{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "

Please cite us if you use the software

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Amphlett Static Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Version 1.4" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Overview" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

\n", "The Amphlett static model has been used to predict the performance of proton exchange membrane fuel cell. Key concepts in Amphlett static model are Nernst voltage, activation polarization loss, ohmic polarization loss and concentration polarization loss. Amphlett static model has a mechanistic and empirical approach to describe the performance of proton exchange membrane fuel cell. The ideal standard potential of an H2/O2 fuel cell is 1.229 V with liquid water product. The actual cell potential is decreased from its reference potential because of irreversible losses.\n", "

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", " \n", " \n", "

Fig1. Graphical Abstract of Static Models

\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Nernst Voltage\n", "\n", "$$E_{Nernst}(V)=1.229-(8.5\\times10^{-4})(T-298.15)+(4.308\\times10^{-5})(T)[\\ln(P_{H2})+0.5ln(P_{O2})]$$\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.19075" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from opem.Static.Amphlett import Enernst_Calc\n", "Enernst=Enernst_Calc(T=343.15,PH2=1,PO2=1)\n", "Enernst" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Notice : from opem.Amphlett in version (0.3>)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## PEM Losses Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Activation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\eta_{activation}=\\xi_{1}+\\xi_{2}T+\\xi_{3}T[ln(C_{O_{2}})]+\\xi_{4}T[ln(i)]$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\xi_{1}=-0.948$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\xi_{2}=0.00286+0.0002\\times ln(A)+(4.3\\times10^{-5})[ln(C_{H_{2}})]$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\xi_{3}=7.6\\times10^{-5}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\xi_{4}=-1.93\\times10^{-4}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$C_{H_{2}}=\\frac{P_{H_2}}{1.09\\times10^{6}\\times exp(\\frac{77}{T})}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$C_{O_{2}}=\\frac{P_{O_2}}{5.08\\times10^{6}\\times exp(\\frac{-498}{T})}$$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "XI1=-0.948\n", "XI3=7.6e-05\n", "XI4=-0.000193\n" ] } ], "source": [ "from opem.Params import xi1,xi3,xi4\n", "print(\"XI1=\"+str(xi1))\n", "print(\"XI3=\"+str(xi3))\n", "print(\"XI4=\"+str(xi4))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "XI2=0.0030373688787134006\n", "CO2=8.402541445801334e-07\n", "CH2=7.330294784824117e-07\n" ] } ], "source": [ "from opem.Static.Amphlett import CO2_Calc,CH2_Calc,Xi2_Calc\n", "CO2=CO2_Calc(PO2=1,T=343.15)\n", "CH2=CH2_Calc(PH2=1,T=343.15)\n", "XI2=Xi2_Calc(A=50.6,PH2=1,T=343.15)\n", "print(\"XI2=\"+str(XI2))\n", "print(\"CO2=\"+str(CO2))\n", "print(\"CH2=\"+str(CH2))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.3164719546471556" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from opem.Static.Amphlett import Eta_Act_Calc\n", "Eta_Act=Eta_Act_Calc(T=343.15,PO2=1 , PH2=1, i=2, A=50.6)\n", "Eta_Act" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Ohmic" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\eta_{ohmic}=i(R_{electronic}+R_{Proton})$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$R_{Proton}=\\frac{\\rho_m\\times I}{A}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\rho_m=\\frac{181.6[1+0.03(\\frac{i}{A})+0.062(\\frac{T}{303})^2(\\frac{i}{A})^{2.5}]}{[\\lambda-0.634-3(\\frac{i}{A})]exp[4.18(\\frac{T-303}{T})]}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* R-Electronic Should be approximately constant over the relatively narrow\n", "temperature range of PEM fuel cell operation.\n", "Therefore, the parameter R-Electronic can be taken as a constant, but\n", "is generally difficult to predict and, therefore, is initially an unknown." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "5.011385192458396" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from opem.Static.Amphlett import Rho_Calc\n", "Rho_Calc(i=2, A=50.6, T=343.15, lambda_param=23)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0035257966966703337" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from opem.Static.Amphlett import Eta_Ohmic_Calc\n", "Eta_Ohmic=Eta_Ohmic_Calc(i=2, l=0.0178, A=50.6, T=343.15, lambda_param=23, R_elec=0)\n", "Eta_Ohmic" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Concentration" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$B=\\frac{RT}{nF}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\eta_{Concentration}=-B\\times ln(1-\\frac{J}{J_{Max}})$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$J=\\frac{i}{A}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$J_{Max}=\\frac{i_L}{A}$$" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.00040055784671142223" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from opem.Static.Amphlett import Eta_Conc_Calc\n", "Eta_Conc=Eta_Conc_Calc(i=2, A=50.6, B=0.015, JMax=1.5)\n", "Eta_Conc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### VCell & VStack" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$Loss=\\eta_{Activation}+\\eta_{Ohmic}+\\eta_{Concentration}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$V_{cell}=E_{Nernst}-Loss$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$V_{Stack}=N\\times V_{cell}$$" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.3203983091905374" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from opem.Static.Amphlett import Loss_Calc,Vcell_Calc,VStack_Calc\n", "Loss=Loss_Calc(Eta_Act=Eta_Act,Eta_Conc=Eta_Conc,Eta_Ohmic=Eta_Ohmic)\n", "Loss" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.8703516908094626" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Vcell=Vcell_Calc(Enernst=Enernst,Loss=Loss)\n", "Vcell" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.7407033816189252" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "VStack=VStack_Calc(Vcell=Vcell,N=2)\n", "VStack" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Power of PEMFC" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$P=V_{cell}\\times i$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$P_{Stack}=N\\times P$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$P_{Thermal}=i\\times(N \\times E_{th}-V_{Stack})$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$E_{th}=\\frac{-\\Delta H}{nF}=1.23V$$" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.7407033816189252" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from opem.Static.Amphlett import Power_Calc,PowerStack_Calc,Power_Thermal_Calc\n", "Power=Power_Calc(Vcell=Vcell,i=2)\n", "Power" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3.4814067632378505" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "PowerStack_Calc(Power=Power,N=2)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.4385932367621495" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Power_Thermal_Calc(VStack=VStack,N=2,i=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Efficiency of PEMFC" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\eta=\\frac{\\mu_F\\times V_{cell}}{HHV}$$" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "from opem.Params import uF,HHV\n", "from opem.Static.Amphlett import Efficiency_Calc" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.95" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "uF" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.482" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "HHV" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.5579177505188863" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Efficiency_Calc(Vcell=Vcell)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Linear Approximation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sometimes quick calculations regarding fuel cell efficiency–power-size relationships need to be made. Linear approximation is a good method to find a rough estimate of the value of polarization function at a particular point. A linear polarization curve has the following form:\n", "$$V_{cell}=V_0-kI$$\n", "where V0 is the intercept (actual open circuit voltage is always higher) and k is the slope of the curve.\n", "\n", "* Notice : Simple linear regression used for this approximation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
$$Parameter$$$$Description$$$$Unit$$
$$V_0$$Intercept of the curve obtained by linear approximation$$V$$
$$k$$Slope of the curve obtained by linear approximation$$A^{-1}$$
$$P_{max}$$Maximum power obtained by linear approximation$$W$$
$$V_{FC}|P_{max}$$Cell voltage at maximum power obtained by linear approximation$$V$$
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Notice : These parameters are only available in HTML report" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Overall Parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
$$Parameter$$$$Description$$$$Unit$$
$$\\eta|P_{Max}$$Cell efficiency at maximum power$$--$$
$$P_{Max}$$Maximum power $$W$$
$$P_{Elec} $$Total electrical power $$W$$
$$P_{Thermal} $$Total thermal power $$W$$
$$V_{FC}|P_{Max}$$Cell voltage at maximum power $$V$$
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Notice : P(Thermal) & P(Elec) calculated by Simpson's Rule\n", "\n", "* Notice : These parameters are only available in HTML report" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Full Run" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Run from `i`=0 to `i`=75 with `step`=0.1" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "Test_Vector={\n", " \"T\": 343.15,\n", " \"PH2\": 1,\n", " \"PO2\": 1,\n", " \"i-start\": 0,\n", " \"i-stop\": 75,\n", " \"i-step\": 0.1,\n", " \"A\": 50.6,\n", " \"l\": 0.0178,\n", " \"lambda\": 23,\n", " \"N\": 1,\n", " \"R\": 0,\n", " \"JMax\": 1.5,\n", " \"Name\": \"Amphlett_Test\"}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Notice : \"Name\", new in version 0.5" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "###########\n", "Amphlett-Model Simulation\n", "###########\n", "Analyzing . . .\n", "I : 0\n", "Enernst : 1.19075 V\n", "Eta Activation : 0 V\n", "Eta Concentration : 0 V\n", "Eta Ohmic : 0 V\n", "Loss : 0 V\n", "PEM Efficiency : 0.763301282051282 \n", "Power : 0.0 W\n", "Power-Stack : 0.0 W\n", "Power-Thermal : 0.0 W\n", "VStack : 1.19075 V\n", "Vcell : 1.19075 V\n", "###########\n", "I : 0.1\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.11807074742083559 V\n", "Eta Concentration : 1.9492837182237548e-05 V\n", "Eta Ohmic : 0.00017520002843124318 V\n", "Loss : 0.11826544028644907 V\n", "PEM Efficiency : 0.6874901023804812 \n", "Power : 0.10724845597135509 W\n", "Power-Stack : 0.10724845597135509 W\n", "Power-Thermal : 0.015751544028644916 W\n", "VStack : 1.0724845597135508 V\n", "Vcell : 1.0724845597135508 V\n", "###########\n", "I : 0.2\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.1639764642376006 V\n", "Eta Concentration : 3.90114074903386e-05 V\n", "Eta Ohmic : 0.0003505137928660484 V\n", "Loss : 0.164365989437957 V\n", "PEM Efficiency : 0.6579384683090018 \n", "Power : 0.20527680211240862 W\n", "Power-Stack : 0.20527680211240862 W\n", "Power-Thermal : 0.040723197887591406 W\n", "VStack : 1.026384010562043 V\n", "Vcell : 1.026384010562043 V\n", "###########\n", "I : 0.3\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.1908295871441327 V\n", "Eta Concentration : 5.8555778956387346e-05 V\n", "Eta Ohmic : 0.0005259414221215358 V\n", "Loss : 0.19141408434521062 V\n", "PEM Efficiency : 0.6405999459325573 \n", "Power : 0.2998007746964368 W\n", "Power-Stack : 0.2998007746964368 W\n", "Power-Thermal : 0.06919922530356316 W\n", "VStack : 0.9993359156547894 V\n", "Vcell : 0.9993359156547894 V\n", "###########\n", "I : 0.4\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.20988218105436562 V\n", "Eta Concentration : 7.812601988262199e-05 V\n", "Eta Ohmic : 0.0007014830568214833 V\n", "Loss : 0.21066179013106975 V\n", "PEM Efficiency : 0.628261672992904 \n", "Power : 0.3920352839475721 W\n", "Power-Stack : 0.3920352839475721 W\n", "Power-Thermal : 0.09996471605242792 W\n", "VStack : 0.9800882098689302 V\n", "Vcell : 0.9800882098689302 V\n", "###########\n", "I : 0.5\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.22466052101362555 V\n", "Eta Concentration : 9.772219884285375e-05 V\n", "Eta Ohmic : 0.0008771388470514419 V\n", "Loss : 0.22563538205951983 V\n", "PEM Efficiency : 0.6186632166285129 \n", "Power : 0.4825573089702401 W\n", "Power-Stack : 0.4825573089702401 W\n", "Power-Thermal : 0.13244269102975992 W\n", "VStack : 0.9651146179404801 V\n", "Vcell : 0.9651146179404801 V\n", "###########\n", "I : 0.6\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.23673530396089773 V\n", "Eta Concentration : 0.00011734438468392014 V\n", "Eta Ohmic : 0.0010529089510685316 V\n", "Loss : 0.23790555729665017 V\n", "PEM Efficiency : 0.6107977196816344 \n", "Power : 0.5717066656220099 W\n", "Power-Stack : 0.5717066656220099 W\n", "Power-Thermal : 0.16629333437799013 W\n", "VStack : 0.9528444427033498 V\n", "Vcell : 0.9528444427033498 V\n", "###########\n", "I : 0.7\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.2469443874769634 V\n", "Eta Concentration : 0.00013699264652713124 V\n", "Eta Ohmic : 0.001228793534444728 V\n", "Loss : 0.24831017365793526 V\n", "PEM Efficiency : 0.6041280938090158 \n", "Power : 0.6597078784394452 W\n", "Power-Stack : 0.6597078784394452 W\n", "Power-Thermal : 0.2012921215605547 W\n", "VStack : 0.9424398263420647 V\n", "Vcell : 0.9424398263420647 V\n", "###########\n", "I : 0.8\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.25578789787113065 V\n", "Eta Concentration : 0.0001566670537697257 V\n", "Eta Ohmic : 0.0014047927694433354 V\n", "Loss : 0.2573493576943437 V\n", "PEM Efficiency : 0.5983337450677283 \n", "Power : 0.746720513844525 W\n", "Power-Stack : 0.746720513844525 W\n", "Power-Thermal : 0.237279486155475 W\n", "VStack : 0.9334006423056562 V\n", "Vcell : 0.9334006423056562 V\n", "###########\n", "I : 0.9\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.26358842686742984 V\n", "Eta Concentration : 0.000176367676086353 V\n", "Eta Ohmic : 0.0015809068345387157 V\n", "Loss : 0.2653457013780549 V\n", "PEM Efficiency : 0.593207883732016 \n", "Power : 0.8328638687597506 W\n", "Power-Stack : 0.8328638687597506 W\n", "Power-Thermal : 0.27413613124024944 W\n", "VStack : 0.9254042986219451 V\n", "Vcell : 0.9254042986219451 V\n", "###########\n", "I : 1.0\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.2705662378303906 V\n", "Eta Concentration : 0.00019609458343054068 V\n", "Eta Ohmic : 0.0017571359140316743 V\n", "Loss : 0.2725194683278528 V\n", "PEM Efficiency : 0.5886093151744533 \n", "Power : 0.9182305316721472 W\n", "Power-Stack : 0.9182305316721472 W\n", "Power-Thermal : 0.3117694683278528 W\n", "VStack : 0.9182305316721472 V\n", "Vcell : 0.9182305316721472 V\n", "###########\n", "I : 1.1\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.27687843565296244 V\n", "Eta Concentration : 0.0002158478460361963 V\n", "Eta Ohmic : 0.001933480197732536 V\n", "Loss : 0.27902776369673116 V\n", "PEM Efficiency : 0.5844373309636339 \n", "Power : 1.0028944599335958 W\n", "Power-Stack : 1.0028944599335958 W\n", "Power-Thermal : 0.35010554006640426 W\n", "VStack : 0.9117222363032689 V\n", "Vcell : 0.9117222363032689 V\n", "###########\n", "I : 1.2\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.28264102077766273 V\n", "Eta Concentration : 0.00023562753441910272 V\n", "Eta Ohmic : 0.002109939880694226 V\n", "Loss : 0.28498658819277606 V\n", "PEM Efficiency : 0.5806175716712974 \n", "Power : 1.0869160941686686 W\n", "Power-Stack : 1.0869160941686686 W\n", "Power-Thermal : 0.3890839058313312 W\n", "VStack : 0.905763411807224 V\n", "Vcell : 0.905763411807224 V\n", "###########\n", "I : 1.3\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.28794208521933035 V\n", "Eta Concentration : 0.0002554337193784237 V\n", "Eta Ohmic : 0.002286515162983545 V\n", "Loss : 0.2904840341016923 V\n", "PEM Efficiency : 0.5770935678835305 \n", "Power : 1.1703457556678 W\n", "Power-Stack : 1.1703457556678 W\n", "Power-Thermal : 0.42865424433220006 W\n", "VStack : 0.9002659658983077 V\n", "Vcell : 0.9002659658983077 V\n", "###########\n", "I : 1.4\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.29285010429372843 V\n", "Eta Concentration : 0.00027526647199823583 V\n", "Eta Ohmic : 0.0024632062494824017 V\n", "Loss : 0.295588577015209 V\n", "PEM Efficiency : 0.5738214249902506 \n", "Power : 1.2532259921787072 W\n", "Power-Stack : 1.2532259921787072 W\n", "Power-Thermal : 0.4687740078212926 W\n", "VStack : 0.895161422984791 V\n", "Vcell : 0.895161422984791 V\n", "###########\n", "I : 1.5\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.29741936073692266 V\n", "Eta Concentration : 0.00029512586364904603 V\n", "Eta Ohmic : 0.002640013349713048 V\n", "Loss : 0.30035449995028474 V\n", "PEM Efficiency : 0.5707663461857149 \n", "Power : 1.3355932500745729 W\n", 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"###########\n", "I : 14.3\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.44674977345145717 V\n", "Eta Concentration : 0.0030865056517274878 V\n", "Eta Ohmic : 0.02634088170676554 V\n", "Loss : 0.47617716080995015 V\n", "PEM Efficiency : 0.458059512301314 \n", "Power : 10.218391600417714 W\n", "Power-Stack : 10.218391600417714 W\n", "Power-Thermal : 7.370608399582287 W\n", "VStack : 0.7145728391900499 V\n", "Vcell : 0.7145728391900499 V\n", "###########\n", "I : 14.4\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.4472112941344899 V\n", "Eta Concentration : 0.0031105272896047396 V\n", "Eta Ohmic : 0.026535504600708918 V\n", "Loss : 0.4768573260248036 V\n", "PEM Efficiency : 0.45762350895845927 \n", "Power : 10.280054505242829 W\n", "Power-Stack : 10.280054505242829 W\n", "Power-Thermal : 7.431945494757172 W\n", "VStack : 0.7138926739751964 V\n", "Vcell : 0.7138926739751964 V\n", "###########\n", "I : 14.5\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.4476696208771782 V\n", "Eta 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"Loss : 0.787424233047606 V\n", "PEM Efficiency : 0.2585421583028166 \n", "Power : 28.91845749048665 W\n", "Power-Stack : 28.91845749048665 W\n", "Power-Thermal : 59.27254250951335 W\n", "VStack : 0.40332576695239397 V\n", "Vcell : 0.40332576695239397 V\n", "###########\n", "I : 71.8\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5536168452162828 V\n", "Eta Concentration : 0.04314990217264213 V\n", "Eta Ohmic : 0.19154751209298052 V\n", "Loss : 0.7883142594819055 V\n", "PEM Efficiency : 0.25797162853724004 \n", "Power : 28.894886169199182 W\n", "Power-Stack : 28.894886169199182 W" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Power-Thermal : 59.41911383080081 W\n", "VStack : 0.4024357405180945 V\n", "Vcell : 0.4024357405180945 V\n", "###########\n", "I : 71.9\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5537090205269171 V\n", "Eta Concentration : 0.04351499022453467 V\n", "Eta Ohmic : 0.19198976260675898 V\n", "Loss : 0.7892137733582107 V\n", "PEM Efficiency : 0.25739501707807 \n", "Power : 28.870454695544648 W\n", "Power-Stack : 28.870454695544648 W\n", "Power-Thermal : 59.56654530445536 W\n", "VStack : 0.40153622664178923 V\n", "Vcell : 0.40153622664178923 V\n", "###########\n", "I : 72.0\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5538010677272799 V\n", "Eta Concentration : 0.04388932198717597 V\n", "Eta Ohmic : 0.1924328327206399 V\n", "Loss : 0.7901232224350958 V\n", "PEM Efficiency : 0.2568120369005796 \n", "Power : 28.8451279846731 W\n", "Power-Stack : 28.8451279846731 W\n", "Power-Thermal : 59.7148720153269 W\n", "VStack : 0.40062677756490417 V\n", "Vcell : 0.40062677756490417 V\n", "###########\n", "I : 72.1\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5538929871729863 V\n", "Eta Concentration : 0.04427337773231908 V\n", "Eta Ohmic : 0.19287672429292435 V\n", "Loss : 0.7910430891982297 V\n", "PEM Efficiency : 0.2562223787190835 \n", "Power : 28.81886826880763 W\n", "Power-Stack : 28.81886826880763 W\n", "Power-Thermal : 59.86413173119236 W\n", "VStack : 0.39970691080177023 V\n", "Vcell : 0.39970691080177023 V\n", "###########\n", "I : 72.2\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5539847792181727 V\n", "Eta Concentration : 0.04466767616222325 V\n", "Eta Ohmic : 0.19332143918508152 V\n", "Loss : 0.7919738945654774 V\n", "PEM Efficiency : 0.25562570861187345 \n", "Power : 28.791634812372532 W\n", "Power-Stack : 28.791634812372532 W\n", "Power-Thermal : 60.01436518762747 W\n", "VStack : 0.3987761054345226 V\n", "Vcell : 0.3987761054345226 V\n", "###########\n", "I : 72.3\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5540764442155051 V\n", "Eta Concentration : 0.04507277862246643 V\n", "Eta Ohmic : 0.1937669792617531 V\n", "Loss : 0.7929162020997246 V\n", "PEM Efficiency : 0.2550216653206894 \n", "Power : 28.76338358818991 W\n", "Power-Stack : 28.76338358818991 W\n", "Power-Thermal : 60.165616411810085 W\n", "VStack : 0.3978337979002754 V\n", "Vcell : 0.3978337979002754 V\n", "###########\n", "I : 72.4\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5541679825161872 V\n", "Eta Concentration : 0.04548929390833319 V\n", "Eta Ohmic : 0.1942133463907589 V\n", "Loss : 0.7938706228152793 V\n", "PEM Efficiency : 0.2544098571696927 \n", "Power : 28.734066908173777 W\n", "Power-Stack : 28.734066908173777 W\n", "Power-Thermal : 60.31793309182623 W\n", "VStack : 0.39687937718472066 V\n", "Vcell : 0.39687937718472066 V\n", "###########\n", "I : 72.5\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5542593944699682 V\n", "Eta Concentration : 0.04591788376805274 V\n", "Eta Ohmic : 0.19466054244310055 V\n", "Loss : 0.7948378206811215 V\n", "PEM Efficiency : 0.25378985853774255 \n", "Power : 28.703633000618687 W\n", "Power-Stack : 28.703633000618687 W\n", "Power-Thermal : 60.47136699938131 W\n", "VStack : 0.39591217931887845 V\n", "Vcell : 0.39591217931887845 V\n", "###########\n", "I : 72.6\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5543506804251513 V\n", "Eta Concentration : 0.04635926922775841 V\n", "Eta Ohmic : 0.19510856929296722 V\n", "Loss : 0.795818518945877 V\n", "PEM Efficiency : 0.253161205803925 \n", "Power : 28.672025524529328 W\n", "Power-Stack : 28.672025524529328 W\n", "Power-Thermal : 60.62597447547066 W\n", "VStack : 0.394931481054123 V\n", "Vcell : 0.394931481054123 V\n", "###########\n", "I : 72.7\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5544418407286016 V\n", "Eta Concentration : 0.04681423788994555 V\n", "Eta Ohmic : 0.19555742881773933 V\n", "Loss : 0.7968135074362864 V\n", "PEM Efficiency : 0.25252339266904716 \n", "Power : 28.639183009381977 W\n", "Power-Stack : 28.639183009381977 W\n", "Power-Thermal : 60.781816990618026 W\n", "VStack : 0.39393649256371355 V\n", "Vcell : 0.39393649256371355 V\n", "###########\n", "I : 72.8\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5545328757257533 V\n", "Eta Concentration : 0.047283652390957574 V\n", "Eta Ohmic : 0.19600712289799402 V\n", "Loss : 0.7978236510147049 V\n", "PEM Efficiency : 0.2518758647341635 \n", "Power : 28.605038206129482 W\n", "Power-Stack : 28.605038206129482 W\n", "Power-Thermal : 60.93896179387051 W\n", "VStack : 0.3929263489852951 V\n", "Vcell : 0.3929263489852951 V\n", "###########\n", "I : 72.9\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5546237857606183 V\n", "Eta Concentration : 0.04776846024563616 V\n", "Eta Ohmic : 0.19645765341750968 V\n", "Loss : 0.7988498994237642 V\n", "PEM Efficiency : 0.2512180131898948 \n", "Power : 28.569517332007592 W\n", "Power-Stack : 28.569517332007592 W\n", "Power-Thermal : 61.097482667992416 W\n", "VStack : 0.3919001005762358 V\n", "Vcell : 0.3919001005762358 V\n", "###########\n", "I : 73.0\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5547145711757941 V\n", "Eta Concentration : 0.04826970536144185 V\n", "Eta Ohmic : 0.1969090222632704 V\n", "Loss : 0.7998932988005063 V\n", "PEM Efficiency : 0.2505491674355728 \n", "Power : 28.53253918756304 W\n", "Power-Stack : 28.53253918756304 W\n", "Power-Thermal : 61.25746081243696 W\n", "VStack : 0.3908567011994937 V\n", "Vcell : 0.3908567011994937 V\n", "###########\n", "I : 73.1\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5548052323124709 V\n", "Eta Concentration : 0.04878854157374401 V\n", "Eta Ohmic : 0.1973612313254713 V\n", "Loss : 0.8009550052116862 V\n", "PEM Efficiency : 0.24986858640276527 \n", "Power : 28.49401411902574 W\n", "Power-Stack : 28.49401411902574 W\n", "Power-Thermal : 61.418985880974255 W\n", "VStack : 0.3897949947883138 V\n", "Vcell : 0.3897949947883138 V\n", "###########\n", "I : 73.2\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5548957695104396 V\n", "Eta Concentration : 0.04932624864356793 V\n", "Eta Ohmic : 0.19781428249752323 V\n", "Loss : 0.8020363006515308 V\n", "PEM Efficiency : 0.24917544830030078 \n", "Power : 28.45384279230795 W\n", "Power-Stack : 28.45384279230795 W\n", "Power-Thermal : 61.582157207692056 W\n", "VStack : 0.3887136993484692 V\n", "Vcell : 0.3887136993484692 V\n", "###########\n", "I : 73.3\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5549861831080996 V\n", "Eta Concentration : 0.049884251275756505 V\n", "Eta Ohmic : 0.19826817767605667 V\n", "Loss : 0.8031386120599127 V\n", "PEM Efficiency : 0.2484688384231329 \n", "Power : 28.4119147360084 W\n", "Power-Stack : 28.4119147360084 W\n", "Power-Thermal : 61.74708526399159 W\n", "VStack : 0.3876113879400873 V\n", "Vcell : 0.3876113879400873 V\n", "###########\n", "I : 73.4\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5550764734424662 V\n", "Eta Concentration : 0.05046414186880579 V\n", "Eta Ohmic : 0.19872291876092812 V\n", "Loss : 0.8042635340722001 V\n", "PEM Efficiency : 0.24774773456910248 \n", "Power : 28.368106599100514 W\n", "Power-Stack : 28.368106599100514 W\n", "Power-Thermal : 61.91389340089949 W\n", "VStack : 0.3864864659277999 V\n", "Vcell : 0.3864864659277999 V\n", "###########\n", "I : 73.5\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5551666408491783 V\n", "Eta Concentration : 0.05106770791104703 V\n", "Eta Ohmic : 0.19917850765522324 V\n", "Loss : 0.8054128564154486 V\n", "PEM Efficiency : 0.2470109894772765 \n", "Power : 28.322280053464528 W\n", "Power-Stack : 28.322280053464528 W\n", "Power-Thermal : 62.08271994653547 W\n", "VStack : 0.3853371435845514 V\n", "Vcell : 0.3853371435845514 V\n", "###########\n", "I : 73.6\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5552566856625056 V\n", "Eta Concentration : 0.051696965210597065 V\n", "Eta Ohmic : 0.19963494626526285 V\n", "Loss : 0.8065885971383656 V\n", "PEM Efficiency : 0.24625730952668867 \n", "Power : 28.274279250616285 W\n", "Power-Stack : 28.274279250616285 W\n", "Power-Thermal : 62.2537207493837 W\n", "VStack : 0.38416140286163436 V\n", "Vcell : 0.38416140286163436 V\n", "###########\n", "I : 73.7\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5553466082153564 V\n", "Eta Concentration : 0.05235419851633898 V\n", "Eta Ohmic : 0.2000922365006074 V\n", "Loss : 0.8077930432323027 V\n", "PEM Efficiency : 0.24548522869724185 \n", "Power : 28.22392771377929 W\n", "Power-Stack : 28.22392771377929 W\n", "Power-Thermal : 62.427072286220714 W\n", "VStack : 0.38295695676769725 V\n", "Vcell : 0.38295695676769725 V\n", "###########\n", "I : 73.8\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5554364088392845 V\n", "Eta Concentration : 0.053042011594845395 V\n", "Eta Ohmic : 0.20055038027406144 V\n", "Loss : 0.8090288007081914 V\n", "PEM Efficiency : 0.24469307646910807 \n", "Power : 28.171024507735474 W\n", "Power-Stack : 28.171024507735474 W\n", "Power-Thermal : 62.60297549226452 W\n", "VStack : 0.3817211992918086 V\n", "Vcell : 0.3817211992918086 V\n", "###########\n", "I : 73.9\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.555526087864497 V\n", "Eta Concentration : 0.05376338953421667 V\n", "Eta Ohmic : 0.20100937950167944 V\n", "Loss : 0.810298856900393 V\n", "PEM Efficiency : 0.2438789378843634 \n", "Power : 28.115339475060953 W\n", "Power-Stack : 28.115339475060953 W\n", "Power-Thermal : 62.78166052493905 W\n", "VStack : 0.3804511430996069 V\n", "Vcell : 0.3804511430996069 V\n", "###########\n", "I : 74.0\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5556156456198617 V\n", "Eta Concentration : 0.05452177704200111 V\n", "Eta Ohmic : 0.20146923610276918 V\n", "Loss : 0.8116066587646319 V\n", "PEM Efficiency : 0.24304060335600516 \n", "Power : 28.056607251417237 W\n", "Power-Stack : 28.056607251417237 W\n", "Power-Thermal : 62.96339274858276 W\n", "VStack : 0.3791433412353681 V\n", "Vcell : 0.3791433412353681 V\n", "###########\n", "I : 74.1\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5557050824329135 V\n", "Eta Concentration : 0.05532117793214832 V\n", "Eta Ohmic : 0.20192995199989816 V\n", "Loss : 0.81295621236496 V\n", "PEM Efficiency : 0.2421755048942564 \n", "Power : 27.994519663756464 W\n", "Power-Stack : 27.994519663756464 W\n", "Power-Thermal : 63.14848033624353 W\n", "VStack : 0.37779378763504 V\n", "Vcell : 0.37779378763504 V\n", "###########\n", "I : 74.2\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5557943986298626 V\n", "Eta Concentration : 0.05616628307773473 V\n", "Eta Ohmic : 0.2023915291188977 V\n", "Loss : 0.814352210826495 V\n", "PEM Efficiency : 0.24128063408558012 \n", "Power : 27.92871595667407 W\n", "Power-Stack : 27.92871595667407 W\n", "Power-Thermal : 63.33728404332593 W\n", "VStack : 0.37639778917350497 V\n", "Vcell : 0.37639778917350497 V\n", "###########\n", "I : 74.3\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5558835945356011 V\n", "Eta Concentration : 0.05706263719962751 V\n", "Eta Ohmic : 0.20285396938886757 V\n", "Loss : 0.8158002011240961 V\n", "PEM Efficiency : 0.24035243517686142 \n", "Power : 27.858770056479656 W\n", "Power-Stack : 27.858770056479656 W\n", "Power-Thermal : 63.53022994352034 W\n", "VStack : 0.37494979887590385 V\n", "Vcell : 0.37494979887590385 V\n", "###########\n", "I : 74.4\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5559726704737098 V\n", "Eta Concentration : 0.0580168595553182 V\n", "Eta Ohmic : 0.2033172747421816 V\n", "Loss : 0.8173068047712096 V\n", "PEM Efficiency : 0.2393866636081989 \n", "Power : 27.784173725022 W\n", "Power-Stack : 27.784173725022 W\n", "Power-Thermal : 63.727826274978 W\n", "VStack : 0.3734431952287903 V\n", "Vcell : 0.3734431952287903 V\n", "###########\n", "I : 74.5\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5560616267664661 V\n", "Eta Concentration : 0.05903694088342601 V\n", "Eta Ohmic : 0.20378144711449195 V\n", "Loss : 0.8188800147643841 V\n", "PEM Efficiency : 0.23837819566385632 \n", "Power : 27.704313900053382 W\n", "Power-Stack : 27.704313900053382 W\n", "Power-Thermal : 63.93068609994662 W\n", "VStack : 0.3718699852356159 V\n", "Vcell : 0.3718699852356159 V\n", "###########\n", "I : 74.6\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5561504637348502 V\n", "Eta Concentration : 0.06013265058543845 V\n", "Eta Ohmic : 0.20424648844473495 V\n", "Loss : 0.8205296027650236 V\n", "PEM Efficiency : 0.23732076745831815 \n", "Power : 27.618441633729233 W\n", "Power-Stack : 27.618441633729233 W\n", "Power-Thermal : 64.13955836627076 W\n", "VStack : 0.37022039723497635 V\n", "Vcell : 0.37022039723497635 V\n", "###########\n", "I : 74.7\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5562391816985526 V\n", "Eta Concentration : 0.061316107220728985 V\n", "Eta Ohmic : 0.20471240067513477 V\n", "Loss : 0.8222676895944163 V\n", "PEM Efficiency : 0.2362066092343485 \n", "Power : 27.5256285872971 W\n", "Power-Stack : 27.5256285872971 W\n", "Power-Thermal : 64.35537141270291 W\n", "VStack : 0.36848231040558366 V\n", "Vcell : 0.36848231040558366 V\n", "###########\n", "I : 74.8\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5563277809759803 V\n", "Eta Concentration : 0.06260259782602093 V\n", "Eta Ohmic : 0.20517918575120941 V\n", "Loss : 0.8241095645532107 V\n", "PEM Efficiency : 0.23502592015819823 \n", "Power : 27.424704571419834 W\n", "Power-Stack : 27.424704571419834 W\n", "Power-Thermal : 64.57929542858015 W\n", "VStack : 0.36664043544678926 V\n", "Vcell : 0.36664043544678926 V\n", "###########\n", "I : 74.9\n", "Enernst : 1.19075 V\n", "Eta Activation : 0.5564162618842647 V\n", "Eta Concentration : 0.06401178884389878 V\n", "Eta Ohmic : 0.20564684562177526 V\n", "Loss : 0.8260748963499388 V\n", "PEM Efficiency : 0.23376609208337254 \n", "Power : 27.314165263389583 W\n", "Power-Stack : 27.314165263389583 W\n", "Power-Thermal : 64.81283473661043 W\n", "VStack : 0.36467510365006117 V\n", "Vcell : 0.36467510365006117 V\n", "###########\n", "Report is generating ...\n", "Done!\n" ] } ], "source": [ "from opem.Static.Amphlett import Static_Analysis\n", "data=Static_Analysis(InputMethod=Test_Vector,TestMode=True,PrintMode=True,ReportMode=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Notice : \"Status\", \"V0\", \"K\" and \"EFF\" , new in version 0.8" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "###########\n", "Amphlett-Model Simulation\n", "###########\n", "Analyzing . . .\n", "Done!\n" ] } ], "source": [ "data_2=Static_Analysis(InputMethod=Test_Vector,TestMode=True,PrintMode=True,ReportMode=False)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'Message': '[Error] Amphlett Simulation Failed!(Check Your Inputs)',\n", " 'Status': False}" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Static_Analysis(InputMethod={},TestMode=True,PrintMode=False,ReportMode=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. `TestMode` : Active test mode and get/return data as `dict`, (Default : `False`)\n", "2. `ReportMode` : Generate reports(`.csv`,`.opem`,`.html`) and print result in console, (Default : `True`)\n", "3. `PrintMode` : Control printing in console, (Default : `True`)\n", "4. `Folder` : Reports folder, (Default : `os.getcwd()`)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Notice : \"PrintMode\" & \"ReportMode\" , new in version 0.5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Notice : \"Folder\" , new in version 1.4" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "import sys\n", "!{sys.executable} -m pip -qqq install matplotlib;\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "def plot_func(x,y,x_label,y_label,color='green',legend=[],multi=False):\n", " plt.figure()\n", " plt.grid()\n", " if multi==True:\n", " for index,y_item in enumerate(y):\n", " plt.plot(x,y_item,color=color[index])\n", " else:\n", " plt.plot(x,y,color=color)\n", " plt.xlabel(x_label)\n", " plt.ylabel(y_label)\n", " if len(legend)!=0:\n", " plt.legend(legend)\n", " plt.show()\n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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MIgfi7gzOGUyLoS3YsWcH717zLg9e+KCKgCSsWM5Qlg/c6e4nAy2Am8ysCXAv8I67NwLeia6LxMWOPTvo81offvvGb2lZtyXzbpinG8Qk4cWsacjd1wBroo+3mdli4FigM9AyutvLwEzgnljlENnnq01fccWrV7Bo/SIevvBhHrjgAZ0FiADm7rE/iFld4D3gVOA7dz+y0HNb3P2/mofMrD/QHyA9PT0jKyurRMfOzc0lNTW1RK+Nl7BnDHs+OHTGWRtmMXDJQCpYBR44+QGa12gex3QRYX8fw54PlLG4MjMzc9y92SF3dPeYLkAqkANcHl3fut/zWw71OzIyMryksrOzS/zaeAl7xrDnc//5jHn5eX77tNudh/EWQ1r4d1u/i2+wQsL+PoY9n7syFhcwx4vwPR3Tq4bMrCIwHhjl7hOim9eZWS13X2NmtYD1scwgiWvVj6voMa4HH638iFvPupUnLnpCN4iJHEDMCoFFZuoYCix29ycLPTUZ6AM8Fv05KVYZJHHN+HYGPcf3ZFf+LsZ0HUP3U7oHHUkktGJ51dB5QG+glZnNiy6XECkAbc1sKdA2ui5SKtydJz58gotHXkx6lXQ+/c2nKgIihxDLq4Y+AH5u/r7WsTquJK7tedvpN7kfYxaNoVuTbgzrPIzU5HB02omEme4slnJh9c7VnDvsXBauX8jjbR7n7nPv1jzCIkWkQiBl3vRvpnPDZzdQoUIFpl01jYsaXBR0JJEyJZZ9BCIx5e4M/HAg7Ua1I61SGp/+5lMVAZES0BmBlEnb87bTd3JfXl30Kt1P6c611a/VBDIiJaQzAilzvt3yLecMPYdxX4zj8TaPk3VFFocnHR50LJEyS2cEUqZkL8um69iuuLv6A0RKic4IpMx4cc6LXDTyIo5JPUb9ASKlSIVAQi9/bz63TruVG6bcwEUNLuLjfh+rP0CkFBWraSg6iUxtYCew3N33xiSVSNSWnVvoMa4H07+dzp3n3MnjbR7X0NEipeyQhcDMjgBuAnoCycAGoDKQbmb/AV5w9+yYppSE9NWmr+g4uiPLtixjaKeh9D2zb9CRRMqlopwRjAOGA+e7+9bCT5hZBtDbzOq7+9BYBJTENP2b6XQf150Kh1XgnWve4fwTzg86kki5dchC4O5tD/JcDpG5BkRKhbvz/KfPc/ubt3Ny2slMvnIy9arXCzqWSLlWlKah14APgY+AT909L+apJCHtKdjDrdNu5Z85/6TjiR0ZdfkoqlaqGnQskXKvKE1DQ4Bzgb8Ap5vZl/xfYfjI3dfFMJ8kiB92/UD3cd15+5u3+f25v+fR1o+qU1gkTorSNPQG8AaAmSUBZxKZfP4JoB6gf63yi3z3w3d0eKUDX278kiEdh9DvV/2CjiSSUIp0+aiZ1SRyVnAu0ILIVUMzgI9jF00SQc7qHC4dfSk79uxg2lXTaFO/TdCRRBJOUfoIlgI/EJl7+C3gEXfPjXUwKf8mL5lMz/E9qZlSkxm9Z3DK0acEHUkkIRXlzuJhwPfAFcBvgOvMrFm0mUikRP4x+x90yepCk7QmzL5+toqASICK0kfw132PzexEIs1DvwHON7MN7n5hDPNJOVOwt4DfvfU7nv3kWbo07sLIy0ZSJblK0LFEElqRh5gws/rAWcDZRPoJ0oBvY5RLyqHcvFx6je/F61+9zh0t7mBg24G6MkgkBIrSRzCRyBf/D0Q6hz8EnnX3L2KcTcqRNdvWcOnoS5m3dh7PX/I8Nza/MehIIhJVlDOCl4DfuPvGWIeR8unLjV/SbmQ7Nu7YyOQrJ9PhxA5BRxKRQopSCDYfrAiYWTXgeHdfWHqxpLz4aOVHdBzdkQqHVWDWtbPIqJ0RdCQR2U9RCsEVZjYQeJPIuEL7Rh9tCGQCJwB3xiyhlFmTl0ymx7ge1KlWh7eufov61esHHUlEDqAoVw39LjoPQVegG1CLyHwEi4EX3f2DA73OzIYBlwLr3f3U6LaHiVxxtCG6233uPvWX/iEkfF6c8yI3Tr2RjFoZTOk1hbQqaUFHEpGfUdSrhn4AfnD3a4vxu/8NPEdkCOvCnnL3vxXj90gZ4u48NPMh/vzen7mk0SW82vVVXR4qEnJFmqoyOhPZzcX5xe7+HrC5JKGkbMrfm8/1k6/nz+/9mb5N+zLpykkqAiJlQHHmLJ5uZneZ2XFmVmPfUoJj3mxmC8xsWLTJScqB7Xnb6ZzVmWHzhvHHC/7IkE5DqHBYsWZCFZGAmLsXbUezZQfY7O7+sz2AZlYXeKNQH0E6sBFw4M9ALXc/4PyDZtYf6A+Qnp6ekZWVVaSc+8vNzSU1NbVEr42XsGc8VL6teVv5w8I/8NW2r7it0W10qt0pjukiwv4eQvgzhj0fKGNxZWZm5rh7s0Pu6O4xW4C6wMLiPrf/kpGR4SWVnZ1d4tfGS9gzHizf8i3LvdE/GnnlRyr7a4tfi1+o/YT9PXQPf8aw53NXxuIC5ngRvmOL3DRkZilm9oCZDY6uNzKzS4tTncysVqHVywDde1CGfbHhC84bdh4bdmxgRu8ZdG7cOehIIlICxWnEfYnIfQTnRtdXAWOJTlqzPzMbTWQCm5pmtgp4CGhpZk2JNA0tB35botQSuE++/4T2o9qTnJTMrGtncXr66UFHEpESKk4haODuPcysJ4C77zQz+7md3b3nATYPLW5ACZ8Z386gS1YXjq5yNNN7T6dBjQZBRxKRX6A4Vw3lmdnhRP43j5k1AHbHJJWE1oTFE+jwSgfqVa/HB30/UBEQKQeKUwgeJjLMxHFmNgp4B/h9LEJJOA35bAjdxnYjo1YG7137HrWr1g46koiUgiI3Dbn722aWQ2RIagNuc41ImjAGfjiQe2bcw8UNLmZ89/G6UUykHCnOxDQjgPeA9939y9hFkjBxd1789kWyVmbR45QeDL9sOMlJyUHHEpFSVJymoZeIDDj3rJl9Y2bjzey2GOWSECjYW0D/1/uTtTKLGzJuYNTlo1QERMqh4jQNvWtms4DmRIafvgE4BXgmRtkkQHsK9nDNa9eQtTCLq4+/mhc6vMBBLhITkTKsOE1D7wBViExX+T7Q3N3XxyqYBGd3/m56jOvBpCWTeLzN45y15ywVAZFyrDhNQwuAPOBU4HTg1OjlpFKO7Nizg05ZnZi0ZBLPtX+O35+nC8NEyrviNA39DsDMUoHriPQZHANUik00ibdtu7dx6ehLeX/F+wztNJS+Zx5wPEARKWeK0zR0M3A+kAGsAIYRaSKScmDLzi20G9WOnNU5vHLFK1x56pVBRxKROCnOEBOHA08COe6eH6M8EoD129dz0YiLWLxxMeO7j9fgcSIJpjhNQ0+Y2RnADdGOw/fdfX7MkklcrN62mtbDW7Ni6womXzmZixteHHQkEYmz4gxDfSswCjg6uow0s1tiFUxib8XWFVzw0gWs+nEVb179poqASIIqTtPQ9cDZ7r4dwMweJ3Ip6bOxCCaxtXTTUloPb822vG3M6D2Ds+ucHXQkEQlIcQqBAQWF1gui26SMWbJxCa2GtyKvII/sPtk0PaZp0JFEJEDFnZhmtplNjK53QfMLlDlfbvySVi+3In9vPtl9sjn16FODjiQiAStOZ/GTZjYT+DWRM4Hr3H1urIJJ6Vu8YTGZL2cCMPPamTRJaxJwIhEJg0MWAjOrTGRcoYbA58ALuny07Fm0fhGthrfCMLL7ZHNy2slBRxKRkCjKVUMvA82IFIH2wN9imkhK3cL1C8l8OZMkS2LmtTNVBETk/ylK01ATdz8NwMyGAp/ENpKUpgXrFtB6eGuSk5LJ7pPNiUedGHQkEQmZopwR7Nn3QE1CZcv8tfNp9XIrKiVVYmafmSoCInJARTkjOMPMfow+NuDw6LoB7u7VYpZOSmzumrm0GdGGlIopZPfJpmGNhkFHEpGQOmQhcPekeASR0vPZms9oM7wNqcmpZPfJpkGNBkFHEpEQK859BFIGzFs7jzbD21CtUjWy+2RTr3q9oCOJSMgVZ2IaCbmF6xf+vzMBFQERKYqYFQIzG2Zm681sYaFtNcxsupktjf6sHqvjJ5rFGxbTenhrKlWoxLt93lUREJEii+UZwb+Bdvttuxd4x90bAe9E1+UX+mrTVz/dLPbuNe+qY1hEiiVmhcDd3wM277e5M5Eb1Ij+7BKr4yeKbzZ/Q6uXW1Gwt4B3+7zLSTVPCjqSiJQx8e4sTnf3NQDuvsbMjo7z8cuVFVtX0Gp4K3bm7yS7T7bGDhKREjF3j90vN6sLvOHup0bXt7r7kYWe3+LuB+wnMLP+QH+A9PT0jKysrBJlyM3NJTU1tUSvjZeSZNywewO3zbuNbfnb+Pvpf+fEqrG7Way8vofxFvaMYc8HylhcmZmZOe7e7JA7unvMFqAusLDQ+hKgVvRxLWBJUX5PRkaGl1R2dnaJXxsvxc24+sfV3ugfjbzaX6v5J6s+iU2oQsrjexiEsGcMez53ZSwuYI4X4Ts23pePTgb6RB/3ASbF+fhl3rrcdbQa3oo1uWuYdtU0mh/bPOhIIlLGxfLy0dFEprI8ycxWmVk/4DGgrZktBdpG16WINu/cTNsRbfnuh++Y0msK5x53btCRRKQciFlnsbv3/JmnWsfqmOXZtt3baD+qPUs2LWFKrylccMIFQUcSkXJCQ0yUATv37KRTVidyVucwvvt42tRvE3QkESlHVAhCbk/BHrqN7cas5bMYcdkIOjfuHHQkESlnVAhCrGBvAb0n9mbK0in8s8M/uer0q4KOJCLlkAadCyl354Y3bmDMojEMbDOQ3zb7bdCRRKScUiEIIXfnzrfvZMjcITxw/gPcfd7dQUcSkXJMhSCEBswawFP/eYpbzrqFAZkDgo4jIuWcCkHIPPXxUzw862GubXotT7d7GjMLOpKIlHMqBCEy9LOh3PH2HXRt0pV/dfwXh5k+HhGJPX3ThMTExRPp/0Z/Lm5wMaMuH0WFw3RBl4jEhwpBCMzbOo+e43vSvHZzxncfT3JSctCRRCSBqBAEbN7aeTyw8AHqV6/PlF5TqJJcJehIIpJgVAgC9O2Wb2k3sh0pFVJ46+q3OCrlqKAjiUgCUkN0QNblruOiERexZ+8e/n7a3znuiOOCjiQiCUqFIAA/7v6R9qPasyZ3De9c8w67vt4VdCQRSWBqGoqzXfm76JLVhc/Xf864buNoUadF0JFEJMHpjCCOCvYWcNWEq8hens2Iy0bQvlH7oCOJiOiMIF7cnZum3sSExRN48qInufr0q4OOJCICqBDEzSPvPcKLOS9yz3n38Ltzfhd0HBGRn6gQxMHL817mwZkP0vv03vy19V+DjiMi8v+oEMTY9G+mc/3r19O6XmuGdBqiQeREJHRUCGJo/tr5XPHqFZxc82QNHSEioaVCECMrf1jJJa9cQrVK1Zh61VSOqHxE0JFERA5Il4/GwNZdW7nklUvIzcvl/evep061OkFHEhH5WSoEpSyvII8rXr2CLzd+yZtXvcnp6acHHUlE5KBUCEqRu3P95Ot5d9m7DO8ynNb1WwcdSUTkkAIpBGa2HNgGFAD57t4siByl7Y/Zf2TEghE8kvkIvc/oHXQcEZEiCfKMINPdNwZ4/FI19LOh/OX9v/CbX/2G+86/L+g4IiJFpquGSkH2smxumHIDFze4mBc6vKB7BUSkTDF3j/9BzZYBWwAHXnT3wQfYpz/QHyA9PT0jKyurRMfKzc0lNTX1F6Q9uJU7VnLT3JuokVyD5858jtQKxT9WrDP+UmHPB8pYGsKeD5SxuDIzM3OK1PTu7nFfgNrRn0cD84ELDrZ/RkaGl1R2dnaJX3soG7dv9Ib/aOhpA9P8283flvj3xDJjaQh7PndlLA1hz+eujMUFzPEifCcH0jTk7qujP9cDE4GzgsjxS+y7THTlDyt57crXqFe9XtCRRERKJO6FwMyqmFnVfY+Bi4CF8c7xS7g7//PG/zBrxSyGdR7GucedG3QkEZESC+KqoXRgYrRDtQLwiru/GUCOEnvioycYNm8YD17wIL1O6xV0HBGRXyTuhcDdvwXOiPdxS8vExRO5d8a9XHnqlTzc8uGg44iI/GK6fLQYPlvzGVdPvJqz65zNsE7DdJmoiJQLKgRFtDZ3LZ2zOlMzpSav9XiNwyseHnQkEZE8KJW/AAAJA0lEQVRSobGGimB3/m6uePUKNu/czId9PyQ9NT3oSCIipUaF4BDcnVum3cJHKz/i1a6v0vSYpkFHEhEpVWoaOoR/zvkn//rsX9x//v10O6Vb0HFEREqdCsFBzFo+i1vfvJWOJ3ZkQOaAoOOIiMSECsHPWLF1BV3HdqVhjYaMvHwkh5neKhEpn/TtdgDb87bTZUwX9hTsYdKVk6hWqVrQkUREYkadxftxd/pN7seCdQuY0msKJx51YtCRRERiSoVgP09+/CRjFo3h8TaP065hu6DjiIjEnJqGCnlvxXvcM+Meujbpyt3n3h10HBGRuFAhiFqzbQ3dx3anYY2GDO00VMNHiEjCUNMQsKdgD93HdWdb3jbeueYddQ6LSEJRIQDumXEPH3z3Aa9c/gqnHH1K0HFEROIq4ZuGxi4ay1P/eYpbzrqFnqf1DDqOiEjcJXQh+HLjl/Sd3Jdz6pzD3y76W9BxREQCkbCFYOeenfQY14PKFSrzardXSU5KDjqSiEggEraP4K6372LBugVM7TWVOtXqBB1HRCQwCXlGMGHxBF6Y8wJ3nXMX7Ru1DzqOiEigEq4QrNi6gn6T+9G8dnP+0vovQccREQlcQhWCPQV76Dm+J3t9L1lds9QvICJCgvURDJg1gI9XfUzWFVnUr14/6DgiIqGQMGcEs1fN5tEPHqXPGX3ocWqPoOOIiIRGQhSCHXt2cM1r11CnWh2eafdM0HFEREIlkEJgZu3MbImZfW1m98b6eH+Y8Qe+2vQVL3V+iSMqHxHrw4mIlClxLwRmlgQ8D7QHmgA9zaxJrI43b+s8/vHJP7jlrFtoVa9VrA4jIlJmBXFGcBbwtbt/6+55QBbQORYHyivI4+mlT1P3yLo81uaxWBxCRKTMC+KqoWOBlYXWVwFnx+JAT//naVbsWMHrnV8npWJKLA4hIlLmBVEIDjTji//XTmb9gf4A6enpzJw5s9gH2rJ2C22OakPq6lRmri7+6+MlNze3RH++eAl7PlDG0hD2fKCMMePucV2Ac4C3Cq3/AfjDwV6TkZHhJZWdnV3i18ZL2DOGPZ+7MpaGsOdzV8biAuZ4Eb6Xg+gj+BRoZGb1zCwZuBKYHEAOEREhgKYhd883s5uBt4AkYJi7L4p3DhERiQhkiAl3nwpMDeLYIiLy/yXEncUiIvLzVAhERBKcCoGISIJTIRARSXAqBCIiCc4i9xyEm5ltAFaU8OU1gY2lGCcWwp4x7PlAGUtD2POBMhbXCe6edqidykQh+CXMbI67Nws6x8GEPWPY84Eyloaw5wNljBU1DYmIJDgVAhGRBJcIhWBw0AGKIOwZw54PlLE0hD0fKGNMlPs+AhERObhEOCMQEZGDKNeFwMzamdkSM/vazO4NOg+AmQ0zs/VmtrDQthpmNt3MlkZ/Vg8w33Fmlm1mi81skZndFsKMlc3sEzObH834p+j2emY2O5pxTHSY88CYWZKZzTWzN0Kab7mZfW5m88xsTnRbmD7nI81snJl9Gf37eE7I8p0Ufe/2LT+a2e1hylhU5bYQmFkS8DzQHmgC9DSzJsGmAuDfQLv9tt0LvOPujYB3outByQfudPeTgRbATdH3LUwZdwOt3P0MoCnQzsxaAI8DT0UzbgH6BZgR4DZgcaH1sOUDyHT3poUudwzT5/wM8Ka7NwbOIPJehiafuy+JvndNgQxgBzAxTBmLrCiz15TFhRLMhBbHbHWBhYXWlwC1oo9rAUuCzlgo2ySgbVgzAinAZ0Tmvd4IVDjQ5x9ArjpEvgRaAW8QmaI1NPmiGZYDNffbForPGagGLCPajxm2fAfIexHwYZgzHmwpt2cEwLHAykLrq6Lbwijd3dcARH8eHXAeAMysLnAmMJuQZYw2u8wD1gPTgW+Are6eH90l6M/7aeD3wN7o+lGEKx9E5gp/28xyonOEQ3g+5/rABuClaPPaEDOrEqJ8+7sSGB19HNaMP6s8FwI7wDZdIlVEZpYKjAdud/cfg86zP3cv8MgpeR3gLODkA+0W31QRZnYpsN7dcwpvPsCuQf99PM/df0Wk+fQmM7sg4DyFVQB+BQxy9zOB7YS0iSXa19MJGBt0lpIqz4VgFXBcofU6wOqAshzKOjOrBRD9uT7IMGZWkUgRGOXuE6KbQ5VxH3ffCswk0p9xpJntm3UvyM/7PKCTmS0Hsog0Dz1NePIB4O6roz/XE2nbPovwfM6rgFXuPju6Po5IYQhLvsLaA5+5+7roehgzHlR5LgSfAo2iV2okEzl1mxxwpp8zGegTfdyHSLt8IMzMgKHAYnd/stBTYcqYZmZHRh8fDrQh0pGYDXSN7hZYRnf/g7vXcfe6RP7evevuV4UlH4CZVTGzqvseE2njXkhIPmd3XwusNLOToptaA18Qknz76cn/NQtBODMeXNCdFDHuwLkE+IpI+/H9QeeJZhoNrAH2EPlfTz8i7cfvAEujP2sEmO/XRJosFgDzosslIct4OjA3mnEh8GB0e33gE+BrIqfplULwebcE3ghbvmiW+dFl0b5/HyH7nJsCc6Kf82tA9TDli2ZMATYBRxTaFqqMRVl0Z7GISIIrz01DIiJSBCoEIiIJToVARCTBqRCIiCQ4FQIRkQSnQiAikuBUCEQOwcxyCz2utW9Y6ULbnjGz783ssELbLt03PLZI2KkQiBTPHcC/9q1Ev/wvIzLAYeGxeqYQGWYiJb7xRIpPhUCkeK4A3iy0nknk7uZBRIYaAMAjd2rOBC6NZziRklAhECkiM6sHbHH33YU27xtnZiJwaXTAvn3mAOfHMaJIiagQiBRdLSJj5AM/DT98CfCaR4bqnk1k8LZ91gO145pQpAQqHHoXEYnaCVQutN4OOAL4PDJoKylEpiucEn2+cvQ1IqGmQiBSdF8RmWZ0n57A9e4+Gn4aznmZmaW4+w7gRCL9ByKhpqYhkSJy9+3AN2bWMHo10MX83//+9z3/AdAxuimz8PMiYaVhqEWKwcwuAzLc/YFD7JcOvOLureOTTKTk1DQkUgzuPtHMjirCrscDd8Y6j0hp0BmBiEiCUx+BiEiCUyEQEUlwKgQiIglOhUBEJMGpEIiIJLj/BTGXTuZZbhBHAAAAAElFTkSuQmCC\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_func(data[\"I\"],[data[\"V\"],data[\"VE\"]],\"I(A)\",\"V(V)\",[\"red\",\"blue\"],legend=[\"Voltage-Stack\",\"Linear-Apx\"],multi=True)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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cqSTT0ikEvQmTyCZHM9ZEpA4bNgzOOw9WrYInnoBzztGy0XVVOk1Ds4ApKgIidduKFXDxxdClC7RqBZ98AueeqyJQl6VzRbAAGG1mrwOryg9q+KhI3TFlCpx2Wrjv2RNuuw222CLuVJJt6RSCL6Pb5tFNROqIdevg5Zd34LHHYJtt4I034Kij4k4luZJSIYgmkzVy96uznEdEcmz+/ND0M2pUa445BgYODJvKS/5IqY/A3dcCv8lyFhHJsRdegL33hjFj4IorZjBihIpAPkqnaWiSmQ0HXgCWlx/06vcsFpGE+fHHsHn8M89A+/ZhyYhvvlmA2W5xR5MYpFMImgA/EPYcLlflnsUikjzvvANnnx2ahP72N/jzn8Nicd98E3cyiUs6q49uzN7FIhKzVavghhugd2/YZRcYOzZcDYikPI/AzHY1sxIzmxI938fMbsheNBHJlMmTw4f+PffA+efDxIkqAvIf6UwoewzoRVheAnf/jLAFpYgk1Lp10KcPtGsH330HI0bAI49Aw4ZxJ5MkSaePoIG7f2T/Pb1wTYbziEiGfPllWCJi9OgwS7h/f2jWLO5UkkTpXBEsMrNfEzqIMbOTCLONRSRB3MPicHvvHZaHeOIJePllFQHZsHSuCC4G+gO7m9l8wizjM7OSSkRqZO5c6N4d3noLjjgCHn8cdtwx7lSSdOmMGvoCONzMGgKbuPu/shdLRNLhHmYEX3FF2D+gXz/o0UMLxUlq0tmzeAvgj0R7Fpf3Fbj7zVlJJiIpmT8/fOi/9hp06BCagnbaKe5UUpuk00cwDDie0EG8vMKtUmZW38w+MrNPzeyfZnZTdHwnMxtnZrPM7Hkz0wJ2IjXgHmYE77VX2DjmgQegpERFQNKX7p7FR6dx/irgMHcvM7PNgPejJayvBO5192Iz6wd0Bx5J4/uK5L3vvgvzAYYNg0MOgSefDJPERGoinSuCsWa2d6one1AWPd0sujlhiYoXo+ODgC5pZBDJa+7w/POw555hqejevcOSESoCsjGsug3HzGwy4QN8U6A18AXhr/3yPYv3qeK19YAJwC7AQ8DdwIfuvkv09ZbA6+6+VyWv7QH0ACgoKCgsLi5O+z8OoKysjEaNGtXotbmS9IxJzwf5kXHRos25//7WvP9+M3bffRm9ek1nxx1/Sky+XEh6xqTlKyoqmuDu7ao90d2rvBE+/H+1oVt1r4++R2OgFDgUmF3heEvCHshVvr6wsNBrqrS0tMavzZWkZ0x6Pve6nXHdOvcBA9y32ca9fn33u+5yX706s9nc6/bPMFeSlg8Y7yl8RqfSR/C8u2/UXgTuvtTMRgMHAo3NbFN3XwO0ALTmocgGzJkTRgSNGgWHHhrmBey6a9yppK5JpY+gRiORzayZmTWOHm8JHA5MI1wZnBSd1o0wGklEKli3LowC2msv+OADePjhsFSEioBkQypXBM3M7MoNfdE3vHl9c2BQ1E+wCTDE3UeY2VSg2MxuBSYCA9INLVKXTZ8eZgePHQtHHw2PPqrZwZJdqRSCekAj0rwy8LA6adtKjn8BaAFckfWsXh2Wib7pprA66FNPwZlnanawZF8qhWCBa/awSFZNnBiuAiZOhJNOggcfhIKCuFNJvshaH4GIVG/FirBV5P77w4IF8NJLYUN5FQHJpVQKQcf1D0Rj/EVkI5SUwD77wO23w1lnwdSpcOKJcaeSfFRtIXD3xZUcviALWUTywqJF0K0bHH54eF5SElYO3XbbeHNJ/kpniYmK1FwkkiZ3GDQIdt8dnnsuNAl99hkcdljcySTfpbTonJltApzk7kOiQ3/IXiSRumfWLOjZc18mToSDDw7bRu65Z9ypRIKUrgjcfR1wSYXn87KWSKQO+flnuPXWsG3kzJlb0a8fvPeeioAkSzrLUI8ys6uA56mwD8EG+hBE8t6YMWF5iKlToWtX6Nr1I/74x4PjjiXyP9LpIziPsG/xu4QVRScA47MRSqQ2W7oULrgAfvtbKCuDESPC0tHbbfdz3NFEKpXOnsXa90ikCu4weDD07AkLF8KVV4ZZwglalVikUilfEZhZAzO7wcz6R89bm1nn7EUTqT2mTYOOHeGMM6BlS/j447BpjIqA1AbpNA0NBH4Gyhs55wG3ZjyRSC2yfDn06gX77guTJkG/fmG10N9s1MLtIrmVTiH4tbvfBawGcPcVaD6B5Cl3eOUV2GMPuPPOsDjcjBlhH+F69eJOJ5KedEYN/RztK+AAZvZrwpaVInnliy/g//4PXn01DAt9773QMSxSW6VzRfA34A2gpZk9C5QA12QjlEgSrVoFt9wS5gC88w706QMTJqgISO2XzqihN81sAmG7SQMuc/dFWUsmkiBvvgmXXBJmCHftGorADjvEnUokM9IZNfQ0cCLwubuPUBGQfDBvXvjgP+qo8PzNN8OcABUBqUvSHTXUHOhrZp+b2UtmdlmWconEatUquOOOsEDcP/4RmoQmT4Yjjog7mUjmpdM09LaZvQPsDxQRlqLeE7g/S9lEcs49zAS+4gr4/POwP8A998BOmk4pdVjKhcDMSoCGwAfAe8D+7r4wW8FEcm3GDLj8cnjjDWjTJjQD6QpA8kE6TUOfESaU7QXsA+wVDScVqdWWLYNrrglDQceOhXvvhU8/VRGQ/JFyIXD3K9z9d8AJwA+EPoOlGzrfzFqaWamZTTOzf5b3J5hZEzMbZWazonvtyySxWLcOnnoKdtsN7r47bBc5c2a4Kthss7jTieROOqOGLjGz54FJQBfgCaBTFS9ZA/R09zaEIacXm9kewHVAibu3JsxFuK6m4UVqavz4MP6/WzfYcUcYNw4GDNCm8ZKf0plZvCXQB5jg7muqO9ndFwALosf/MrNpwA7A8UCH6LRBwGjg2jRyiNTYwoVhi8gBA6BZs7BX8NlnwyY13bRVpA5Ip2nobmAlcEF0dbBvqq81s1ZAW2AcUBAVifJisX06gUVq4uefwySwXXeFJ58Mo4JmzoRzzlEREDF3T+1Es/8DegAvR4dOAPq7e99qXtcIeAe4zd1fNrOl7t64wteXuPv/9BOYWY/o/SgoKCgsLi5OKef6ysrKaJTwtYCTnjHp+WDDGd1hzJim9Ou3M/PnN2D//Rdz8cWz+dWvfkpMxqRIej5Ifsak5SsqKprg7u2qPdHdU7oRRg01rPC8IfBZNa/ZDBgJXFnh2AygefS4OTCjuvcuLCz0miotLa3xa3Ml6RmTns+98owTJ7p36OAO7m3auL/+eu5zVZT0n2PS87knP2PS8gHjPYXP93Quig1YW+H5WqpYhtrMDBgATHP3PhW+NBzoFj3uBgxLI4NItRYsgO7dw54AkyfDgw/CZ5/B0UfHnUwkmdLpLB4IjDOzodHzLoQP+g05BDgLmGxmk6Jj1wN3AkPMrDswFzg5vcgilVuxIvQD3HFH6BO44gq44QbYVgOURaqUzhITfcxsNPBbwpXAue4+sYrz32fDVwwd0wkpUhV3KCnZnm7dYO5c6NIF7roLWreOO5lI7VBtITCz+oR1hXYBJgMPewrDR0Vy4cMPw1/+H364B/vtF0YEFRXFnUqkdkmlj2AQ0I5QBDoB92Q1kUgKvvwSTj8dDjooPL7qqumMH68iIFITqRSCPdz9THd/FDgJ+F2WM4ls0OLF0LNnWB566FC4/vqwWcyxx36rvYJFaiiVPoLV5Q/cfU0YDCSSWytXQt++cPvt8OOPcO65cNNN0KJF3MlEar9UCsG+ZrYsemzAltFzA9zdt85aOsl769bBc8+FZSHmzoVjjoE77wwrhYpIZlRbCNxdF9wSi7fegquvhkmTwpyAgQPhsMPiTiVS92iVFUmcTz8Nk7+OOAKWLg1XBB9/rCIgki0qBJIYX38dFoFr2xY++ihMDps+HU47TQvDiWRTOjOLRbJi8WL4+9/h/mj366uvhuuu04xgkVxRIZDYlJWFD/+77w7bRZ55Jtx6a9goRkRyR4VAcm7VKujfP3zoL1wIxx0XHmskkEg8VAgkZ9auhWeegRtvhK++gg4d4JVXwuxgEYmPuuAk69zDLOB99gmdwU2bwsiR8PbbKgIiSaBCIFlVUgIHHggnnhiuCF54IQwFPfJI0CR1kWRQIZCs+OgjOPzwcFuwIGwWP2UKnHSSCoBI0qgQSEZNmhT2AzjggDAx7N57wybx550Hm6pHSiSRVAgkI8r/2m/bFkaPhptvhi++gMsvh/r1404nIlXR32iyUaZNC6uADhkCjRrBX/8aNopp3DjuZCKSKhUCqZEZM8Jf/YMHQ4MG0KtX2CegSZO4k4lIulQIJC2ffx4KwDPPhCafq68Ot6ZN404mIjWlQiApmTMnzP598knYbLPQ9n/NNVBQEHcyEdlYKgRSpTlzoHfvXXnjDahXDy65BK69Fpo3jzuZiGRK1kYNmdkTZrbQzKZUONbEzEaZ2azoXutLJtTs2WHIZ+vWMHLkL+jRIzQL3XefioBIXZPN4aNPAkevd+w6oMTdWwMl0XNJkGnTwiqgu+0WOoIvugiefXYcDz0EO+wQdzoRyYasFQJ3fxdYvN7h44FB0eNBQJdsvb+k57PPoGtX2HPPsC7QlVfCl1+GZaKbNVsVdzwRySJz9+x9c7NWwAh33yt6vtTdG1f4+hJ3r7R5yMx6AD0ACgoKCouLi2uUoaysjEaNGtXotbkSZ8YZMxrx9NOtGDOmKQ0arOGEE+Zz8snz2Gab1YnIlypl3HhJzwfJz5i0fEVFRRPcvV21J7p71m5AK2BKhedL1/v6klS+T2FhoddUaWlpjV+bK3FkHDvWvVMnd3Bv3Nj9b39zX7y48nP1M8yMpGdMej735GdMWj5gvKfwGZvrUUPfmVlzd19gZs2BhTl+/7zmDu+8A7fdBm+9Fcb+3347XHwxbL113OlEJC65XmtoONAtetwNGJbj989L69b9ZwOYoiKYPBnuuScMDe3VS0VAJN9l7YrAzAYDHYCmZjYPuBG4ExhiZt2BucDJ2Xp/gZ9/hmefhbvugunTYeed4ZFHoFs32HLLuNOJSFJkrRC4+2kb+FLHbL2nBGVl8Nhj0KcPzJsH++4bhoKedJKWghaR/6WPhTpk0SLo2zfcliwJewI/9hgcdZQ2gxGRDVMhqAO++gp694bHH4cVK8LGMNdeG7aIFBGpjgpBLTZxYmj+GTw4/MV/5plhJdA99og7mYjUJioEtcy6dfD66+EKoLQUGjYMC8H17AktW8adTkRqIxWCWmLFCnj66bAH8PTpYd2fu+6C//f/tBuYiGwcFYKEW7gQHnoIHn44dAa3bRs2henaNewLICKysVQIEmrq1ND+/8wzsGoV/OEPYSG43/9eI4BEJLNUCBJk3Tp480144IHQD1C/PpxzTtgMfrfd4k4nInWVCkECLF9ej7594cEHYebMsP3jzTfDhRdqL2ARyT4VghjNmBE+/AcMOIgVK+CAA0JT0Mknw+abx51ORPKFCkGOlQ//7NsXRo4MHb4dOizi1lt/Qfv2cacTkXykQpAjP/4IAweGEUCzZ4d9f2++GXr0gGnTptO+/S/ijigieUqFIIvcYfx46NcPiovhp5/g4IPhllvgxBP/0/wzbVq8OUUkv6kQZMG//hWWfejXLywD0aABnH46XHABFBbGnU5E5L+pEGTQpEnw6KOhw7esDPbeOzQFnXEGbLNN3OlERCqnQrCRli+HIUPCX/8ffRTG/p9yCpx/flj9U5O/RCTpVAhqwB3Gjg2dv0OGhKagNm3gvvvg7LNh223jTigikjoVgjTMnw9PPQVPPhkmfjVsGMb8n3suHHqo/voXkdpJhaAaK1fCsGHhr/9Ro8I8gEMPheuuC0WgUaO4E4qIbBwVgkqsXQvvvgvPPQcvvghLl0KLFtCrV1j7Z5dd4k4oIpI5KgSR8jH/gweHMf8LFoSmny5dQrt/x45Qr17cKUVEMi+WQmBmRwP3A/WAx939zjhyuIdx/kOHhg//2bPDJK9OncK4/86dwxwAEZG6LOeFwMzqAQ8BRwDzgI/NbLi7T83F+69ZA++/Hz78X3kF5s6FTTaBDh1Cu/+JJ2rUj4jklziuCNoDs939CwAzKwaOB7JSCNzh88+hpATeeivcL14MW2wBRx4JN94YNn1p1iwb7y41v2fvAAAGkElEQVQiknxxFIIdgK8rPJ8HHJCNN7rgAhg8+BCWLYveeIfQ3HPccXDUURrxIyICYO6e2zc0Oxk4yt3/FD0/C2jv7peud14PoAdAQUFBYXFxcdrv9eyzO/L11/Vo02YVbdsuoWXLFYkc619WVkajBFelpOcDZcyEpOeD5GdMWr6ioqIJ7t6u2hPdPac34CBgZIXnvYBeVb2msLDQa6q0tLTGr82VpGdMej53ZcyEpOdzT37GpOUDxnsKn8ubZLMabcDHQGsz28nMNgdOBYbHkENERIihj8Dd15jZJcBIwvDRJ9z9n7nOISIiQSzzCNz9NeC1ON5bRET+WxxNQyIikiAqBCIieU6FQEQkz6kQiIjkORUCEZE8l/OZxTVhZt8DX9Xw5U2BRRmMkw1Jz5j0fKCMmZD0fJD8jEnL9yt3r3YltVpRCDaGmY33VKZYxyjpGZOeD5QxE5KeD5KfMen5NkRNQyIieU6FQEQkz+VDIegfd4AUJD1j0vOBMmZC0vNB8jMmPV+l6nwfgYiIVC0frghERKQKdboQmNnRZjbDzGab2XUJyPOEmS00sykVjjUxs1FmNiu6j3XHZDNraWalZjbNzP5pZpclKaeZ1Tezj8zs0yjfTdHxncxsXJTv+WiJ81iZWT0zm2hmI5KY0czmmNlkM5tkZuOjY4n4PUdZGpvZi2Y2Pfr3eFDC8u0W/ezKb8vM7PIkZUxVnS0EZlYPeAjoBOwBnGZme8SbiieBo9c7dh1Q4u6tgZLoeZzWAD3dvQ1wIHBx9HNLSs5VwGHuvi+wH3C0mR0I/B24N8q3BOgeU76KLgOmVXiexIxF7r5fhSGPSfk9A9wPvOHuuwP7En6Wicnn7jOin91+QCHwEzA0SRlTlsruNbXxRg12QstRrlbAlArPZwDNo8fNgRlxZ1wv7zDgiCTmBBoAnxD2vF4EbFrZ7z6mbC0IHwKHASMAS2DGOUDT9Y4l4vcMbA18SdSPmbR8leQ9EhiT5IxV3ersFQGwA/B1hefzomNJU+DuCwCi++1jzvNvZtYKaAuMI0E5oyaXScBCYBTwObDU3ddEpyThd30fcA2wLnq+HcnL6MCbZjYh2iMckvN73hn4HhgYNa89bmYNE5RvfacCg6PHSc24QXW5EFS2Tb2GSKXIzBoBLwGXu/uyuPNU5O5rPVyOtwDaA20qOy23qf7DzDoDC919QsXDlZwa97/HQ9z9N4Tm04vN7Hcx56loU+A3wCPu3hZYTkKbWKK+nuOAF+LOUlN1uRDMA1pWeN4C+CamLFX5zsyaA0T3C2POg5ltRigCz7r7y9HhxOV096XAaEJfRmMzK99xL+7f9SHAcWY2BygmNA/dR7Iy4u7fRPcLCW3b7UnO73keMM/dx0XPXyQUhqTkq6gT8Im7fxc9T2LGKtXlQvAx0DoaqbE54dJteMyZKjMc6BY97kZok4+NmRkwAJjm7n0qfCkROc2smZk1jh5vCRxO6EQsBU6KOx+Au/dy9xbu3orw7+5tdz+DBGU0s4ZmtlX5Y0Ib9xQS8nt292+Br81st+hQR2AqCcm3ntP4T7MQJDNj1eLupMhyB84xwExCG/KfE5BnMLAAWE34i6c7oe24BJgV3TeJOeNvCU0WnwGTotsxSckJ7ANMjPJNAf4aHd8Z+AiYTbhE3yLu33eUqwMwImkZoyyfRrd/lv//kZTfc5RlP2B89Lt+Bdg2SfmijA2AH4BtKhxLVMZUbppZLCKS5+py05CIiKRAhUBEJM+pEIiI5DkVAhGRPKdCICKS51QIRETynAqBSBXMrKzC4+blS0pXOHa/mc03s00qHOtcvjy2SG2gQiCSuiuBx8qfRB/+JxAWN6y4Ts+rhCUmGuQ2nkjNqBCIpO6PwBsVnhcRZjc/QlhmAAAPszRHA51zGU6kplQIRFJgZjsBS9x9VYXD5WvMDAU6R4v1lRsPHJrDiCI1pkIgkprmhPXxgX8vPXwM8IqHZbrHERZuK7cQ+GVOE4rU0KbVnyIiwAqgfoXnRwPbAJPDgq00IGxV+Gr09frRa0QST4VAJDUzCduMljsN+JO7D4Z/L+X8pZk1cPefgF0J/QciiaemIZEUuPty4HMz2yUaDXQU//nrv/zr7wN/iA4VVfy6SJJpGWqRFJnZCUChu99QzXkFwHPu3jE3yUQ2jpqGRFLk7kPNbLsUTt0R6JntPCKZoisCEZE8pz4CEZE8p0IgIpLnVAhERPKcCoGISJ5TIRARyXP/H8+nrRexsSl+AAAAAElFTkSuQmCC\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_func(data[\"I\"],[data[\"Eta_Active\"],data[\"Eta_Conc\"],data[\"Eta_Ohmic\"]],\"I(A)\",\"V(V)\",[\"red\",\"blue\",\"orange\"],\n", " legend=[\"Eta_Active\",\"Eta_Conc\",\"Eta_Ohmic\"],multi=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "HTML File" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "OPEM File" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "CSV File" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Inputs, Constants & Middle Values\n", "1. User : User input\n", "2. System : Simulator calculation (middle value)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
$$Parameter$$$$Description$$$$Unit$$$$Value$$
$$P_{H2}$$Partial pressure$$atm$$$$User$$
$$P_{O2}$$Partial pressure$$atm$$$$User$$
$$T$$Cell operation temperature$$K$$$$User$$
$$l$$Membrane thickness$$cm$$$$User$$
$$A$$Active area$$cm^2$$$$User$$
$$\\lambda$$An adjustable parameter with a possible minimum value of 14 and a maximum value of 23$$--$$$$User$$
$$J_{Max}$$Maximum current density of the cell$$Acm^{-2}$$$$User$$
$$N$$Number of single cells$$--$$$$User$$
$$R_{electronic}$$R-Electronic$$\\Omega$$$$User$$
$$i_{start}$$Cell operating current start point$$A$$$$User$$
$$i_{step}$$Cell operating current step$$A$$$$User$$
$$i_{stop}$$Cell operating current end point$$A$$$$User$$
$$B$$Constant in the mass transfer term$$V$$$$System$$
$$\\rho$$Membrane specific resistivity$$\\Omega cm$$$$System$$
$$J$$Actual current density of the cell $$Acm^{-2}$$$$System$$
$$C_{O_2}$$Concentration of oxygen in the catalytic interface of the cathode$$molcm^{-3}$$$$System$$
$$C_{H_2}$$Concentration of hydrogen in the catalytic interface of the anode$$molcm^{-3}$$$$System$$
$$R_{Proton}$$Resistance to proton flow$$\\Omega$$$$System$$
$$\\xi_2$$Parametric coefficients for cell model$$--$$$$System$$
$$\\xi_1$$Parametric coefficients for cell model$$--$$$$-0.948$$
$$\\xi_3$$Parametric coefficients for cell model$$--$$$$7.6\\times10^{-5}$$
$$\\xi_4$$Parametric coefficients for cell model$$--$$$$-1.93\\times10^{-4}$$
$$R$$Universal gas constant$$J.kmol^{-1}.K^{-1}$$$$8314.47$$
$$F$$Faraday’s constant$$C.kmol^{-1}$$$$96484600$$
$$n$$Number of moles of electrons transferred in the balanced equation occurring in the fuel cell$$--$$$$2$$
$$\\mu_F$$The fuel utilization$$--$$$$0.95$$
$$HHV$$Higher heating value potential$$V$$$$1.482$$
$$E_{th}$$Theoretical potential$$V$$$$1.23$$
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reference\n", "
\n", "1-J. C. Amphlett, R. M. Baumert, R. F. Mann, B. A. Peppley, and P. R. Roberge. 1995. \"Performance Modeling of the Ballard Mark IV Solid Polymer Electrolyte Fuel Cell.\" J. Electrochem. Soc. (The Electrochemical Society, Inc.) 142 (1): 9-15. doi: 10.1149/1.2043959.\n", "
\n", "
\n", "2-Jeferson M. Correa, Felix A. Farret, Vladimir A. Popov, Marcelo G. Simoes. 2005. \"Sensitivity Analysis of the Modeling Parameters Used in Simulation of Proton Exchange Membrane Fuel Cells.\" IEEE Transactions on Energy Conversion (IEEE) 20 (1): 211-218. doi:10.1109/TEC.2004.842382.\n", "
\n", "
\n", "3-Larminie, J., Dicks, A., & McDonald, M. S. 2003. Fuel cell systems explained (Vol. 2, pp. 207-225). Chichester, UK: J. Wiley. doi: 10.1002/9781118706992.\n", "
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