{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Modeling Solar Cells with Detailed Balance Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook demonstrates how to simulate the solar cells with detailed balance model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "\n",
    "from pypvcell.solarcell import SQCell,MJCell,DBCell\n",
    "from pypvcell.illumination import Illumination\n",
    "from pypvcell.photocurrent import gen_step_qe\n",
    "\n",
    "font = {'size'   : 12}\n",
    "matplotlib.rc('font', **font)  # pass in the font dict as kwargs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Set up the illumination\n",
    "Initiate an object to for the sun illumination of solar cells"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "input_ill=Illumination(\"AM1.5g\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulate a GaAs solar cell at detailed balance limit"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set up a GaAs (Eg=1.42eV) solar cell using ```SQCell```."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "gaas_cell=SQCell(eg=1.42,cell_T=293,n_c=1,n_s=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set up the desired illumination"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "gaas_cell.set_input_spectrum(input_ill)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generate and draw the I-V characteristics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "v,i=gaas_cell.get_iv()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-400, 0)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZkAAAERCAYAAACpRtp7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x105584748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(v,i,'.-')\n",
    "plt.xlabel(\"voltage (V)\")\n",
    "plt.ylabel(\"current (A/m^2)\")\n",
    "plt.ylim([-400,0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Investigate the optimal band gap \n",
    "The follwoing code scans through different band gap and calculate the efficiencies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x110e7bb38>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZoAAAEQCAYAAACJLbLdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSpIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110d33be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# set up an array of different band gaps\n",
    "eg_array = np.linspace(0.5, 2.0)\n",
    "eta_array_air_semi_class=[]\n",
    "for eg in eg_array:\n",
    "    sq_cell = SQCell(eg=eg, cell_T=293, n_c=1, n_s=1)\n",
    "    sq_cell.set_input_spectrum(input_spectrum=input_ill)\n",
    "\n",
    "    eta_array_air_semi_class.append(sq_cell.get_eta())\n",
    "\n",
    "plt.plot(eg_array, eta_array_air_semi_class, label=\"nc=1,ns=1 (class)\")\n",
    "plt.xlabel(\"band gap (eV)\")\n",
    "plt.ylabel(\"efficiency\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calculate dual-junction cell efficiency contour"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def get_2j_eta(conc_ill):\n",
    "    top_eg=np.linspace(1.3,2.1,num=50) # Set up range of top cell band gaps\n",
    "    mid_eg=np.linspace(0.9,1.5,num=50)# Set up range of middle cell band gaps\n",
    "\n",
    "    eta=np.zeros((50,50)) # Initialize an array for storing efficiencies\n",
    "\n",
    "    ge_cell=SQCell(eg=0.67,cell_T=293)\n",
    "    for i,teg in enumerate(top_eg):\n",
    "        for j,beg in enumerate(mid_eg):\n",
    "            tc=SQCell(eg=teg,cell_T=293) # Set up top cell\n",
    "            bc=SQCell(eg=beg,cell_T=293) # Set up bottom cell\n",
    "            mj=MJCell([tc, bc]) # Make multijunction cell by \"streaming\" the 1J cells\n",
    "            mj.set_input_spectrum(conc_ill) # Set up the illumination\n",
    "            eta[i,j]=mj.get_eta() # Store the calculated efficiency in an array\n",
    "    return top_eg,mid_eg,eta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/kanhua/Dropbox/Programming/pypvcell/pypvcell/solarcell.py:40: RuntimeWarning: divide by zero encountered in log\n",
      "  return rad_eta * np.log(jsc / j01) * thermal_volt * cell_T\n",
      "/Users/kanhua/miniconda3/lib/python3.6/site-packages/numpy/core/function_base.py:128: RuntimeWarning: invalid value encountered in multiply\n",
      "  y = y * step\n"
     ]
    }
   ],
   "source": [
    "ill=Illumination(\"AM1.5g\",concentration=1)\n",
    "top_eg,mid_eg,eta=get_2j_eta(ill)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaQAAAEUCAYAAABkhkJAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1110057f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "levels=np.unique(np.concatenate((np.arange(0.12,0.7,step=0.04),[0.42,0.44])))\n",
    "cs=plt.contour(mid_eg,top_eg,eta,levels)\n",
    "plt.clabel(cs,levels, fontsize=12, inline=1,fmt=\"%.2f\")\n",
    "plt.xlabel(\"middle cell band gap (eV)\")\n",
    "plt.ylabel(\"top cell band gap (eV)\")\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"2J_one_sun.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(50, 50)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eta.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.428818880767\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "20"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "print(np.max(eta))\n",
    "nar=np.argmax(eta)\n",
    "nar//eta.shape[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.62653061224\n",
      "0.961224489796\n"
     ]
    }
   ],
   "source": [
    "print(top_eg[nar//eta.shape[1]])\n",
    "print(mid_eg[np.mod(nar,eta.shape[1])])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def get_1j_eta_on_si(conc_ill):\n",
    "    top_eg=np.linspace(1.3,2.1,num=50) # Set up range of top cell band gaps\n",
    "\n",
    "    eta=np.zeros(50) # Initialize an array for storing efficiencies\n",
    "\n",
    "    for i,teg in enumerate(top_eg):\n",
    "        tc=SQCell(eg=teg,cell_T=293) # Set up top cell\n",
    "        bc=SQCell(eg=1.1,cell_T=293) # Set up bottom cell\n",
    "        mj=MJCell([tc, bc]) # Make multijunction cell by \"streaming\" the 1J cells\n",
    "        mj.set_input_spectrum(conc_ill) # Set up the illumination\n",
    "        eta[i]=mj.get_eta() # Store the calculated efficiency in an array\n",
    "    return top_eg,eta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "ill=Illumination(\"AM1.5g\",concentration=1)\n",
    "top_eg,eta=get_1j_eta_on_si(ill)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x11112af28>]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAD/CAYAAAD8MdEiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1110de828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(top_eg,eta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.72448979592\n",
      "0.424241836078\n"
     ]
    }
   ],
   "source": [
    "nar=np.argmax(eta)\n",
    "print(top_eg[nar])\n",
    "print(eta[nar])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calculate triple-junction cell with Germanium substrate (X/Y/Ge)\n",
    "This calculation is similar to previous one, but this time we calculate the optimal band gap combinations of top and middle cell of the three-junction solar cell, with germanium cell as the bottom junction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def get_3j_eta(conc_ill):\n",
    "    top_eg=np.linspace(1.3,2.1,num=10) # Set up range of top cell band gaps\n",
    "    mid_eg=np.linspace(0.9,1.5,num=50)# Set up range of middle cell band gaps\n",
    "\n",
    "    eta=np.zeros((10,50)) # Initialize an array for storing efficiencies\n",
    "\n",
    "    ge_cell=SQCell(eg=0.67,cell_T=293)\n",
    "    for i,teg in enumerate(top_eg):\n",
    "        for j,beg in enumerate(mid_eg):\n",
    "            tc=SQCell(eg=teg,cell_T=293) # Set up top cell\n",
    "            bc=SQCell(eg=beg,cell_T=293) # Set up bottom cell\n",
    "            mj=MJCell([tc, bc,ge_cell]) # Make multijunction cell by \"streaming\" the 1J cells\n",
    "            mj.set_input_spectrum(conc_ill) # Set up the illumination\n",
    "            eta[i,j]=mj.get_eta() # Store the calculated efficiency in an array\n",
    "    return top_eg,mid_eg,eta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/kanhua/Dropbox/Programming/pypvcell/pypvcell/solarcell.py:40: RuntimeWarning: divide by zero encountered in log\n",
      "  return rad_eta * np.log(jsc / j01) * thermal_volt * cell_T\n",
      "/Users/kanhua/miniconda3/lib/python3.6/site-packages/numpy/core/function_base.py:128: RuntimeWarning: invalid value encountered in multiply\n",
      "  y = y * step\n"
     ]
    }
   ],
   "source": [
    "ill=Illumination(\"AM1.5d\",concentration=240)\n",
    "top_eg,mid_eg,eta=get_3j_eta(ill)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaQAAAEUCAYAAABkhkJAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQ9JoNBqNXaAdkkaj0Wjsgv8HtSoFNyAMvlIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1113697b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "levels=np.unique(np.concatenate((np.arange(0.12,0.7,step=0.04),[0.44,0.46,0.48,0.50,0.54,0.56])))\n",
    "cs=plt.contour(mid_eg,top_eg,eta,levels)\n",
    "plt.clabel(cs,levels, fontsize=12, inline=1,fmt=\"%.2f\")\n",
    "plt.xlabel(\"middle cell band gap (eV)\")\n",
    "plt.ylabel(\"top cell band gap (eV)\")\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"3J_2d_240suns.png\",dpi=600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.462042258631\n"
     ]
    }
   ],
   "source": [
    "tc=SQCell(eg=1.87,cell_T=293) # Set up top cell\n",
    "bc=SQCell(eg=1.42,cell_T=293) # Set up bottom cell\n",
    "ge_cell=SQCell(eg=0.67,cell_T=293)\n",
    "mj=MJCell([tc, bc,ge_cell]) # Make multijunction cell by \"streaming\" the 1J cells\n",
    "mj.set_input_spectrum(ill)\n",
    "print(mj.get_eta())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Compare Table II. of the EtaOpt paper\n",
    "Condition: AM1.5d, Eg=1.13eV, T=300K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.30992153594167304"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The AM1.5d spectrum has to be normalized to 1000 W/m^2\n",
    "input_ill=Illumination(\"AM1.5d\",concentration=1000/918)\n",
    "sq_cell = SQCell(eg=1.13, cell_T=293, n_c=3.5, n_s=1)\n",
    "sq_cell.set_input_spectrum(input_spectrum=input_ill)\n",
    "sq_cell.get_eta()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Condition: 1.84/1.16/0.69"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.63824158803071163"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ill=Illumination(\"AM1.5d\",concentration=462000*1000/918)\n",
    "mj=MJCell([SQCell(eg=1.84,cell_T=293,n_c=1,n_s=1),\n",
    "          SQCell(eg=1.16,cell_T=293,n_c=1,n_s=1),\n",
    "          SQCell(eg=0.69,cell_T=293,n_c=1,n_s=1)])\n",
    "mj.set_input_spectrum(input_spectrum=ill)\n",
    "mj.get_eta()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The result does not seemt to match very well (against 67%)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calculate optimal band gap on silicon cell (X/1.1eV)\n",
    "Find the optimal band gap on silicon subcell"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "input_ill=Illumination(\"AM1.5g\",concentration=1)\n",
    "top_eg=np.linspace(1.6,2,num=100) # Set up range of top cell band gaps\n",
    "\n",
    "eta=np.zeros(100) # Initialize an array for storing efficiencies\n",
    "jsc_ratio=np.zeros_like(eta)\n",
    "si_cell=SQCell(eg=1.12,cell_T=293,n_c=3.5,n_s=1)\n",
    "for i,teg in enumerate(top_eg):\n",
    "    #qe=gen_step_qe(teg,1)\n",
    "    #tc=DBCell(qe,rad_eta=1,T=293,n_c=3.5,n_s=1) # Set up top cell\n",
    "    tc=SQCell(teg,cell_T=293)\n",
    "    mj=MJCell([tc, si_cell]) # Make multijunction cell by \"streaming\" the 1J cells\n",
    "    mj.set_input_spectrum(input_ill) # Set up the illumination\n",
    "    eta[i]=mj.get_eta() # Store the calculated efficiency in an array\n",
    "    jsc_a=mj.get_subcell_jsc()\n",
    "    jsc_ratio[i]=jsc_a[0]/jsc_a[1]\n",
    "    #print(jsc_a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZMAAAEQCAYAAAB1OJkXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111466320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(top_eg,eta)\n",
    "plt.xlabel(\"band gap of top cell (eV)\")\n",
    "plt.ylabel(\"efficiency\")\n",
    "plt.savefig(\"sj_on_si.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Optimal top cell band gap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.7333333333333334"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "top_eg[np.argmax(eta)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Maximum efficiency"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.42598872312796932"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.max(eta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}