coupled reactor and pressurizer.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from AZOG.reactor import Reactor_Core\n",
    "from AZOG.pressurizer import Pressurizer\n",
    "from AZOG.logo import logo\n",
    "import numpy as np \n",
    "import matplotlib.pyplot as plt\n",
    "from CoolProp.CoolProp import PropsSI\n",
    "from tqdm import tqdm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "reactor=Reactor_Core(TemperatureFuel=np.linspace(800,810,num=5)+273.16,TemperatureModerator=np.linspace(310,320,num=10)+273.16,Power=1000e6,Precursor=2000,Pressure=15e6,Temp_hotleg=325+273.16,Temp_coldleg=300+273.16,Temp_lowerplenum=305+273.16,Temp_upplerplenum=322+273.16)\n",
    "pressurizer=Pressurizer(pressurizer_diameter=2,Pressure=1.5e7,Temp_coldleg=450)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "reactor.total_delayed_const/(reactor.NGT*reactor.Lamda)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import xlsxwriter \n",
    "work_book1=xlsxwriter.Workbook('test_case_pressurizer.excel')\n",
    "data_sheet1=work_book1.add_worksheet(\"test\")\n",
    "\n",
    "row=0\n",
    "data_sheet1.write(0,0,'T')\n",
    "data_sheet1.write(0,1,'P')\n",
    "data_sheet1.write(0,2,'Lw')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import xlsxwriter \n",
    "work_book2=xlsxwriter.Workbook('test_case_reactor_a.excel')\n",
    "data_sheet2=work_book2.add_worksheet(\"test\")\n",
    "\n",
    "row=0\n",
    "data_sheet2.write(row,0,'T')\n",
    "data_sheet2.write(row,1,'Tf1')\n",
    "data_sheet2.write(row,2,'Tf2')\n",
    "data_sheet2.write(row,3,'Tf3')\n",
    "data_sheet2.write(row,4,'Tf4')\n",
    "data_sheet2.write(row,5,'Tf5')\n",
    "\n",
    "data_sheet2.write(row,6,'Tmo1')\n",
    "data_sheet2.write(row,7,'Tmo2')\n",
    "data_sheet2.write(row,8,'Tmo3')\n",
    "data_sheet2.write(row,9,'Tmo4')\n",
    "data_sheet2.write(row,10,'Tmo5')\n",
    "data_sheet2.write(row,11,'Tmo6')\n",
    "data_sheet2.write(row,12,'Tmo7')\n",
    "data_sheet2.write(row,13,'Tmo8')\n",
    "data_sheet2.write(row,14,'Tmo9')\n",
    "data_sheet2.write(row,15,'Tmo10')\n",
    "data_sheet2.write(row,16,'Power')\n",
    "data_sheet2.write(row,17,'Thl')\n",
    "data_sheet2.write(row,18,'Tcl')\n",
    "data_sheet2.write(row,19,'Tlp')\n",
    "data_sheet2.write(row,20,'Tup')\n",
    "data_sheet2.write(row,21,'Precursor')\n",
    "data_sheet2.write(row,22,'Reactivity')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 500000/500000 [1:10:48<00:00, 117.69it/s]\n"
     ]
    }
   ],
   "source": [
    "Simulation_time=500\n",
    "dt=0.001\n",
    "\n",
    "row=1\n",
    "t=np.linspace(0,Simulation_time,num=int(Simulation_time/dt))\n",
    "tim=0\n",
    "print(\"Simulation running... ... ..\\n\")\n",
    "for i in tqdm(range(len(t))):\n",
    "\n",
    "\n",
    "    PowerRatio=reactor.integrator(reactor.DPowerRatio,argsforfunction=[],intitial_cond=reactor.PowerRatio,time_step=dt)\n",
    "    Precursor=reactor.integrator(reactor.DPrecoursor,argsforfunction=[],intitial_cond=reactor.Precursor,time_step=dt)\n",
    "    #print(PowerRatio)\n",
    "\n",
    "    Tf1=reactor.integrator(reactor.DTf1,argsforfunction=[],intitial_cond=reactor.Tf1,time_step=dt)\n",
    "    Tf2=reactor.integrator(reactor.DTf2,argsforfunction=[],intitial_cond=reactor.Tf2,time_step=dt)\n",
    "    Tf3=reactor.integrator(reactor.DTf3,argsforfunction=[],intitial_cond=reactor.Tf3,time_step=dt)\n",
    "    Tf4=reactor.integrator(reactor.DTf4,argsforfunction=[],intitial_cond=reactor.Tf4,time_step=dt)\n",
    "    Tf5=reactor.integrator(reactor.DTf5,argsforfunction=[],intitial_cond=reactor.Tf5,time_step=dt)\n",
    "\n",
    "    Tmo1=reactor.integrator(reactor.DTmo1,argsforfunction=[],intitial_cond=reactor.Tmo1,time_step=dt)\n",
    "    Tmo2=reactor.integrator(reactor.DTmo2,argsforfunction=[],intitial_cond=reactor.Tmo2,time_step=dt)\n",
    "    Tmo3=reactor.integrator(reactor.DTmo3,argsforfunction=[],intitial_cond=reactor.Tmo3,time_step=dt)\n",
    "    Tmo4=reactor.integrator(reactor.DTmo4,argsforfunction=[],intitial_cond=reactor.Tmo4,time_step=dt)\n",
    "    Tmo5=reactor.integrator(reactor.DTmo5,argsforfunction=[],intitial_cond=reactor.Tmo5,time_step=dt)\n",
    "    Tmo6=reactor.integrator(reactor.DTmo6,argsforfunction=[],intitial_cond=reactor.Tmo6,time_step=dt)\n",
    "    Tmo7=reactor.integrator(reactor.DTmo7,argsforfunction=[],intitial_cond=reactor.Tmo7,time_step=dt)\n",
    "    Tmo8=reactor.integrator(reactor.DTmo8,argsforfunction=[],intitial_cond=reactor.Tmo8,time_step=dt)\n",
    "    Tmo9=reactor.integrator(reactor.DTmo9,argsforfunction=[],intitial_cond=reactor.Tmo9,time_step=dt)\n",
    "    Tmo10=reactor.integrator(reactor.DTmo10,argsforfunction=[],intitial_cond=reactor.Tmo10,time_step=dt)\n",
    "\n",
    "    Thl=reactor.integrator(reactor.DThl,argsforfunction=[],intitial_cond=reactor.Thl,time_step=dt)\n",
    "    Tcl=reactor.integrator(reactor.DTcl,argsforfunction=[380],intitial_cond=reactor.Tcl,time_step=dt)\n",
    "    Tlp=reactor.integrator(reactor.DTlp,argsforfunction=[],intitial_cond=reactor.Tlp,time_step=dt)\n",
    "    Tup=reactor.integrator(reactor.DTup,argsforfunction=[],intitial_cond=reactor.Tup,time_step=dt)\n",
    "\n",
    "    fuel_temp=Tf1+Tf2+Tf3+Tf4+Tf5\n",
    "    mod_temp=Tmo1+Tmo2+Tmo3+Tmo4+Tmo5+Tmo6+Tmo7+Tmo8+Tmo9+Tmo10\n",
    "\n",
    "    reactor.Reactivity(FuelTempSum=fuel_temp,ModeratorTempSum=mod_temp)\n",
    "\n",
    "    modarray=[reactor.DTcl(380),reactor.DTlp(),reactor.DTmo1(),reactor.DTmo2(),reactor.DTmo3(),reactor.DTmo4(),reactor.DTmo5(),reactor.DTmo6(),reactor.DTmo7(),reactor.DTmo8(),reactor.DTmo9(),reactor.DTmo10(),reactor.DTup(),reactor.DThl()]\n",
    "\n",
    "    pressurizer.Pressure=pressurizer.integrator(pressurizer.DPp,argsforfunction=[modarray,reactor.Tcl],intitial_cond=pressurizer.Pressure,time_step=dt)\n",
    "    pressurizer.l_w=pressurizer.integrator(pressurizer.Dlw,argsforfunction=[modarray,reactor.Tcl],intitial_cond=pressurizer.l_w,time_step=dt)\n",
    "\n",
    "    reactor.PowerRatio=PowerRatio\n",
    "    reactor.Precursor=Precursor\n",
    "    reactor.Tf1=Tf1\n",
    "    reactor.Tf2=Tf2\n",
    "    reactor.Tf3=Tf3\n",
    "    reactor.Tf4=Tf4\n",
    "    reactor.Tf5=Tf5\n",
    "    \n",
    "    reactor.Tmo1=Tmo1\n",
    "    reactor.Tmo2=Tmo2\n",
    "    reactor.Tmo3=Tmo3\n",
    "    reactor.Tmo4=Tmo4\n",
    "    reactor.Tmo5=Tmo5\n",
    "    reactor.Tmo6=Tmo6\n",
    "    reactor.Tmo7=Tmo7\n",
    "    reactor.Tmo8=Tmo8\n",
    "    reactor.Tmo9=Tmo9\n",
    "    reactor.Tmo10=Tmo10\n",
    "\n",
    "    reactor.Thl=Thl\n",
    "    reactor.Tup=Tup\n",
    "    reactor.Tlp=Tcl\n",
    "    reactor.Tcl=Tcl\n",
    "\n",
    "    if tim>200 and tim<250:\n",
    "        reactor.ExternalReactivity=0.001\n",
    "    elif tim>300 and tim<350:\n",
    "        reactor.ExternalReactivity=-0.0001\n",
    "    else:\n",
    "        reactor.ExternalReactivity=0\n",
    "    \n",
    "    if (i%1000)==0:\n",
    "        data_sheet2.write(row,0,t[i])\n",
    "        \n",
    "        data_sheet2.write(row,1,Tf1)\n",
    "        data_sheet2.write(row,2,Tf2)\n",
    "        data_sheet2.write(row,3,Tf3)\n",
    "        data_sheet2.write(row,4,Tf4)\n",
    "        data_sheet2.write(row,5,Tf5)\n",
    "\n",
    "        data_sheet2.write(row,6,Tmo1)\n",
    "        data_sheet2.write(row,7,Tmo2)\n",
    "        data_sheet2.write(row,8,Tmo3)\n",
    "        data_sheet2.write(row,9,Tmo4)\n",
    "        data_sheet2.write(row,10,Tmo5)\n",
    "        data_sheet2.write(row,11,Tmo6)\n",
    "        data_sheet2.write(row,12,Tmo7)\n",
    "        data_sheet2.write(row,13,Tmo8)\n",
    "        data_sheet2.write(row,14,Tmo9)\n",
    "        data_sheet2.write(row,15,Tmo10)\n",
    "        data_sheet2.write(row,16,reactor.PowerRatio)\n",
    "        data_sheet2.write(row,17,Thl)\n",
    "        data_sheet2.write(row,18,Tcl)\n",
    "        data_sheet2.write(row,19,Tlp)\n",
    "        data_sheet2.write(row,20,Tup)\n",
    "        data_sheet2.write(row,21,reactor.Precursor)\n",
    "        data_sheet2.write(row,22,reactor.reactivity)\n",
    "\n",
    "        data_sheet1.write(row,0,t[i])\n",
    "        data_sheet1.write(row,1,pressurizer.Pressure)\n",
    "        data_sheet1.write(row,2,pressurizer.l_w)\n",
    "        row=row+1\n",
    "\n",
    "    tim=tim+dt\n",
    "work_book1.close()\n",
    "work_book2.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
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       "      <td>...</td>\n",
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       "      <td>526.124837</td>\n",
       "      <td>549.103746</td>\n",
       "      <td>572.046744</td>\n",
       "      <td>...</td>\n",
       "      <td>657.629123</td>\n",
       "      <td>677.489899</td>\n",
       "      <td>697.280015</td>\n",
       "      <td>0.696370</td>\n",
       "      <td>624.150967</td>\n",
       "      <td>478.141535</td>\n",
       "      <td>478.174750</td>\n",
       "      <td>681.192788</td>\n",
       "      <td>1990.548998</td>\n",
       "      <td>-3.263491e-04</td>\n",
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       "      <td>...</td>\n",
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       "      <td>424.876346</td>\n",
       "      <td>447.314498</td>\n",
       "      <td>469.752648</td>\n",
       "      <td>...</td>\n",
       "      <td>559.505117</td>\n",
       "      <td>581.943202</td>\n",
       "      <td>604.381283</td>\n",
       "      <td>0.721945</td>\n",
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       "      <td>380.000000</td>\n",
       "      <td>380.000000</td>\n",
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       "      <td>1963.654902</td>\n",
       "      <td>3.360080e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>486</th>\n",
       "      <td>486.000972</td>\n",
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       "      <td>...</td>\n",
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       "    <tr>\n",
       "      <th>487</th>\n",
       "      <td>487.000974</td>\n",
       "      <td>989.908630</td>\n",
       "      <td>1034.784765</td>\n",
       "      <td>1079.660853</td>\n",
       "      <td>1124.536893</td>\n",
       "      <td>1169.412886</td>\n",
       "      <td>402.438288</td>\n",
       "      <td>424.876574</td>\n",
       "      <td>447.314842</td>\n",
       "      <td>469.753108</td>\n",
       "      <td>...</td>\n",
       "      <td>559.506048</td>\n",
       "      <td>581.944253</td>\n",
       "      <td>604.382454</td>\n",
       "      <td>0.721948</td>\n",
       "      <td>604.379677</td>\n",
       "      <td>380.000000</td>\n",
       "      <td>380.000000</td>\n",
       "      <td>604.381631</td>\n",
       "      <td>1963.670529</td>\n",
       "      <td>3.137491e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>488</th>\n",
       "      <td>488.000976</td>\n",
       "      <td>989.910105</td>\n",
       "      <td>1034.786363</td>\n",
       "      <td>1079.662576</td>\n",
       "      <td>1124.538742</td>\n",
       "      <td>1169.414863</td>\n",
       "      <td>402.438343</td>\n",
       "      <td>424.876683</td>\n",
       "      <td>447.315006</td>\n",
       "      <td>469.753326</td>\n",
       "      <td>...</td>\n",
       "      <td>559.506490</td>\n",
       "      <td>581.944752</td>\n",
       "      <td>604.383011</td>\n",
       "      <td>0.721950</td>\n",
       "      <td>604.380327</td>\n",
       "      <td>380.000000</td>\n",
       "      <td>380.000000</td>\n",
       "      <td>604.382215</td>\n",
       "      <td>1963.677950</td>\n",
       "      <td>3.031789e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>489</th>\n",
       "      <td>489.000978</td>\n",
       "      <td>989.911530</td>\n",
       "      <td>1034.787907</td>\n",
       "      <td>1079.664240</td>\n",
       "      <td>1124.540529</td>\n",
       "      <td>1169.416773</td>\n",
       "      <td>402.438395</td>\n",
       "      <td>424.876788</td>\n",
       "      <td>447.315163</td>\n",
       "      <td>469.753537</td>\n",
       "      <td>...</td>\n",
       "      <td>559.506918</td>\n",
       "      <td>581.945234</td>\n",
       "      <td>604.383548</td>\n",
       "      <td>0.721951</td>\n",
       "      <td>604.380955</td>\n",
       "      <td>380.000000</td>\n",
       "      <td>380.000000</td>\n",
       "      <td>604.382779</td>\n",
       "      <td>1963.685121</td>\n",
       "      <td>2.929648e-07</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>490 rows × 23 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "              T          Tf1          Tf2          Tf3          Tf4  \\\n",
       "0      0.000000  1073.256842  1075.756759  1078.256676  1080.756593   \n",
       "1      1.000002  1093.410398  1105.635176  1116.411077  1125.857746   \n",
       "2      2.000004  1092.589906  1113.582333  1132.889192  1150.601332   \n",
       "3      3.000006  1081.881642  1109.709838  1135.825795  1160.287775   \n",
       "4      4.000008  1067.447066  1100.433170  1131.808470  1161.601026   \n",
       "..          ...          ...          ...          ...          ...   \n",
       "485  485.000970   989.905525  1034.781401  1079.657226  1124.533000   \n",
       "486  486.000972   989.907104  1034.783112  1079.659070  1124.534980   \n",
       "487  487.000974   989.908630  1034.784765  1079.660853  1124.536893   \n",
       "488  488.000976   989.910105  1034.786363  1079.662576  1124.538742   \n",
       "489  489.000978   989.911530  1034.787907  1079.664240  1124.540529   \n",
       "\n",
       "             Tf5        Tmo1        Tmo2        Tmo3        Tmo4  ...  \\\n",
       "0    1083.256510  583.471543  584.669042  585.780383  586.891494  ...   \n",
       "1    1134.091271  540.828975  563.936845  585.753370  607.493941  ...   \n",
       "2    1166.809962  502.144358  526.124837  549.103746  572.046744  ...   \n",
       "3    1183.157098  474.198935  498.428465  521.905324  545.369024  ...   \n",
       "4    1189.843458  454.029951  478.186434  501.792174  525.397044  ...   \n",
       "..           ...         ...         ...         ...         ...  ...   \n",
       "485  1169.408722  402.438174  424.876346  447.314498  469.752648  ...   \n",
       "486  1169.410840  402.438232  424.876462  447.314673  469.752882  ...   \n",
       "487  1169.412886  402.438288  424.876574  447.314842  469.753108  ...   \n",
       "488  1169.414863  402.438343  424.876683  447.315006  469.753326  ...   \n",
       "489  1169.416773  402.438395  424.876788  447.315163  469.753537  ...   \n",
       "\n",
       "           Tmo8        Tmo9       Tmo10     Power         Thl         Tcl  \\\n",
       "0    591.336398  592.447739  593.558850  0.943423  598.158985  573.094649   \n",
       "1    686.599956  704.481083  722.241480  0.708809  605.292201  517.661197   \n",
       "2    657.629123  677.489899  697.280015  0.696370  624.150967  478.141535   \n",
       "3    634.481574  655.549807  676.575410  0.692088  641.238471  449.967145   \n",
       "4    616.266342  638.050976  659.810793  0.692107  652.183797  429.881035   \n",
       "..          ...         ...         ...       ...         ...         ...   \n",
       "485  559.505117  581.943202  604.381283  0.721945  604.378309  380.000000   \n",
       "486  559.505591  581.943736  604.381879  0.721947  604.379005  380.000000   \n",
       "487  559.506048  581.944253  604.382454  0.721948  604.379677  380.000000   \n",
       "488  559.506490  581.944752  604.383011  0.721950  604.380327  380.000000   \n",
       "489  559.506918  581.945234  604.383548  0.721951  604.380955  380.000000   \n",
       "\n",
       "            Tlp         Tup    Precursor    Reactivity  \n",
       "0    578.091468  595.158557  2000.056555 -6.344073e-07  \n",
       "1    517.707788  652.905840  1997.259317 -2.309257e-04  \n",
       "2    478.174750  681.192788  1990.548998 -3.263491e-04  \n",
       "3    449.990824  683.335082  1982.725972 -3.411317e-04  \n",
       "4    429.897917  674.884924  1975.109119 -3.148850e-04  \n",
       "..          ...         ...          ...           ...  \n",
       "485  380.000000  604.380401  1963.654902  3.360080e-07  \n",
       "486  380.000000  604.381027  1963.662850  3.246879e-07  \n",
       "487  380.000000  604.381631  1963.670529  3.137491e-07  \n",
       "488  380.000000  604.382215  1963.677950  3.031789e-07  \n",
       "489  380.000000  604.382779  1963.685121  2.929648e-07  \n",
       "\n",
       "[490 rows x 23 columns]"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "path='/media/ebny_walid/New Volume/Thesis/thesis_final_code/test_case_reactor_a.excel'\n",
    "from pandas import read_excel\n",
    "data1=read_excel(path)\n",
    "data1.head(-10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Transient Power Factor')"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(data1['T'],data1['Power'])\n",
    "\n",
    "plt.xlabel(\"Time (sec)\")\n",
    "plt.ylabel('Transient Power Factor')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.plot(np.array(data1[\"T\"]),np.array(data1[\"Tf1\"])-273.16)\n",
    "plt.plot(np.array(data1[\"T\"]),np.array(data1[\"Tf2\"])-273.16 )\n",
    "plt.plot(np.array(data1[\"T\"]),np.array(data1[\"Tf3\"])-273.16 )\n",
    "plt.plot(np.array(data1[\"T\"]),np.array(data1[\"Tf4\"])-273.16 )\n",
    "plt.plot(np.array(data1[\"T\"]),np.array(data1[\"Tf5\"])-273.16 )\n",
    "\n",
    "\n",
    "plt.legend(['Fuel node 1','Fuel node 2','Fuel node 3','Fuel node 4','Fuel node 5','Fuel node 1','Fuel node 2','Fuel node 3','Fuel node 4','Fuel node 5'])\n",
    "plt.xlabel('Time (sec)')\n",
    "plt.ylabel(\"fuel_temp (C)\")\n",
    "\n",
    "TEMP=(np.array(data1[\"Tf1\"])+np.array(data1[\"Tf2\"])+np.array(data1[\"Tf3\"])+np.array(data1[\"Tf4\"])+np.array(data1[\"Tf5\"]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5477.190146933905"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.average(np.array(data1[\"Tf1\"])+np.array(data1[\"Tf2\"])+np.array(data1[\"Tf3\"])+np.array(data1[\"Tf4\"])+np.array(data1[\"Tf5\"]))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(data1['T'],data1['Precursor'])\n",
    "plt.ylabel(\"Precursor\\n Concentration\")\n",
    "plt.xlabel(\"Time (s)\")\n",
    "\n",
    "resolution_value = 300\n",
    "plt.savefig(\"myImage.png\", format=\"png\", dpi=resolution_value)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fbf08df3b20>]"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n",
    "plt.plot(data1['T'],data1['Tmo1'])\n",
    "plt.plot(data1['T'],data1['Tmo2'])\n",
    "plt.plot(data1['T'],data1['Tmo3'])\n",
    "plt.plot(data1['T'],data1['Tmo4'])\n",
    "plt.plot(data1['T'],data1['Tmo5'])\n",
    "plt.plot(data1['T'],data1['Tmo6'])\n",
    "plt.plot(data1['T'],data1['Tmo7'])\n",
    "plt.plot(data1['T'],data1['Tmo8'])\n",
    "plt.plot(data1['T'],data1['Tmo9'])\n",
    "plt.plot(data1['T'],data1['Tmo10'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Reactivity, $\\\\rho$')"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(data1['T'],data1['Reactivity'])\n",
    "plt.xlabel(\"Time (s)\")\n",
    "plt.ylabel(r\"Reactivity, $\\rho$\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Average fuel temperature, $C$')"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot (TEMP/5-273.16)\n",
    "plt.yscale('log')\n",
    "plt.xlabel(\"Time ,$Sec$\")\n",
    "plt.ylabel(r\"Average fuel temperature, $C$\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "mod_temp=np.array(data1['Tmo1'])+np.array(data1['Tmo2'])+np.array(data1['Tmo3'])+np.array(data1['Tmo4'])+np.array(data1['Tmo5'])+np.array(data1['Tmo6'])+np.array(data1['Tmo7'])+np.array(data1['Tmo8'])+np.array(data1['Tmo9'])+np.array(data1['Tmo10'])\n",
    "mod_temp=mod_temp/10\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(data1['T'],np.array(data1['Tf2'])-(np.array(data1['Tmo4'])/2+np.array(data1['Tmo3'])/2)-55)\n",
    "plt.xlabel(\"Time ,$Sec$\")\n",
    "plt.ylabel(\"Transient temperature difference\\n between 2nd fuel node and\\n average temperature of \\n 3rd and 4th moderator node \\n $T_{f2}-(T_{mod3}+T_{mod4})/2$, \\n $C$\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>T</th>\n",
       "      <th>P</th>\n",
       "      <th>Lw</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.500000e+07</td>\n",
       "      <td>8.562575</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.000002</td>\n",
       "      <td>1.500000e+07</td>\n",
       "      <td>9.283087</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2.000004</td>\n",
       "      <td>1.500000e+07</td>\n",
       "      <td>8.352598</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3.000006</td>\n",
       "      <td>1.500000e+07</td>\n",
       "      <td>7.629820</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4.000008</td>\n",
       "      <td>1.500000e+07</td>\n",
       "      <td>7.073736</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>490</th>\n",
       "      <td>490.000980</td>\n",
       "      <td>1.500000e+07</td>\n",
       "      <td>5.384135</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>491</th>\n",
       "      <td>491.000982</td>\n",
       "      <td>1.500000e+07</td>\n",
       "      <td>5.384143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>492</th>\n",
       "      <td>492.000984</td>\n",
       "      <td>1.500000e+07</td>\n",
       "      <td>5.384150</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>493</th>\n",
       "      <td>493.000986</td>\n",
       "      <td>1.500000e+07</td>\n",
       "      <td>5.384156</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>494</th>\n",
       "      <td>494.000988</td>\n",
       "      <td>1.500000e+07</td>\n",
       "      <td>5.384163</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>495 rows × 3 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "              T             P        Lw\n",
       "0      0.000000  1.500000e+07  8.562575\n",
       "1      1.000002  1.500000e+07  9.283087\n",
       "2      2.000004  1.500000e+07  8.352598\n",
       "3      3.000006  1.500000e+07  7.629820\n",
       "4      4.000008  1.500000e+07  7.073736\n",
       "..          ...           ...       ...\n",
       "490  490.000980  1.500000e+07  5.384135\n",
       "491  491.000982  1.500000e+07  5.384143\n",
       "492  492.000984  1.500000e+07  5.384150\n",
       "493  493.000986  1.500000e+07  5.384156\n",
       "494  494.000988  1.500000e+07  5.384163\n",
       "\n",
       "[495 rows x 3 columns]"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "PATH='/media/ebny_walid/New Volume/Thesis/thesis_final_code/test_case_pressurizer.excel'\n",
    "data=pd.read_excel(PATH)\n",
    "data.head(-5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Sub cool region height $L_w$ $(m)$')"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(data['T'],data['Lw'])\n",
    "plt.xlabel(\"Time $(Sec)$\")\n",
    "plt.ylabel(\"Sub cool region height $L_w$ $(m)$\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '$P_{pressurizer}$ $(Pa)$')"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(data['T'],data['P'])\n",
    "plt.yscale('log')\n",
    "plt.xlabel(r\"Time $(Sec)$\")\n",
    "plt.ylabel(r\"$P_{pressurizer}$ $(Pa)$\")"
   ]
  },
  {
   "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": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}