{ "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 requires pvlib >= 0.6.0.\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, August 2018.\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": {}, "outputs": [], "source": [ "# plotting modules\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\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": {}, "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": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Location: \n", " name: Tucson\n", " latitude: 32.2\n", " longitude: -111\n", " altitude: 700\n", " tz: US/Arizona\n", "Location: \n", " name: Johannesburg\n", " latitude: -26.2044\n", " longitude: 28.0456\n", " altitude: 1753\n", " tz: Africa/Johannesburg\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": {}, "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": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function singleaxis in module pvlib.tracking:\n", "\n", "singleaxis(apparent_zenith, apparent_azimuth, axis_tilt=0, axis_azimuth=0, max_angle=90, backtrack=True, gcr=0.2857142857142857)\n", " Determine the rotation angle of a single axis tracker when given a\n", " particular sun zenith and azimuth angle. See [1]_ for details about\n", " the equations.\n", " Backtracking may be specified, and if so, a ground coverage\n", " ratio is required.\n", " \n", " Rotation angle is determined in a panel-oriented coordinate system.\n", " The tracker azimuth axis_azimuth defines the positive y-axis; the\n", " positive x-axis is 90 degress clockwise from the y-axis and parallel\n", " to the earth surface, and the positive z-axis is normal and oriented\n", " towards the sun. Rotation angle tracker_theta indicates tracker\n", " position relative to horizontal: tracker_theta = 0 is horizontal,\n", " and positive tracker_theta is a clockwise rotation around the y axis\n", " in the x, y, z coordinate system. For example, if tracker azimuth\n", " axis_azimuth is 180 (oriented south), tracker_theta = 30 is a\n", " rotation of 30 degrees towards the west, and tracker_theta = -90 is\n", " a rotation to the vertical plane facing east.\n", " \n", " Parameters\n", " ----------\n", " apparent_zenith : float, 1d array, or Series\n", " Solar apparent zenith angles in decimal degrees.\n", " \n", " apparent_azimuth : float, 1d array, or Series\n", " Solar apparent azimuth angles in decimal degrees.\n", " \n", " axis_tilt : float, default 0\n", " The tilt of the axis of rotation (i.e, the y-axis defined by\n", " axis_azimuth) with respect to horizontal, in decimal degrees.\n", " \n", " axis_azimuth : float, default 0\n", " A value denoting the compass direction along which the axis of\n", " rotation lies. Measured in decimal degrees East of North.\n", " \n", " max_angle : float, default 90\n", " A value denoting the maximum rotation angle, in decimal degrees,\n", " of the one-axis tracker from its horizontal position (horizontal\n", " if axis_tilt = 0). A max_angle of 90 degrees allows the tracker\n", " to rotate to a vertical position to point the panel towards a\n", " horizon. max_angle of 180 degrees allows for full rotation.\n", " \n", " backtrack : bool, default True\n", " Controls whether the tracker has the capability to \"backtrack\"\n", " to avoid row-to-row shading. False denotes no backtrack\n", " capability. True denotes backtrack capability.\n", " \n", " gcr : float, default 2.0/7.0\n", " A value denoting the ground coverage ratio of a tracker system\n", " which utilizes backtracking; i.e. the ratio between the PV array\n", " surface area to total ground area. A tracker system with modules\n", " 2 meters wide, centered on the tracking axis, with 6 meters\n", " between the tracking axes has a gcr of 2/6=0.333. If gcr is not\n", " provided, a gcr of 2/7 is default. gcr must be <=1.\n", " \n", " Returns\n", " -------\n", " dict or DataFrame with the following columns:\n", " * `tracker_theta`: The rotation angle of the tracker.\n", " tracker_theta = 0 is horizontal, and positive rotation angles are\n", " clockwise.\n", " * `aoi`: The angle-of-incidence of direct irradiance onto the\n", " rotated panel surface.\n", " * `surface_tilt`: The angle between the panel surface and the earth\n", " surface, accounting for panel rotation.\n", " * `surface_azimuth`: The azimuth of the rotated panel, determined by\n", " projecting the vector normal to the panel's surface to the earth's\n", " surface.\n", " \n", " References\n", " ----------\n", " .. [1] Lorenzo, E et al., 2011, \"Tracking and back-tracking\", Prog. in\n", " Photovoltaics: Research and Applications, v. 19, pp. 747-753.\n", "\n" ] } ], "source": [ "help(pvlib.tracking.singleaxis)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "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": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 8, "metadata": {}, "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": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "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, dtype=float)\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": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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, dtype=float)\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": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "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": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "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": 15, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 16, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "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": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "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": 18, "metadata": {}, "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": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "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": 20, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\ipykernel_launcher.py:7: RuntimeWarning: invalid value encountered in greater\n", " import sys\n", "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\ipykernel_launcher.py:8: RuntimeWarning: invalid value encountered in less\n", " \n", "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\ipykernel_launcher.py:9: RuntimeWarning: invalid value encountered in greater\n", " if __name__ == '__main__':\n", "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\ipykernel_launcher.py:10: RuntimeWarning: invalid value encountered in less\n", " # Remove the CWD from sys.path while we load stuff.\n", "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\ipykernel_launcher.py:14: RuntimeWarning: invalid value encountered in less\n", " \n", "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\ipykernel_launcher.py:14: RuntimeWarning: invalid value encountered in greater\n", " \n", "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\ipykernel_launcher.py:15: RuntimeWarning: invalid value encountered in less\n", " from ipykernel import kernelapp as app\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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HulRz/co6qsty08NpMi3X5AdN8mpO+u0DO5ctebDq8omU4ZnXunO6Xb9pOXuBs+dH2eFRqQbeTPLajdLfHE3yIhIUkZdFZLd9u0ZE9ojIMfuy2sntKe9cmCjX5LYVuWlJFXXl4XnflXJ3SxtFQWG7R6UagCr7s+8f1pa8nzndkv8YcCTj9ieBfcaYVcA++7YqABc8qMkDBAPCLWsaeOrVLuLJVE637ReplOGRV9q5cVV9zt//TOFQgLJwkPNak/c1x5K8iCwG7gC+mnH33cCD9vUHgXuc2p7y1gWPavJglWwGxxK8eLIv59v2g5fPnKftwhg7NnpXqkmrKg3TP6oteT9zsiX/ReB3gczmVdQY0w5gXzY4uD3loXSPCi9akjesqqM4FJi3c8zvamknHAqwdW3U61CoKi3S3jU+50iSF5EdQJcx5qU5/v19IrJfRPZ3d8/vE2r54sJonLJwkCKXpxmeSmk4xA0r69h7pHPeDalP2qWam1fXUxHxrlSTZiV5bcn7mVNH6PXAXSLyBvDvwC0i8i9Ap4g0AdiXU67hZox5wBiz2Rizub6+3qGQlJv6R3I3b81UtqyNcqZvlGNdQ57F4IUX3+ijazCWk8W6Z6KqNKwteZ9zJMkbYz5ljFlsjFkOvB940hjzC8BDwL320+4FdjqxPeW9vuGYZ/2zAbastSp/823068Ot7USKAtyyxh+Vz7qyML3au8bX3P6tfT+wTUSOAdvs26oA9A2PU+Nhko9WRti4eMG8mrAskUzx6MF2tqyJUlbs/jz+M1FbXsyF0TjjifnZ0ykfOJ7kjTFPG2N22Nd7jTFbjDGr7Mv52R2iAPUOj3syKVamrWujHDjTT9fgmKdx5MoLJ/voGRr3dADUZLXl1he9jnr1Lx3xqubE65Y8WFMcGANPHZ3yVE/B2d3aRlk4yM0+KdUA1JZZX/Q9QzGPI1EXo0lezdpYPMnIeNLzJL+msYJFVSXsOVz4ST6eTPHowQ62NkeJFAW9DmdCnd2S7x3SlrxfaZJXs5Y+0VbrcZIXEbY1R/n+8W5GC3zhiueO99A/EvdNr5q0Wrtk1zusLXm/0iSvZq3X/mnudUserLr8WDzFc8d7vA7FVQ+3tlNRHOLGK+q8DuUn1GpL3vc0yatZm2jJl3uf5K9dUUNFcaige9mMJ1I8fqiDbeuiFIf8U6oBqCgOEQ4G6NEk71ua5NWs9dkHdE2Zt71rwJok68bV9ew90kUqVZijX5891s3AWII7fVaqAatkVlsenvh1p/xHk7yatT4fteQBtq2N0jMUo+Vsv9ehuGJ3azsLSoq4fqW/SjVpteU6IMrPNMmrWesdHqcoKFT4ZEDOTavrCQakIEs2Y/Ekew53ctu6RsIhfx6utWXF2pL3MX/uNcrX+oZj1JSFERGvQwGs+VOuWV7NviOF15Xymde6GYolPFuseyZqy8Nak/cxTfJq1nqHxn1Rj8+0dW2Uox2DnOkb8ToUR+1ubaemLMw7Lq/1OpSLqq8opnsoNu9mBM0XmuTVrHUPxaiv8FeS39Zsza1eSCWb0fEk+450ctv6RkIeTOk8U9GKCOOJlM5G6VP+3XOUb3UPxqj3eN6ayZbVlrGqobygkvyTR7sYGU/6aq6aqUQrIwB0DMyPOYTyjSZ5NSuplKFnKEZDpb+SPFhz2bxwom9iacJ8t7u1jfqKYt6+wr+lGoDGBda+0KlJ3pc0yatZuTAaJ540vmvJg1WXT6QMz7yW/6uLDccSPHm0i3evbyQY8McJ7otpqLBa8l0D2sPGjzTJq1npGrQOZL/V5AE2LamitizM3gJYSGTvkU5iiRR3+HAA1GTpX3VarvEnTfJqVrrtJN/gwyQfDAi3rGngqVe7iCfzexGL3a3tNFZG2Lys2utQplUcClJTFtZyjU9pklez0j1kHch+bMmDVZcfHEvw4sn8XZ9mYCzOM6928+4rmwj4vFST1lBRTKeWa3xJk7yalW4fl2sA3rmqjnAowJ487mWz51An48kUOzb6u1dNpmhlRFvyPuVIkheRiIj8SERaROSQiHzWvr9GRPaIyDH70v+/PdUldQ3EKCkKUu6TKQ0mKw2HuGFlHXuPdObt4JyHX2lnUVUJVy2p8jqUGWvUJO9bTrXkY8AtxpiNwCbgNhG5DvgksM8YswrYZ99WeSw9EMovUxpMZevaKGf6RjnWNeR1KLN2YSTOs8e6uWNDk6/f48milcX0DMVI5Pm5kELkSJI3lvQRVWT/M8DdwIP2/Q8C9zixPeWd7kH/jXadbMtaaw3UPXnYy+bxQx3Ek8b3A6Ama6iMkDLoHDY+5FhNXkSCInIA6AL2GGNeAKLGmHYA+9I/KxCrOekYGKPRHuHoV9HKCBsXL8jL0a+7WttYWlPKlYsWeB3KrKT3CS3Z+I9jSd4YkzTGbAIWA9eKyPqZ/q2I3Cci+0Vkf3d3/g9kKVTGGDoujE0MY/ezrWujHDjTT9dg/iSd3qEYP3i9lx15VqoBndrAzxzvXWOM6QeeBm4DOkWkCcC+nHIuWGPMA8aYzcaYzfX19U6HpBwyGEswMp6cGMbuZ1uboxgDTx3Nn+mHHz/USTJlfLdY90xE7QFRXZrkfcep3jX1IlJlXy8BtgJHgYeAe+2n3QvsdGJ7yhudF6wDOB9a8msaK1hUVcKew/mT5He3tnFZXRlrmyq8DmXWasuLCQZE+8r7kFMt+SbgKRFpBV7EqsnvBu4HtonIMWCbfVvlqfRP8aYFJR5HMj0RYevaBr5/vJvR8aTX4UyrezDGD0/kZ6kGrNHG9eXFWq7xIUc6OxtjWoGrpri/F9jixDaU9zrslrzfT7ymbW2O8uDzp3jueA9b7fnm/erRg+2kDOzYmH+lmrRoZbGeePUhHfGqZiyd5P04zfBU3r6ilvLiUF70stnd0s4V0XKuiOZfqSYtWhnRmSh9SJO8mrGOgTGqS4uIFAW9DmVGwqEA71pdz94jXaRS/h392nFhjBdP9eXlCddM0cqIlmt8SJO8mrHOgTEa86Aen2nb2ig9QzFazvZ7HcpFPfJKO8bg68W6Z6JxQYQLo/G8OAcyn2iSVzNmDYTKj1JN2k2r6wkGxNclm92tbaxtquTy+nKvQ8nKoiqrAXCuf9TjSFQmTfJqxtr6x1hYlV8t+arSMNcsr2bfEX92pTzXP8qPT/fn3TQGU1lcbe0bZ8+PeByJyqRJXs3I6HiSvuHxvEvyYI1+PdoxyOle/yWfh1vbAAokyZcCcPa8tuT9RJO8mpG2C9aBuygPk/z25kYAnjjc4XEkb7W7tZ0rFy1gWW2Z16FkraGimKKgaJL3GU3yakba7DprPrbkl9aWsqaxgscP+SvJn+4dofXshYJoxQMEAsLCqhIt1/iMJnk1I28m+fwYCDXZbesb2X/q/MTKVn6w+xWrVJPvvWoyLa4u0ROvPqNJXs3Iuf4xApIf89ZM5dZ1jRjjrznmd7e0c9XSqoladiFYXFWq5Rqf0SSvZqStf5RoZYSiYH7uMmsaK1hWW+qbks2J7iEOtw/k/QCoyRZXl9A9GGMsrn3l/SI/j1iVc+fOj+ZlPT5NRLh1XSM/eL2HgbG41+Gwu7UdgHdf2ehxJM5aXKN95f1Gk7yakXP9+Z3kwSrZxJPGF3PMP9zazjXLq/NiRs/Z0G6U/qNJXk0rkUzR1j/K0pr8TkhXLamioaKYxw56W7I51jnIq52DBVeqgYxRr5rkfUOTvJpWW/8YiZRhaU1+nyAMBITt66I8/Wq3pzXjXS1tBARuL7BSDVgn5kMB0W6UPqJJXk3rVN8wAEtr8n/Azq3rGhmNJ/nea96sJWyM4bsH2njH5XU0VORnT6VLCU70ldeWvF9oklfTOt1ntcqW1eZ3Sx7gustqqYyEePyQN10pD5zp53TfCHdvKrxSTdriah0Q5Sea5NW0TveOEA4F8mZFqEspCgbYujbKvqOdxJOpnG9/54E2wqEAt64vvFJNmpXktSXvF5rk1bRO9Y6wpLqEQCD/1h6dyvZ1jfSPxPnRyb6cbjeRTLG7tZ0taxqojBTldNu5tLi6lK7BGLGE9pX3A0eSvIgsEZGnROSIiBwSkY/Z99eIyB4ROWZfVjuxPZVbp/pG8v6ka6Z3XVFPSVGQR15pz+l2nz/RS89QrKBLNZA55bC25v3AqZZ8AvgdY8xa4DrgwyLSDHwS2GeMWQXss2+rPGKM4XTvcEHMkphWEg6yZW0Djx3sIJHDks13X26jIhLiptUNOdumF5bXWfvKGz3DHkeiwKEkb4xpN8b82L4+CBwBFgF3Aw/aT3sQuMeJ7anc6R0eZ3g8WVAtebDmb+8dHueHJ3JTshmLJ3n8UAe3r2/MmzVy5+oyO8mf1CTvC47X5EVkOXAV8AIQNca0g/VFAEzZhBGR+0Rkv4js7+72pmubmloh9azJdNPqBsrCQR62Z4J025NHuxiKJbh706KcbM9LVaVhasrCvN6tSd4PHE3yIlIO/BfwcWPMwEz/zhjzgDFmszFmc319vZMhqSylV1MqtCQfKQqytTnKYwc7ctLLZueBczRUFHPdZbWub8sPVtSVcbJnyOswFA4meREpwkrw/2qM+Y59d6eINNmPNwHeTxqiZuWUneQLaTrctDuubOL8SJznX+91dTsXRuM8dbSbOzcuJFggPZSmYyV5bcn7gVO9awT4GnDEGPOXGQ89BNxrX78X2OnE9lTunOobprEyUpB15BuvqKe8OMTuVndLNo8dbGc8mSr4XjWZVtSV0TkQYziW8DqUec+plvz1wC8Ct4jIAfvfu4H7gW0icgzYZt9WeeR07whLC6xUkxYpCrKtOcrjhzoZT7hXsvnOj8+xoq6MKxctcG0bfqMnX/3Dqd413zfGiDFmgzFmk/3vEWNMrzFmizFmlX2Z29EnKmun+kZYVmA9azLt2NDEhdE4z73e48rrn+4d4YWTfbz3bYuxfvDODyvqNcn7hY54VRc1FEvQPRib6PdciG5YVUdFJMSuA+6UbL7947OIwHuuLvxeNZmW12qS9wtN8uqijndZvSNWNpR7HIl7ikNB3r2+iccOdTAy7mz9OJUy/NdLZ7lhZV3BLQ4ynUhRkEVVJZzo1h42XtMkry5qPiR5gJ++ehEj40nHF/l+/kQv5/pHed/mJY6+br7QHjb+oEleXdTxriGKglLQNXmAa5fXsKiqhO/8+Jyjr/vtl85SEQmxvTnq6Ovmi8vqyzjRM4wxxutQ5jVN8uqijncNsby2jFCwsHeTQEC456qFPHusm+7BmCOvOTAW59GD7dy1cWFBdj+diRV1ZQyOJegdHvc6lHmtsI9elZXjXYMFX6pJ++mrFpEy8FCLMydgH2ltZyyemrelGrCSPMDrXVqX95ImeTWlsXiS030j8ybJr2yoYMPiBXxr/xlHygv/sf8MKxvK2bh4/vSNn+yKaAUAr3UOehzJ/KZJXk3pWOcQKQNrmyq9DiVnfvaaJRztGKTl7IWsXufguQu8fLqfD1y7dF71jZ+saUGEykiIox2a5L2kSV5N6XC7leia51GSv2vjQkrDQf7thVNZvc43nj9FSVGQ975tsUOR5ScRYU1jpSZ5j2mSV1M63DZAWThYcPPIX0pFpIi7Ni5kV0s7A2PxOb3GhZE4O1vOcc9VC1lQUrhL/M3UmqYKXu0Y1B42HtIkr6Z0uH2AtU2VBbOu60x94NqljMaT7JzjCNhvvXSGsXiKX7xuubOB5ak1jZUMxRK6FKCHNMmrt0ilDEfaB2leOH9KNWkbFi+guamSf3n+1Kxbn8mU4Rs/PMXmZdXz8r2bypom6+Tr4fYZLy+hHKZJXr3FiZ5hhmIJ1s3DRCUifOiGFbzaOcjTr85ulbLdrW2c6h3hV9+5wqXo8k9zUyWhgNBypt/rUOYtTfLqLV58w5osdPPyGo8j8cZdGxeycEGErzz9+oz/JpUyfOmp41wRLWd7c6OL0eWXSFGQ5oWVvHxak7xXNMmrt3jxZB915eGJOcHnm3AowK++8zJ+9EYf+9+Y2ezYTxzu5LXOIT5888p5dx5jOpuWVNF6tp9kSk++ekGTvHqLH73Rx+ZlNfO6j/f7r11CdWnRjFrzxlit+OW1pdxxZVMOossvVy2tYng8ybEu7UrpBU3y6pH6+3gAABBjSURBVCec6x/l7PlRrlkxP0s1aaXhEL9ywwr2He3iRycv3Zr/7oFzvHLuAh+5ZVXBz/MzF1cvrQbghy6vpaumpnuk+gmPtLYDcMuaBo8j8d6v3HAZCxdE+OyuQySSUy8PeGE0zv2PHmXj4gW856r5tTDITC2rLeOy+jL2HunyOpR5yamFvP9RRLpE5GDGfTUiskdEjtmX1U5sS7lrZ8s5NixeMDG51HxWEg7y6R3NHGob4G+fOv6Wx40x/N+dB+kZGucP7lmvtfhL2NYc5YcnerkwOrdBZmrunGrJ/xNw26T7PgnsM8asAvbZt5WPnekb4eC5Ae7csNDrUHzj9iubeM9Vi/jrfcd42P6Vk/blp19n54E2PrZlFRsWV3kUYX7Y3hwlkTI8+kr79E9Wjgo58SLGmO+JyPJJd98N3GRffxB4Gvg9J7an3NExMAbA6sYKjyPxlz/86fWc7hvho//+Mi+fPs81K2p45JV2dh5o455NC/nIzSu9DtH3rlpSzcYlVfzpY0fZ2hylrrzY65DmDTdr8lFjTDuAfalFXp8biycBq0yh3lQaDvH1X76Gn7l6EV/9/kl+/Rsv8cgr7Xx0yyo+/76NWqaZgUBA+Px7N3B+JM5/vXTW63DmFUda8tkSkfuA+wCWLl3qcTTz11jcOrkYCWmSn6wiUsSfvXcjv3vbGk71DrO6sZLyYl8cPnljVbSCUEAYHHN2wXR1aW625DtFpAnAvrzoqXVjzAPGmM3GmM319fUuhqQuZXSiJa+dri6mrryYty2r0QQ/RyVFwYn9TOWGm0fzQ8C99vV7gZ0ubks5IF2uKdaWvHJJsSb5nHOqC+U3geeB1SJyVkR+Bbgf2CYix4Bt9m3lYzH74JuvC08r95WEA4yNa5LPJad613zgIg9tceL1VW6M6olX5TIt1+SeFl/VhDdPvOpuodyhST739GhWE8biSUIB0flXlGsiRUFGtVyTU3o0qwmj8SQlWo9XLioJBydO8Kvc0CSvJozFUxRrklcu0nJN7mmSVxPG4kkiRbpLKPdoks89PaLVhDEt1yiXRcJBRsennrZZuUOTvJpgteQ1ySv3REJak881TfJqgp54VW4rCQcYjScxRtd7zRVN8mqCdeJVdwnlnpKiIMmUIZ7UJJ8rekSrCVquUW5L719jCS3Z5IomeTVBT7wqt6WnzND5a3JHk7yaMBZPaRdK5ap0I0K7UeaOHtFqwlhCyzXKXZrkc0+TvJowOq7lGuWuiF2u0flrckeTvALAGEMsodMaKHdpSz73NMkrAGIJe5phrckrF030rtEknzN6RCvgzZ/PWq5RbppoyevUBjmjSV4Bb/Zb1hOvyk1arsk915O8iNwmIq+KyHER+aTb21Nzoy15lQuRsJVyNMnnjqtJXkSCwJeA24Fm4AMi0uzmNtXcTCz9pzV55aJ0I0IHQ+WOIwt5X8K1wHFjzAkAEfl34G7gsNMbSqUMOhvG3I3GEwDau0a5Kl0OHB5PkEzpETtZQEBEHH1Nt5P8IuBMxu2zwNvd2NBndh3in58/5cZLzytlYbd3CTWfFQUDFIcCfHHvMb6495jX4fjO13/5Gm5e3eDoa7p9RE/1lfSWr28RuQ+4D2Dp0qVz2tDNaxqoKy+e098qS1lxiE1LqrwOQxW4L/7sJo51DXkdhi+tqC1z/DXFzXmdReSngM8YY261b38KwBjzJxf7m82bN5v9+/e7FpNSShUiEXnJGLN58v1un2V7EVglIitEJAy8H3jI5W0qpZSyuVquMcYkROQjwONAEPhHY8whN7eplFLqTa6fZTPGPAI84vZ2lFJKvZV2ilZKqQKmSV4ppQqYJnmllCpgmuSVUqqAudpPfi5EpBuY69DVOqDHwXCconHNjsY1OxrX7Pg1LsgutmXGmPrJd/ouyWdDRPZPNRjAaxrX7Ghcs6NxzY5f4wJ3YtNyjVJKFTBN8kopVcAKLck/4HUAF6FxzY7GNTsa1+z4NS5wIbaCqskrpZT6SYXWklcXIU6vRKA8oZ+jmq28SvIi0uTHnVxEFoqI7yazF5ErReT3AIyPfrKJSKPXMUxFRKJexzAVEVktIreD7z7HZSIytwUgXCYiEa9jmIoXOSwvkryIFIvIV4BngAdE5D1exwQgIuUi8pfAo8BXReTn7Ps9fV/F8nng34CQiBR5GU+aiJSIyBeBx0TkCyJyt9cxwcTn+AXgURH5e5/tX38BfBMIex1Pmv05fgFrv39QRH7Dvt/zfCIiZSLyAPD/RKTWvs/zhqGXOczzD2WG7gKajDFXALuBz4nIFV4GJCILgX/COviuB3YC6VZzyrvIAKgHmoC3GWP+yBgT9zietA8D9caYTcB3gT8WkZVeBiQii4BvYB0L78Y6CP/My5gARKQS+A5wgzHmamPMTq9jyvBRYKExphn4DPBx8H6/t1vvnwNuACqAm+24/PDrx7Mc5tskLyLlGTcN0A1g7+yPAb8uIjlfq05EKuyrF4DfMcZ8xBgzBESB74pIvf28nL63GXEBLABWGWPGReRWEfmEiNyay3gy4iq3L4NANdYOjjHmGWAYq8W1wIvYbGPAV40xHzPGdAD/CRwQkQ0expSO6xvAIQARuV5EtovIKvt2zo9dEQna2xWg1b57IfCwiKzJdTwZcZXaV2PAV4AbgWPA20Tkcvs5OW/N+yWH+S7Ji8hKEflP4J9E5A4RKQNGgQG79Qzw58DVwDr7b1z/ACfHBRQZY06JSKmIfAz4JFCGtcM3G2NSOY7r6/b7VQMMAc+JyOeA38VKGF8UkXsn7Xi5iOtBEdlh3z0IvF1ENtpfhkeBK4DL7L/Jxfu1WkT+TkRKAIwxvcDTGU9ZYsfzqtuxTBPXOPAkYESkA/hjYBvwjIisy+H+NRGXMSZpt9bbgKUi8izwp1if614R2ZbLZCoiq0Tkn7HKH3cBFcaY48aYHuApIIIHrXnf5TBjjG/+YX3p7AY+DdyN9a18P1AMPAzcDoTt534G+LZHcX0J+Bv7MQGuyHju54A9HsX1ZeDz9mN/g5W8Ntq33wt8G+tAyHVcfwf8EVBkX34LOGB/nn8APJCj9+sG4EdACvg/6c9v0nNWA9/JRTyXiivjfdwCfGLS/vWYD+JagPWrp9G+78PAIzl8z34ROAz8BvAh4B+AX5r0nF8DvoBVtsxVXL7LYTnbkWf4Bi0C/gUIZtz+EfB24H3A14Fr7cfW2B9skUdxPQ/cZd+WdLLAagV+FyjxKK4XsH6ubgT2AB/KeP5TWLVUr+Labt9eAdTY138G+O30++hyXGuB9cBK4DjWhE6Tn/N+4M/t678GbMjB+zU5ruUZj0UmPXcVVq0+4lVc9v6+yE6gl9n3FWM1Kmrdjsve3nbgzozbfwr8T/t6yL5cCvw+8JtYv7RvzEFcvsthvirXGGPOAZuxfpamb38Z+Kwx5lvAa8CnROR3gH8HTpgcnFS8SFxfAX7bvm2MMUZEfgr4R+AHxphRD+P6tDGmBWv03J0i8in7p/VBoM+juL4E/G/79kljTJ+I3Aj8L+CMfb+rP6mNMUeA48aY41hfgJ+Dt9S3twC1IvJfwM9hlbpcNUVcn7XjEmPMxPZF5B3A14AfZt6f67jsz6kD6wvn10Tkg1jrOL+Ida7KdcaYJ4AnRCS9hOkY1vkBjDEJ+/I0UA78IdaXt1f7vrc5LBffulN829UB0Yzbwpvfvh8Evp/xWBXWz8Jr7Oe9E/gr4Bd8ENc37XjKsA6Al4H/4YO4/gN4h317HfA7wPt9ENc3sVtTWC34Y8DP5SKuydexel8cB7ZM+ttHsU52vtcvcWElqt/DKnH9rI/i2oDVSn7Yjf1rutgmPe9fgfdMuu8aoB34eRfiakofYxn3pVvvU+37OclhU8aai41MeiN+H+uE27eB++37AplvFNYJp49n3PcgsN7PcQGb/BiXj9+vKi/iSsdmX34c2G1f/4B9AN7kw7hCZJz38VFcrpYkZxhbACgF/hurh5sAtwLFLsd2CKtBcLV9O/OL0ZNj8qKx5mxD1pnu+7G+0ertD2SEN2uzmW/S24CTwD3ALwAvAc0+jcuVD66A3691XsQ16bmZMZ7HKjF8DRfq3A7F5XgydSCuf8BKro6fR5lNbPbzm7CS6oew6t9/ZL+GG7EFsH5ZPYZ1HuC3gbL0Y9Ps+64ck9PG7PoGMlpsWIMB0tdvwvr5vm7S8wP25d1YJZDvYQ0I0bg0rqzjynh8AVY3tlbgeo3L27iyjO1OrB5A/wm80824Mu77W+ATWGWXGyc9lv7l4+q+P+P4XXthqLXfiCewRsitse8PYZ0ZfwP4C6xv3g9kvDFu97DQuOZxXBl/H8CFnjMaV+73MaxzYr/ucly/Bay1718J/JN9/X9hteg/DizOxb4/6/+HSx/adfYH8hms7nx/Cvx1xuN1vNnS24F1Vj4XXSE1Lo1L4/JJXE7ExqQavctx/U3G43+NVXv/e6yePd/Mxfs1l39udaHsB/7SGPMZY8z3gB+ANbeE3S2sx9jzXBhjdmON0FzkUiwal8alcfkzrqxjM+7NlzNVXEZEikRkI3AlVumqCfg8cDw95YTfhKZ/yuwZY46KyBn7QzJAHFhp7L696ftFZC1WH9ZTWEOlXaVxaVwal3/i8nNsl4grDrSIyPeBZ40xT4jICqx++K6PXZiLrFryIhKedHti/gVjzLD95gAs580JjQCKReQXsfpzP2mM+aCx5upwhMalcWlc/onLz7HNNS5jzKeNNSALYw3u+xNjzBmn4nKUmXvN6jexalZ/TEanfn6yG1G6lvbn2AMVgPcANUAD7nQN07g0Lo3LJ3H5ObYs42p0471y49+sW/IiUiciXwduwzoT/hrwM2JP0G/sGpmIbDBv1svWAatE5FGs+RuCxpgu4+DQf41L49K4/BOXn2NzIK6fweqymR9m8a2XHq4eBK7LuP/9wBcybkex5sF+FmsuiaXAANbkRfe48G2scWlcGpdP4vJzbH6Ny+1/M3pjsM4e/xX2LIIZb9SHgNNYo7/+Bmtyp/XARye9xi+78YFpXBqXxuWPuPwcm1/jytW/6d4cwZpB7V+An8eaie7D2MO/seabTs+N/D6s6WQzh0CHXdqZNC6NS+PySVx+js2vceXy33RvUCVW/9AK+/atWN+GvzTFc9diTbNblfkmufTBaVwal8blk7j8HJtf48rlv0ueeDXGDGANKf6gfddzWNPpvl1EGtPPE2tJuU8Do8aYfmO/Y27RuDQujcs/cfk5Nr/GlUsz6V3z38AmEWky1oLVrVgL5jaKtbDv72OtkvSaMebDLsaqcWlcGpd/4/JzbH6NKydmkuS/D/RifxMaY34MXAuUG2OS9uO3GmM+41KMGpfGpXH5Py4/x+bXuHJi2mkNjDHtIvJd4H4ROY41QdAYkF5i62lXI9S4NC6Ny/dx+Tk2v8aVMzMt3mOtMv6PWCu1fMTJEwPZ/NO4NC6Nyz9x+Tk2v8bl9r/0fMwzIiJF1veCtVCuX2hcs6NxzY7GNXt+jc2vcblpVkleKaVUfnFrPnmllFI+oEleKaUKmCZ5pZQqYJrklVKqgGmSV0qpAqZJXimlCpgmeaWUKmCa5JVSqoD9f/VV7TU8xDk9AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 22, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n" ] } ], "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": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tracker_data.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Without backtracking" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n" ] }, { "data": { "image/png": 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gg/zyl7/80jYeOXKEF154ge3btxMTE8P8+fPPtWvv3r38/Oc/Z8OGDZdcDdWtWzcAAgICzj1ufe5wONrU217N7oKCgs5tpLXZbDgcji9tv6+THoOwKk+vSpoI/Atwo1KqwLzNwwiEmUqpg8BM8zla673A+8A+4BPgEa2108Nt9IjS0lLCwsJ44IEHePzxx9mxYwepqank5+cDsGTJkiueV21tLYmJidjt9jarhWbMmMErr7wCGNsCampqmDFjBh988AGnThmdsNOnT19yI3ZNTQ3h4eFER0dTXl5+7mywZ8+e5Z577uGNN97gelbT9e3bl3379tHc3MzZs2dZs2bNuXGRkZHU1tZe87ytQIJBWJWn90raRPvbDQBmXOI1zwLPeqxRnWTPnj386Ec/IiAggKCgIF555RUaGxv5xje+wXPPPUdWVtYVz+u//uu/yMrKom/fvowcOfLcD+of/vAHFixYwOuvv47NZuOVV15h/PjxPPPMM8yaNQuXy0VQUBD//d//Td++fS+a76hRoxg9ejRpaWn079+fiRMnArB06VKOHj3KQw89dG7agoKCq34Pevfuzde//nXS09MZNGgQo0ePPjduwYIFzJ07l8TExHPbGfyN3WWX8yQJS1Jat7tt11IyMzN1Xl5em2H79+9n2LBhXmqR8BQr/V8fXv0wNc01vHPzO95uihAXUUrla60z2xsnp8QQwkMcToesShKWJMfqdxFZWVk0Nze3Gfbmm28ycuRIL7XI/8k2BmFVEgxdxGeffebtJnQ5dped0KD2d0EWwpfJqiQhPER6DMKqJBiE8BA5wE1YlQSDEB4iPQZhVRIMQniIBIOwKgkGH9VZ12N47rnn2jyfMGECAMXFxYwYMQIwDm5bvny5R9vhj+QAN2FVEgw+xuFwcPLkSbZs2cLu3bv5/ve/79G/d2EwbNmy5aJpJBiuTYuzRXoMwpK6xO6qJ597jub9HXs9hm7DhtLrxz++5HgrXI/hySefpLGxkYyMDNLS0nj77beJiIigrq7u3DQtLS387Gc/o7GxkU2bNvHUU09x9913d+h76a9kVZKwKukxeIgVrsfw/PPPExoaSkFBwSWnCQ4O5he/+AV33303BQUFEgpXQYJBWFWX6DFcbsneU6xyPQbhGVprHC6HbGMQltQlgsEbrHA9BuE5DpdxPQnpMQgrklVJHmKF6zGAcYEcu91+2b/fFa6d0NHsLuM9lWAQViTB4CF79uxh3LhxZGRk8Oyzz/L000/z85//nMcee4zJkydf8qpo7Wm9HsPMmTMZOnToueF/+MMfWLduHSNHjmTMmDHs3buX4cOHn7seQ3p6OjNnzqSsrOyS816wYAHp6encf//9l5xm+vTp7Nu3j4yMDN57770rbndXJsEgrMzj12NQSv0ZuAU4pbUeYQ5bCDwEVJiT/Vhrvdwc9xTwDcAJPKq1Xvllf0Oux9B1WOX/WtlYyfT3p/N01tPcPVQ22Avf4+3rMfwFaG+XnN9rrTPMW2soDAfuAdLM17yslLryRWshfITdafYYZOOzsCCPb3zWWm9QSqVe4eS3A3/TWjcDR5RSRcA4INdDzesy5HoMnUtWJQkr8+ZeSd9RSv0rkAf8UGt9BkgGtrpNU2IOu4hSagGwAKBPnz4ebqr1yfUYOpcEg7Ayb218fgUYAGQAZcBvzeGqnWnb3QiitV6stc7UWmcmJCS0+0f84XrW4jwr/T8lGISVeSUYtNblWmun1toFvIaxugiMHkJvt0lTgNJr+RshISFUVVVZ6sdEXJrWmqqqKkJCQrzdlCsi2xiElXllVZJSKlFr3boP5VeAQvPxx8A7SqnfAUnAIGDbtfyNlJQUSkpKqKio+PKJhSWEhISQkpLi7WZckdYeQ2CAHEMqrMfjn1ql1LvANCBeKVUC/ByYppTKwFhNVAx8C0BrvVcp9T6wD3AAj2itndfyd4OCgujXr9/1FyDENZBVScLKOmOvpHvbGfz6ZaZ/FnjWcy0SwvMkGISVyZHPQniAbGMQVibBIIQHSI9BWJkEgxAeIMEgrEyCQQgPkGAQVibBIIQHSDAIK5NgEMIDZOOzsDIJBiE8QHoMwsokGITwAAkGYWUSDEJ4gASDsDIJBiE8wO60E6ACsAXIdaaE9UgwCOEBDpdDegvCsiQYhPAAu8suwSAsS4JBCA+QYBBWJsEghAdIMAgrk2AQwgPsTrsc3CYsy+PBoJT6s1LqlFKq0G1YrFJqlVLqoHkf4zbuKaVUkVLqc6XUbE+3TwhPkB6DsLLO6DH8BZhzwbAngTVa60HAGvM5SqnhwD1Amvmal5VSsr+fsBy7S3oMwro8Hgxa6w3A6QsG3w781Xz8V+AOt+F/01o3a62PAEXAOE+3UYiOJj0GYWXe2sbQU2tdBmDe9zCHJwPH3aYrMYcJYSl2pwSDsC5f2/is2hmm251QqQVKqTylVF5FRYWHmyXE1ZEeg7AybwVDuVIqEcC8P2UOLwF6u02XApS2NwOt9WKtdabWOjMhIcGjjRXiakkwCCvzVjB8DDxoPn4Q+Mht+D1KqW5KqX7AIGCbF9onxHWRjc/CygI9/QeUUu8C04B4pVQJ8HPgeeB9pdQ3gGPA1wC01nuVUu8D+wAH8IjW2unpNgrR0aTHIKzM48Ggtb73EqNmXGL6Z4FnPdei8577+UwqegRTmhyKy9be5g0hrs3Rs0fpH93f280QfsblcnHii2KK1uVSk7cDWpq5/c2XOvzveDwYfJWroYHb3y8hQIM9KIDyftGUDehO2cDulPeLxh7SZd8a0QF6hffitgG3ebsZwuKcDidfbNtF8ZpN2HfsIL74ADGNZ+kFxNiCONF7CC6Xi4CAjt0q0GV//QLCwhi8fj2NO3bSkJ9PZH4+KSsPwIojEBBAyNChhGaOIWxMJmFjMwmMjfV2k4UQfs5hd3BgUz7H1m3CWbCDnsUHiGxpIBWoCo+hcmAaZ9NHkTIxi+ETMsgI6eaRdiit290b1FIyMzN1Xl7edc/HWVdPY0EBjTvyacjfQeOuXeimJgC6DRpE2Lhxxk2CQgjRAVqamtm3fjsn1m9GF+wk8fjnhNmN35yKyHjODBpB2NixDJ41hb5pAzv0byul8rXWme2Ok2C4NN3SQuPevTRs207Dtm007NiBbmwEJCiEEFevqaGRvWu3UrZ+C2r3ThJPHCTU0QLAyeie1AweSWTWWIbMmkLy4FSPtkWCoYNou53GwkIJCiHEFWmoradw1WbKN+Zi21NAUmkR3VwOAEpjk6gbMpLo7CyGzZ5Kz9SkTm2bBIOHSFAIIdw1NzZRuHoLpTmbCdyVT3JpEUEuJy4UpfEpNAwbRcz4LIbPmkx8Sk+vtlWCoZNc8aqncWMJjIn5krkJIXydvbmFfRu2c3zNBtTOfJJKDhLibDkfBGmjiZuYTdqcKcT0iPN2c9uQYPAS3dJCY+FeIyS2baNh587zQTF0KOHZ2YRlZxGWORZbRLiXWyuE+DJOh5MDW3ZwdNUGXDvySDy6nzBHMwBlMUnUDh9F9wnjGTlvGrGJvn2qHgkGH2EERSENn31G/dbPaNyxA223Q2AgoSNHEj4+m7DsbEIzMggIDvZ2c4Xo8lwuF0Xb93B41Qbs27fT88heIlsaACiP6sHZIelETchm+Nzpnb6N4HpJMPgoV1MTjTt2UJ+7lfqtW2nauxdcLlRICGE33EDY+GzCs8cTMnwYyibXKxLC01wuF8W7v+Dgyhyat28joaiQ7k21gHEcQdXgdMKzsxg2d7rH9xryNAkGi3DW1NCwfbsZFLm0FB0CICAqivCscYRlZRM+Ppvg/v1RSk7hIURHKC8upfAfq6nbsoW4L3YTV38GgOrQKCoGjiBk7DgGz5lOnxEDO/wIY2+SYLAoR0UF9Vs/o35rLg25W7GXGmcgD+zRg7DsLMKzxxM+PpugxEQvt1QI66irrmHX8hwqczYRUbiDpNMnjOHBYZzsn0bQ2HEMmDWNAWOG+1UQXEiCwQ9orbGXlFCfm0vD1q3Ub/0M52njiqlBffsQPn484RMnEp6djS0y0sutFcJ3OOwOCtdupWT1emw7t5N8oogg7cQeYKMkZTCuG8bSd+Y0hk0ZS2BQ1zlLkASDH9IuF80Hi2jYmkt97lYatm3D1dAANhuho0YRPnECERMnEjJypGyfEF2Ky+XiyK7PObhiLfbPttLr8F4i7MbegCfie9MwcgwJ0yaRPmcq4dERXm6t90gwdAHabqexoIC6zZup37yFpsJC0NrYPjF+/LmgCEqWS2gL/1N14hS7P15FzabNxB7YRXy90ZuuCo+hamgGkRMnMPLWGST0ltWurSQYuiDHmTM05OYaQbFpM47ycgCCU1MJnzSJ8IkTCB83joBwOX5CWI/D7mDP2lxKPllL8I5tpJQfIQBNfVAIZf1HEDQui0HzZtBv1BC/3k5wPXw2GJRSxUAt4AQcWutMpVQs8B6QChQDX9dan7ncfCQYLk9rTcuhQ9Rv3kzd5s00bNtunDU2KIiwjAwzKCYau8XKl0j4qJOHj7Nn6ac0bt5E4sHdRLQ04EJR0qsfLTdkkTJ7OiOmZRHUTY4BuhK+HgyZWutKt2G/Bk5rrZ9XSj0JxGitn7jcfCQYro6rudk4fmLzZuo2b6F5/34AbLGxREyeRPiUKURMnIite3cvt1R0Zc2NTez+ZCNlq9YRtms7yVUlgLEb6amho4maMpn022YSl9zDyy21JqsFw+fANK11mVIqEcjRWg+53HwkGK6Po7KS+i1bqNu4ifqNG3FWV0NAAKEZGURMmUzElCl0GzZMjp0QHnd0bxH7P/oU+9bNJB/eS6ijGYcK4HjyYFxjs+k/bwZDJ94gq4c6gC8HwxHgDKCB/9FaL1ZKVWutu7tNc0ZrfdkzzkkwdBztdNK0Zw91GzZQt36DcTQ2EJiQQPiUyURMnkL4xAmyS6zoEM2NTRQsy+Hkp2uI2pNHr+qTAFSGx3I67QZipk1l1G0ziI6Xk052NF8OhiStdalSqgewCvgu8PGVBINSagGwAKBPnz5jjh492lnN7lIclZXUbdxE3Yb11G/egqumBgIDCRs9moipUwifMoVugwZJb0JcsfLiUnYvWU7Thg0kH9pNqKOZloBASvoOQ40bz6BbZvr9wWW+wGeDwZ1SaiFQBzyErErySdrhoHHXLurWb6BuwwaaDxwAIDAxkYipU4i88UbCsrII6OaZ69AKa3K5XOxbv50jyz4lOC+XPuVHADgd1p3KEZnE3XQjo2+f2aWPKfAGnwwGpVQ4EKC1rjUfrwJ+AcwAqtw2Psdqrf/f5eYlweAd9vJy6jdupG79euo2b0E3NKDCwoiYOIGIadOJmDaVwDjfOge96Bx11TXsXLqa02vWklCYR0zjWWMPop79sI8dT7/bZjNs0hjpFXiRrwZDf+BD82kg8I7W+lmlVBzwPtAHOAZ8TWt9+nLzkmDwPldzMw3btlG7di1163JwnDwJShE6ahQRN95I5PRpBA8cKKuc/NixfYfY9/flOLZsonfxPoJdDhoCu3Fi0ChCp0xl1Ffn0qOPHGDmK3wyGDqSBINv0VrTvH8/tevWUbd23bkN2EG9exMxfZqxymnMGFRQkJdbKq6Hy+Vi/6Z8Di9dQei2TSRXHgfgVGQC1RlZ9Jo9g4ybp9EtNMTLLRXtkWAQXmUvL6duXQ5169ZRn5uLbmkhIDKSiMmTiJh+IxHTpspeThZhb26hYPl6Sv+5ktiducTXn8aF4njiAJzjJzPkq/PoP1o2HFuBBIPwGa6GBupzc41VTjnrcVZVQVAQ4VlZRM6cSeSMGwmMj/d2M4Wbuuoa8pespHrVKhL35RPZ0kBLQCDH+40geOo0Rn39VstdvUxIMAgfpV0uGgt2Ubt6NbWrV2M/dszYLjF6NJE33UTkzJsI7t3b283skiqOl1Hw3jKac9aRcngP3VwO6oLDKBs2huiZM7jhq3OJjInydjPFdZBgED5Pa03zFwepXb2K2lWrz+0K223oUDMkZtJtcAcfL+FygaMR7I3QUg/2BuPW0gCOZnC2gMsOztZbiznMcf6x0wFoOPc9uuCxUZxxrxQEBEFAINgCjfuAIAiwgS2o7bjAUAgKgaAwCAo1n4eaz7kIZIQAABwSSURBVEOM5x28uubYvkMUvruUgM3rSSktwoY2zk6aMZ7EebPIuHkawSGyK7K/kGAQltNy/Di1q9dQu3o1jTt2gNYE9eljhMRNNxE6cjiq+Sw0VEHjGWg6C0010FxjPj5rPnYb1lx7PgBaGoxQ6FBmaCl1wWNznHaBdnbcn7N1g+Bw6BYJ3aIgJMp8HHl+mPu40BgIjYWwWONxSHcO7fqc/e8tJXjLenqfMg4SPRGXQuO4SfS7fS7Dp2TK9gI/JcEgfF9LA9SVQ90p48e+odK8r8JRfpLagmJq91ZSf6wZXBAY4iQipYmo3o2EJbSgLvztCgxx+7GMgpBo40cyOAKCzaXwoHDjPjjcbWk8zBgfGGIsxduCjSX51se2oPNL963Pr6YXo7XR43A5jF5Iu49bwNEE9iYjxBxNRq+m9eZwe9xSZwRe6601AFtD0WW/qAnNZwOpOR5CTUkoLdXmnmFxNgIHdydhXD+6D+hrBEh4PET0hIgexn14glGv8AuXC4aucx070fm0Npbma0+aP/rl5uNTUHcSasvPD2+uaX8egSEEhsUTMyiWmFGpOAOiqTtip3b/ac4WnqC6KBxbdASRk8cRNfNGwrImoCJiIdBHV3kodT5cgkI9//cczbgaqynamEvJxysJ27mT6LNn0UBDzyjCp8WSPDKCqPBG43/VkAfbPjXCqD1hcRDe43xYnLs3H0clGbduspeZlUkwiGujNTRVw9kTUHMCzpaY9+7PS8HZfPFrg8Ih0vwx6ZkGA2e4/bj0NJZUw+KMW3BYm5fagGjz5mpspG7DRmpXfsLZteupXrYWW0yMsbppzmzCx43rssdKuFwu9qzJpfjDZcRs30RCbSU9UBzrPYTqW+9n1L23M3xAn0vPoKUB6iuMW2t417k/PgXHPzMetxci3aKNgIhONsMi2bwlQXSKhIePk1VJon1Ou/HjXn0Uqo+f/7F3DwB7fdvXKBtEJpo/BsnGfWSSGQK9ILKXsVTpgR8EV2MjdRs3UrvyU+rWrcPV0ICte3cibppB1Ow5hGdn+X1IOB1OCj7ZQMlHy4nbsZm4+jM4VADHUtMInHYjo++9veOPPNbaWHXV2gusKTM+HzWl5r35Wak/dfFrW8OjNUC694Hufc1bH2MhQbZveIxsYxAXc7mMpb3qo3Dm6MX3NScu2FCqzFUF5g9+VIpbAKQY95G9jD1svMzV1ET9pk3UrPyUurVrcdXXExAdTeSMGUTNmU14djYq2D+u8uVyudi1ajPHPviY+PxNxDZUYw+wcazfSLrdNJMx99xKbGKCt5sJjhaodQuN1h5ljVsPs76i7Wts3aB7b7fA6GPcYlKN+/CEq9u+I9qQYOiqmmrg9OGLf/TPFMPZ4xevAojoBTHmElub+z7Gkn+g9X5MXc3N1G/eTO3KldSuWYurro6AqCgib7yRyDmziZgwwXIh4XK52JuznSP/t5SYbRuIrz+NPcDG0QGjCJs1m8x7b7Xm9QtaGtx6qa2f2WPm7aixM4K7wFAzKPpCbH+I6Wfcx/YzPrsW/Lx2JgkGf9Z0FqoOGQHgfqs6ZOzZ4y6kezs//Knm0ljvztkY6kWulhYjJD5ZSe3atbhqa42QmHkTUXPnGaubAn1zs5vL5eLzLTs5+N6HRG/dQI/aChwqgKP9RtBt5mwy77+dmB5+fibb5jpjgeZcYLQGSDGcLoaW2vPTqgCjJ+seFrH9zQBJNfZE6+IkGKyu8Yz5g3/ELQTM+wuXoqKSz38B3L8IMX2NXTYFALqlhfrcXGqWr6B29Wpc9fXGhuvZs4iaO4+wzDEom/dXix3ctpsD735IRG4OvapP4kRxtO9wgmbMZMz9X5HrHbfSGuor4cwRtwUk8/GZIxd/TyJ6nQ+LmH4Q1x/iBkHcgC4TGhIMVtBSD1VFUHnQuG9d6j99GBovOOt4VIrxoY4bYP74Dzi/VOTnS/2e4Gpupn7jRmqWL6d2XQ66sZHAhAQi58what5cQjMyOvV04YcLDrDv7SWEbl5H0ukTuFAcSxmMunEmNzxwp5y6+lo0VpuhceR8aLSGSG1Z22kjkyB+IMS13szA6N7XOCrdT0gw+AqXy9jQVnUQKoug8ovzj2tK3CZURjc4tt/5H/3WEIhJlR9/D3I1NFCXk0PNihXUrd+AbmkhMCmRqLlziZo7j5C04R4JiaN7iyh8ewnBG9eSUnHMGJY4AD3tJjIeuJPEy+1aKq5PS4O5IFZkfB+rDp1fSGuqPj9dQJC5QDbQ+D7GDTofHhE9LLchXIKhszXXmR8y88PVGgBVh4wjWVsFRxpLJvGDjQ9Z6+PY/vLj7wOcdXXUrVnD2eXLqd+8BRwOgvr2MUJi3jxCBg++rvmXHjxGwVtLsOWspk/5YQCO90jFPuVG0h/4Kr2H9u+IMsS10hoaTrsFRmuP3uzJux+j0y3KDAu3Hka8GRw+umrKcsGglJoD/AHjeKY/aa2fv9z0XgmG1qX/yi8uCIAiY/g5ythzIn7w+Q9K6+OInpZbyuiqHGfOGGeBXbGC+q2fgctF8MABRM2bR9TcuXTr1++K5lNeXMrOt5ag162mz4mDBKApie9N86TppN13J/3SL3t5c+ErXE5jQ3hVkREUrauAq4qM4e6iexvf99bvffxg4+bl77+lgkEpZQO+AGYCJcB24F6t9b5LvcajwdBcd351T5X5419pfgDcT8LWLcrtR99caji39C9XsPInjspKaj79lJrly2nMyweg27BhRM0zVjcFpyS3mb6ypJz8tz7EufZT+hw7gA1NaUwSDROmMey+Oxk4Js0bZQhPsTe2XR1V+YV5O9j2oNBuUe0HRky/K9vV1uUydkwJv7a90awWDOOBhVrr2ebzpwC01r+81GuuORjevc9YNxg/2Dj9QoDN2LPBPQBqS90aF3B+6b911U9rAFhwHaO4fvaTJ6n55BNqVqygadduAEJGpRN802y+OHGGxtwtRhhoF+XRPajJnsbge77C0PEZXm656HRaGwf1tYaEe2C0+Z2xGdsy4gefX9gMCjVOBd+6lqLicyN4InvBozuvqTlWO4leMuDeFysBsjr8rziajf38j25uu4EJjEP14wdC/6nmP8Zt6d9XT84mvCKoVy/i5s8nbv58zh4qZtdbS9BrV9Hjt7+hF1DSPYlDN97BgK/fwZTJY+QU1l2ZUsbZAqKTYcD0tuOaa9vvYRStNs626y66j/Gb1Hci9Bjmkab6YjC0t9h9UbdGKbUAWADQp8817LER2A2+8en5/Z+ba4xTHofGyKH24oo12Z2sO3CKZbvLWHOgnCb7UHrOHsXdyQFMH5nCTaM7+OJCwj91i4Sk0cbNnctpHMzntBurl8ITOmVjti8GQwngfj3HFKD0wom01ouBxWCsSrrmv6YURCQYNyGuQIvDxcaDFfxjVymr9pVT3+IkPiKYr43pza2jksjsG0NAgISB6AAB5mqlTuaLwbAdGKSU6gecAO4B7vNuk0RX53C6yD1cxT92lfJJ4UlqmhxEhwZx66gkbklPIrt/LIE2WU0k/IPPBYPW2qGU+g6wEmN31T9rrfd6uVmiC3K5NNuKT7Nsdykr9pykqr6FiG6BzBrek1tGJTJpYALBgRIGwv/4XDAAaK2XA8u93Q7R9Wit2Xm8mn/sKmX5njLKa5oJCQpgxrCe3JqexLQhCYQEef8cSkJ4kk8GgxCdSWvN3tIa/rG7lGW7yjhR3UiwLYBpQxK4ZVQSM4b2ILybfFVE1yGfdtFlfVFey7JdpfxjdxlHKusJDFBMGhTPD2YOZmZaT6JC/PuKb0JcigSD6DK01nxeXsvy3WUsLzxJ0ak6AhSMHxDHgin9mZPWi5hwubiLEBIMwq9prdlfVsuKwjL+uaeMwxX1BCgY1y+WB8enMXtEL3pEyilLhHAnwSD8Tus2gxWFZSzfc5IjlUYYZPeP498n9mN2Wi8SIuUIdiEuRYJB+IXWMPjnnjJW7CmjuKoBW4BifP84vjnZCIP4CAkDIa6EBIOwLK01e06cNcPgJMdOG2EwYUAc35o6gFnDexInYSDEVZNgEJbicml2HDvDyr0nWVF4kpIzjQQGKCYMjOeR6QOYNVw2IAtxvSQYhM9rcRino1i59ySr9pVTUdtMkE0xYUA8j944iFlpPekeJmEgREeRYBA+qaHFwfrPK1i59yRrDpyitslBWLCNaUMSmJ3Wi+lDe8hxBkJ4iASD8BnVDS2s3n+KTwpPsvFgBc0OF93Dgpid1os5ab2YNCheTkchRCeQYBBeVXa2kU/3lrNy70k+O3Iap0uTGB3CveP6MCutJ+NS5aylQnQ2CQbRqbTW7CurYfW+U6w5UM7ukrMADEgI51tT+jM7rRfpKdFycRshvEiCQXhcs8NJ7qEq1uw/xZr95ZSebUIpGN27Oz+aPYTZab0Y2CPC280UQpgkGIRHVNU1s+7zClbvK2fjwQrqW5yEBtmYPCie780czI1De8gBZ0L4KAkG0SG01hyqqGPVPqNXkH/sDFpDr6gQ7hidzE3DejJ+QJxsPBbCArwSDEqphcBDQIU56MfmxXlQSj0FfANwAo9qrVd6o43iyzU7nGw/coa1B4ztBUerGgAYkRzFYzMGcdOwnqQlRcn2AiEsxps9ht9rrV9wH6CUGo5xjec0IAlYrZQarLV2eqOB4mInqhvJ+fwUOZ9XsLmokoYWJ8GBAUwYEMdDk/szY1gPEqNDvd1MIcR18LVVSbcDf9NaNwNHlFJFwDgg17vN6rrsThf5R8+w7vNT5Byo4PPyWgCSu4fy1RtSmD40gez+cYQF+9pHSQhxrbz5bf6OUupfgTzgh1rrM0AysNVtmhJz2EWUUguABQB9+vTxcFO7lvKaJtZ/XsG6z0+x6WAltc0OgmyKcf1iuWvMMKYPTWBAQoSsIhLCT3ksGJRSq4Fe7Yz6CfAK8F+ANu9/C/w70N4vjW5v/lrrxcBigMzMzHanEVfG7nRRcLz6XBjsLa0BIDE6hFtGJTJtSA8mDownQq57LESX4LFvutb6piuZTin1GrDMfFoC9HYbnQKUdnDTBHC0qp4NByvZ+EUFuYeqqG12YAtQjOkbwxNzhjJ9aAJDekZKr0CILshbeyUlaq3LzKdfAQrNxx8D7yilfoex8XkQsM0LTfQ7NU12cg9VsfFgBRu+qOTYaWMPopSYUG7NSGLKoHjGD4gnOlROTCdEV+etdQO/VkplYKwmKga+BaC13quUeh/YBziAR2SPpGvjdGl2l1Sz4YtKNh6sYOfxapwuTXiwjfED4vnm5H5MHpRAalyY9AqEEG0ora2/ej4zM1Pn5eV5uxleV3KmgY0HjSDYdLCSmiYHSkF6cjSTByUweVA8o/vEEBwoJ6UToqtTSuVrrTPbGydbEy3sbIOd3MNVbDlUyaaiSg5X1APG0cZzRvRi8qAEJg6MJ1auaCaEuAoSDBbS2OJke/FpNh+qZEtRFYWlZ9EaQoNsjOsXy/1ZfZkyKJ6BPWRXUiHEtZNg8GF2p4tdx6vZXGT0CnYeq6bF6SLIphjdO4bHZgxi4sB4RqV0l9VDQogOI8HgQ1wuzYGTtWw5VMnmokq2HTlNfYsTpSAtKYp/m5jK+AFxjOsXK0caCyE8Rn5dvEhrzdGqhnOrhnIPV3G6vgWA/vHhfOWGZCYOiCe7fxwxsp1ACNFJJBg6WXlNk9kjqCL3UBUnqhsBY4PxtCEJTBwQz4SBcXIiOiGE10gweFh5TRNbD1eZt9McqTT2HOoeFsT4/nE8PLU/EwbG0z8+XDYYCyF8ggRDB7tUEESGBJLVL5b7s/qQ3T+O4YlRBARIEAghfI8Ew3W60iAYlhiFTYJACGEBEgxX6ZJB0C2Qcf1iuW+c2SNIkiAQQliTBMOXkCAQQnQ1EgxutNYcrqwnr/g024vPkFd8mmLzOsYSBEKIrqJLB4Pd6WJfaQ3bi0+zvfg0ecVnqDKPI4gJCyIzNZb7svowvn+8BIEQosvossHQ0OJg7DOrqW8xzurdJzaMqUMSGJsay9jUGLl0pRCiy+qywRAWHMjDUwfQLyGczL6x9IoO8XaThBDCJ3TZYAD47oxB3m6CEEL4HI+dklMp9TWl1F6llEsplXnBuKeUUkVKqc+VUrPdho9RSu0xxy1Ssi5HCCE6nSfP1VwI3AlscB+olBoO3AOkAXOAl5VSNnP0K8ACjGs9DzLHCyGE6EQeCwat9X6t9eftjLod+JvWullrfQQoAsYppRKBKK11rjauN/oGcIen2ieEEKJ93ri6SzJw3O15iTks2Xx84fB2KaUWKKXylFJ5FRUVHmmoEEJ0Rde18VkptRro1c6on2itP7rUy9oZpi8zvF1a68XAYoDMzMxLTieEEOLqXFcwaK1vuoaXlQC93Z6nAKXm8JR2hgshhOhE3liV9DFwj1Kqm1KqH8ZG5m1a6zKgVimVbe6N9K/ApXodQgghPEQZ23k9MGOlvgL8EUgAqoECrfVsc9xPgH8HHMD3tNYrzOGZwF+AUGAF8F19BQ1USlUAR4F4oLLDi/EOf6lF6vA9/lKL1HF9+mqtE9ob4bFg8AalVJ7WOvPLp/R9/lKL1OF7/KUWqcNzvLEqSQghhA+TYBBCCNGGvwXDYm83oAP5Sy1Sh+/xl1qkDg/xq20MQgghrp9lewxygj0hug75vncuSwWDUmqkUuoJgCvZjdWXKaX6KqX6eLsd10splegPX1qlVE9vt6GjKKWG+Mlnyy++71b8rlsiGJThBeAdIFApFeTtNl0rpVSoUur3GMdp/FUp9W1zuCX+F63MAxRfAdYDi5VSd3q7TddCKRXR+v9QSv2PVetopZSKAfYB31RKxXu7PdfCX77vVv6u+3wDTQlAIjBGa/2s1tru7QZdh0eBJK31cGAh8D0ArbXLm426BrcBiVrrwcAy4BdKqcFebtNVUUolA29ifA/mYYTcr73aqOuXDBwAwoEML7flWvnL992y33WfDQalVKTb02hgkNa6RSk1Wyn1uPsFfnydUirCvA/AeM93m6OSgH8qpYZ6q21Xy+3aGU6gAsA8YeInwLeUUt291bZr0AT8SWv9mNb6JPA+UKCUSvdyu66KuYTdujrvLPABxgkopyul4rzXsqvjtiQdhbW/7zazFoVFv+s+FwxKqYFKqfeB/1VK3ayUigXqgM1KqV8A/w/jC/2iUurB1h9dX+RWy1+VUjcDNoyluf5KqY3Ar4BaYLVSaqavrqs311m/qpQK1Vo7zcHBwGmlVJL5/DfADRgXYPLJjYXudQBorauAHLdJegP9gfauI+JTLvifaLd18DdgnFLmaaAHcK9S6g6llE9e1PyCOlqXpAOADVb6vl/4HTFrKQX6WOm7fo7W2mduGB+IZcBPMS7o8zLwgjnujxhf4lHm87swlowivd3uK6zlVeA35rhojKXTXubzR4Dl3m7zJeqYBGwDXBinU28dnmjWNwcINoctBD7wdpuvtA7M3bXdphkC/N3bbb3GWgLM+wHAY+bjtRg9uye93ear/GzFAIuAdVb4vl+mjgArfdfdb77WY0jEOOHec9pYPfEsMFkpNQX4E2AHxgBorT8A4oDIS8zL2y6s5b+ASUqp2zB6QOVAmDntn4AwH+32V2Gc8HAw8G9KqVQAbZwNdyXG5Vtb12X/DTjjoxsLL6yjrza/qW5GA4cAlFIP+fAqpYv+J/r80vZ4jA3PhcBJ4F3guFIqrP1ZedWlPltnMBY6mrDG973dOjBW50UAJ7DGd/0cnwoGrfUJIBOY6fb8FeCnWutdGEcI3qqUesrsnhUCp73V3su5TC3f1cbqmN7AAqXUfIwf2O0Y64d9itZ6P1CktS4CVgH/6Tb6ZYyr8T2plPohRjAc1j64sbCdOn4BF+0hMgOIU0otAe7D+GHyOV/yP/kbxmfp37XW9wFLMT5rPrfq4kvqWIVxed9bfP37fqk6zAWPkxiXFnjI17/rbXip6xUP9HR7roBA8/F8YJPbuO7Ae8AE83ka8EPgHm93t66xlv8zaxgCfBv4py/U0l4dFz7GWForAma4jQsBpgJ/AB6wah3m8BXAXuAub9dxvbW4TRdg5TqAkb7yfb+O70g68B++8l2/olq98OY+jbEB9gPgeXNYgNt4G8a60e+5DfsrMMLbb1YH1fKGr9XyZXW01mLefw9YZj6+Fwjzdvs7qA4FTPN2DR1US4i32y+frTZ1hHq7/Vddbye+sSHA8xgbYhKAnkADEGuOd0/fMcAR4A7gASAfGO7tN8vfavmyOi6Y1r2mMxhd4dcw1p2qzmqzh+p43Vd+TDvqf+IvdfjBZ8sn6rjqujvhje3u9jjR7fE0jA1jaRdM37p3xe0Y6+o2AJO8/Ub5Uy1XW4fb+GiM3VJ3AxOlDqlF6vDtOq65fg++sXHAS8CnGEcADjWHBwKzgGLgtxi7ed3L+W6YzyWrv9RyrXW4vT4ASJc6pBapw7fruO73wUNvbrb5xi0EpmAc3LHIbXw855emb8HYSh/k7TfDn2uROrzfdn+tRerwfts7+uap3VWrgd9prRdqrTcAWwCUUiFKKaW1rtTmftda62UY+/Une6gt18tfapE6fI+/1CJ1+JlAT8xUa31AKXXcfDM1xoFpA7XWTWCcLkFrrZVSw4BngKMYh4/7HH+pRerwPf5Si9Thf66rx6CUCr7g+bmDaLTW9eabC5DK+ZNJAXRTSv0LxvEJa7XW87XWLdfTluvlL7VIHb5VB/hPLVKHb9XhSdccDEqp/wA2KaWeU0o9AMaRfu5Hkro97oex7g5lnO8+DOMIwCyt9X9faxs6ir/UInX4Vh3gP7VIHb5Vh6dddTAopeKVUv+LcfK0R4EvgK8q89wfrevglFLp+vz5W9KAQUqpFcDXMLbkn9JaN3ZEEdfKX2qROnyrDvCfWqQO36qj0+gr32LfepoHG5DtNvwe4Pduz3tiXPxkI8Y5yPsANRhnRr3jSv+eJ2/+UovU4Vt1+FMtUodv1dHp79uVvLHACxjnwpnlNtyGcUbBYxgXafkjxknIRgCPXjCPf/N2of5Ui9ThW3X4Uy1Sh2/V4bX370veXIVxBs23gPsxzhz4CObpAzDOQ956Lv6vAZ/R9rDwYG8X6G+1SB2+VYc/1SJ1+FYd3rx92e6qkRjn2p+tta5VSlViXBv368AbWutNbtMWYpyZMlopdVYbfGmLvb/UInX4Vh3gP7VIHb5Vh9dcduOz1roG4xDw+eagzcBOIEsp1at1OmVcbu+nQKPWulqbsetL/KUWqcO36gD/qUXq8K06vOlK9kr6EMhQSiVqresw9uttBnop46LXTwO5wBda60c82NaO4C+1SB2+x19qkTrEFQXDJoxL180H0FrvAMYBEdq4EtkmjC7bQg+1sSP5Sy1Sh+/xl1qkDvHlp8TQWpcppZYCzyulijBOHNUEOMzxOR5tYQfyl1qkDt/jL7VIHQLOX47uyydUai7GFvwJwEta65c82TBP8pdapA7f4y+1SB1d2xUHA4BSKgjjCHKH55rUOfylFqnD9/hLLVJH13VVwSCEEML/eep6DEIIISxKgkEIIUQbEgxCCCHakGAQQgjRhgSDEEKINiQYhBBCtCHBIIQQog0JBiGEEG38f/Cn/AFS/vlFAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "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": 25, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:431: RuntimeWarning: divide by zero encountered in double_scalars\n", " axes_distance = 1/gcr\n", "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n" ] } ], "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": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "aois.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ensure that max_angle works." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "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": 28, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n", "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:560: RuntimeWarning: invalid value encountered in arccos\n", " surface_tilt = 90 - np.degrees(np.arccos(dotproduct))\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 29, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n", "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:560: RuntimeWarning: invalid value encountered in arccos\n", " surface_tilt = 90 - np.degrees(np.arccos(dotproduct))\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 30, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 31, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 32, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n", "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 33, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n", "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 34, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n", "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 35, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n", "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 36, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n", "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 37, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n" ] }, { "data": { "image/png": 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qYbKCWipyhqwsbvz4I2EdO5H499+4vvgiFTdvwn3QICysrbUO7z72jRsDkHro8MM3TL2h9luo8Ry4BxZBZIVjDonh33oCi3JfLwLMYxzahyn/NJRrDAe/e+jIqyfW78RWn4VH2zZFGFz+Wdva0PnDkfdUUB8g/tkerBk5iVsJcogNybQURVGHsOjSlbjpM7CvX58Ka1ZT+oP30bm4aB1enqz9/bH08iLtyCMSw+F5kJ0GLcYWTWCFpHViUIAtQohgIcTQ3GXet6fzzH3O3zi4Wnv6LUi8DGfXPHCTuG27yLKwpE5380wMt91XQf1UQyptWc6pNh3YPvsXWf8gmUR6yGkuv/wy0aNGYWFnR7mffqTcD99jU6GC1qE9lBAC+yaNST30kHqGrFR1lISqXcGratEGWEBaJ4ZmiqLUAzoDbwohWuZ3RyHEUCFEkBAiKD4+3nQR5leVLuAWqN5HfMAbxPnkESLLP4WDs2MRB1cw5atXpMdfP5Hx9Q+kOLlSZu6XbGnTg5PbDmgdmlRCZF+LI2b8BCL69iXrUjilp0whYOUKHJs10zq0fHNo3AT9zZtkhobmvcGJPyA9AZqOKNrACkHTxKAoSkzucxywEmgEXBNC+ADkPuc5jrSiKPMVRWmgKEoDT09tJ84GwEIHT4+AmGNwef9/VoefOI93Uhy6Jk9rEFzh1O3ckrY71hE1dCzOiXFYjRjM6gHDuRpeyCGHpSeWIT2d+O++I6xTJ5LXr8d98KsEbt6Ea//nEZaWWof3WG7XM6QdPPjflQYDHJyrDtfv16SIIys4zRKDEMJBCOF0+zXQAQgB1gADczcbCKzWJsICqD0A7N3h0Lz/rDq3ZjMAlXt0LOqojEJnqaP9mMFU27aZ0DbPEnBiHzHdu7H+/S/JSEvXOjypmFAUhaR16wnr3IXrc77FsUULKmxYr/ZYdnLSOrwCsS7ri02lSiRvzGMsstDNcDMMmr5pNrOz5YeWJQZvYJ8Q4gRwBFivKMom4AugvRAiFGif+3PxYGWnTgF6fgMkRt63yrBvD3GlPAms+5RGwRmHs4crPeZ+juPvfxEdUJ0KK37h8DMd2bdopax/kB4q49w5rrz8CjFjx6Jzc6X8ksWUnf0N1rk9iIuzUt27k378OFmR93/uOTQXSpU1m7mc80uzxKAoyiVFUWrnPqorivJZ7vIbiqK0VRSlUu5z/gciMgcNXlWfgxbeWRR1Phz/y2dIbtpao6CMr0KdqnRf+xuJU6ajt9DhPvV9NnZ5Xs5BLf2HPjGRqx9/Qnjv58i8eJHSH31EwPLl2DdsqHVoRuPcrSsAyevW3V0Yfx7C90DDV0FXvG6PaV35XPK4lFMroo8tguwMAI7/+DsWKNQc/KLGwRlf0/5dab5rExEDhuEVHUbWoBdYPWQsCVdvaB2apDFFrydh6TLCOnUm4c8/cR0wQK1HeL6fyYbC1opVmTLYN2hA0pq1d1snBS0ECyuo+4q2wRWATAym0GgopN2A0yswGAw47d5MRNkq+Ncq2Pyy5s7a1obOk0fhv2E9YY3aErhvA+c7dmLrzJ/kBEFPqLRj/xDRtx9XJ0/GpmJFAlauoPSHE4ts5FMtlOrRnazwcDJOn1GbqB7/A6r1BEczaBzzmGRiMIWAluBRGYJ/4Z/1u/BKjseyaw+tozI5z3I+9Fw0GzF/EYlupSk7fzpb2/fi9J6jWocmFZHsuDhixo3j8gsvkHPjBmVmTMdvyWLNBrorSqU6dkRYWZG0ahWc+ksdebnhEK3DKhCZGExBCKj7MkQe5vqvP5NuaUPT//XROqoiU71lQ9pvXUXUsHdxuXkVZehAVg8eQ0KcvL1UUinZ2dxY+DOXOnchecNG3IcOJXDDepy7djX6lJrmSufsjFOnTiStXIl+/4/gVa1YNVG9l0wMplLrebIzLfENCSaybnMcXUppHVGR0lnqaD/6Vaps3kRY0w4E7t/E+Q6d2TbrZ9l6qYRJCwoivHdv4qZNw75BAyqsW4vXmNFYODhoHVqRc3vlZQypqSQdDIN6rxSrJqr3konBVJy8uRRZBZ1eodqI4lmcNAbX0u70/HkWzPuZJBdPfL+fxpZ2vTi7L1jr0KRCyrl5k5jxE7j80svoU1MpO/c7yv3wPdbly2sdmmbsatbELsCdm6EOKNV6ax1OgcnEYCKpSSmknkrDsUwGlVyuah2O5mq0bky7bWuIGjIG1xsx6F97hdWvvUtifPFqjSyps6gl/LmUsM5dSFq3DvfXXiNw3Tqc2pj3GGBFQp+DW0A82SmWpASd1jqaApOJwUT2frcIu8xMnGtZwPFftQ7HLOgsdbQf+xqVNm0krFFbKu5dz9kOndk57zd5e6mYyDhzhoj+A7g6ZQq2VapQYdVKvN4Zg4W9vdahmYdLu3DyuIqlhzM3flqYvwl8zJBMDCaQlZGJ3cqlRHr549j+WQjdCpm3tA7LbLj5eNJz0WwM3/1EiqMrpb/5lA1d+3M55AGDkEma09+6xdVPPyO8T1+yo6MpM+1L/Bb9gk1FbaaoNVsnfkfYu+A+7HXSg4NJO3RI64gKRCYGE9g1ZxFet+Kx/d9gLGr0hpwMuLBZ67DMTs22TWm9Yx0RA4ZRJvICCc8/x7oJX5KVkal1aFKuO2MbdelCwm+/4dq/P4EbN+Dco8cT09oo37LS4NwGqPEcLv36Y+ntTfycb4tlqUEmBiPLSEvH/s9fuOIdQPOBvaFcE3AsDadXah2aWbK0sqTz5FF4r1hFZMXaBK78hb1tuvLPxj1ah/bEy7pyhcjBQ4gZOxYr79L4L1tG6Ukfoiv1ZLWwy7ew7ZCTDtV6YmFjg/uwoaQfO5b3qKtmTiYGI9s5fT7uqQk4vzkCCwsLsLBQez/K20kP5VvZn+6rlxA/7hNsM1KxHj2c1QNHyr4PGlCys7m+YAGXuvcg/cQJvD+ciP/SP7GrWUPr0Mzb2bVg5wrl1bkkXPr0wdLbm7hvvil2pYbiNbKTmbuVkIzLit+IKFuFjn063V1R/Vk48oN6O6nmk9PRrSBa/q8PyT3bs3P8pwTuWc+5DofIGPY2rYYNUBOtFhQFcjIhKyX3kareNjBkgyEn96G/53XuzwAWlv966O6+1lmDtcM9D0ew1HZO4/STJ4n9cBKZ58/j1L4d3hMnYuXtrWlMxUJOFlzYBFW73Rkwz8LaGs+3RhA78UNubdpEqc6dNQ4y/2RiMKKdk6ZRKeMWtu++c/+XWLnG4OSj3k6SieGRSrk503P+V4Ts7EPKpMmU/eZTNq5ZTfUvPy38eFOZKXDrKqTGq+NZ3ftIT7jndWJuAkhVk4FSRGM+WVjdTRLWDuoVqL1b7sP9/oedmzoOj1MZsLIt1Gn1KanEf/MNCb/+iqWnJ75zZlOqfXsj/VJPgIi9kJGkJoZ7OD/7LDeX/Erc9Bk4tmmDhY2NRgE+HpkYjORySCjlt68mtFZzenRscf9KCwuo0hlOLgN9NuistAmymKnRujFVd6xj69Tv8Fn2M4n9n2NdjxfoMGUM1rZ5fMCy0yEhAhKvQHI0JMdCcgzcilGfk2PV8WvyYmWf+4Xrpn7hOpfN/XJ2vP+K/vZrK3v1/2hheff53tKAyB099N+liHt/1mfdk3xS7ymN3H7cUpNV4hWI+UdNWPqsvOO3c4NSZdQLkFJl7n+4+IOL3wNLI7d27OTqxx+Tc+0argMG4DlmNDrH4jH9rNk4tw6sHCDw/qH1hU6H97j3uPLqYBJ+/RX3wYM1CvDxiOJ27ysvDRo0UIKCgjSNYc2zAyl34TheK1fjW9n/vxucWQPLXob/bYTyxW96T61FX4jg2LsfUvF8EDdcPSgztDMVAnRqIkgIh5vhkPKvjoTCAhy97/nC9IVSPuoVtqPn/Vfe1sWgHb6iqAnjTinnJqRcuz/x3X6d+q950IWF+vu7+oNbALj6k40715bs5NaeI9hUqoTPJx9jV6eOJr9asWYwwMyq6rhI/RbnuUnksOGkBQVRYeMGrLy8ijjAvAkhghVFaZDXOs1KDEKIcsBioDRgAOYrivKNEGIK8Bpw+539vqIoG7SJMn8OL99EpbNHuNj1BermlRRAHXFVWEDYTpkYHkVRICkKrp+H+Atw/Ty+8RfwbXaeW56pWAbryZy2mGtVUvFo6oDOqwJUbHf3S8+lvJoMHL2L3QQpDyUE2DiqD9dHDDuRk6UmyqTou8kzIQJuhqOc20jiyVTiTpRC0Qs8a97CveEFxIlJEFMVPCuDRxXwrAIOnsV2vJ8iE39WTdCVOjxwE+/3J3Cpew/ivpyG74zpRRhcwWj5qckB3lEU5Vju3M/BQoitueu+VhTF/P96QFpKGhlffU5GKU/afvTOgze0c1EnBL+0E9p8UHQBmruMJLgaAtdC4OpJuHZaTQbZqXe3sXNVv6iqdsWpeRXEa97s/2Y9HDvMuWhP7CaMolGvB38on0iW1urtIxc/KN/0zuLMixeJnTSZ9GPHsK9XA5/BnbG2ToTrF9QZx47/pt7Sus3WBTyrQukaULomeNcEr6eKRwmrqETsV5/9WzxwE+vy5XF/7TWuf/cdLn2ew6Fp0wduaw40SwyKosQCsbmvbwkhzgK+WsVTUNs/+JKKyfEkf/I19o6P+LAEtoa9M9SKTTuXognQXNwuBcSegKun7iaCxCt3t7F3B+/qUPcl9arVs6qaEBw87rtqdQQ6/t6Xoyu3wuef4PT+26xe2ZaWMz7C1cu96H+3YuB2E9Tr875HZ2+Pz9SpOPfq+d9Oaoqi1s/En7+bLOLOwomlcPRHdRthAe4VwTs3WZSuCT51iuWENEZxeR84l3tkKc79tSEkrV3L1Y8+JmDVSixsC9dgwJTMoo5BCOEP7AFqAGOAQUAyEIRaqkjIY5+hwFAAPz+/+pcvXy6iaO86f+g4mf97iYgaTeix/MdH7xCxH37pAs//Ck91N32AWkq7CdHHIOYYRAerr1PjclcK9Yvl3qvQ0jXBqfRj37ZITUph+/jPqLBzNcl2pcgZOZaWT9DcF/mRfvo0sR9MJPPcOUp16YL3B+9j6f6YCdRggMTLuQn9VG4p79T9id3FTy0V+9YH33pqsrAp4ZXYigJfVVRvZfb+4ZGbp+zfT+TgIbi9+ire771bBAE+2MPqGDRPDEIIR2A38JmiKCuEEN7AdUABPgF8FEV59WHH0KLyOTM9gz3te+B0K4EKa9fg5efz6J1ysuBLf6jdH7rNNHmMRSYrTS0JRAffTQQJEbkrhTqb3b1fFt7V1JY9RnRq+0GuTZqE740oQqs1pvHMz/H2L2PUcxQ3hsxMrn83lxs//YSlmxulp0zGqW1b454kPVFNFjH/3L0ASMy9SBMWaonPtz741lWfvapr3lfDqOLOwdzG0ONbqPdyvnaJnTyFxGXLKP/br9jXq2fiAB/MbBODEMIKWAdsVhTlP9+UuSWJdYqiPLTLpRaJYe3bk6m4eRlx735Mq8F987/jb/3gZhi8VYznI7h1Fa4cUh+RhyD25N12/s7loEzd+xOBbdEMoZCVkcmWD6fjt/4PMixtSH51BG1GDtSuY5yG0v75h9gPJpJ16RLOvXvjPe69optvOfX6PYki95GW24Pd0lZ9b/g1Ab+mULZh8b6temQBbBgLI/8Btwr52kWfkkp4z55gqaPCypWajUxrlolBqDc3FwE3FUUZdc9yn9z6B4QQo4HGiqL0f9ixijoxnNx2AIu3XiOsdjN6/jn/8XbePQ12fgbvxxj9qtkkDAb1XvOVgxB5WH2+XRqwtMv9kDdWP+Bl6oGT9r1kQ4+cJGzcB5SPvcilgJrUnDEVv2qBWodVJAzp6cTP+oabixdjWbo0Ph9/jGOL5toGpSjqLafoYIg6ql5QxJ7IvZgQd6fAvP1wLld8WkItHwSRR2D06ceKOfXwEa4MHIjrSy9ReqI2jVHMNTE0B/YCp1CbqwK8DwwA6qDeSooAht1OFA9SlIkh7VYqh9t1xTo7k2qb1j1+Zeft/gyv7VSvqM2NQa9+aCP2wuUD6oc4I1FdZ+9x90rPrwmUrmW2twX0OXq2TP0O76U/ARA34DXaj3sdnaVO48hMJ/XQYWI//JDsyEhcBvTH6513zLejWlaqmiiuHMq96DiqdugDtZ+JXxPwb5tTVhgAACAASURBVAb+LcGjknkmCkWB6ZWhwjPw3ILH3v3qZ5+TsGQJfr/8gkOTxkYP71HMMjEYU1EmhtVDxlJ533qSP/maxn07PXqHf7seCt82gF7zoM4Lxg/wcRkMaiVi+N67ySAzWV3nXvGeRNBULSqb4wf0Ia6cCePU6HFUuHya8HJVqf71NMrXqKR1WEalT0khbvp0Ev9cipWfHz6ffoJDo0Zah/V4DHq1qfLtUunlg2pnPVBHJ/ZvDgEt1Cah5vI+vBEGc+pBt1nQ4H+PvbshPZ3wXs+i5OQQsHpVkSdxs+zgVhwd/msTlfet58LTnehZkKQA4BqgDp4Wd9a4weWXwaB2yLmdCCL23S0RuFVQB/wLaKl+EJ1KaxOjEflVC6TsxmVs/Wo+3ku+50b/PpwtQaWHlL17iZ00mZyrV3EbNAjPt0diYWendViPz0IHPrXUR6PX1Kvxm5fU9+jt92rIX+q2pXzV96d/CzVZuPprE3PsCfW5gCV/Czs7fL6YyuWXXubqpMmUmTHdbOa4kIkhn66GR2H4dBJXXUrTduZHBT+QzlJtpRN/znjBPUpStNqxLmwHXNoNadfV5S7l4aluanHdvzk4F7tuJPliYWFBx3HDiezZgZNvv0eFJd+xedf2Yl160Ccmcu2LL0latQrrwED8//i9ZA1nIQS4B6qP+oPURHHjIoTvUZPExe1wcqm6rYsfBLaBCq2hQiu1Q2RRiD2uDnro+VSBD2Ffty6eb71F/KxZ2DdujOvz/YwYYMHJW0n5kJOdw5YufSkTE4btgsVUfbqQH8C/BqtF5tEhxgnw3zJT1JLApZ3qEBzXz6vLHb3vfnj8m6sfqCeMwWBg21fzcV/yPQKlWNY93Nq+ndgpU9DfTMD9tSF4vPEGFtbmWddjMoqiXlyF74Xw3WrCyExWm8iWqad2Jg1sozaKMNWglYt7qoMcDivcpFKKwUDka0NJCwrCf9lSbKtUMVKADyfrGAppzagpVNq0lKjX3qH9O0MKf8A902HHJzAhCmycCn88gx5ijsOlHWoiiDyizhVgaaeOyxTYRv2geFUzj3uzZiDy3CW19FCM6h70SUlc/ewzktesxaZqVcp8/hm21appHZZ50OeoldlhO9QLoqggtdWTtaN6yymwjfpwDzTOZ0BRYFoAPNUDeswu9OFybtzgUq9e6BydCPhrORYOpm+xKBNDIRxatgGnSWO5WKcFPf98dM/GfDm3Hv58AYZsh7J5/l8eLTkGLm5TH5d2360nKF3rbiIo16TQ4/SXZAaDgW3TF+C+eJ7Zlx5Sdu8mduKH5CQk4DFsGB7DhyGs5PDtD5SeqN5yCsu9hZoQri53Lqd+Niq2U1sT2Rawb0fiFZhVE7rOhIbGGUo79dBhrrz6Ks7du+HzxRcmr2+Qlc8FFBt2BT6bzDXX0rT9/ivjHdizqvocdzb/iUGfo7YBD92iThN67ZS63KmMOjlIYGsIaPXkjldTABYWFnR4bxiRPdpzctQ4s6x70N+6xbUvviDp7xXYVKpI2e/nYVe9utZhmT87F3XYmdtDz9wMv1vPdno1HFuszpvh1xQqtVdHRvWsmv/SxO2KZx/j1es4NGmMxxtvcP3bb7GrXx/XftrVN8gSwwNkpmews0tfvOOu4LBwMZUb1zbewQ16+LwMNBwCHT978HYp8WqJIHSLOtF4RpI6AcydN3N7eXvISAwGA9tnLMBtkfmUHlL271dLCdeu4T5kCB4j3nzy6hJM4UEXWc7l7iaJgJYP74C641PYOxPejwYr47UCU/R6IocOI+3IEfwWL8K+bl2jHfvf5K2kAlj98ltUPrqNq29PpPXrLxr12AB830IdNfTllXeXGfTqUAKhW9RHzD/qckdvqJibCCo8U7yHEDBzUecucWLUOCpEhGhW92BITeXaV1+R+OdSrAMCKPPFVOxqG/HCRLpfUvTdC7BLu9Rhx3XWUL6ZmiQqdfhv3cSvfdTbuW8cMHo4+sREwvv2Q8nIwP+vv7DyNs3EPjIxPKZNn8+l/OI5hLbtTY/vHnJFXxgrhqpXK+0/Vou0l3aqb860G2rLirIN7169eNdUpweVisR/Sg8vDKP9uOHodKb/H6QePkLs+++THROD28CBeI5626yHZy5xcrLUDna3SxO3W/S5BtxNEv7NYVYN9WLt2XkmCSPj/AUi+vfHtkoV/BYvMklJUSaGxxC8dgfW773F5YAadFr9G5ZWJqqGObkMVg6/O/icvfvdUkFgG3XuYUlTUbktlwIunybMvzq1Zk3Dr2r+Bkp7XIb0dOJmfk3CkiVY+flRZurn2Nevb5JzSY8hIUJNEKFb1SaxOenqfN/ZadB5GjQeZrJTJ2/aRPSo0bj07UPpjz82emW0TAz5FHU+nKjnnyfDxo7aa1eYftIXfbY6KUpWqtpJRpYKzI7BYGDbl/Pw+G0+irDg+qA3aT/6VaOO2Jp27B9iJ0wg6/JlXF98Ea93xmg24qb0ENnpar+J0M1q8/DnFuR7RNWCipv5NTfmz8d70oe4vWDcIXRkYsiHWwnJHOreB7fEOEotXEylRrWMFJ1UElw+eZ6zo9+jfPQFQgPrUG/2NMoGlivUMQ2ZmcR/M5ubP/+MlY8PPp9/rslgapL5UvR6ot54k5S9eyn3/TwcW7Y02rEflhjkJSqQnZnF7heH4nMjmozxH8ukIP1H+VpVaL95BZH9h1I+PISYZ3ux+dslFPTCKv3UKcJ7P8fNhQtx6duXgDVrZFKQ/kPodPjOnIFNlSpEjxpNxrmiGUrniU8MBoOBDUPeIfDSCaIHvkWzl3poHZJkpnSWOjpMGY3zr3+S5OaN37efs+rZQcReeeio8PcxZGUR9/UsIvoPwJCSQrkFC/D5+CN0jsVgbg5JExYODpT7fh4WTk5EDhtO9tWrpj+nyc9g5ja8/yWVj24jtN1zdBw/XOtwpGLAv1512mxZzZXeAwk8H0xE9x5sXbDskaWHjDNniOjTlxs//IBzjx5UWLtG+0l0pGLBytubcj98j+HWLSKHv44+JdWk5zPLxCCE6CSEOC+EuCiEGG+q8+z4djGBqxYTWvNpus4qxIip0hNHZ21Fx8/H4/Dzr6SVcqXsjMn83W8oV2Pi/7Otkp1N/LffEd7veXISblJ23lzKTP0cXamimfJUKhlsq1bF95tZZIaGEj16NEpWlsnOZXaJQQihA74DOgPVgAFCCKOPFHYtIga3edOJKFuFDou+NcvxcSTzF9ikDq22riWyW3+qhhzgYtfubFu0+k7pIeP8eSKe78/1b7+lVKdOBK5di1Pr1hpHLRVXji1a4PPRFFL37iVm/HgUvd4k5zHHsZIaARcVRbkEIIT4E+gJnDHmSbz9y3Bp0lSatGqCrX0xnNhEMhuWtjZ0mD6ZC907kTN+Ar5Tx7N802Ya+rmQsXY1OhcXfGd/Q6kOHbQOVSoBXPr0QZ+URNxX07FwKkXpKZON3sfBHBODLxB5z89RgEmaazR9vqspDis9oSq3aoz/9vXsHPcp1beuJOWEBamde9Ng4hgsXYto8hjpieA+eDBx0fHEHD+Od2Ymwsi9480xMeSV+v5TqyeEGAoMBfDze/ImnJHMk7W9HR3nfMb5A8/x6c5I9t6ypPumCD7u4YCrgxwATzKO8OupvCzqY1+/Hlt0Vhh70BSzq2NALSHc23OoLBDz740URZmvKEoDRVEaeHrKoaYl81Ll6XosHN+dsR0qsykklvZf72HLadM3M5RKvtikdF768TAGYOFrT2NrZfz6UXNMDEeBSkKIACGENdAfWKNxTJL02Kx0FoxoU4k1I5rj5WTD0CXBjF56nMQ007UmkUq25IxsBi48QlJ6Nov+14iKXo4mOY/ZJQZFUXKAEcBm4CywTFGU09pGJUkF95RPKVaPaMaodpVYeyKGDl/vYce5a1qHJRUz2XoDb/x6jEvxqfzwcn1qli3g7HP5YHaJAUBRlA2KolRWFCVQURQTjXstSUXHSmfBqHaVWfVmM9wcrHn1lyDeXX6CpPRsrUOTigFFUfhg5Sn2XbzO1N41aVbRw6TnM8vEIEklVQ1fZ1aPaMaI1hVZ8U80nWbtYfeF/3aKk6R7zd0VxrKgKN5qU5G+DQo3eGN+yMQgSUXMxlLH2I5VWPH60zjaWDJw4REmrDjJrQxZepD+a82JGL7afJ6edcowpn3lIjmnTAySpJHa5VxY+1ZzhrcKZOnRSDrN2su+0OtahyWZkZNRiYxdfoJG/m5M61PL6B3ZHkQmBknSkK2VjvGdq/LX609jY2XBSz8dZuKqU6Rm5mgdmqSx+FuZDFsSjKejDfNeqodNEQ7bIxODJJmBen6ubBjZgiHNA/jt8BU6fbOHg2E3tA5L0ki23sCbvx0jIS2LH16uj7ujTZGeXyYGSTITtlY6JnarxrJhTdEJwYAFh5iy5jRpWbL08KT5ZN0ZjkTc5MvnalHD13TNUh9EJgZJMjMN/d3Y8HYLBj3tzy8HIuj8zV6ORtzUOiypiCw7Gsnig5d5rUUAPev4ahKDTAySZIbsrS2Z0qM6fw5tgkFR6PfDQT5Zd4aMbNMMsyyZh5DoJCauCqF5RQ/GdaqqWRwyMUiSGWtSwZ1Nb7fkpcbl+WlfOF2+2cuxKwlahyWZwK2MbN78/RjujtbMHlAXS512X88yMUiSmXOwseSTXjX4bUhjMnMM9Jl3gKkbz8rSQwmiKArjV5wiKiGdOQPq4qbxSLwyMUhSMdGsogebRrXg+YZ+/LD7Et3m7ONEZKLWYUlG8PuRK6w/Gcs7HSrTwN9N63BkYpCk4sTJ1oqpvWuy6NVGpGTk0HveAb7afI7MHFl6KK7OxCTz0doztKzsyfCWgVqHA8jEIEnFUqvKnmwe3ZLedX35bmcYPebsJyQ6SeuwpMeUmpnDiN+P4WJnxcx+tbGwKJqezY8iE4MkFVPOdlZ81bc2Cwc1ICEti57f7Wfm1gtk5Ri0Dk3Kp0/XnyX8Rirf9K+LRxF3YnsYmRgkqZhrU9WbraNb0bN2GWZvD6XXd/s5E5OsdVjSI+y5EM8fR64wtEUFmga6ax3OfWRikKQSwNneipnP12H+y/WJu5VJz+/2MWd7KNl6WXowR0np2Yz7+yQVvRwZXUQjpj4OTRKDEOIrIcQ5IcRJIcRKIYRL7nJ/IUS6EOJ47uN7LeKTpOKqQ/XSbB3dkk41fJix9QK95x7gbKwsPZibT9adIe5WJjP61jbJnM2FpVWJYStQQ1GUWsAFYMI968IURamT+xiuTXiSVHy5OlgzZ0Bd5r1Yj5jEdLrP2cdXm8/Jfg9mYvvZa/wVHMXrrQKpXc5F63DypEliUBRlS+7czgCHgLJaxCFJJVnnmj5sG9OKXrktl7p8s5dDl+SIrVpKSM1i/IpTVC3txMi2lbQO54HMoY7hVWDjPT8HCCH+EULsFkK0eNBOQoihQoggIURQfLycGlGS8uLqYM30vrVZMrgR2QYD/ecfYsKKk3KuaY18tuEsCalZTO9bG2tLc/j6zZtQFMU0BxZiG1A6j1UfKIqyOnebD4AGQG9FURQhhA3gqCjKDSFEfWAVUF1RlIfeJG3QoIESFBRk5N9AkkqWtKwcZm0L5ce9l/BwtOHjntXpVMNH67CeGEfCb9Lvh4O8/kygpgPk3SaECFYUpUGe60yVGB5FCDEQGA60VRQl7QHb7ALGKory0G99mRgkKf9ORSUx7u+TnIlNpmN1bz7uWQPvUrZah1WiZesNdJu9j5TMHLaNaYWdtfYVzg9LDJZFHQyAEKITMA5odW9SEEJ4AjcVRdELISoAlYBLBTlHdnY2UVFRZGRkGCVmSXu2traULVsWKysrrUMp1mqWdWb1iGb8uDecWdsu0G7GbiZ0eYr+DcuZTc/bkuaX/RGcv3aLBa80MIuk8CialBiEEBcBG+B2TdghRVGGCyGeAz4GcgA9MFlRlLWPOl5eJYbw8HCcnJxwd3cvsgm0JdNRFIUbN25w69YtAgICtA6nxAi/nsqEFSc5dOkmjQLcmNq7JoGejlqHVaLcSMnkma920cDflZ//10jrcO4wuxKDoigVH7D8b+BvY5wjIyMDf39/mRRKCCEE7u7uyIYGxhXg4cAfrzVhWVAkn60/S+dv9vJW64oMbVWhSCefL8m+2R5KWraeD7o+pXUo+Wa+1eJGIJNCySL/n6YhhOD5hn5se6cV7Z7yYsbWC3T5Zi8Hw2TT1sK6GHeL3w5f4YVGflT0ctI6nHwr0YlBkqT883KyZe6L9fl5UEMycwwMWHCIMcuOcz0lU+vQiq0vNp7H3krHqHbm22chLzIxmEhiYiJz5841yrGmTJnC9OnTjXKs22bNmkVa2t3GYI6Oj3dfedeuXRw4cMCoMUnmoXVVL7aObsWbrQNZeyKGtjN288eRKxgM2rRgLK5ORSWx7ew1XmtZAXczGjk1P2RiMJEHJQa9vmiHJXjQ+f6dGB6XTAwlm521jnc7VmXDyBZUKe3EhBWn6PO9HHfpcczadgFnOyv+18xf61AemyaVz0Xto7WnjT4McbUypZjcvfoD148fP56wsDDq1KmDlZUVjo6O+Pj4cPz4cc6cOUOvXr2IjIwkIyODt99+m6FDhwKwadMm3n//ffR6PR4eHmzfvv2+4y5YsIAVK1awYsUK/v77b2bPnk1WVhaNGzdm7ty56HQ6HB0dGTNmDJs3b2bGjBk0b978vmPMnj2bmJgYWrdujYeHBzt37gTggw8+YN26ddjZ2bF69Wq8vb2Jj49n+PDhXLlyBVATiq+vL99//z06nY5ff/2VOXPmkJiYyKeffkpWVhbu7u789ttveHt7G/NPLmmgkrcTS4c24e9j0Xy+4Szd5uxjcPMA3m5bCQebJ+Lro0BORiWy/VwcYztUxsm2+DWv1qyDmzHl1Vz17NmzPPWU2gpAi8QQERFBt27dCAkJYdeuXXTt2pWQkJA7TS1v3ryJm5sb6enpNGzYkN27d2MwGKhXrx579uwhICDgzjZTpkzB0dERW1tbtmzZwvLly7l06RLvvfceK1aswMrKijfeeIMmTZrwyiuvIIRg6dKl9OvX74Hx+fv7ExQUhIeHB6BWQK5Zs4bu3bvz3nvvUapUKSZOnMgLL7zAG2+8QfPmzbly5QodO3bk7Nmzd2IaO3YsAAkJCbi4uCCE4Mcff+Ts2bPMmDHDiH9x1b3/V6loJaRm8eWmc/x5NJIyzrZM6VGdDtXzGtxAGrLoKEGXE9j7XmuzTQxm11y1qD3sC7yoNGrU6L7297Nnz2blypUAREZGEhoaSnx8PC1btryznZvb3UnBlyxZQtmyZVm1ahVWVlZs376d4OBgGjZsCEB6ejpeXl4A6HQ6nnvuuceKz9ramm7dugFQv359tm7dCsC2bds4c+bMne2Sk5O5devWf/aPiori+eefJzY2lqysLNnXoARydbDmi+dq0ad+WT5YGcLQJcG0e8qLKT2qU9bVXuvwzEZYfArbzsbxdttKZpsUHuWJSAzmwMHB4c7rXbt2sW3bNg4ePIi9vT3PPPMMGRkZKIrywCaZNWrU4Pjx40RFRREQEICiKAwcOJCpU6f+Z1tbW1t0usdrg25lZXXn3DqdjpwcdfBbg8HAwYMHsbOze+j+b731FmPGjKFHjx7s2rWLKVOmPNb5peKjgb8b60Y2Z+G+cGZtC6X9zD281bYig5sHyL4PwKIDEVjrLHipSXmtQykwWflsIk5OTnleWQMkJSXh6uqKvb09586d49ChQwA0bdqU3bt3Ex4eDqi3m26rW7cuP/zwAz169CAmJoa2bdvy119/ERcXd2fby5cvGyW+e3Xo0IFvv/32zs/Hjx/Pc/+kpCR8fX0BWLRoUb7jkIonK50Fw1oFsnVMS1pU8mDapvN0mrWXXefjtA5NU0np2fwVHEX32mXwdCpeLZHuJRODibi7u9OsWTNq1KjBu+++e9+6Tp06kZOTQ61atfjwww9p0qQJAJ6ensyfP5/evXtTu3Ztnn/++fv2a968OdOnT6dr1654eXnx6aef0qFDB2rVqkX79u2JjY3Nd3xDhw6lc+fOtG7d+qHbzZ49m6CgIGrVqkW1atX4/nt1Ur3u3buzcuVK6tSpw969e5kyZQp9+/alRYsWd+otpJKvrKs9819pwC//U29pDvr5KK8tDiLyZsFbvBVny45GkpalL5Ytke71RFQ+SyWH/L+ar8wcPQv3RTBnRyh6g8LwVoG8/kygWU5daQoGg0Kr6TvxcbZj2bCmWofzSA+rfJYlBkmSjMLGUsfrzwSy451n6Fi9NN9sD6XdzN1sPn2VknAB+ihBlxOIvJnOC438tA6l0GRiKOGeffZZ6tSpc99j8+bNWocllWClnW2ZPaAuf7zWBAdrS4YtCWbgz0cJi0/ROjSTWnU8GjsrHe2rFf/+O7JVUgl3u0msJBW1poHurB/ZnCWHLjNzywU6zdrDq80DGNG6YrFtxvkgWTkG1p+MpWN17xLR8U+WGCRJMhlLnQX/axbAjrHP0KuOLz/svkTr6btZevQK+hI09tKu83EkpWfTs66v1qEYhSaJQQgxRQgRLYQ4nvvocs+6CUKIi0KI80KIjlrEJ0mScXk62fBV39qsGdEMf3d7xv19iu5z9pWYob1XHY/G3cGaFhVLRos8LUsMXyuKUif3sQFACFEN6A9UBzoBc4UQT0aTBkl6AtQq68Ly4U2ZM6AuSenZDFhwiOFLgrlyo/g2b03P0rPtbBzdavlgqSsZN2HM7bfoCfypKEqmoijhwEXAfObCM6EuXbqQmJiodRiSZHJCCLrXLsP2d1oxtkNl9oTG027mbqZuPMutjGytw3tswZcTyMox0Lqql9ahGI2WiWGEEOKkEGKhEMI1d5kvEHnPNlG5y0q8DRs24OLionUYklRkbK10jGhTiZ1jn6F77TK59Q+7+ONI8ap/OBB2HUsLQUN/t0dvXEyYLDEIIbYJIULyePQE5gGBQB0gFrg9DGdeAwXl+Q4RQgwVQgQJIYLMdR7gXr16Ub9+fapXr878+fMB+OOPP6hZsyY1atRg3Lhxd7b19/fn+vXrWoUqSZrxLmXLjH636x8cmLDiFN3m7ONAWPH4PBwIu0Htci4lojXSbSb7TRRFaZef7YQQC4B1uT9GAeXuWV0WiHnA8ecD80Ht+fzQk2wcD1dP5Sec/CtdEzp/8dBNFi5ceN/Q2l27dmXcuHEEBwfj6upKhw4dWLVqFb169TJubJJUDN2uf1h3MpYvNp7jhQWH6Vjdmwmdn8Lfw+HRB9DArYxsTkUn8cYzgVqHYlRatUryuefHZ4GQ3NdrgP5CCBshRABQCThS1PEZy+zZs6lduzZNmjQhMjKSH3/8kWeeeQZPT08sLS158cUX2bNnj9ZhSpLZ+Hf9w97Q67SbuZspa05zwwznnj4acRO9QaFpBXetQzEqrco+04QQdVBvE0UAwwAURTkthFgGnAFygDcVRSn8XJiPuLI3hbyG1q5duzZhYWFFHoskFTe36x/6NSjH19tCWXwwgr+Doxj+TCCDmweYzfhLBy7ewNrSgnrlXR+9cTGiSYlBUZSXFUWpqShKLUVReiiKEnvPus8URQlUFKWKoigbtYjPGPIaWjs9PZ3du3dz/fp19Ho9f/zxB61atdI6VEkyW16lbJnauyabR7WkcQU3vtp8ntbTd7E8KNIsKqgPhN2gvp+r2SQqYzG35qolRl5Da/v4+DB16lRat25N7dq1qVevHj179tQ6VEkye5W8nfhxYEP+HNoELycb3v3rJF1n72X3hXjNBuhLSs/m7NVkmgaWrNtIIMdKMhkbGxs2bsy7wPPCCy/8Z1lERISJI5Kk4q9JBXdWvdmMdSdjmbb5HAMXHqF5RQ8mdKlK9TLORRpL+PVUFAWe8ilVpOctCrLEIElSsXK7gnrbmFZM6laNkJgkus3Zx5ilx4lOTC+yOKIS1N7aZV0fPu1tcSQTgyRJxZKNpY5Xmwew+93WDGsZyLpTsbSevoupG8+SlGb6HtRRCWoSkolBkiTJzDjbWTG+c1V2jn2GbrV8mL/nEs2n7eC7nRdJy8ox2Xkjb6bhYm9V4oYQB5kYJEkqIXxd7JjZrw4b325B4wC1BVPLabtYfDCCrByD0c8XlZBeIksLIBODJEklTNXSpfhxYEP+fr0pFTwdmLT6NG1n7mLlP1FGbeIamZBGOVd7ox3PnMjEIElSiVS/vBtLhzbhl/81pJStFaOXnqDLN3vZduZaoZu4KopCtCwxSJIkFT9CCJ6p4sXaEc2ZM6AuWXoDQxYH8dy8Axy6VPBJguJTMsnMMVBWlhikojRgwABq1arF119/rXUod0yaNIlt27YZ5VizZs0iLe3u5CyOjo5GOa4k5cXCQm3iumV0S6b2rklMYgb95x/ilYVHCIlOeuzjRd5UWySVcyuZJQbZwc3M5OTkcP36dQ4cOMDly5e1Duc+H3/8sdGONWvWLF566SXs7UvmFZdknqx0Fgxo5MezdX1ZfDCCubvC6DZnH11r+jCqXSUqeTvl6zh3+zCUzPfvE5EYvjzyJedunjPqMau6VWVco3EPXJ+amkq/fv2IiopCr9fz4YcfMm7cOIKCgvDw8CAoKIixY8eya9cupkyZQkxMDBEREXh4eBASEkJcXBx16tRhzpw5nDt3jvnz55OVlUXFihVZsmQJ9vb2XLt2jeHDh3Pp0iUA5s2bx9NPP82vv/7K7NmzycrKonHjxsydOxedLu+xXF5//XWOHj1Keno6ffr04aOPPiIoKIghQ4YAoNfrCQkJQVEUBg0aRLdu3ejTpw/+/v688MIL7Ny5k+zsbObPn8+ECRO4ePEi7777LsOHD2fXrl1Mnz6ddevUUdVHjBhBgwYNSE5OJiYmhtatW+Ph4cHOnTsB+OCDD1i3bh12dnasXr0ab29vY/7LJOkOWysdQ1sG0r+RHz/uucRP+8LZEBJLz9pleLtd0L/y6gAAEb9JREFUZQIeMcx3Se7DAPJWksls2rSJMmXKcOLECUJCQujUqdNDtw8ODmb16tX8/vvvrFmzhsDAQI4fP06LFi3o3bs3R48e5cSJEzz11FP89NNPAIwcOZJWrVpx4sQJjh07RvXq1Tl79ixLly5l//79HD9+HJ1Ox2+//fbA83722WcEBQVx8uRJdu/ezcmTJ2nQoAHHjx/n+PHjdOrUibFjx+a5b7ly5Th48CAtWrRg0KBB/PXXXxw6dIhJkyY99HcdOXIkZcqUYefOnXeSQmpqKk2aNOHEiRO0bNmSBQsWPPQYkmQMpWytGNOhCnvHtWFoywpsOn2VdjN38+7yE0TefPA81FEJabg7WGNvXTKvrUvmb/UvD7uyN5WaNWsyduxYxo0bR7du3WjRosVDt+/Rowd2dnlffYSEhDBx4kQSExNJSUmhY8eOAOzYsYPFixcDoNPpcHZ2ZsmSJQQHB9OwYUMA0tPT8fJ68Fy0y5YtY/78+eTk5BAbG8uZM2eoVavWnXXHjh1jy5YtD4z59u+akpKCk5MTTk5O2NraPvb81dbW1nTr1g2A+vXrs3Xr1sfaX5IKw83Bmgmdn2JI8wrM2xXGr4cvs+p4NP0alGNEm4r4ON//2SzJfRjgCUkMWqhcuTLBwcFs2LCBCRMm0KFDBywtLTEY1I42GRkZ923v4PDgouugQYNYtWoVtWvX5pdffmHXrl0P3FZRFAYOHMjUqVMfGWN4eDjTp0/n6NGjuLq6MmjQoDtxnT59msmTJ7Nnz54H3oaysbEBwMLC4s7r2z/n5OTc9/vm9Tvfy8rKCiHUmV11Oh05OabrsSpJD+LpZMOk7tUY2rIC3+4MZenRSJYHR/FCIz/eaB2Il5MtoPZ6ru5btIP2FSV5K8lEYmJisLe356WXXmLs2LEcO3YMf39/goODAfj777/zfaxbt27h4+NDdnb2fbeF2v6/vfOPsqoq+/jnmWFwQAhSSEYGRkgUGGYcHBYjIKYhmP20UsAf7xtlTBkr0WUWFCohzKKyDBOnSFcJr29S9ErvIsw3lV4lzMKaQECTDBLjhw4yAzUOv57+2OcOZ8Z758ede+ace+b5rDVrztn73HOf77533+ecvc9+nilTqK6uBtxcQH19PVOmTGHNmjUcOHAAgIMHD6acxK6vr+f000+nX79+7N+/vykabF1dHTNnzmTlypUMHDgwLf0ARUVFbN++ncbGRurq6njqqaea6vr27cvhw4fTPrdhBMmgfvksvqqEp2+7lI+XDWbV73ZzyTc3ULV+B28eaeT1Q3bHkHFEZDVwvrfbHzikqmUicg6wA3jZq/udqn6+6y3sPFu3buX2228nJyeHvLw8qquraWho4MYbb6SqqoqKiop2n+vuu++moqKCoqIiSkpKmn5Qly1bRmVlJQ899BC5ublUV1czYcIEFi9ezLRp0zh58iR5eXksX76coqKid5z3ggsuYOzYsRQXFzN8+HAmTZoEwNq1a9m9ezezZ89uOrampqbDbTBkyBCmT59OaWkpI0aMYOzYsU11lZWVXHnllRQUFDTNMxhG1BhyRm++cXUpN136Xu576hV++OyrrHxuF8dOaGxXPQNIWEkumgwQ+TZQp6qLPMewTlXHdOQc48aN082bNzcr27FjB6NGjcqYnUY0sM/VCJOdBw5z75Ov8PjWvaydM4nSwv5hm5Q2IvKCqo5LVhfqHIO4QeXpwPvDtMMwDKM9nPueviy/7kKOnzhJj9z4jsSHPfk8Gdivqq/4yoaJyJ+AemCBqj6b7IUiUglUAgwdOjRwQ7OdiooKGhsbm5WtWrWKkpKSkCwyjOwlzk4BAnQMIvIkMChJ1ddU9Rfe9rXAT3x1e4GhqlorIuXAWhEpVtX6lidR1RXACnBDSZm1Pn48//zzYZtgGEaWEJhjUNXLW6sXkR7AJ4By32sagUZv+wUR+StwHrA56UkMwzCMjBPm/dDlwEuquidRICIDRSTX2x4OjABeDck+wzCMbkmYcwwzaT6MBHAJsEhEjgMngM+r6sEut8wwDKMbE5pjUNVZScp+DrR/5ZdhGIaRceI9tZ7FdFU+hqqqqmb7EydOBGDXrl2MGeOWk9TU1LB+/fpA7TAMIzqYY4gYx48fZ9++fWzatIktW7Zw6623Bvp+LR3Dpk2b3nGMOQbD6F6EvY6hS9hXVUXjjszmYzht1EgGffWrKeuzIR/DvHnzaGhooKysjOLiYh555BH69OnDkSNHmo45evQod955Jw0NDWzcuJH58+czY8aMjLalYRjRwu4YAiIb8jEsXbqUXr16UVNTk/KYnj17smjRImbMmEFNTY05BcPoBnSLO4bWruyDIlvyMRiGYbSkWziGMMiGfAyGYRjJsKGkgMiGfAzgEuQcO3as1fe33AmG0b0wxxAQW7duZfz48ZSVlbFkyRIWLFjAXXfdxdy5c5k8eXLKrGjJSORjmDp1KiNHjmwqX7ZsGRs2bKCkpITy8nK2bdvG6NGjm/IxlJaWMnXqVPbu3Zvy3JWVlZSWlnL99denPOayyy5j+/btlJWVsXr16nbbbRhGdhJ6PoZMYPkYug/2uRpGZmgtH4PdMRiGYRjNsMnnboLlYzAMo72YY+gmWD4GwzDaS6yHkuIwf2Kcwj5Pw+gaYusY8vPzqa2ttR+TmKCq1NbWkp+fH7YphhF7YjuUVFhYyJ49e3jjjTfCNsXIEPn5+RQWFoZthmHEniBzPl8DLARGAeNVdbOvbj5wIy4Zz82q+oRXXg78GOgFrAfmapqX/Hl5eQwbNqwzEgzDMLolQQ4lvYjL6fyMv1BERuOytxUDHwAeSKTzBKqBSlxKzxFevWEYhtGFBOYYVHWHqr6cpOpjwKOq2qiqfwN2AuNFpAB4l6o+590lrASuCso+wzAMIzlhTD4PBl7z7e/xygZ72y3LDcMwjC6kU3MMIvIkMChJ1ddU9RepXpakTFspT/XelbhhJ4AjIvIyMAB4M7XFWUVctJiO6BEXLaajcxSlquiUY1DVy9N42R5giG+/EPiHV16YpDzVe68AVvjLRGRzqtgf2UZctJiO6BEXLaYjOMIYSvpfYKaInCYiw3CTzL9X1b3AYRG5SEQE+E8g1V2HYRiGERCBOQYR+biI7AEmAL8UkScAVHUb8FNgO/ArYI6qnvBedhPwIG5C+q/A40HZZxiGYSQnsHUMqvoY8FiKuiXAkiTlm4ExnXjbFW0fkjXERYvpiB5x0WI6AiIW+RgMwzCMzJG1sZK8eQjDMLoB1t+7lqxyDCJSIiJfAUg3VEZUEJEiERkath2dRUQK4tBpReSssG3IFCJyfky+W7Ho79nY17PCMYjjHuC/gR4ikhe2TekiIr1E5F7cxPrDInKTV54Vn0UC76myauD/gRUi8omwbUoHEemT+DxE5AfZqiOBiLwb92DHZ0VkQNj2pENc+ns29/XIG+gxECgAylV1iaoeC9ugTnAzcLaqjsYFGbwFQFVPhmlUGnwUKFDV84B1wCIROS9kmzqEiAwGVuH6wQdxTu6boRrVeQYDLwGnA2Uh25IucenvWdvXI+sYRKSvb7cfMEJVj4rIFSLyJRG5IizbOoqI9PH+5+DafItXdTbuUd6RYdnWUXwBD08AbwB4q9x/BXxORPqHZVsavA08qKpzVXUf7jHqGhEpDdmuDuFdYSeG8+qANbioAZeJyJnhWdYxfFfS7yK7+3uup0XI0r4eOccgIueKyE+BH4nIh0TkDOAI8FsRWQR8Gdehvysin0r86EYRn5aHReRDQC7uam64iDwLfAM4DDwpIlOjOlbvjVl/X0R6+dac9AQOisjZ3v63gAtxUXMjOVno1wGgqrXAb3yHDAGGA8mCP0aKFp+J+sbgL8SFrV8AvAe4VkSuEpFIZjhqoSNxJZ0DPJNN/b1lH/G0/AMYmk19vQlVjcwf7guxDrgDF4X1AeAer+57uE58gbd/Ne7KqG/YdrdTy/eBb3l1/XBXp4O8/TnA+rBtTqHjYuD3wElcDKxEeYGn7wNAT69sIbAmbJvbqwPvcW3fMecD/xO2rWlqyfH+vxeXxwTgadyd3bywbe7gd+vdwH3Ahmzo763oyMmmvu7/i9odQwFwCKhSNzyxBJgsIpfgVkQfA8oBVHUNcCbQN8W5wqallruBi0Xko7g7oP1Ab+/YB4HeEb3trwU+A5wHfFpEzgFQF8LkCVzOjcRY9qPAWxGdLGypo0i9nupjLG7FPSIyO8JDSu/4TPTU1fYE3MTzi8A+4CfAayLSO/mpQiXVd+st3EXH22RHf0+qAzec1wd4nezo601EyjGo6uvAOGCqb78auENV/4xbIfgREZnv3Z69CBwMy97WaEXLF9UNxwwBKkVkFu4H9g+48eFIoao7gJ2quhP4NfB1X/UDuBDq80TkNpxjeFUjOFmYRMcieMcTIlOAM0Xk58B1uB+myNHGZ/Io7rv0GVW9DliL+65FbuiiDR2/xuVk+XDU+3sqHd6Fxz5cPLjZUe/rzQjp1msAcJZvX4Ae3vYsYKOvrj+wGpjo7RcDtwEzw77dSlPLzzwN5+NiQ/0yClqS6Wi5jbta2wlM8dXlA+8DlgE3ZKsOr/xxYBtwddg6OqvFd1xONusASqLS3zvRR0qBL0Slr7dLawiNuwA3AbsGWOqV5fjqc3Fjo7f4yh4GxoTdWBnSsjJqWtrSkdDi/b8FWOdtXwv0Dtv+DOkQ4NKwNWRIS37Y9tt3q5mOXmHb32G9Xdiw+cBS3ETMQOAs4F/AGV693/uWA3/Dpfa8AXgBGB12Y8VNS1s6Whzr1/QW7lb4h7ixU+kqmwPS8VBUfkwz9ZnERUcMvluR0NFh3V3QsP192wW+7UtxE2PFLY5PPF3xMdxY3TPAxWE3VJy0dFSHr74f7rHULcAk02FaTEe0daStP8CGPRO4H/g/3ArAkV55D2AasAv4Nu4xr2s5dRsWOc8aFy3p6vC9PgcoNR2mxXREW0en2yGgxr3Ia7iFwCW4xR33+eoHcOpq+sO4Wfq8sBsjzlpMR/i2x1WL6Qjf9kz/BfW46iHgO6q6UFWfATYBiEi+iIiqvqnec9equg73XP/ggGzpLHHRYjqiR1y0mI6YEUgGN1V9SURe8xpTcQvTzlXVt8GFS1BVFZFRwGJgN275eOSIixbTET3iosV0xI9O3TGISM8W+02LaFT1n17jApzDqWBSAKeJyH/g1ic8raqzVPVoZ2zpLHHRYjqipQPio8V0REtHkKTtGETkC8BGEakSkRvArfTzryT1bQ/Djd0hLt59b9wKwApVXZ6uDZkiLlpMR7R0QHy0mI5o6QiaDjsGERkgIj/CBU+7GfgL8EnxYn8kxuBEpFRPxW8pBkaIyOPANbiZ/AOq2pAJEekSFy2mI1o6ID5aTEe0dHQZ2v4Z+0SYh1zgIl/5TOBe3/5ZuOQnz+JikA8F6nGRUa9q7/sF+RcXLaYjWjripMV0REtHl7dbexoWuAcXC2earzwXF1Hw77gkLd/DBSEbA9zc4hyfDltonLSYjmjpiJMW0xEtHaG1XxuNK7gImv8FXI+LHDgHL3wALg55Ihb/NcDzNF8W3jNsgXHTYjqipSNOWkxHtHSE+dfW46p9cbH2r1DVwyLyJi437nRgpapu9B37Ii4yZT8RqVNHlGbs46LFdERLB8RHi+mIlo7QaHXyWVXrcUvAZ3lFvwX+BFSIyKDEceLS7d0BNKjqIfXcbpSIixbTES0dEB8tpiNaOsKkPU8lPQaUiUiBqh7BPdfbCAwSl/R6AfAc8BdVnROgrZkgLlpMR/SIixbTYbTLMWzEpa6bBaCqfwTGA33UZSLbiLtlWxiQjZkkLlpMR/SIixbTYbQdEkNV94rIWmCpiOzEBY56Gzju1f8mUAszSFy0mI7oERctpsOAU+no2j5Q5ErcDP5E4H5VvT9Iw4IkLlpMR/SIixbT0b1pt2MAEJE83Ary48GZ1DXERYvpiB5x0WI6ui8dcgyGYRhG/AkqH4NhGIaRpZhjMAzDMJphjsEwDMNohjkGwzAMoxnmGAzDMIxmmGMwDMMwmmGOwTAMw2iGOQbDMAyjGf8GysM9pRWpVxUAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "irrad_data = tus.get_clearsky(times.tz_localize(tus.tz))\n", "dni_et = pvlib.irradiance.get_extra_radiation(irrad_data.index, method='asce')\n", "irrad_data.plot()\n", "dni_et.plot(label='DNI ET');" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ground_irrad = pvlib.irradiance.get_ground_diffuse(tracker_data['surface_tilt'], irrad_data['ghi'], albedo=.25)\n", "ground_irrad.plot();" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": 42, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "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 = tus.get_clearsky(times.tz_localize(tus.tz))\n", "dni_et = pvlib.irradiance.get_extra_radiation(irrad_data.index, method='asce')\n", "plt.figure()\n", "irrad_data.plot()\n", "dni_et.plot(label='DNI ET')\n", "\n", "ground_irrad = pvlib.irradiance.get_ground_diffuse(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": 43, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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 = tus.get_clearsky(times.tz_localize(tus.tz))\n", "dni_et = pvlib.irradiance.get_extra_radiation(irrad_data.index, method='asce')\n", "plt.figure()\n", "irrad_data.plot()\n", "dni_et.plot(label='DNI ET')\n", "\n", "ground_irrad = pvlib.irradiance.get_ground_diffuse(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": 44, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Location: \n", " name: Albuquerque\n", " latitude: 35\n", " longitude: -106\n", " altitude: 0\n", " tz: US/Mountain\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": 45, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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 = abq.get_solarposition(times.tz_localize(abq.tz))\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": 46, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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 = abq.get_solarposition(times.tz_localize(abq.tz))\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": 47, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py:556: RuntimeWarning: invalid value encountered in remainder\n", " surface_azimuth = surface_azimuth % 360\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "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 = abq.get_solarposition(times.tz_localize(abq.tz))\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": 48, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
00.010.090.00.0
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 0.0 10.0 90.0 0.0" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([10])\n", "apparent_azimuth = pd.Series([180])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
0-60.00.090.060.0
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 -60.0 0.0 90.0 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=180, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
060.00.090.060.0
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 60.0 0.0 90.0 60.0" ] }, "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=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test max" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
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tracker_thetaaoisurface_azimuthsurface_tilt
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tracker_thetaaoisurface_azimuthsurface_tilt
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 27.428334 52.571666 90.0 27.428334" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([80])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test axis_tilt" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 -20.88121 7.286245 142.6573 35.987415" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([135])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=30, axis_azimuth=180, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 31.665508 47.66322 50.969695 42.515219" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([135])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=30, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test axis_azimuth" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 0.0 30.0 180.0 0.0" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=90, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 30.0 0.0 180.0 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": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 30.0 0.0 180.0 30.0" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([180])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=90, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 -11.170229 28.024321 80.0 11.170229" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([150])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=170, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
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tracker_thetaaoisurface_azimuthsurface_tilt
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 0.0 10.0 90.0 0.0" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([10])\n", "apparent_azimuth = pd.Series([180])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is supposed to fail..." ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "ename": "IndexError", "evalue": "boolean index did not match indexed array along dimension 0; dimension is 2 but corresponding boolean dimension is 1", "output_type": "error", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mIndexError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[0;32m 5\u001b[0m tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n\u001b[0;32m 6\u001b[0m \u001b[0maxis_tilt\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0maxis_azimuth\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mmax_angle\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m90\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 7\u001b[1;33m backtrack=True, gcr=2.0/7.0)\n\u001b[0m\u001b[0;32m 8\u001b[0m \u001b[0mtracker_data\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;32mc:\\users\\kanderso\\software\\anaconda3\\envs\\pvlib-dev\\lib\\site-packages\\pvlib\\tracking.py\u001b[0m in \u001b[0;36msingleaxis\u001b[1;34m(apparent_zenith, apparent_azimuth, axis_tilt, axis_azimuth, max_angle, backtrack, gcr)\u001b[0m\n\u001b[0;32m 424\u001b[0m \u001b[1;31m# filter for sun above panel horizon\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 425\u001b[0m \u001b[0mzen_gt_90\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mapparent_zenith\u001b[0m \u001b[1;33m>\u001b[0m \u001b[1;36m90\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 426\u001b[1;33m \u001b[0mwid\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mzen_gt_90\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mnan\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 427\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 428\u001b[0m \u001b[1;31m# Account for backtracking; modified from [1] to account for rotation\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mIndexError\u001b[0m: boolean index did not match indexed array along dimension 0; dimension is 2 but corresponding boolean dimension is 1" ] } ], "source": [ "# NBVAL_RAISES_EXCEPTION\n", "\n", "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": {}, "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": "3.7.7" } }, "nbformat": 4, "nbformat_minor": 4 }