[0m pd.util.testing.assert_index_equal(apparent_azimuth.index,\n\u001b[0;32m--> 275\u001b[0;31m apparent_zenith.index)\n\u001b[0m\u001b[1;32m 276\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mAssertionError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/Users/holmgren/miniconda3/envs/pvlib35/lib/python3.5/site-packages/pandas/util/testing.py\u001b[0m in \u001b[0;36massert_index_equal\u001b[0;34m(left, right, exact, check_names, check_less_precise, check_exact, obj)\u001b[0m\n\u001b[1;32m 703\u001b[0m \u001b[0;34m'{0}, {1}'\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mleft\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mleft\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 704\u001b[0;31m '{0}, {1}'.format(len(right), right))\n\u001b[0m\u001b[1;32m 705\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/Users/holmgren/miniconda3/envs/pvlib35/lib/python3.5/site-packages/pandas/util/testing.py\u001b[0m in \u001b[0;36mraise_assert_detail\u001b[0;34m(obj, message, left, right)\u001b[0m\n\u001b[1;32m 879\u001b[0m [right]: {3}\"\"\".format(obj, message, left, right)\n\u001b[0;32m--> 880\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mAssertionError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 881\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mAssertionError\u001b[0m: Index are different\n\nIndex length are different\n[left]: 2, RangeIndex(start=0, stop=2, step=1)\n[right]: 1, RangeIndex(start=0, stop=1, step=1)", "\nDuring handling of the above exception, another exception occurred:\n", "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 3\u001b[0m tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n\u001b[1;32m 4\u001b[0m \u001b[0maxis_tilt\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0maxis_azimuth\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmax_angle\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m90\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 5\u001b[0;31m backtrack=True, gcr=2.0/7.0)\n\u001b[0m\u001b[1;32m 6\u001b[0m \u001b[0mtracker_data\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/Users/holmgren/git_repos/pvlib-python/pvlib/tracking.py\u001b[0m in \u001b[0;36msingleaxis\u001b[0;34m(apparent_zenith, apparent_azimuth, axis_tilt, axis_azimuth, max_angle, backtrack, gcr)\u001b[0m\n\u001b[1;32m 276\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mAssertionError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 277\u001b[0m raise ValueError('apparent_azimuth.index and ' +\n\u001b[0;32m--> 278\u001b[0;31m 'apparent_zenith.index must match.')\n\u001b[0m\u001b[1;32m 279\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 280\u001b[0m \u001b[0mtimes\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mapparent_azimuth\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mindex\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mValueError\u001b[0m: apparent_azimuth.index and apparent_zenith.index must match." ] } ], "source": [ "apparent_zenith = pd.Series([10])\n", "apparent_azimuth = pd.Series([180,90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }