Chamberline-KimStatic Model

Version 1.0

Overview

Chamberlin-Kim static model is an empirical equation which was developed to fit the experimental cell potential (E) vs. current density (J) data for proton exchange membrane fuel cells (PEMFCs), at several temperatures, pressures, and oxygen compositions in the cathode gas mixture. The exponential term compensates for the mass-transport regions of the V vs. i plot; i.e., the increase in slope of the pseudolinear region and the subsequent rapid fall-off of the cell potential with increasing current density. The terms E0 and b yield the electrode kinetic parameters for oxygen reduction in the PEMFC and R represents the resistance, predominantly ohmic and, to a small extent, the charge transfer resistance of the electro-oxidation of hydrogen. The exponential term characterizes the mass-transport region of the V vs. i plot. The parameter n has more pronounced effects than the parameter m in this region. In Chamberline Kim’s model, the values of the parameters(five parameters: E0, b, R, m, n) vary depending on many variables, including the composition of the Membrane Electrode Assemblies(MEA), the fuel and oxidant used, besides the local temperature, pressure, and humidity of the MEA. They also depend on the stack itself, so that it can not be transposed to another fuel cell without new parameter identification.

Fig1. Graphical Abstract of Static Models

VCell

$$V_{cell}=E_0-b\times ln(J)-(R\times J)-m\times exp(nJ)$$

$$J=\frac{i}{A}$$

In [1]:
from opem.Static.Chamberline_Kim import Vcell_Calc
Vcell=Vcell_Calc(E0=0.982,b=0.0689,R=0.328,m=0.000125,n=9.45,i=1,A=50.0)
Vcell
Out[1]:
1.244827379954939
  • Notice : from opem.Chamberline_Kim in version (0.3>)

VStack

$$V_{Stack}=N\times V_{cell}$$

In [2]:
from opem.Static.Chamberline_Kim import VStack_Calc
VStack=VStack_Calc(Vcell=Vcell,N=1)
VStack
Out[2]:
1.244827379954939

Power of PEMFC

$$P=V_{cell}\times i$$

$$P_{Stack}=N\times P$$

$$P_{Thermal}=i\times(N \times E_{th}-V_{Stack})$$

$$E_{th}=\frac{-\Delta H}{nF}=1.23V$$

In [3]:
from opem.Static.Chamberline_Kim import Power_Calc,PowerStack_Calc,Power_Thermal_Calc
Power=Power_Calc(Vcell=Vcell,i=2)
Power
Out[3]:
2.489654759909878
In [4]:
PowerStack_Calc(Power=Power,N=2)
Out[4]:
4.979309519819756
In [5]:
Power_Thermal_Calc(VStack=VStack,N=2,i=2)
Out[5]:
2.430345240090122

Efficiency of PEMFC

$$\eta=\frac{\mu_F\times V_{cell}}{HHV}$$

In [6]:
from opem.Static.Chamberline_Kim import Efficiency_Calc
Efficiency_Calc(Vcell=Vcell)
Out[6]:
0.797966269201884

Linear Approximation

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: $$V_{cell}=V_0-kI$$ where V0 is the intercept (actual open circuit voltage is always higher) and k is the slope of the curve.

$$Parameter$$ $$Description$$ $$Unit$$
$$V_0$$ 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 $$V$$
  • Notice : These parameters are only available in HTML report

Overall Parameters

$$Parameter$$ $$Description$$ $$Unit$$
$$\eta|P_{Max}$$ 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 $$V$$
  • Notice : P(Thermal) & P(Elec) calculated by Simpson's Rule

  • Notice : These parameters are only available in HTML report

Full Run

  • Run from i=1 to i=42.5 with step=0.1
In [7]:
Test_Vector = {
    "A": 50.0,
    "E0": 0.982,
    "b": 0.0689,
    "R": 0.328,
    "m": 0.000125,
    "n": 9.45,
    "N": 1,
    "i-start": 1,
    "i-stop": 42.5,
    "i-step": 0.1,
    "Name": "Chamberline_Test"}
  • Notice : "Name", new in version 0.5
In [8]:
from opem.Static.Chamberline_Kim import Static_Analysis
data=Static_Analysis(InputMethod=Test_Vector,TestMode=True,PrintMode=True,ReportMode=True)
###########
Chamberline-Kim-Model Simulation
###########
Analyzing . . .
I : 1
PEM Efficiency : 0.797966269201884 
Power : 1.244827379954939 W
Power-Stack : 1.244827379954939 W
Power-Thermal : -0.01482737995493899 W
VStack : 1.244827379954939 V
Vcell : 1.244827379954939 V
###########
I : 1.1
PEM Efficiency : 0.7933343765568479 
Power : 1.3613617901715511 W
Power-Stack : 1.3613617901715511 W
Power-Thermal : -0.008361790171551031 W
VStack : 1.2376016274286827 V
Vcell : 1.2376016274286827 V
###########
I : 1.2
PEM Efficiency : 0.7890689791314186 
Power : 1.4771371289340156 W
Power-Stack : 1.4771371289340156 W
Power-Thermal : -0.0011371289340155854 W
VStack : 1.230947607445013 V
Vcell : 1.230947607445013 V
###########
I : 1.3
PEM Efficiency : 0.7851113286904084 
Power : 1.5922057745841485 W
Power-Stack : 1.5922057745841485 W
Power-Thermal : 0.006794225415851485 W
VStack : 1.2247736727570373 V
Vcell : 1.2247736727570373 V
###########
I : 1.4
PEM Efficiency : 0.7814157591393215 
Power : 1.706612017960278 W
Power-Stack : 1.706612017960278 W
Power-Thermal : 0.015387982039721892 W
VStack : 1.2190085842573415 V
Vcell : 1.2190085842573415 V
###########
I : 1.5
PEM Efficiency : 0.7779460692405816 
Power : 1.820393802022961 W
Power-Stack : 1.820393802022961 W
Power-Thermal : 0.02460619797703889 W
VStack : 1.2135958680153074 V
Vcell : 1.2135958680153074 V
###########
I : 1.6
PEM Efficiency : 0.7746730751436158 
Power : 1.933583995558465 W
Power-Stack : 1.933583995558465 W
Power-Thermal : 0.03441600444153501 W
VStack : 1.2084899972240406 V
Vcell : 1.2084899972240406 V
###########
I : 1.7
PEM Efficiency : 0.771572906202878 
Power : 2.0462113472500323 W
Power-Stack : 2.0462113472500323 W
Power-Thermal : 0.04478865274996757 W
VStack : 1.2036537336764896 V
Vcell : 1.2036537336764896 V
###########
I : 1.8
PEM Efficiency : 0.7686257886450131 
Power : 2.158301214515197 W
Power-Stack : 2.158301214515197 W
Power-Thermal : 0.055698785484803184 W
VStack : 1.1990562302862204 V
Vcell : 1.1990562302862204 V
###########
I : 1.9
PEM Efficiency : 0.7658151585364871 
Power : 2.2698761299021477 W
Power-Stack : 2.2698761299021477 W
Power-Thermal : 0.06712387009785219 W
VStack : 1.1946716473169199 V
Vcell : 1.1946716473169199 V
###########
I : 2.0
PEM Efficiency : 0.7631270025420254 
Power : 2.380956247931119 W
Power-Stack : 2.380956247931119 W
Power-Thermal : 0.07904375206888092 W
VStack : 1.1904781239655595 V
Vcell : 1.1904781239655595 V
###########
I : 2.1
PEM Efficiency : 0.7605493596935309 
Power : 2.491559702356007 W
Power-Stack : 2.491559702356007 W
Power-Thermal : 0.09144029764399271 W
VStack : 1.1864570011219082 V
Vcell : 1.1864570011219082 V
###########
I : 2.2
PEM Efficiency : 0.7580719391696471 
Power : 2.601702895230229 W
Power-Stack : 2.601702895230229 W
Power-Thermal : 0.10429710476977118 W
VStack : 1.1825922251046495 V
Vcell : 1.1825922251046495 V
###########
I : 2.3
PEM Efficiency : 0.7556858231082223 
Power : 2.7114007333123014 W
Power-Stack : 2.7114007333123014 W
Power-Thermal : 0.11759926668769842 W
VStack : 1.1788698840488268 V
Vcell : 1.1788698840488268 V
###########
I : 2.4
PEM Efficiency : 0.753383232714607 
Power : 2.820666823283489 W
Power-Stack : 2.820666823283489 W
Power-Thermal : 0.13133317671651062 W
VStack : 1.1752778430347872 V
Vcell : 1.1752778430347872 V
###########
I : 2.5
PEM Efficiency : 0.7511573421474446 
Power : 2.929513634375034 W
Power-Stack : 2.929513634375034 W
Power-Thermal : 0.14548636562496609 W
VStack : 1.1718054537500135 V
Vcell : 1.1718054537500135 V
###########
I : 2.6
PEM Efficiency : 0.7490021289286691 
Power : 3.0379526349346824 W
Power-Stack : 3.0379526349346824 W
Power-Thermal : 0.16004736506531766 W
VStack : 1.168443321128724 V
Vcell : 1.168443321128724 V
###########
I : 2.7
PEM Efficiency : 0.7469122526002784 
Power : 3.145994407952373 W
Power-Stack : 3.145994407952373 W
Power-Thermal : 0.17500559204762714 W
VStack : 1.1651831140564344 V
Vcell : 1.1651831140564344 V
###########
I : 2.8
PEM Efficiency : 0.7448829554595718 
Power : 3.2536487494474096 W
Power-Stack : 3.2536487494474096 W
Power-Thermal : 0.1903512505525901 W
VStack : 1.162017410516932 V
Vcell : 1.162017410516932 V
###########
I : 2.9
PEM Efficiency : 0.7429099807210011 
Power : 3.360924752781809 W
Power-Stack : 3.360924752781809 W
Power-Thermal : 0.20607524721819082 W
VStack : 1.1589395699247618 V
Vcell : 1.1589395699247618 V
###########
I : 3.0
PEM Efficiency : 0.7409895045575802 
Power : 3.4678308813294754 W
Power-Stack : 3.4678308813294754 W
Power-Thermal : 0.22216911867052458 W
VStack : 1.1559436271098251 V
Vcell : 1.1559436271098251 V
###########
I : 3.1
PEM Efficiency : 0.7391180792895339 
Power : 3.5743750314441862 W
Power-Stack : 3.5743750314441862 W
Power-Thermal : 0.23862496855581392 W
VStack : 1.153024203691673 V
Vcell : 1.153024203691673 V
###########
I : 3.2
PEM Efficiency : 0.7372925855955158 
Power : 3.6805645872928157 W
Power-Stack : 3.6805645872928157 W
Power-Thermal : 0.2554354127071847 W
VStack : 1.1501764335290048 V
Vcell : 1.1501764335290048 V
###########
I : 3.3
PEM Efficiency : 0.7355101920796727 
Power : 3.786406468826155 W
Power-Stack : 3.786406468826155 W
Power-Thermal : 0.2725935311738447 W
VStack : 1.1473958996442895 V
Vcell : 1.1473958996442895 V
###########
I : 3.4
PEM Efficiency : 0.7337683208763324 
Power : 3.891907173928067 W
Power-Stack : 3.891907173928067 W
Power-Thermal : 0.29009282607193304 W
VStack : 1.1446785805670785 V
Vcell : 1.1446785805670785 V
###########
I : 3.5
PEM Efficiency : 0.7320646182417239 
Power : 3.9970728155998123 W
Power-Stack : 3.9970728155998123 W
Power-Thermal : 0.30792718440018774 W
VStack : 1.1420208044570892 V
Vcell : 1.1420208044570892 V
###########
I : 3.6
PEM Efficiency : 0.7303969292894269 
Power : 4.101909154889422 W
Power-Stack : 4.101909154889422 W
Power-Thermal : 0.3260908451105779 W
VStack : 1.1394192096915061 V
Vcell : 1.1394192096915061 V
###########
I : 3.7
PEM Efficiency : 0.7287632761880597 
Power : 4.206421630157481 W
Power-Stack : 4.206421630157481 W
Power-Thermal : 0.3445783698425195 W
VStack : 1.136870710853373 V
Vcell : 1.136870710853373 V
###########
I : 3.8
PEM Efficiency : 0.7271618392669932 
Power : 4.310615383174736 W
Power-Stack : 4.310615383174736 W
Power-Thermal : 0.36338461682526346 W
VStack : 1.1343724692565096 V
Vcell : 1.1343724692565096 V
###########
I : 3.9
PEM Efficiency : 0.7255909405767029 
Power : 4.414495282468661 W
Power-Stack : 4.414495282468661 W
Power-Thermal : 0.38250471753133874 W
VStack : 1.1319218672996567 V
Vcell : 1.1319218672996567 V
###########
I : 4.0
PEM Efficiency : 0.7240490295307427 
Power : 4.518065944271835 W
Power-Stack : 4.518065944271835 W
Power-Thermal : 0.401934055728165 W
VStack : 1.1295164860679587 V
Vcell : 1.1295164860679587 V
###########
I : 4.1
PEM Efficiency : 0.7225346703208392 
Power : 4.621331751372088 W
Power-Stack : 4.621331751372088 W
Power-Thermal : 0.4216682486279116 W
VStack : 1.1271540857005093 V
Vcell : 1.1271540857005093 V
###########
I : 4.2
PEM Efficiency : 0.7210465308486499 
Power : 4.724296870120354 W
Power-Stack : 4.724296870120354 W
Power-Thermal : 0.4417031298796457 W
VStack : 1.1248325881238939 V
Vcell : 1.1248325881238939 V
###########
I : 4.3
PEM Efficiency : 0.7195833729599981 
Power : 4.826965265815667 W
Power-Stack : 4.826965265815667 W
Power-Thermal : 0.4620347341843329 W
VStack : 1.122550061817597 V
Vcell : 1.122550061817597 V
###########
I : 4.4
PEM Efficiency : 0.7181440438018671 
Power : 4.929340716656017 W
Power-Stack : 4.929340716656017 W
Power-Thermal : 0.4826592833439837 W
VStack : 1.1203047083309128 V
Vcell : 1.1203047083309128 V
###########
I : 4.5
PEM Efficiency : 0.7167274681507255 
Power : 5.031426826418093 W
Power-Stack : 5.031426826418093 W
Power-Thermal : 0.5035731735819069 W
VStack : 1.1180948503151318 V
Vcell : 1.1180948503151318 V
###########
I : 4.6
PEM Efficiency : 0.7153326415840507 
Power : 5.133227036007147 W
Power-Stack : 5.133227036007147 W
Power-Thermal : 0.524772963992852 W
VStack : 1.115918920871119 V
Vcell : 1.115918920871119 V
###########
I : 4.7
PEM Efficiency : 0.713958624386224 
Power : 5.234744633999795 W
Power-Stack : 5.234744633999795 W
Power-Thermal : 0.5462553660002051 W
VStack : 1.1137754540425095 V
Vcell : 1.1137754540425095 V
###########
I : 4.8
PEM Efficiency : 0.7126045360960039 
Power : 5.335982766286877 W
Power-Stack : 5.335982766286877 W
Power-Thermal : 0.5680172337131225 W
VStack : 1.1116630763097661 V
Vcell : 1.1116630763097661 V
###########
I : 4.9
PEM Efficiency : 0.7112695506161859 
Power : 5.436944444910126 W
Power-Stack : 5.436944444910126 W
Power-Thermal : 0.5900555550898744 W
VStack : 1.10958049896125 V
Vcell : 1.10958049896125 V
###########
I : 5.0
PEM Efficiency : 0.7099528918172862 
Power : 5.537632556174832 W
Power-Stack : 5.537632556174832 W
Power-Thermal : 0.6123674438251681 W
VStack : 1.1075265112349664 V
Vcell : 1.1075265112349664 V
###########
I : 5.1
PEM Efficiency : 0.7086538295765383 
Power : 5.638049868110938 W
Power-Stack : 5.638049868110938 W
Power-Thermal : 0.6349501318890608 W
VStack : 1.1054999741393998 V
Vcell : 1.1054999741393998 V
###########
I : 5.2
PEM Efficiency : 0.7073716762014743 
Power : 5.7381990373463605 W
Power-Stack : 5.7381990373463605 W
Power-Thermal : 0.6578009626536397 W
VStack : 1.1034998148743 V
Vcell : 1.1034998148743 V
###########
I : 5.3
PEM Efficiency : 0.7061057831941243 
Power : 5.838082615449021 W
Power-Stack : 5.838082615449021 W
Power-Thermal : 0.6809173845509793 W
VStack : 1.101525021782834 V
Vcell : 1.101525021782834 V
###########
I : 5.4
PEM Efficiency : 0.7048555383176273 
Power : 5.937703054787692 W
Power-Stack : 5.937703054787692 W
Power-Thermal : 0.7042969452123086 W
VStack : 1.0995746397754984 V
Vcell : 1.0995746397754984 V
###########
I : 5.5
PEM Efficiency : 0.70362036293195 
Power : 6.03706271395613 W
Power-Stack : 6.03706271395613 W
Power-Thermal : 0.7279372860438691 W
VStack : 1.097647766173842 V
Vcell : 1.097647766173842 V
###########
I : 5.6
PEM Efficiency : 0.7023997095696176 
Power : 6.136163862800179 W
Power-Stack : 6.136163862800179 W
Power-Thermal : 0.7518361371998207 W
VStack : 1.0957435469286034 V
Vcell : 1.0957435469286034 V
###########
I : 5.7
PEM Efficiency : 0.7011930597259557 
Power : 6.235008687083197 W
Power-Stack : 6.235008687083197 W
Power-Thermal : 0.7759913129168026 W
VStack : 1.0938611731724908 V
Vcell : 1.0938611731724908 V
###########
I : 5.8
PEM Efficiency : 0.6999999218414613 
Power : 6.3335992928215425 W
Power-Stack : 6.3335992928215425 W
Power-Thermal : 0.8004007071784568 W
VStack : 1.0919998780726798 V
Vcell : 1.0919998780726798 V
###########
I : 5.9
PEM Efficiency : 0.6988198294565888 
Power : 6.431937710318444 W
Power-Stack : 6.431937710318444 W
Power-Thermal : 0.8250622896815563 W
VStack : 1.0901589339522786 V
Vcell : 1.0901589339522786 V
###########
I : 6.0
PEM Efficiency : 0.6976523395215593 
Power : 6.530025897921794 W
Power-Stack : 6.530025897921794 W
Power-Thermal : 0.8499741020782059 W
VStack : 1.0883376496536323 V
Vcell : 1.0883376496536323 V
###########
I : 6.1
PEM Efficiency : 0.6964970308458178 
Power : 6.627865745528802 W
Power-Stack : 6.627865745528802 W
Power-Thermal : 0.8751342544711973 W
VStack : 1.0865353681194758 V
Vcell : 1.0865353681194758 V
###########
I : 6.2
PEM Efficiency : 0.695353502673511 
Power : 6.725459077858199 W
Power-Stack : 6.725459077858199 W
Power-Thermal : 0.9005409221418009 W
VStack : 1.0847514641706772 V
Vcell : 1.0847514641706772 V
###########
I : 6.3
PEM Efficiency : 0.6942213733728804 
Power : 6.822807657508669 W
Power-Stack : 6.822807657508669 W
Power-Thermal : 0.9261923424913306 W
VStack : 1.0829853424616935 V
Vcell : 1.0829853424616935 V
###########
I : 6.4
PEM Efficiency : 0.6931002792288085 
Power : 6.919913187820424 W
Power-Stack : 6.919913187820424 W
Power-Thermal : 0.9520868121795758 W
VStack : 1.0812364355969413 V
Vcell : 1.0812364355969413 V
###########
I : 6.5
PEM Efficiency : 0.6919898733289177 
Power : 7.016777315555226 W
Power-Stack : 7.016777315555226 W
Power-Thermal : 0.9782226844447743 W
VStack : 1.0795042023931116 V
Vcell : 1.0795042023931116 V
###########
I : 6.6
PEM Efficiency : 0.69088982453465 
Power : 7.113401633408756 W
Power-Stack : 7.113401633408756 W
Power-Thermal : 1.004598366591243 W
VStack : 1.077788126274054 V
Vcell : 1.077788126274054 V
###########
I : 6.7
PEM Efficiency : 0.6897998165296582 
Power : 7.209787682367987 W
Power-Stack : 7.209787682367987 W
Power-Thermal : 1.0312123176320125 W
VStack : 1.0760877137862668 V
Vcell : 1.0760877137862668 V
###########
I : 6.8
PEM Efficiency : 0.6887195469386326 
Power : 7.3059369539250145 W
Power-Stack : 7.3059369539250145 W
Power-Thermal : 1.0580630460749854 W
VStack : 1.0744024932242668 V
Vcell : 1.0744024932242668 V
###########
I : 6.9
PEM Efficiency : 0.6876487265103938 
Power : 7.40185089215788 W
Power-Stack : 7.40185089215788 W
Power-Thermal : 1.0851491078421207 W
VStack : 1.0727320133562144 V
Vcell : 1.0727320133562144 V
###########
I : 7.0
PEM Efficiency : 0.6865870783597003 
Power : 7.497530895687927 W
Power-Stack : 7.497530895687927 W
Power-Thermal : 1.1124691043120731 W
VStack : 1.0710758422411324 V
Vcell : 1.0710758422411324 V
###########
I : 7.1
PEM Efficiency : 0.6855343372627701 
Power : 7.592978319522442 W
Power-Stack : 7.592978319522442 W
Power-Thermal : 1.1400216804775574 W
VStack : 1.0694335661299215 V
Vcell : 1.0694335661299215 V
###########
I : 7.2
PEM Efficiency : 0.6844902490020122 
Power : 7.688194476790601 W
Power-Stack : 7.688194476790601 W
Power-Thermal : 1.1678055232093993 W
VStack : 1.067804788443139 V
Vcell : 1.067804788443139 V
###########
I : 7.3
PEM Efficiency : 0.6834545697558863 
Power : 7.783180640380032 W
Power-Stack : 7.783180640380032 W
Power-Thermal : 1.1958193596199678 W
VStack : 1.0661891288191825 V
Vcell : 1.0661891288191825 V
###########
I : 7.4
PEM Efficiency : 0.6824270655302116 
Power : 7.877938044480764 W
Power-Stack : 7.877938044480764 W
Power-Thermal : 1.2240619555192358 W
VStack : 1.0645862222271303 V
Vcell : 1.0645862222271303 V
###########
I : 7.5
PEM Efficiency : 0.6814075116275811 
Power : 7.9724678860427 W
Power-Stack : 7.9724678860427 W
Power-Thermal : 1.2525321139573005 W
VStack : 1.0629957181390266 V
Vcell : 1.0629957181390266 V
###########
I : 7.6
PEM Efficiency : 0.6803956921518519 
Power : 8.066771326152356 W
Power-Stack : 8.066771326152356 W
Power-Thermal : 1.281228673847643 W
VStack : 1.061417279756889 V
Vcell : 1.061417279756889 V
###########
I : 7.7
PEM Efficiency : 0.6793913995449599 
Power : 8.160849491334059 W
Power-Stack : 8.160849491334059 W
Power-Thermal : 1.3101505086659413 W
VStack : 1.0598505832901375 V
Vcell : 1.0598505832901375 V
###########
I : 7.8
PEM Efficiency : 0.6783944341535526 
Power : 8.25470347478043 W
Power-Stack : 8.25470347478043 W
Power-Thermal : 1.3392965252195708 W
VStack : 1.0582953172795422 V
Vcell : 1.0582953172795422 V
###########
I : 7.9
PEM Efficiency : 0.6774046038231637 
Power : 8.348334337516672 W
Power-Stack : 8.348334337516672 W
Power-Thermal : 1.368665662483329 W
VStack : 1.0567511819641355 V
Vcell : 1.0567511819641355 V
###########
I : 8.0
PEM Efficiency : 0.6764217235178417 
Power : 8.441743109502665 W
Power-Stack : 8.441743109502665 W
Power-Thermal : 1.3982568904973345 W
VStack : 1.0552178886878332 V
Vcell : 1.0552178886878332 V
###########
I : 8.1
PEM Efficiency : 0.6754456149633413 
Power : 8.534930790676782 W
Power-Stack : 8.534930790676782 W
Power-Thermal : 1.4280692093232181 W
VStack : 1.0536951593428125 V
Vcell : 1.0536951593428125 V
###########
I : 8.2
PEM Efficiency : 0.6744761063121376 
Power : 8.627898351944864 W
Power-Stack : 8.627898351944864 W
Power-Thermal : 1.458101648055135 W
VStack : 1.0521827258469347 V
Vcell : 1.0521827258469347 V
###########
I : 8.3
PEM Efficiency : 0.6735130318286734 
Power : 8.720646736117663 W
Power-Stack : 8.720646736117663 W
Power-Thermal : 1.4883532638823367 W
VStack : 1.0506803296527305 V
Vcell : 1.0506803296527305 V
###########
I : 8.4
PEM Efficiency : 0.6725562315933873 
Power : 8.813176858799748 W
Power-Stack : 8.813176858799748 W
Power-Thermal : 1.5188231412002529 W
VStack : 1.0491877212856842 V
Vcell : 1.0491877212856842 V
###########
I : 8.5
PEM Efficiency : 0.6716055512241837 
Power : 8.905489609232676 W
Power-Stack : 8.905489609232676 W
Power-Thermal : 1.5495103907673236 W
VStack : 1.0477046599097266 V
Vcell : 1.0477046599097266 V
###########
I : 8.6
PEM Efficiency : 0.6706608416141229 
Power : 8.997585851095073 W
Power-Stack : 8.997585851095073 W
Power-Thermal : 1.5804141489049262 W
VStack : 1.0462309129180318 V
Vcell : 1.0462309129180318 V
###########
I : 8.7
PEM Efficiency : 0.669721958684202 
Power : 9.089466423261989 W
Power-Stack : 9.089466423261989 W
Power-Thermal : 1.6115335767380101 W
VStack : 1.0447662555473551 V
Vcell : 1.0447662555473551 V
###########
I : 8.8
PEM Efficiency : 0.668788763150189 
Power : 9.181132140525795 W
Power-Stack : 9.181132140525795 W
Power-Thermal : 1.6428678594742057 W
VStack : 1.0433104705142948 V
Vcell : 1.0433104705142948 V
###########
I : 8.9
PEM Efficiency : 0.6678611203025607 
Power : 9.272583794280754 W
Power-Stack : 9.272583794280754 W
Power-Thermal : 1.6744162057192469 W
VStack : 1.0418633476719947 V
Vcell : 1.0418633476719947 V
###########
I : 9.0
PEM Efficiency : 0.666938899798659 
Power : 9.363822153173173 W
Power-Stack : 9.363822153173173 W
Power-Thermal : 1.7061778468268267 W
VStack : 1.0404246836859081 V
Vcell : 1.0404246836859081 V
###########
I : 9.1
PEM Efficiency : 0.6660219754662559 
Power : 9.454847963718969 W
Power-Stack : 9.454847963718969 W
Power-Thermal : 1.7381520362810312 W
VStack : 1.0389942817273592 V
Vcell : 1.0389942817273592 V
###########
I : 9.2
PEM Efficiency : 0.6651102251177778 
Power : 9.545661950890349 W
Power-Stack : 9.545661950890349 W
Power-Thermal : 1.7703380491096508 W
VStack : 1.0375719511837336 V
Vcell : 1.0375719511837336 V
###########
I : 9.3
PEM Efficiency : 0.6642035303744972 
Power : 9.636264818673208 W
Power-Stack : 9.636264818673208 W
Power-Thermal : 1.8027351813267936 W
VStack : 1.0361575073842157 V
Vcell : 1.0361575073842157 V
###########
I : 9.4
PEM Efficiency : 0.6633017765000447 
Power : 9.726657250596658 W
Power-Stack : 9.726657250596658 W
Power-Thermal : 1.8353427494033432 W
VStack : 1.0347507713400699 V
Vcell : 1.0347507713400699 V
###########
I : 9.5
PEM Efficiency : 0.6624048522426575 
Power : 9.816839910236185 W
Power-Stack : 9.816839910236185 W
Power-Thermal : 1.8681600897638149 W
VStack : 1.0333515694985458 V
Vcell : 1.0333515694985458 V
###########
I : 9.6
PEM Efficiency : 0.6615126496856034 
Power : 9.906813441691597 W
Power-Stack : 9.906813441691597 W
Power-Thermal : 1.9011865583084022 W
VStack : 1.0319597335095414 V
Vcell : 1.0319597335095414 V
###########
I : 9.7
PEM Efficiency : 0.6606250641052779 
Power : 9.996578470041065 W
Power-Stack : 9.996578470041065 W
Power-Thermal : 1.934421529958934 W
VStack : 1.0305751000042336 V
Vcell : 1.0305751000042336 V
###########
I : 9.8
PEM Efficiency : 0.6597419938364971 
Power : 10.08613560177237 W
Power-Stack : 10.08613560177237 W
Power-Thermal : 1.9678643982276314 W
VStack : 1.0291975103849356 V
Vcell : 1.0291975103849356 V
###########
I : 9.9
PEM Efficiency : 0.6588633401445464 
Power : 10.175485425192376 W
Power-Stack : 10.175485425192376 W
Power-Thermal : 2.001514574807625 W
VStack : 1.0278268106254924 V
Vcell : 1.0278268106254924 V
###########
I : 10.0
PEM Efficiency : 0.6579890071035762 
Power : 10.26462851081579 W
Power-Stack : 10.26462851081579 W
Power-Thermal : 2.03537148918421 W
VStack : 1.026462851081579 V
Vcell : 1.026462851081579 V
###########
I : 10.1
PEM Efficiency : 0.6571189014809643 
Power : 10.353565411734074 W
Power-Stack : 10.353565411734074 W
Power-Thermal : 2.069434588265925 W
VStack : 1.0251054863103044 V
Vcell : 1.0251054863103044 V
###########
I : 10.2
PEM Efficiency : 0.6562529326272898 
Power : 10.442296663965434 W
Power-Stack : 10.442296663965434 W
Power-Thermal : 2.103703336034564 W
VStack : 1.0237545748985721 V
Vcell : 1.0237545748985721 V
###########
I : 10.3
PEM Efficiency : 0.6553910123715884 
Power : 10.530822786786683 W
Power-Stack : 10.530822786786683 W
Power-Thermal : 2.1381772132133174 W
VStack : 1.022409979299678 V
Vcell : 1.022409979299678 V
###########
I : 10.4
PEM Efficiency : 0.6545330549215813 
Power : 10.619144283047735 W
Power-Stack : 10.619144283047735 W
Power-Thermal : 2.1728557169522653 W
VStack : 1.0210715656776668 V
Vcell : 1.0210715656776668 V
###########
I : 10.5
PEM Efficiency : 0.6536789767685893 
Power : 10.707261639469493 W
Power-Stack : 10.707261639469493 W
Power-Thermal : 2.207738360530506 W
VStack : 1.0197392037589994 V
Vcell : 1.0197392037589994 V
###########
I : 10.6
PEM Efficiency : 0.6528286965968656 
Power : 10.79517532692577 W
Power-Stack : 10.79517532692577 W
Power-Thermal : 2.242824673074229 W
VStack : 1.0184127666911105 V
Vcell : 1.0184127666911105 V
###########
I : 10.7
PEM Efficiency : 0.6519821351970941 
Power : 10.882885800709897 W
Power-Stack : 10.882885800709897 W
Power-Thermal : 2.278114199290103 W
VStack : 1.017092130907467 V
Vcell : 1.017092130907467 V
###########
I : 10.8
PEM Efficiency : 0.6511392153838197 
Power : 10.970393500786596 W
Power-Stack : 10.970393500786596 W
Power-Thermal : 2.3136064992134044 W
VStack : 1.0157771759987588 V
Vcell : 1.0157771759987588 V
###########
I : 10.9
PEM Efficiency : 0.6502998619165927 
Power : 11.057698852029743 W
Power-Stack : 11.057698852029743 W
Power-Thermal : 2.3493011479702575 W
VStack : 1.0144677845898846 V
Vcell : 1.0144677845898846 V
###########
I : 11.0
PEM Efficiency : 0.6494640014246192 
Power : 11.144802264446467 W
Power-Stack : 11.144802264446467 W
Power-Thermal : 2.385197735553533 W
VStack : 1.013163842222406 V
Vcell : 1.013163842222406 V
###########
I : 11.1
PEM Efficiency : 0.6486315623347271 
Power : 11.231704133388135 W
Power-Stack : 11.231704133388135 W
Power-Thermal : 2.4212958666118642 W
VStack : 1.0118652372421744 V
Vcell : 1.0118652372421744 V
###########
I : 11.2
PEM Efficiency : 0.6478024748024653 
Power : 11.318404839748673 W
Power-Stack : 11.318404839748673 W
Power-Thermal : 2.4575951602513255 W
VStack : 1.010571860691846 V
Vcell : 1.010571860691846 V
###########
I : 11.3
PEM Efficiency : 0.6469766706461694 
Power : 11.404904750150674 W
Power-Stack : 11.404904750150674 W
Power-Thermal : 2.494095249849327 W
VStack : 1.0092836062080242 V
Vcell : 1.0092836062080242 V
###########
I : 11.4
PEM Efficiency : 0.6461540832838325 
Power : 11.491204217119677 W
Power-Stack : 11.491204217119677 W
Power-Thermal : 2.5307957828803236 W
VStack : 1.0080003699227786 V
Vcell : 1.0080003699227786 V
###########
I : 11.5
PEM Efficiency : 0.6453346476726342 
Power : 11.577303579247056 W
Power-Stack : 11.577303579247056 W
Power-Thermal : 2.567696420752943 W
VStack : 1.0067220503693093 V
Vcell : 1.0067220503693093 V
###########
I : 11.6
PEM Efficiency : 0.6445183002509853 
Power : 11.663203161341832 W
Power-Stack : 11.663203161341832 W
Power-Thermal : 2.604796838658168 W
VStack : 1.0054485483915372 V
Vcell : 1.0054485483915372 V
###########
I : 11.7
PEM Efficiency : 0.6437049788829582 
Power : 11.748903274571752 W
Power-Stack : 11.748903274571752 W
Power-Thermal : 2.642096725428246 W
VStack : 1.0041797670574149 V
Vcell : 1.0041797670574149 V
###########
I : 11.8
PEM Efficiency : 0.6428946228049783 
Power : 11.834404216594043 W
Power-Stack : 11.834404216594043 W
Power-Thermal : 2.6795957834059583 W
VStack : 1.0029156115757663 V
Vcell : 1.0029156115757663 V
###########
I : 11.9
PEM Efficiency : 0.6420871725746595 
Power : 11.919706271675981 W
Power-Stack : 11.919706271675981 W
Power-Thermal : 2.7172937283240195 W
VStack : 1.001655989216469 V
Vcell : 1.001655989216469 V
###########
I : 12.0
PEM Efficiency : 0.6412825700216748 
Power : 12.004809710805754 W
Power-Stack : 12.004809710805754 W
Power-Thermal : 2.755190289194246 W
VStack : 1.0004008092338128 V
Vcell : 1.0004008092338128 V
###########
I : 12.1
PEM Efficiency : 0.6404807582005565 
Power : 12.089714791793705 W
Power-Stack : 12.089714791793705 W
Power-Thermal : 2.793285208206295 W
VStack : 0.9991499827928682 V
Vcell : 0.9991499827928682 V
###########
I : 12.2
PEM Efficiency : 0.6396816813453303 
Power : 12.174421759364325 W
Power-Stack : 12.174421759364325 W
Power-Thermal : 2.8315782406356735 W
VStack : 0.9979034228987153 V
Vcell : 0.9979034228987153 V
###########
I : 12.3
PEM Efficiency : 0.6388852848258906 
Power : 12.25893084523919 W
Power-Stack : 12.25893084523919 W
Power-Thermal : 2.87006915476081 W
VStack : 0.9966610443283894 V
Vcell : 0.9966610443283894 V
###########
I : 12.4
PEM Efficiency : 0.6380915151060293 
Power : 12.343242268211034 W
Power-Stack : 12.343242268211034 W
Power-Thermal : 2.9087577317889663 W
VStack : 0.9954227635654059 V
Vcell : 0.9954227635654059 V
###########
I : 12.5
PEM Efficiency : 0.6373003197030366 
Power : 12.427356234209215 W
Power-Stack : 12.427356234209215 W
Power-Thermal : 2.947643765790785 W
VStack : 0.9941884987367372 V
Vcell : 0.9941884987367372 V
###########
I : 12.6
PEM Efficiency : 0.6365116471487954 
Power : 12.511272936356724 W
Power-Stack : 12.511272936356724 W
Power-Thermal : 2.986727063643276 W
VStack : 0.9929581695521209 V
Vcell : 0.9929581695521209 V
###########
I : 12.7
PEM Efficiency : 0.6357254469522987 
Power : 12.59499255501894 W
Power-Stack : 12.59499255501894 W
Power-Thermal : 3.0260074449810577 W
VStack : 0.991731697245586 V
Vcell : 0.991731697245586 V
###########
I : 12.8
PEM Efficiency : 0.6349416695635154 
Power : 12.678515257844277 W
Power-Stack : 12.678515257844277 W
Power-Thermal : 3.0654847421557236 W
VStack : 0.9905090045190841 V
Vcell : 0.9905090045190841 V
###########
I : 12.9
PEM Efficiency : 0.6341602663385453 
Power : 12.761841199796885 W
Power-Stack : 12.761841199796885 W
Power-Thermal : 3.1051588002031143 W
VStack : 0.9892900154881307 V
Vcell : 0.9892900154881307 V
###########
I : 13.0
PEM Efficiency : 0.6333811895059946 
Power : 12.844970523181573 W
Power-Stack : 12.844970523181573 W
Power-Thermal : 3.1450294768184275 W
VStack : 0.9880746556293517 V
Vcell : 0.9880746556293517 V
###########
I : 13.1
PEM Efficiency : 0.6326043921345192 
Power : 12.927903357661036 W
Power-Stack : 12.927903357661036 W
Power-Thermal : 3.185096642338963 W
VStack : 0.9868628517298501 V
Vcell : 0.9868628517298501 V
###########
I : 13.2
PEM Efficiency : 0.6318298281014744 
Power : 13.01063982026556 W
Power-Stack : 13.01063982026556 W
Power-Thermal : 3.2253601797344382 W
VStack : 0.9856545318383001 V
Vcell : 0.9856545318383001 V
###########
I : 13.3
PEM Efficiency : 0.6310574520626222 
Power : 13.093180015395285 W
Power-Stack : 13.093180015395285 W
Power-Thermal : 3.2658199846047142 W
VStack : 0.9844496252176906 V
Vcell : 0.9844496252176906 V
###########
I : 13.4
PEM Efficiency : 0.6302872194228443 
Power : 13.175524034815139 W
Power-Stack : 13.175524034815139 W
Power-Thermal : 3.3064759651848625 W
VStack : 0.9832480622996371 V
Vcell : 0.9832480622996371 V
###########
I : 13.5
PEM Efficiency : 0.6295190863078136 
Power : 13.257671957642556 W
Power-Stack : 13.257671957642556 W
Power-Thermal : 3.3473280423574447 W
VStack : 0.9820497746401893 V
Vcell : 0.9820497746401893 V
###########
I : 13.6
PEM Efficiency : 0.6287530095365773 
Power : 13.339623850328024 W
Power-Stack : 13.339623850328024 W
Power-Thermal : 3.3883761496719744 W
VStack : 0.9808546948770607 V
Vcell : 0.9808546948770607 V
###########
I : 13.7
PEM Efficiency : 0.6279889465950115 
Power : 13.421379766628586 W
Power-Stack : 13.421379766628586 W
Power-Thermal : 3.4296202333714128 W
VStack : 0.979662756688218 V
Vcell : 0.979662756688218 V
###########
I : 13.8
PEM Efficiency : 0.6272268556101052 
Power : 13.502939747574347 W
Power-Stack : 13.502939747574347 W
Power-Thermal : 3.4710602524256546 W
VStack : 0.9784738947517642 V
Vcell : 0.9784738947517642 V
###########
I : 13.9
PEM Efficiency : 0.6264666953250331 
Power : 13.584303821428017 W
Power-Stack : 13.584303821428017 W
Power-Thermal : 3.5126961785719835 W
VStack : 0.9772880447070516 V
Vcell : 0.9772880447070516 V
###########
I : 14.0
PEM Efficiency : 0.6257084250749828 
Power : 13.665472003637626 W
Power-Stack : 13.665472003637626 W
Power-Thermal : 3.554527996362374 W
VStack : 0.9761051431169733 V
Vcell : 0.9761051431169733 V
###########
I : 14.1
PEM Efficiency : 0.6249520047637008 
Power : 13.746444296782363 W
Power-Stack : 13.746444296782363 W
Power-Thermal : 3.5965557032176365 W
VStack : 0.9749251274313733 V
Vcell : 0.9749251274313733 V
###########
I : 14.2
PEM Efficiency : 0.6241973948407217 
Power : 13.827220690511664 W
Power-Stack : 13.827220690511664 W
Power-Thermal : 3.6387793094883336 W
VStack : 0.9737479359515258 V
Vcell : 0.9737479359515258 V
###########
I : 14.3
PEM Efficiency : 0.623444556279251 
Power : 13.907801161477535 W
Power-Stack : 13.907801161477535 W
Power-Thermal : 3.6811988385224668 W
VStack : 0.9725735077956317 V
Vcell : 0.9725735077956317 V
###########
I : 14.4
PEM Efficiency : 0.6226934505546711 
Power : 13.988185673260134 W
Power-Stack : 13.988185673260134 W
Power-Thermal : 3.723814326739867 W
VStack : 0.971401782865287 V
Vcell : 0.971401782865287 V
###########
I : 14.5
PEM Efficiency : 0.6219440396236384 
Power : 14.068374176286701 W
Power-Stack : 14.068374176286701 W
Power-Thermal : 3.7666258237132992 W
VStack : 0.9702327018128759 V
Vcell : 0.9702327018128759 V
###########
I : 14.6
PEM Efficiency : 0.6211962859037485 
Power : 14.148366607743776 W
Power-Stack : 14.148366607743776 W
Power-Thermal : 3.809633392256223 W
VStack : 0.9690662060098477 V
Vcell : 0.9690662060098477 V
###########
I : 14.7
PEM Efficiency : 0.6204501522537392 
Power : 14.228162891482746 W
Power-Stack : 14.228162891482746 W
Power-Thermal : 3.852837108517252 W
VStack : 0.9679022375158332 V
Vcell : 0.9679022375158332 V
###########
I : 14.8
PEM Efficiency : 0.6197056019542068 
Power : 14.307762937918728 W
Power-Stack : 14.307762937918728 W
Power-Thermal : 3.896237062081273 W
VStack : 0.9667407390485626 V
Vcell : 0.9667407390485626 V
###########
I : 14.9
PEM Efficiency : 0.6189625986888149 
Power : 14.387166643922813 W
Power-Stack : 14.387166643922813 W
Power-Thermal : 3.939833356077187 W
VStack : 0.9655816539545512 V
Vcell : 0.9655816539545512 V
###########
I : 15.0
PEM Efficiency : 0.6182211065259663 
Power : 14.466373892707612 W
Power-Stack : 14.466373892707612 W
Power-Thermal : 3.983626107292388 W
VStack : 0.9644249261805075 V
Vcell : 0.9644249261805075 V
###########
I : 15.1
PEM Efficiency : 0.6174810899009228 
Power : 14.545384553706137 W
Power-Stack : 14.545384553706137 W
Power-Thermal : 4.027615446293862 W
VStack : 0.9632705002454396 V
Vcell : 0.9632705002454396 V
###########
I : 15.2
PEM Efficiency : 0.6167425135983463 
Power : 14.624198482443989 W
Power-Stack : 14.624198482443989 W
Power-Thermal : 4.07180151755601 W
VStack : 0.9621183212134203 V
Vcell : 0.9621183212134203 V
###########
I : 15.3
PEM Efficiency : 0.616005342735245 
Power : 14.702815520404828 W
Power-Stack : 14.702815520404828 W
Power-Thermal : 4.116184479595173 W
VStack : 0.9609683346669822 V
Vcell : 0.9609683346669822 V
###########
I : 15.4
PEM Efficiency : 0.6152695427443009 
Power : 14.781235494889087 W
Power-Stack : 14.781235494889087 W
Power-Thermal : 4.1607645051109134 W
VStack : 0.9598204866811095 V
Vcell : 0.9598204866811095 V
###########
I : 15.5
PEM Efficiency : 0.6145350793575669 
Power : 14.859458218865967 W
Power-Stack : 14.859458218865967 W
Power-Thermal : 4.205541781134031 W
VStack : 0.9586747237978044 V
Vcell : 0.9586747237978044 V
###########
I : 15.6
PEM Efficiency : 0.6138019185905063 
Power : 14.937483490818561 W
Power-Stack : 14.937483490818561 W
Power-Thermal : 4.2505165091814385 W
VStack : 0.9575309930011898 V
Vcell : 0.9575309930011898 V
###########
I : 15.7
PEM Efficiency : 0.6130700267263667 
Power : 15.015311094582172 W
Power-Stack : 15.015311094582172 W
Power-Thermal : 4.295688905417827 W
VStack : 0.956389241693132 V
Vcell : 0.956389241693132 V
###########
I : 15.8
PEM Efficiency : 0.6123393703008664 
Power : 15.092940799175757 W
Power-Stack : 15.092940799175757 W
Power-Thermal : 4.341059200824243 W
VStack : 0.9552494176693517 V
Vcell : 0.9552494176693517 V
###########
I : 15.9
PEM Efficiency : 0.6116099160871786 
Power : 15.170372358626379 W
Power-Stack : 15.170372358626379 W
Power-Thermal : 4.386627641373622 W
VStack : 0.9541114690959986 V
Vcell : 0.9541114690959986 V
###########
I : 16.0
PEM Efficiency : 0.6108816310811995 
Power : 15.247605511786741 W
Power-Stack : 15.247605511786741 W
Power-Thermal : 4.432394488213259 W
VStack : 0.9529753444866713 V
Vcell : 0.9529753444866713 V
###########
I : 16.1
PEM Efficiency : 0.6101544824870845 
Power : 15.324639982145618 W
Power-Stack : 15.324639982145618 W
Power-Thermal : 4.478360017854385 W
VStack : 0.9518409926798519 V
Vcell : 0.9518409926798519 V
###########
I : 16.2
PEM Efficiency : 0.6094284377030386 
Power : 15.401475477631191 W
Power-Stack : 15.401475477631191 W
Power-Thermal : 4.524524522368808 W
VStack : 0.9507083628167402 V
Vcell : 0.9507083628167402 V
###########
I : 16.3
PEM Efficiency : 0.6087034643073475 
Power : 15.478111690407234 W
Power-Stack : 15.478111690407234 W
Power-Thermal : 4.5708883095927675 W
VStack : 0.9495774043194621 V
Vcell : 0.9495774043194621 V
###########
I : 16.4
PEM Efficiency : 0.6079795300446383 
Power : 15.554548296662025 W
Power-Stack : 15.554548296662025 W
Power-Thermal : 4.617451703337973 W
VStack : 0.9484480668696358 V
Vcell : 0.9484480668696358 V
###########
I : 16.5
PEM Efficiency : 0.6072566028123524 
Power : 15.63078495638995 W
Power-Stack : 15.63078495638995 W
Power-Thermal : 4.6642150436100485 W
VStack : 0.9473203003872698 V
Vcell : 0.9473203003872698 V
###########
I : 16.6
PEM Efficiency : 0.6065346506474247 
Power : 15.706821313165714 W
Power-Stack : 15.706821313165714 W
Power-Thermal : 4.7111786868342875 W
VStack : 0.9461940550099827 V
Vcell : 0.9461940550099827 V
###########
I : 16.7
PEM Efficiency : 0.6058136417131522 
Power : 15.782656993911042 W
Power-Stack : 15.782656993911042 W
Power-Thermal : 4.758343006088957 W
VStack : 0.9450692810725175 V
Vcell : 0.9450692810725175 V
###########
I : 16.8
PEM Efficiency : 0.6050935442862435 
Power : 15.85829160865387 W
Power-Stack : 15.85829160865387 W
Power-Thermal : 4.805708391346131 W
VStack : 0.9439459290865398 V
Vcell : 0.9439459290865398 V
###########
I : 16.9
PEM Efficiency : 0.6043743267440375 
Power : 15.933724750279803 W
Power-Stack : 15.933724750279803 W
Power-Thermal : 4.853275249720195 W
VStack : 0.9428239497206985 V
Vcell : 0.9428239497206985 V
###########
I : 17.0
PEM Efficiency : 0.6036559575518805 
Power : 16.00895599427587 W
Power-Stack : 16.00895599427587 W
Power-Thermal : 4.901044005724129 W
VStack : 0.9417032937809335 V
Vcell : 0.9417032937809335 V
###########
I : 17.1
PEM Efficiency : 0.6029384052506526 
Power : 16.083984898466408 W
Power-Stack : 16.083984898466408 W
Power-Thermal : 4.949015101533592 W
VStack : 0.940583912191018 V
Vcell : 0.940583912191018 V
###########
I : 17.2
PEM Efficiency : 0.602221638444431 
Power : 16.158811002740975 W
Power-Stack : 16.158811002740975 W
Power-Thermal : 4.997188997259024 W
VStack : 0.9394657559733125 V
Vcell : 0.9394657559733125 V
###########
I : 17.3
PEM Efficiency : 0.6015056257882837 
Power : 16.233433828774203 W
Power-Stack : 16.233433828774203 W
Power-Thermal : 5.0455661712258 W
VStack : 0.9383487762297226 V
Vcell : 0.9383487762297226 V
###########
I : 17.4
PEM Efficiency : 0.6007903359761817 
Power : 16.307852879737474 W
Power-Stack : 16.307852879737474 W
Power-Thermal : 5.094147120262522 W
VStack : 0.9372329241228435 V
Vcell : 0.9372329241228435 V
###########
I : 17.5
PEM Efficiency : 0.6000757377290225 
Power : 16.382067640002315 W
Power-Stack : 16.382067640002315 W
Power-Thermal : 5.142932359997685 W
VStack : 0.9361181508572751 V
Vcell : 0.9361181508572751 V
###########
I : 17.6
PEM Efficiency : 0.5993617997827545 
Power : 16.45607757483531 W
Power-Stack : 16.45607757483531 W
Power-Thermal : 5.191922425164692 W
VStack : 0.935004407661097 V
Vcell : 0.935004407661097 V
###########
I : 17.7
PEM Efficiency : 0.5986484908765953 
Power : 16.529882130084548 W
Power-Stack : 16.529882130084548 W
Power-Thermal : 5.241117869915449 W
VStack : 0.9338916457674887 V
Vcell : 0.9338916457674887 V
###########
I : 17.8
PEM Efficiency : 0.5979357797413344 
Power : 16.603480731857374 W
Power-Stack : 16.603480731857374 W
Power-Thermal : 5.290519268142626 W
VStack : 0.9327798163964817 V
Vcell : 0.9327798163964817 V
###########
I : 17.9
PEM Efficiency : 0.5972236350877123 
Power : 16.676872786189275 W
Power-Stack : 16.676872786189275 W
Power-Thermal : 5.340127213810722 W
VStack : 0.9316688707368311 V
Vcell : 0.9316688707368311 V
###########
I : 18.0
PEM Efficiency : 0.5965120255948688 
Power : 16.750057678703918 W
Power-Stack : 16.750057678703918 W
Power-Thermal : 5.38994232129608 W
VStack : 0.9305587599279955 V
Vcell : 0.9305587599279955 V
###########
I : 18.1
PEM Efficiency : 0.5958009198988534 
Power : 16.823034774264027 W
Power-Stack : 16.823034774264027 W
Power-Thermal : 5.439965225735973 W
VStack : 0.9294494350422114 V
Vcell : 0.9294494350422114 V
###########
I : 18.2
PEM Efficiency : 0.5950902865811867 
Power : 16.895803416613052 W
Power-Stack : 16.895803416613052 W
Power-Thermal : 5.490196583386948 W
VStack : 0.9283408470666512 V
Vcell : 0.9283408470666512 V
###########
I : 18.3
PEM Efficiency : 0.5943800941574697 
Power : 16.968362928007448 W
Power-Stack : 16.968362928007448 W
Power-Thermal : 5.5406370719925535 W
VStack : 0.9272329468856528 V
Vcell : 0.9272329468856528 V
###########
I : 18.4
PEM Efficiency : 0.5936703110660336 
Power : 17.040712608839428 W
Power-Stack : 17.040712608839428 W
Power-Thermal : 5.591287391160571 W
VStack : 0.9261256852630124 V
Vcell : 0.9261256852630124 V
###########
I : 18.5
PEM Efficiency : 0.5929609056566177 
Power : 17.112851737249986 W
Power-Stack : 17.112851737249986 W
Power-Thermal : 5.642148262750013 W
VStack : 0.9250190128243236 V
Vcell : 0.9250190128243236 V
###########
I : 18.6
PEM Efficiency : 0.5922518461790761 
Power : 17.184779568732072 W
Power-Stack : 17.184779568732072 W
Power-Thermal : 5.693220431267929 W
VStack : 0.9239128800393587 V
Vcell : 0.9239128800393587 V
###########
I : 18.7
PEM Efficiency : 0.5915431007721006 
Power : 17.25649533572372 W
Power-Stack : 17.25649533572372 W
Power-Thermal : 5.744504664276279 W
VStack : 0.922807237204477 V
Vcell : 0.922807237204477 V
###########
I : 18.8
PEM Efficiency : 0.5908346374519565 
Power : 17.32799824719098 W
Power-Stack : 17.32799824719098 W
Power-Thermal : 5.796001752809019 W
VStack : 0.9217020344250522 V
Vcell : 0.9217020344250522 V
###########
I : 18.9
PEM Efficiency : 0.5901264241012222 
Power : 17.399287488200436 W
Power-Stack : 17.399287488200436 W
Power-Thermal : 5.847712511799563 W
VStack : 0.9205972215979067 V
Vcell : 0.9205972215979067 V
###########
I : 19.0
PEM Efficiency : 0.5894184284575297 
Power : 17.470362219481178 W
Power-Stack : 17.470362219481178 W
Power-Thermal : 5.8996377805188205 W
VStack : 0.9194927483937463 V
Vcell : 0.9194927483937463 V
###########
I : 19.1
PEM Efficiency : 0.5887106181022951 
Power : 17.541221576975985 W
Power-Stack : 17.541221576975985 W
Power-Thermal : 5.951778423024015 W
VStack : 0.9183885642395804 V
Vcell : 0.9183885642395804 V
###########
I : 19.2
PEM Efficiency : 0.588002960449438 
Power : 17.611864671381568 W
Power-Stack : 17.611864671381568 W
Power-Thermal : 6.00413532861843 W
VStack : 0.9172846183011234 V
Vcell : 0.9172846183011234 V
###########
I : 19.3
PEM Efficiency : 0.5872954227340788 
Power : 17.682290587677645 W
Power-Stack : 17.682290587677645 W
Power-Thermal : 6.0567094123223555 W
VStack : 0.9161808594651629 V
Vcell : 0.9161808594651629 V
###########
I : 19.4
PEM Efficiency : 0.5865879720012114 
Power : 17.75249838464466 W
Power-Stack : 17.75249838464466 W
Power-Thermal : 6.109501615355338 W
VStack : 0.9150772363218898 V
Vcell : 0.9150772363218898 V
###########
I : 19.5
PEM Efficiency : 0.5858805750943443 
Power : 17.822487094369958 W
Power-Stack : 17.822487094369958 W
Power-Thermal : 6.162512905630043 W
VStack : 0.9139736971471772 V
Vcell : 0.9139736971471772 V
###########
I : 19.6
PEM Efficiency : 0.5851731986441038 
Power : 17.89225572174212 W
Power-Stack : 17.89225572174212 W
Power-Thermal : 6.215744278257882 W
VStack : 0.912870189884802 V
Vcell : 0.912870189884802 V
###########
I : 19.7
PEM Efficiency : 0.5844658090567932 
Power : 17.96180324393337 W
Power-Stack : 17.96180324393337 W
Power-Thermal : 6.269196756066627 W
VStack : 0.9117666621285976 V
Vcell : 0.9117666621285976 V
###########
I : 19.8
PEM Efficiency : 0.5837583725029035 
Power : 18.031128609869686 W
Power-Stack : 18.031128609869686 W
Power-Thermal : 6.322871390130315 W
VStack : 0.9106630611045295 V
Vcell : 0.9106630611045295 V
###########
I : 19.9
PEM Efficiency : 0.5830508549055692 
Power : 18.10023073968849 W
Power-Stack : 18.10023073968849 W
Power-Thermal : 6.376769260311507 W
VStack : 0.909559333652688 V
Vcell : 0.909559333652688 V
###########
I : 20.0
PEM Efficiency : 0.5823432219289632 
Power : 18.16910852418365 W
Power-Stack : 18.16910852418365 W
Power-Thermal : 6.430891475816349 W
VStack : 0.9084554262091825 V
Vcell : 0.9084554262091825 V
###########
I : 20.1
PEM Efficiency : 0.5816354389666256 
Power : 18.237760824237515 W
Power-Stack : 18.237760824237515 W
Power-Thermal : 6.485239175762486 W
VStack : 0.907351284787936 V
Vcell : 0.907351284787936 V
###########
I : 20.2
PEM Efficiency : 0.5809274711297219 
Power : 18.306186470239794 W
Power-Stack : 18.306186470239794 W
Power-Thermal : 6.539813529760203 W
VStack : 0.9062468549623661 V
Vcell : 0.9062468549623661 V
###########
I : 20.3
PEM Efficiency : 0.5802192832352218 
Power : 18.374384261493006 W
Power-Stack : 18.374384261493006 W
Power-Thermal : 6.594615738506996 W
VStack : 0.905142081846946 V
Vcell : 0.905142081846946 V
###########
I : 20.4
PEM Efficiency : 0.5795108397939975 
Power : 18.442352965604176 W
Power-Stack : 18.442352965604176 W
Power-Thermal : 6.649647034395823 W
VStack : 0.9040369100786361 V
Vcell : 0.9040369100786361 V
###########
I : 20.5
PEM Efficiency : 0.5788021049988329 
Power : 18.510091317862678 W
Power-Stack : 18.510091317862678 W
Power-Thermal : 6.704908682137323 W
VStack : 0.9029312837981793 V
Vcell : 0.9029312837981793 V
###########
I : 20.6
PEM Efficiency : 0.5780930427123385 
Power : 18.577598020603716 W
Power-Stack : 18.577598020603716 W
Power-Thermal : 6.760401979396287 W
VStack : 0.9018251466312482 V
Vcell : 0.9018251466312482 V
###########
I : 20.7
PEM Efficiency : 0.5773836164547693 
Power : 18.64487174255741 W
Power-Stack : 18.64487174255741 W
Power-Thermal : 6.816128257442588 W
VStack : 0.9007184416694402 V
Vcell : 0.9007184416694402 V
###########
I : 20.8
PEM Efficiency : 0.5766737893917349 
Power : 18.711911118183014 W
Power-Stack : 18.711911118183014 W
Power-Thermal : 6.872088881816987 W
VStack : 0.8996111114511064 V
Vcell : 0.8996111114511064 V
###########
I : 20.9
PEM Efficiency : 0.5759635243218035 
Power : 18.778714746988083 W
Power-Stack : 18.778714746988083 W
Power-Thermal : 6.928285253011916 W
VStack : 0.8985030979420136 V
Vcell : 0.8985030979420136 V
###########
I : 21.0
PEM Efficiency : 0.5752527836639879 
Power : 18.845281192832246 W
Power-Stack : 18.845281192832246 W
Power-Thermal : 6.984718807167755 W
VStack : 0.8973943425158212 V
Vcell : 0.8973943425158212 V
###########
I : 21.1
PEM Efficiency : 0.5745415294451122 
Power : 18.911608983215313 W
Power-Stack : 18.911608983215313 W
Power-Thermal : 7.041391016784687 W
VStack : 0.896284785934375 V
Vcell : 0.896284785934375 V
###########
I : 21.2
PEM Efficiency : 0.5738297232870508 
Power : 18.977696608549344 W
Power-Stack : 18.977696608549344 W
Power-Thermal : 7.098303391450655 W
VStack : 0.8951743683277993 V
Vcell : 0.8951743683277993 V
###########
I : 21.3
PEM Efficiency : 0.5731173263938389 
Power : 19.04354252141448 W
Power-Stack : 19.04354252141448 W
Power-Thermal : 7.15545747858552 W
VStack : 0.8940630291743887 V
Vcell : 0.8940630291743887 V
###########
I : 21.4
PEM Efficiency : 0.5724042995386417 
Power : 19.109145135798016 W
Power-Stack : 19.109145135798016 W
Power-Thermal : 7.212854864201983 W
VStack : 0.8929507072802811 V
Vcell : 0.8929507072802811 V
###########
I : 21.5
PEM Efficiency : 0.5716906030505862 
Power : 19.174502826316658 W
Power-Stack : 19.174502826316658 W
Power-Thermal : 7.2704971736833395 W
VStack : 0.8918373407589144 V
Vcell : 0.8918373407589144 V
###########
I : 21.6
PEM Efficiency : 0.57097619680144 
Power : 19.239613927421324 W
Power-Stack : 19.239613927421324 W
Power-Thermal : 7.328386072578678 W
VStack : 0.8907228670102464 V
Vcell : 0.8907228670102464 V
###########
I : 21.7
PEM Efficiency : 0.5702610401921416 
Power : 19.30447673258438 W
Power-Stack : 19.30447673258438 W
Power-Thermal : 7.386523267415619 W
VStack : 0.889607222699741 V
Vcell : 0.889607222699741 V
###########
I : 21.8
PEM Efficiency : 0.569545092139168 
Power : 19.369089493468827 W
Power-Stack : 19.369089493468827 W
Power-Thermal : 7.444910506531174 W
VStack : 0.8884903437371021 V
Vcell : 0.8884903437371021 V
###########
I : 21.9
PEM Efficiency : 0.5688283110607408 
Power : 19.433450419079147 W
Power-Stack : 19.433450419079147 W
Power-Thermal : 7.503549580920849 W
VStack : 0.8873721652547557 V
Vcell : 0.8873721652547557 V
###########
I : 22.0
PEM Efficiency : 0.5681106548628602 
Power : 19.49755767489336 W
Power-Stack : 19.49755767489336 W
Power-Thermal : 7.562442325106638 W
VStack : 0.8862526215860619 V
Vcell : 0.8862526215860619 V
###########
I : 22.1
PEM Efficiency : 0.5673920809251647 
Power : 19.56140938197598 W
Power-Stack : 19.56140938197598 W
Power-Thermal : 7.62159061802402 W
VStack : 0.885131646243257 V
Vcell : 0.885131646243257 V
###########
I : 22.2
PEM Efficiency : 0.5666725460866103 
Power : 19.62500361607149 W
Power-Stack : 19.62500361607149 W
Power-Thermal : 7.680996383928509 W
VStack : 0.8840091718951122 V
Vcell : 0.8840091718951122 V
###########
I : 22.3
PEM Efficiency : 0.5659520066309609 
Power : 19.688338406677868 W
Power-Stack : 19.688338406677868 W
Power-Thermal : 7.740661593322131 W
VStack : 0.882885130344299 V
Vcell : 0.882885130344299 V
###########
I : 22.4
PEM Efficiency : 0.5652304182720874 
Power : 19.751411736099822 W
Power-Stack : 19.751411736099822 W
Power-Thermal : 7.800588263900175 W
VStack : 0.8817594525044564 V
Vcell : 0.8817594525044564 V
###########
I : 22.5
PEM Efficiency : 0.5645077361390695 
Power : 19.814221538481338 W
Power-Stack : 19.814221538481338 W
Power-Thermal : 7.86077846151866 W
VStack : 0.8806320683769484 V
Vcell : 0.8806320683769484 V
###########
I : 22.6
PEM Efficiency : 0.5637839147610911 
Power : 19.87676569881703 W
Power-Stack : 19.87676569881703 W
Power-Thermal : 7.9212343011829685 W
VStack : 0.8795029070273023 V
Vcell : 0.8795029070273023 V
###########
I : 22.7
PEM Efficiency : 0.5630589080521282 
Power : 19.939042051941964 W
Power-Stack : 19.939042051941964 W
Power-Thermal : 7.981957948058033 W
VStack : 0.8783718965613201 V
Vcell : 0.8783718965613201 V
###########
I : 22.8
PEM Efficiency : 0.5623326692954187 
Power : 20.001048381499455 W
Power-Stack : 20.001048381499455 W
Power-Thermal : 8.042951618500547 W
VStack : 0.8772389641008532 V
Vcell : 0.8772389641008532 V
###########
I : 22.9
PEM Efficiency : 0.5616051511277121 
Power : 20.062782418886385 W
Power-Stack : 20.062782418886385 W
Power-Thermal : 8.10421758111361 W
VStack : 0.8761040357592309 V
Vcell : 0.8761040357592309 V
###########
I : 23.0
PEM Efficiency : 0.5608763055232909 
Power : 20.124241842175678 W
Power-Stack : 20.124241842175678 W
Power-Thermal : 8.165758157824323 W
VStack : 0.8749670366163338 V
Vcell : 0.8749670366163338 V
###########
I : 23.1
PEM Efficiency : 0.5601460837777572 
Power : 20.18542427501526 W
Power-Stack : 20.18542427501526 W
Power-Thermal : 8.22757572498474 W
VStack : 0.8738278906933012 V
Vcell : 0.8738278906933012 V
###########
I : 23.2
PEM Efficiency : 0.5594144364915806 
Power : 20.246327285503284 W
Power-Stack : 20.246327285503284 W
Power-Thermal : 8.289672714496715 W
VStack : 0.8726865209268657 V
Vcell : 0.8726865209268657 V
###########
I : 23.3
PEM Efficiency : 0.5586813135533986 
Power : 20.306948385038933 W
Power-Stack : 20.306948385038933 W
Power-Thermal : 8.352051614961068 W
VStack : 0.8715428491433018 V
Vcell : 0.8715428491433018 V
###########
I : 23.4
PEM Efficiency : 0.557946664123065 
Power : 20.367285027148366 W
Power-Stack : 20.367285027148366 W
Power-Thermal : 8.414714972851632 W
VStack : 0.8703967960319815 V
Vcell : 0.8703967960319815 V
###########
I : 23.5
PEM Efficiency : 0.557210436614439 
Power : 20.427334606285335 W
Power-Stack : 20.427334606285335 W
Power-Thermal : 8.477665393714664 W
VStack : 0.8692482811185249 V
Vcell : 0.8692482811185249 V
###########
I : 23.6
PEM Efficiency : 0.556472578677909 
Power : 20.4870944566059 W
Power-Stack : 20.4870944566059 W
Power-Thermal : 8.540905543394103 W
VStack : 0.868097222737538 V
Vcell : 0.868097222737538 V
###########
I : 23.7
PEM Efficiency : 0.5557330371826439 
Power : 20.54656185071671 W
Power-Stack : 20.54656185071671 W
Power-Thermal : 8.604438149283288 W
VStack : 0.8669435380049245 V
Vcell : 0.8669435380049245 V
###########
I : 23.8
PEM Efficiency : 0.5549917581985673 
Power : 20.605733998396406 W
Power-Stack : 20.605733998396406 W
Power-Thermal : 8.668266001603596 W
VStack : 0.8657871427897649 V
Vcell : 0.8657871427897649 V
###########
I : 23.9
PEM Efficiency : 0.5542486869780432 
Power : 20.664608045289363 W
Power-Stack : 20.664608045289363 W
Power-Thermal : 8.732391954710634 W
VStack : 0.8646279516857475 V
Vcell : 0.8646279516857475 V
###########
I : 24.0
PEM Efficiency : 0.553503767937274 
Power : 20.72318107157154 W
Power-Stack : 20.72318107157154 W
Power-Thermal : 8.796818928428461 W
VStack : 0.8634658779821475 V
Vcell : 0.8634658779821475 V
###########
I : 24.1
PEM Efficiency : 0.5527569446373951 
Power : 20.78145009058751 W
Power-Stack : 20.78145009058751 W
Power-Thermal : 8.861549909412492 W
VStack : 0.8623008336343364 V
Vcell : 0.8623008336343364 V
###########
I : 24.2
PEM Efficiency : 0.5520081597652664 
Power : 20.839412047458335 W
Power-Stack : 20.839412047458335 W
Power-Thermal : 8.926587952541663 W
VStack : 0.8611327292338156 V
Vcell : 0.8611327292338156 V
###########
I : 24.3
PEM Efficiency : 0.5512573551139495 
Power : 20.8970638176596 W
Power-Stack : 20.8970638176596 W
Power-Thermal : 8.991936182340401 W
VStack : 0.8599614739777612 V
Vcell : 0.8599614739777612 V
###########
I : 24.4
PEM Efficiency : 0.5505044715628651 
Power : 20.954402205568893 W
Power-Stack : 20.954402205568893 W
Power-Thermal : 9.057597794431103 W
VStack : 0.8587869756380695 V
Vcell : 0.8587869756380695 V
###########
I : 24.5
PEM Efficiency : 0.5497494490576215 
Power : 21.011423942982294 W
Power-Stack : 21.011423942982294 W
Power-Thermal : 9.123576057017704 W
VStack : 0.8576091405298896 V
Vcell : 0.8576091405298896 V
###########
I : 24.6
PEM Efficiency : 0.5489922265895106 
Power : 21.06812568759906 W
Power-Stack : 21.06812568759906 W
Power-Thermal : 9.18987431240094 W
VStack : 0.8564278734796366 V
Vcell : 0.8564278734796366 V
###########
I : 24.7
PEM Efficiency : 0.5482327421746593 
Power : 21.124504021473975 W
Power-Stack : 21.124504021473975 W
Power-Thermal : 9.256495978526024 W
VStack : 0.8552430777924687 V
Vcell : 0.8552430777924687 V
###########
I : 24.8
PEM Efficiency : 0.5474709328328312 
Power : 21.18055544943657 W
Power-Stack : 21.18055544943657 W
Power-Thermal : 9.323444550563428 W
VStack : 0.8540546552192166 V
Vcell : 0.8540546552192166 V
###########
I : 24.9
PEM Efficiency : 0.5467067345658708 
Power : 21.236276397476686 W
Power-Stack : 21.236276397476686 W
Power-Thermal : 9.39072360252331 W
VStack : 0.8528625059227586 V
Vcell : 0.8528625059227586 V
###########
I : 25.0
PEM Efficiency : 0.5459400823357831 
Power : 21.29166321109554 W
Power-Stack : 21.29166321109554 W
Power-Thermal : 9.45833678890446 W
VStack : 0.8516665284438216 V
Vcell : 0.8516665284438216 V
###########
I : 25.1
PEM Efficiency : 0.5451709100424359 
Power : 21.346712153621624 W
Power-Stack : 21.346712153621624 W
Power-Thermal : 9.526287846378379 W
VStack : 0.8504666196662001 V
Vcell : 0.8504666196662001 V
###########
I : 25.2
PEM Efficiency : 0.544399150500885 
Power : 21.401419404490795 W
Power-Stack : 21.401419404490795 W
Power-Thermal : 9.594580595509205 W
VStack : 0.8492626747813807 V
Vcell : 0.8492626747813807 V
###########
I : 25.3
PEM Efficiency : 0.5436247354183059 
Power : 21.455781057489702 W
Power-Stack : 21.455781057489702 W
Power-Thermal : 9.6632189425103 W
VStack : 0.8480545872525573 V
Vcell : 0.8480545872525573 V
###########
I : 25.4
PEM Efficiency : 0.5428475953705286 
Power : 21.509793118961827 W
Power-Stack : 21.509793118961827 W
Power-Thermal : 9.732206881038172 W
VStack : 0.8468422487780247 V
Vcell : 0.8468422487780247 V
###########
I : 25.5
PEM Efficiency : 0.5420676597781651 
Power : 21.563451505975408 W
Power-Stack : 21.563451505975408 W
Power-Thermal : 9.801548494024592 W
VStack : 0.8456255492539375 V
Vcell : 0.8456255492539375 V
###########
I : 25.6
PEM Efficiency : 0.5412848568823208 
Power : 21.61675204445236 W
Power-Stack : 21.61675204445236 W
Power-Thermal : 9.87124795554764 W
VStack : 0.8444043767364203 V
Vcell : 0.8444043767364203 V
###########
I : 25.7
PEM Efficiency : 0.540499113719883 
Power : 21.66969046725755 W
Power-Stack : 21.66969046725755 W
Power-Thermal : 9.94130953274245 W
VStack : 0.8431786174030175 V
Vcell : 0.8431786174030175 V
###########
I : 25.8
PEM Efficiency : 0.539710356098375 
Power : 21.7222624122474 W
Power-Stack : 21.7222624122474 W
Power-Thermal : 10.011737587752599 W
VStack : 0.8419481555134651 V
Vcell : 0.8419481555134651 V
###########
I : 25.9
PEM Efficiency : 0.5389185085703682 
Power : 21.774463420277154 W
Power-Stack : 21.774463420277154 W
Power-Thermal : 10.082536579722841 W
VStack : 0.8407128733697744 V
Vcell : 0.8407128733697744 V
###########
I : 26.0
PEM Efficiency : 0.5381234944074416 
Power : 21.82628893316583 W
Power-Stack : 21.82628893316583 W
Power-Thermal : 10.153711066834168 W
VStack : 0.8394726512756089 V
Vcell : 0.8394726512756089 V
###########
I : 26.1
PEM Efficiency : 0.5373252355736818 
Power : 21.87773429161803 W
Power-Stack : 21.87773429161803 W
Power-Thermal : 10.22526570838197 W
VStack : 0.8382273674949436 V
Vcell : 0.8382273674949436 V
###########
I : 26.2
PEM Efficiency : 0.5365236526987126 
Power : 21.928794733101785 W
Power-Stack : 21.928794733101785 W
Power-Thermal : 10.297205266898215 W
VStack : 0.8369768982099918 V
Vcell : 0.8369768982099918 V
###########
I : 26.3
PEM Efficiency : 0.5357186650502425 
Power : 21.97946538968135 W
Power-Stack : 21.97946538968135 W
Power-Thermal : 10.36953461031865 W
VStack : 0.8357211174783783 V
Vcell : 0.8357211174783783 V
###########
I : 26.4
PEM Efficiency : 0.5349101905061233 
Power : 22.02974128580418 W
Power-Stack : 22.02974128580418 W
Power-Thermal : 10.442258714195816 W
VStack : 0.8344598971895524 V
Vcell : 0.8344598971895524 V
###########
I : 26.5
PEM Efficiency : 0.5340981455259091 
Power : 22.079617336041082 W
Power-Stack : 22.079617336041082 W
Power-Thermal : 10.515382663958919 W
VStack : 0.8331931070204182 V
Vcell : 0.8331931070204182 V
###########
I : 26.6
PEM Efficiency : 0.5332824451219031 
Power : 22.129088342778495 W
Power-Stack : 22.129088342778495 W
Power-Thermal : 10.588911657221505 W
VStack : 0.831920614390169 V
Vcell : 0.831920614390169 V
###########
I : 26.7
PEM Efficiency : 0.5324630028296857 
Power : 22.178148993862074 W
Power-Stack : 22.178148993862074 W
Power-Thermal : 10.662851006137926 W
VStack : 0.8306422844143099 V
Vcell : 0.8306422844143099 V
###########
I : 26.8
PEM Efficiency : 0.53163973067811 
Power : 22.226793860190423 W
Power-Stack : 22.226793860190423 W
Power-Thermal : 10.73720613980958 W
VStack : 0.8293579798578515 V
Vcell : 0.8293579798578515 V
###########
I : 26.9
PEM Efficiency : 0.5308125391587536 
Power : 22.275017393257933 W
Power-Stack : 22.275017393257933 W
Power-Thermal : 10.811982606742065 W
VStack : 0.8280675610876556 V
Vcell : 0.8280675610876556 V
###########
I : 27.0
PEM Efficiency : 0.5299813371948213 
Power : 22.322813922645878 W
Power-Stack : 22.322813922645878 W
Power-Thermal : 10.887186077354123 W
VStack : 0.8267708860239213 V
Vcell : 0.8267708860239213 V
###########
I : 27.1
PEM Efficiency : 0.52914603210948 
Power : 22.370177653460377 W
Power-Stack : 22.370177653460377 W
Power-Thermal : 10.962822346539623 W
VStack : 0.8254678100907888 V
Vcell : 0.8254678100907888 V
###########
I : 27.2
PEM Efficiency : 0.5283065295936187 
Power : 22.417102663716427 W
Power-Stack : 22.417102663716427 W
Power-Thermal : 11.03889733628357 W
VStack : 0.8241581861660452 V
Vcell : 0.8241581861660452 V
###########
I : 27.3
PEM Efficiency : 0.5274627336730222 
Power : 22.46358290166667 W
Power-Stack : 22.46358290166667 W
Power-Thermal : 11.115417098333332 W
VStack : 0.8228418645299146 V
Vcell : 0.8228418645299146 V
###########
I : 27.4
PEM Efficiency : 0.5266145466749447 
Power : 22.509612183073838 W
Power-Stack : 22.509612183073838 W
Power-Thermal : 11.19238781692616 W
VStack : 0.8215186928129138 V
Vcell : 0.8215186928129138 V
###########
I : 27.5
PEM Efficiency : 0.5257618691940743 
Power : 22.555184188425788 W
Power-Stack : 22.555184188425788 W
Power-Thermal : 11.269815811574214 W
VStack : 0.8201885159427559 V
Vcell : 0.8201885159427559 V
###########
I : 27.6
PEM Efficiency : 0.5249046000578711 
Power : 22.6002924600917 W
Power-Stack : 22.6002924600917 W
Power-Thermal : 11.3477075399083 W
VStack : 0.818851176090279 V
Vcell : 0.818851176090279 V
###########
I : 27.7
PEM Efficiency : 0.5240426362912736 
Power : 22.644930399418513 W
Power-Stack : 22.644930399418513 W
Power-Thermal : 11.426069600581485 W
VStack : 0.8175065126143868 V
Vcell : 0.8175065126143868 V
###########
I : 27.8
PEM Efficiency : 0.5231758730807534 
Power : 22.689091263766116 W
Power-Stack : 22.689091263766116 W
Power-Thermal : 11.504908736233885 W
VStack : 0.8161543620059754 V
Vcell : 0.8161543620059754 V
###########
I : 27.9
PEM Efficiency : 0.522304203737712 
Power : 22.732768163480177 W
Power-Stack : 22.732768163480177 W
Power-Thermal : 11.584231836519821 W
VStack : 0.8147945578308308 V
Vcell : 0.8147945578308308 V
###########
I : 28.0
PEM Efficiency : 0.5214275196612004 
Power : 22.775954058801233 W
Power-Stack : 22.775954058801233 W
Power-Thermal : 11.664045941198768 W
VStack : 0.8134269306714725 V
Vcell : 0.8134269306714725 V
###########
I : 28.1
PEM Efficiency : 0.5205457102999536 
Power : 22.818641756708764 W
Power-Stack : 22.818641756708764 W
Power-Thermal : 11.744358243291234 W
VStack : 0.8120513080679276 V
Vcell : 0.8120513080679276 V
###########
I : 28.2
PEM Efficiency : 0.5196586631137229 
Power : 22.860823907698897 W
Power-Stack : 22.860823907698897 W
Power-Thermal : 11.825176092301103 W
VStack : 0.8106675144574077 V
Vcell : 0.8106675144574077 V
###########
I : 28.3
PEM Efficiency : 0.5187662635338937 
Power : 22.902493002494335 W
Power-Stack : 22.902493002494335 W
Power-Thermal : 11.906506997505664 W
VStack : 0.8092753711128741 V
Vcell : 0.8092753711128741 V
###########
I : 28.4
PEM Efficiency : 0.5178683949233732 
Power : 22.943641368685128 W
Power-Stack : 22.943641368685128 W
Power-Thermal : 11.98835863131487 W
VStack : 0.8078746960804623 V
Vcell : 0.8078746960804623 V
###########
I : 28.5
PEM Efficiency : 0.5169649385357372 
Power : 22.98426116729888 W
Power-Stack : 22.98426116729888 W
Power-Thermal : 12.070738832701121 W
VStack : 0.8064653041157501 V
Vcell : 0.8064653041157501 V
###########
I : 28.6
PEM Efficiency : 0.5160557734736161 
Power : 23.024344389298857 W
Power-Stack : 23.024344389298857 W
Power-Thermal : 12.153655610701145 W
VStack : 0.8050470066188411 V
Vcell : 0.8050470066188411 V
###########
I : 28.7
PEM Efficiency : 0.5151407766463099 
Power : 23.063882852008586 W
Power-Stack : 23.063882852008586 W
Power-Thermal : 12.237117147991412 W
VStack : 0.8036196115682435 V
Vcell : 0.8036196115682435 V
###########
I : 28.8
PEM Efficiency : 0.5142198227266149 
Power : 23.102868195461355 W
Power-Stack : 23.102868195461355 W
Power-Thermal : 12.321131804538645 W
VStack : 0.8021829234535193 V
Vcell : 0.8021829234535193 V
###########
I : 28.9
PEM Efficiency : 0.5132927841068469 
Power : 23.141291878673087 W
Power-Stack : 23.141291878673087 W
Power-Thermal : 12.405708121326912 W
VStack : 0.8007367432066812 V
Vcell : 0.8007367432066812 V
###########
I : 29.0
PEM Efficiency : 0.5123595308540451 
Power : 23.179145175836997 W
Power-Stack : 23.179145175836997 W
Power-Thermal : 12.490854824163002 W
VStack : 0.7992808681323103 V
Vcell : 0.7992808681323103 V
###########
I : 29.1
PEM Efficiency : 0.5114199306643407 
Power : 23.216419172438407 W
Power-Stack : 23.216419172438407 W
Power-Thermal : 12.576580827561594 W
VStack : 0.7978150918363713 V
Vcell : 0.7978150918363713 V
###########
I : 29.2
PEM Efficiency : 0.5104738488164757 
Power : 23.2531047612881 W
Power-Stack : 23.2531047612881 W
Power-Thermal : 12.662895238711899 W
VStack : 0.7963392041537021 V
Vcell : 0.7963392041537021 V
###########
I : 29.3
PEM Efficiency : 0.5095211481244507 
Power : 23.289192638472393 W
Power-Stack : 23.289192638472393 W
Power-Thermal : 12.749807361527607 W
VStack : 0.7948529910741431 V
Vcell : 0.7948529910741431 V
###########
I : 29.4
PEM Efficiency : 0.5085616888892909 
Power : 23.324673299218436 W
Power-Stack : 23.324673299218436 W
Power-Thermal : 12.837326700781562 W
VStack : 0.7933562346672938 V
Vcell : 0.7933562346672938 V
###########
I : 29.5
PEM Efficiency : 0.5075953288499082 
Power : 23.35953703367278 W
Power-Stack : 23.35953703367278 W
Power-Thermal : 12.92546296632722 W
VStack : 0.7918487130058569 V
Vcell : 0.7918487130058569 V
###########
I : 29.6
PEM Efficiency : 0.5066219231330438 
Power : 23.393773922591432 W
Power-Stack : 23.393773922591432 W
Power-Thermal : 13.014226077408571 W
VStack : 0.7903302000875483 V
Vcell : 0.7903302000875483 V
###########
I : 29.7
PEM Efficiency : 0.505641324202273 
Power : 23.427373832939715 W
Power-Stack : 23.427373832939715 W
Power-Thermal : 13.103626167060284 W
VStack : 0.788800465755546 V
Vcell : 0.788800465755546 V
###########
I : 29.8
PEM Efficiency : 0.5046533818060553 
Power : 23.4603264133999 W
Power-Stack : 23.4603264133999 W
Power-Thermal : 13.193673586600099 W
VStack : 0.7872592756174464 V
Vcell : 0.7872592756174464 V
###########
I : 29.9
PEM Efficiency : 0.5036579429248091 
Power : 23.492621089784798 W
Power-Stack : 23.492621089784798 W
Power-Thermal : 13.2843789102152 W
VStack : 0.7857063909627023 V
Vcell : 0.7857063909627023 V
###########
I : 30.0
PEM Efficiency : 0.5026548517169935 
Power : 23.524247060355297 W
Power-Stack : 23.524247060355297 W
Power-Thermal : 13.375752939644702 W
VStack : 0.7841415686785099 V
Vcell : 0.7841415686785099 V
###########
I : 30.1
PEM Efficiency : 0.5016439494641773 
Power : 23.555193291039913 W
Power-Stack : 23.555193291039913 W
Power-Thermal : 13.467806708960088 W
VStack : 0.7825645611641167 V
Vcell : 0.7825645611641167 V
###########
I : 30.2
PEM Efficiency : 0.5006250745150765 
Power : 23.585448510554286 W
Power-Stack : 23.585448510554286 W
Power-Thermal : 13.56055148944571 W
VStack : 0.7809751162435195 V
Vcell : 0.7809751162435195 V
###########
I : 30.3
PEM Efficiency : 0.4995980622285398 
Power : 23.61500120541862 W
Power-Stack : 23.61500120541862 W
Power-Thermal : 13.65399879458138 W
VStack : 0.7793729770765221 V
Vcell : 0.7793729770765221 V
###########
I : 30.4
PEM Efficiency : 0.49856274491546 
Power : 23.643839614870775 W
Power-Stack : 23.643839614870775 W
Power-Thermal : 13.748160385129225 W
VStack : 0.7777578820681176 V
Vcell : 0.7777578820681176 V
###########
I : 30.5
PEM Efficiency : 0.49751895177959454 
Power : 23.67195172567311 W
Power-Stack : 23.67195172567311 W
Power-Thermal : 13.843048274326888 W
VStack : 0.7761295647761676 V
Vcell : 0.7761295647761676 V
###########
I : 30.6
PEM Efficiency : 0.4964665088572704 
Power : 23.699325266810664 W
Power-Stack : 23.699325266810664 W
Power-Thermal : 13.938674733189337 W
VStack : 0.7744877538173419 V
Vcell : 0.7744877538173419 V
###########
I : 30.7
PEM Efficiency : 0.4954052389559531 
Power : 23.725947704078507 W
Power-Stack : 23.725947704078507 W
Power-Thermal : 14.03505229592149 W
VStack : 0.7728321727712869 V
Vcell : 0.7728321727712869 V
###########
I : 30.8
PEM Efficiency : 0.4943349615916582 
Power : 23.751806234555993 W
Power-Stack : 23.751806234555993 W
Power-Thermal : 14.132193765444006 W
VStack : 0.7711625400829868 V
Vcell : 0.7711625400829868 V
###########
I : 30.9
PEM Efficiency : 0.49325549292518334 
Power : 23.776887780965538 W
Power-Stack : 23.776887780965538 W
Power-Thermal : 14.23011221903446 W
VStack : 0.769478568963286 V
Vcell : 0.769478568963286 V
###########
I : 31.0
PEM Efficiency : 0.49216664569713586 
Power : 23.80117898591349 W
Power-Stack : 23.80117898591349 W
Power-Thermal : 14.32882101408651 W
VStack : 0.767779967287532 V
Vcell : 0.767779967287532 V
###########
I : 31.1
PEM Efficiency : 0.49106822916173604 
Power : 23.82466620601079 W
Power-Stack : 23.82466620601079 W
Power-Thermal : 14.428333793989212 W
VStack : 0.7660664374923083 V
Vcell : 0.7660664374923083 V
###########
I : 31.2
PEM Efficiency : 0.4899600490193692 
Power : 23.84733550587074 W
Power-Stack : 23.84733550587074 W
Power-Thermal : 14.52866449412926 W
VStack : 0.764337676470216 V
Vcell : 0.764337676470216 V
###########
I : 31.3
PEM Efficiency : 0.4888419073478655 
Power : 23.869172651981575 W
Power-Stack : 23.869172651981575 W
Power-Thermal : 14.629827348018424 W
VStack : 0.7625933754626701 V
Vcell : 0.7625933754626701 V
###########
I : 31.4
PEM Efficiency : 0.4877136025324792 
Power : 23.89016310645096 W
Power-Stack : 23.89016310645096 W
Power-Thermal : 14.731836893549037 W
VStack : 0.7608332199506675 V
Vcell : 0.7608332199506675 V
###########
I : 31.5
PEM Efficiency : 0.4865749291945478 
Power : 23.91029202062008 W
Power-Stack : 23.91029202062008 W
Power-Thermal : 14.83470797937992 W
VStack : 0.7590568895434946 V
Vcell : 0.7590568895434946 V
###########
I : 31.6
PEM Efficiency : 0.4854256781187993 
Power : 23.92954422854433 W
Power-Stack : 23.92954422854433 W
Power-Thermal : 14.93845577145567 W
VStack : 0.7572640578653269 V
Vcell : 0.7572640578653269 V
###########
I : 31.7
PEM Efficiency : 0.4842656361792864 
Power : 23.947904240338072 W
Power-Stack : 23.947904240338072 W
Power-Thermal : 15.043095759661927 W
VStack : 0.7554543924396868 V
Vcell : 0.7554543924396868 V
###########
I : 31.8
PEM Efficiency : 0.48309458626391927 
Power : 23.965356235380508 W
Power-Stack : 23.965356235380508 W
Power-Thermal : 15.148643764619493 W
VStack : 0.753627554571714 V
Vcell : 0.753627554571714 V
###########
I : 31.9
PEM Efficiency : 0.48191230719757006 
Power : 23.981884055379876 W
Power-Stack : 23.981884055379876 W
Power-Thermal : 15.25511594462012 W
VStack : 0.7517831992282094 V
Vcell : 0.7517831992282094 V
###########
I : 32.0
PEM Efficiency : 0.48071857366372195 
Power : 23.997471197293002 W
Power-Stack : 23.997471197293002 W
Power-Thermal : 15.362528802706997 W
VStack : 0.7499209749154063 V
Vcell : 0.7499209749154063 V
###########
I : 32.1
PEM Efficiency : 0.47951315612463496 
Power : 24.012100806097223 W
Power-Stack : 24.012100806097223 W
Power-Thermal : 15.470899193902778 W
VStack : 0.7480405235544306 V
Vcell : 0.7480405235544306 V
###########
I : 32.2
PEM Efficiency : 0.47829582073999877 
Power : 24.02575566741162 W
Power-Stack : 24.02575566741162 W
Power-Thermal : 15.580244332588382 W
VStack : 0.7461414803543981 V
Vcell : 0.7461414803543981 V
###########
I : 32.3
PEM Efficiency : 0.47706632928404535 
Power : 24.03841819996448 W
Power-Stack : 24.03841819996448 W
Power-Thermal : 15.690581800035519 W
VStack : 0.7442234736831108 V
Vcell : 0.7442234736831108 V
###########
I : 32.4
PEM Efficiency : 0.4758244390610915 
Power : 24.05007044790381 W
Power-Stack : 24.05007044790381 W
Power-Thermal : 15.801929552096189 W
VStack : 0.7422861249353028 V
Vcell : 0.7422861249353028 V
###########
I : 32.5
PEM Efficiency : 0.4745699028194791 
Power : 24.060694072947587 W
Power-Stack : 24.060694072947587 W
Power-Thermal : 15.914305927052412 W
VStack : 0.7403290483983873 V
Vcell : 0.7403290483983873 V
###########
I : 32.6
PEM Efficiency : 0.4733024686638842 
Power : 24.070270346370496 W
Power-Stack : 24.070270346370496 W
Power-Thermal : 16.027729653629503 W
VStack : 0.7383518511156594 V
Vcell : 0.7383518511156594 V
###########
I : 32.7
PEM Efficiency : 0.47202187996596495 
Power : 24.078780140823806 W
Power-Stack : 24.078780140823806 W
Power-Thermal : 16.142219859176198 W
VStack : 0.7363541327469053 V
Vcell : 0.7363541327469053 V
###########
I : 32.8
PEM Efficiency : 0.4707278752733123 
Power : 24.08620392198484 W
Power-Stack : 24.08620392198484 W
Power-Thermal : 16.257796078015154 W
VStack : 0.7343354854263672 V
Vcell : 0.7343354854263672 V
###########
I : 32.9
PEM Efficiency : 0.46942018821667514 
Power : 24.092521740032634 W
Power-Stack : 24.092521740032634 W
Power-Thermal : 16.37447825996736 W
VStack : 0.7322954936180133 V
Vcell : 0.7322954936180133 V
###########
I : 33.0
PEM Efficiency : 0.4680985474154249 
Power : 24.097713220946076 W
Power-Stack : 24.097713220946076 W
Power-Thermal : 16.492286779053924 W
VStack : 0.7302337339680629 V
Vcell : 0.7302337339680629 V
###########
I : 33.1
PEM Efficiency : 0.4667626763812258 
Power : 24.10175755762098 W
Power-Stack : 24.10175755762098 W
Power-Thermal : 16.61124244237902 W
VStack : 0.7281497751547124 V
Vcell : 0.7281497751547124 V
###########
I : 33.2
PEM Efficiency : 0.46541229341987617 
Power : 24.10463350080223 W
Power-Stack : 24.10463350080223 W
Power-Thermal : 16.731366499197776 W
VStack : 0.7260431777350068 V
Vcell : 0.7260431777350068 V
###########
I : 33.3
PEM Efficiency : 0.4640471115312872 
Power : 24.106319349827306 W
Power-Stack : 24.106319349827306 W
Power-Thermal : 16.85268065017269 W
VStack : 0.723913493988808 V
Vcell : 0.723913493988808 V
###########
I : 33.4
PEM Efficiency : 0.4626668383075613 
Power : 24.106792943177172 W
Power-Stack : 24.106792943177172 W
Power-Thermal : 16.975207056822825 W
VStack : 0.7217602677597956 V
Vcell : 0.7217602677597956 V
###########
I : 33.5
PEM Efficiency : 0.46127117582913685 
Power : 24.106031648830694 W
Power-Stack : 24.106031648830694 W
Power-Thermal : 17.098968351169308 W
VStack : 0.7195830342934535 V
Vcell : 0.7195830342934535 V
###########
I : 33.6
PEM Efficiency : 0.45985982055895774 
Power : 24.10401235441833 W
Power-Stack : 24.10401235441833 W
Power-Thermal : 17.223987645581673 W
VStack : 0.7173813200719741 V
Vcell : 0.7173813200719741 V
###########
I : 33.7
PEM Efficiency : 0.45843246323463405 
Power : 24.100711457171183 W
Power-Stack : 24.100711457171183 W
Power-Thermal : 17.35028854282882 W
VStack : 0.7151546426460291 V
Vcell : 0.7151546426460291 V
###########
I : 33.8
PEM Efficiency : 0.45698878875855353 
Power : 24.096104853661007 W
Power-Stack : 24.096104853661007 W
Power-Thermal : 17.477895146338987 W
VStack : 0.7129025104633435 V
Vcell : 0.7129025104633435 V
###########
I : 33.9
PEM Efficiency : 0.4555284760859038 
Power : 24.090167929326935 W
Power-Stack : 24.090167929326935 W
Power-Thermal : 17.60683207067306 W
VStack : 0.7106244226940099 V
Vcell : 0.7106244226940099 V
###########
I : 34.0
PEM Efficiency : 0.45405119811056877 
Power : 24.082875547784568 W
Power-Stack : 24.082875547784568 W
Power-Thermal : 17.737124452215433 W
VStack : 0.7083198690524872 V
Vcell : 0.7083198690524872 V
###########
I : 34.1
PEM Efficiency : 0.45255662154885345 
Power : 24.07420203991281 W
Power-Stack : 24.07420203991281 W
Power-Thermal : 17.868797960087193 W
VStack : 0.7059883296162114 V
Vcell : 0.7059883296162114 V
###########
I : 34.2
PEM Efficiency : 0.4510444068209996 
Power : 24.064121192713973 W
Power-Stack : 24.064121192713973 W
Power-Thermal : 18.00187880728603 W
VStack : 0.7036292746407594 V
Vcell : 0.7036292746407594 V
###########
I : 34.3
PEM Efficiency : 0.4495142079304494 
Power : 24.052606237942484 W
Power-Stack : 24.052606237942484 W
Power-Thermal : 18.13639376205751 W
VStack : 0.7012421643715011 V
Vcell : 0.7012421643715011 V
###########
I : 34.4
PEM Efficiency : 0.44796567234081097 
Power : 24.03962984049728 W
Power-Stack : 24.03962984049728 W
Power-Thermal : 18.272370159502717 W
VStack : 0.6988264488516651 V
Vcell : 0.6988264488516651 V
###########
I : 34.5
PEM Efficiency : 0.4463984408504871 
Power : 24.025164086573216 W
Power-Stack : 24.025164086573216 W
Power-Thermal : 18.409835913426786 W
VStack : 0.6963815677267599 V
Vcell : 0.6963815677267599 V
###########
I : 34.6
PEM Efficiency : 0.4448121474649166 
Power : 24.00918047156634 W
Power-Stack : 24.00918047156634 W
Power-Thermal : 18.54881952843366 W
VStack : 0.6939069500452699 V
Vcell : 0.6939069500452699 V
###########
I : 34.7
PEM Efficiency : 0.443206419266388 
Power : 23.99164988772812 W
Power-Stack : 23.99164988772812 W
Power-Thermal : 18.689350112271885 W
VStack : 0.6914020140555653 V
Vcell : 0.6914020140555653 V
###########
I : 34.8
PEM Efficiency : 0.4415808762813748 
Power : 23.972542611563277 W
Power-Stack : 23.972542611563277 W
Power-Thermal : 18.83145738843672 W
VStack : 0.6888661669989448 V
Vcell : 0.6888661669989448 V
###########
I : 34.9
PEM Efficiency : 0.43993513134534695 
Power : 23.95182829096607 W
Power-Stack : 23.95182829096607 W
Power-Thermal : 18.975171709033926 W
VStack : 0.6862988048987413 V
Vcell : 0.6862988048987413 V
###########
I : 35.0
PEM Efficiency : 0.438268789965011 
Power : 23.929475932089606 W
Power-Stack : 23.929475932089606 W
Power-Thermal : 19.120524067910395 W
VStack : 0.6836993123454173 V
Vcell : 0.6836993123454173 V
###########
I : 35.1
PEM Efficiency : 0.43658145017792876 
Power : 23.905453885942666 W
Power-Stack : 23.905453885942666 W
Power-Thermal : 19.267546114057332 W
VStack : 0.6810670622775689 V
Vcell : 0.6810670622775689 V
###########
I : 35.2
PEM Efficiency : 0.4348727024094629 
Power : 23.879729834708428 W
Power-Stack : 23.879729834708428 W
Power-Thermal : 19.416270165291575 W
VStack : 0.6784014157587621 V
Vcell : 0.6784014157587621 V
###########
I : 35.3
PEM Efficiency : 0.433142129327001 
Power : 23.85227077777929 W
Power-Stack : 23.85227077777929 W
Power-Thermal : 19.566729222220708 W
VStack : 0.6757017217501216 V
Vcell : 0.6757017217501216 V
###########
I : 35.4
PEM Efficiency : 0.43138930569140566 
Power : 23.823043017502187 W
Power-Stack : 23.823043017502187 W
Power-Thermal : 19.71895698249781 W
VStack : 0.6729673168785929 V
Vcell : 0.6729673168785929 V
###########
I : 35.5
PEM Efficiency : 0.429613798205635 
Power : 23.792012144628064 W
Power-Stack : 23.792012144628064 W
Power-Thermal : 19.872987855371935 W
VStack : 0.6701975252007906 V
Vcell : 0.6701975252007906 V
###########
I : 35.6
PEM Efficiency : 0.4278151653604823 
Power : 23.75914302345975 W
Power-Stack : 23.75914302345975 W
Power-Thermal : 20.028856976540254 W
VStack : 0.6673916579623524 V
Vcell : 0.6673916579623524 V
###########
I : 35.7
PEM Efficiency : 0.42599295727738007 
Power : 23.72439977669185 W
Power-Stack : 23.72439977669185 W
Power-Thermal : 20.18660022330815 W
VStack : 0.6645490133527129 V
Vcell : 0.6645490133527129 V
###########
I : 35.8
PEM Efficiency : 0.42414671554820815 
Power : 23.687745769936328 W
Power-Stack : 23.687745769936328 W
Power-Thermal : 20.346254230063668 W
VStack : 0.6616688762552048 V
Vcell : 0.6616688762552048 V
###########
I : 35.9
PEM Efficiency : 0.4222759730720539 
Power : 23.649143595927303 W
Power-Stack : 23.649143595927303 W
Power-Thermal : 20.507856404072694 W
VStack : 0.658750517992404 V
Vcell : 0.658750517992404 V
###########
I : 36.0
PEM Efficiency : 0.420380253888863 
Power : 23.608555058398547 W
Power-Stack : 23.608555058398547 W
Power-Thermal : 20.67144494160145 W
VStack : 0.6557931960666263 V
Vcell : 0.6557931960666263 V
###########
I : 36.1
PEM Efficiency : 0.41845907300992385 
Power : 23.56594115562687 W
Power-Stack : 23.56594115562687 W
Power-Thermal : 20.83705884437313 W
VStack : 0.6527961538954812 V
Vcell : 0.6527961538954812 V
###########
I : 36.2
PEM Efficiency : 0.4165119362451197 
Power : 23.5212620636344 W
Power-Stack : 23.5212620636344 W
Power-Thermal : 21.004737936365604 W
VStack : 0.6497586205423866 V
Vcell : 0.6497586205423866 V
###########
I : 36.3
PEM Efficiency : 0.4145383400268956 
Power : 23.47447711904304 W
Power-Stack : 23.47447711904304 W
Power-Thermal : 21.174522880956953 W
VStack : 0.6466798104419571 V
Vcell : 0.6466798104419571 V
###########
I : 36.4
PEM Efficiency : 0.4125377712308684 
Power : 23.425544801573633 W
Power-Stack : 23.425544801573633 W
Power-Thermal : 21.346455198426366 W
VStack : 0.6435589231201547 V
Vcell : 0.6435589231201547 V
###########
I : 36.5
PEM Efficiency : 0.41050970699302197 
Power : 23.374422716182675 W
Power-Stack : 23.374422716182675 W
Power-Thermal : 21.520577283817325 W
VStack : 0.6403951429091144 V
Vcell : 0.6403951429091144 V
###########
I : 36.6
PEM Efficiency : 0.40845361452341905 
Power : 23.321067574829137 W
Power-Stack : 23.321067574829137 W
Power-Thermal : 21.696932425170868 W
VStack : 0.6371876386565337 V
Vcell : 0.6371876386565337 V
###########
I : 36.7
PEM Efficiency : 0.4063689509163642 
Power : 23.265435177863687 W
Power-Stack : 23.265435177863687 W
Power-Thermal : 21.87556482213632 W
VStack : 0.6339355634295282 V
Vcell : 0.6339355634295282 V
###########
I : 36.8
PEM Efficiency : 0.40425516295695135 
Power : 23.20748039503266 W
Power-Stack : 23.20748039503266 W
Power-Thermal : 22.056519604967335 W
VStack : 0.6306380542128441 V
Vcell : 0.6306380542128441 V
###########
I : 36.9
PEM Efficiency : 0.40211168692392374 
Power : 23.147157146088745 W
Power-Stack : 23.147157146088745 W
Power-Thermal : 22.239842853911252 W
VStack : 0.627294231601321 V
Vcell : 0.627294231601321 V
###########
I : 37.0
PEM Efficiency : 0.3999379483887791 
Power : 23.08441838100033 W
Power-Stack : 23.08441838100033 W
Power-Thermal : 22.42558161899967 W
VStack : 0.6239031994864954 V
Vcell : 0.6239031994864954 V
###########
I : 37.1
PEM Efficiency : 0.3977333620110467 
Power : 23.01921605975134 W
Power-Stack : 23.01921605975134 W
Power-Thermal : 22.613783940248663 W
VStack : 0.6204640447372328 V
Vcell : 0.6204640447372328 V
###########
I : 37.2
PEM Efficiency : 0.3954973313296627 
Power : 22.95150113172299 W
Power-Stack : 22.95150113172299 W
Power-Thermal : 22.804498868277015 W
VStack : 0.6169758368742738 V
Vcell : 0.6169758368742738 V
###########
I : 37.3
PEM Efficiency : 0.3932292485503711 
Power : 22.881223514648994 W
Power-Stack : 22.881223514648994 W
Power-Thermal : 22.997776485351 W
VStack : 0.613437627738579 V
Vcell : 0.613437627738579 V
###########
I : 37.4
PEM Efficiency : 0.39092849432907284 
Power : 22.808332073135425 W
Power-Stack : 22.808332073135425 W
Power-Thermal : 23.193667926864574 W
VStack : 0.6098484511533536 V
Vcell : 0.6098484511533536 V
###########
I : 37.5
PEM Efficiency : 0.3885944375510447 
Power : 22.732774596736117 W
Power-Stack : 22.732774596736117 W
Power-Thermal : 23.39222540326388 W
VStack : 0.6062073225796298 V
Vcell : 0.6062073225796298 V
###########
I : 37.6
PEM Efficiency : 0.386226435105954 
Power : 22.65449777757484 W
Power-Stack : 22.65449777757484 W
Power-Thermal : 23.593502222425162 W
VStack : 0.6025132387652883 V
Vcell : 0.6025132387652883 V
###########
I : 37.7
PEM Efficiency : 0.3838238316585815 
Power : 22.5734471875045 W
Power-Stack : 22.5734471875045 W
Power-Thermal : 23.797552812495503 W
VStack : 0.5987651773873872 V
Vcell : 0.5987651773873872 V
###########
I : 37.8
PEM Efficiency : 0.38138595941517656 
Power : 22.48956725479413 W
Power-Stack : 22.48956725479413 W
Power-Thermal : 24.00443274520586 W
VStack : 0.5949620966876755 V
Vcell : 0.5949620966876755 V
###########
I : 37.9
PEM Efficiency : 0.3789121378853587 
Power : 22.40280124033395 W
Power-Stack : 22.40280124033395 W
Power-Thermal : 24.214198759666047 W
VStack : 0.5911029351011596 V
Vcell : 0.5911029351011596 V
###########
I : 38.0
PEM Efficiency : 0.37640167363948096 
Power : 22.31309121334843 W
Power-Stack : 22.31309121334843 W
Power-Thermal : 24.42690878665157 W
VStack : 0.5871866108775903 V
Vcell : 0.5871866108775903 V
###########
I : 38.1
PEM Efficiency : 0.37385386006136734 
Power : 22.22037802660743 W
Power-Stack : 22.22037802660743 W
Power-Thermal : 24.642621973392572 W
VStack : 0.583212021695733 V
Vcell : 0.583212021695733 V
###########
I : 38.2
PEM Efficiency : 0.3712679770963385 
Power : 22.124601291125007 W
Power-Stack : 22.124601291125007 W
Power-Thermal : 24.861398708874997 W
VStack : 0.5791780442702881 V
Vcell : 0.5791780442702881 V
###########
I : 38.3
PEM Efficiency : 0.36864329099443194 
Power : 22.02569935033532 W
Power-Stack : 22.02569935033532 W
Power-Thermal : 25.08330064966468 W
VStack : 0.5750835339513138 V
Vcell : 0.5750835339513138 V
###########
I : 38.4
PEM Efficiency : 0.3659790540487298 
Power : 21.923609253735112 W
Power-Stack : 21.923609253735112 W
Power-Thermal : 25.308390746264887 W
VStack : 0.5709273243160186 V
Vcell : 0.5709273243160186 V
###########
I : 38.5
PEM Efficiency : 0.36327450432869623 
Power : 21.818266729981495 W
Power-Stack : 21.818266729981495 W
Power-Thermal : 25.536733270018505 W
VStack : 0.5667082267527661 V
Vcell : 0.5667082267527661 V
###########
I : 38.6
PEM Efficiency : 0.36052886540843176 
Power : 21.70960615943413 W
Power-Stack : 21.70960615943413 W
Power-Thermal : 25.76839384056587 W
VStack : 0.5624250300371536 V
Vcell : 0.5624250300371536 V
###########
I : 38.7
PEM Efficiency : 0.3577413460897474 
Power : 21.597560546130232 W
Power-Stack : 21.597560546130232 W
Power-Thermal : 26.00343945386977 W
VStack : 0.558076499900006 V
Vcell : 0.558076499900006 V
###########
I : 38.8
PEM Efficiency : 0.35491114011995817 
Power : 21.48206148918083 W
Power-Stack : 21.48206148918083 W
Power-Thermal : 26.241938510819168 W
VStack : 0.5536613785871348 V
Vcell : 0.5536613785871348 V
###########
I : 38.9
PEM Efficiency : 0.3520374259042962 
Power : 21.36303915357631 W
Power-Stack : 21.36303915357631 W
Power-Thermal : 26.483960846423688 W
VStack : 0.5491783844107021 V
Vcell : 0.5491783844107021 V
###########
I : 39.0
PEM Efficiency : 0.3491193662128428 
Power : 21.240422240389353 W
Power-Stack : 21.240422240389353 W
Power-Thermal : 26.729577759610645 W
VStack : 0.5446262112920347 V
Vcell : 0.5446262112920347 V
###########
I : 39.1
PEM Efficiency : 0.34615610788186824 
Power : 21.114137956362438 W
Power-Stack : 21.114137956362438 W
Power-Thermal : 26.978862043637562 W
VStack : 0.5400035282957145 V
Vcell : 0.5400035282957145 V
###########
I : 39.2
PEM Efficiency : 0.3431467815094832 
Power : 20.98411198286792 W
Power-Stack : 20.98411198286792 W
Power-Thermal : 27.231888017132086 W
VStack : 0.5353089791547938 V
Vcell : 0.5353089791547938 V
###########
I : 39.3
PEM Efficiency : 0.3400905011454807 
Power : 20.85026844422713 W
Power-Stack : 20.85026844422713 W
Power-Thermal : 27.48873155577287 W
VStack : 0.5305411817869499 V
Vcell : 0.5305411817869499 V
###########
I : 39.4
PEM Efficiency : 0.33698636397526843 
Power : 20.7125298753759 W
Power-Stack : 20.7125298753759 W
Power-Thermal : 27.749470124624096 W
VStack : 0.5256987278014188 V
Vcell : 0.5256987278014188 V
###########
I : 39.5
PEM Efficiency : 0.3338334499977725 
Power : 20.57081718886274 W
Power-Stack : 20.57081718886274 W
Power-Thermal : 28.014182811137257 W
VStack : 0.5207801819965251 V
Vcell : 0.5207801819965251 V
###########
I : 39.6
PEM Efficiency : 0.33063082169720026 
Power : 20.425049641166247 W
Power-Stack : 20.425049641166247 W
Power-Thermal : 28.282950358833755 W
VStack : 0.5157840818476325 V
Vcell : 0.5157840818476325 V
###########
I : 39.7
PEM Efficiency : 0.32737752370854234 
Power : 20.275144798317445 W
Power-Stack : 20.275144798317445 W
Power-Thermal : 28.555855201682558 W
VStack : 0.510708936985326 V
Vcell : 0.510708936985326 V
###########
I : 39.8
PEM Efficiency : 0.32407258247669735 
Power : 20.121018500813186 W
Power-Stack : 20.121018500813186 W
Power-Thermal : 28.832981499186808 W
VStack : 0.5055532286636479 V
Vcell : 0.5055532286636479 V
###########
I : 39.9
PEM Efficiency : 0.32071500590909624 
Power : 19.962584827805788 W
Power-Stack : 19.962584827805788 W
Power-Thermal : 29.11441517219421 W
VStack : 0.5003154092181902 V
Vcell : 0.5003154092181902 V
###########
I : 40.0
PEM Efficiency : 0.31730378302170126 
Power : 19.79975606055416 W
Power-Stack : 19.79975606055416 W
Power-Thermal : 29.400243939445836 W
VStack : 0.49499390151385403 V
Vcell : 0.49499390151385403 V
###########
I : 40.1
PEM Efficiency : 0.3138378835782566 
Power : 19.63244264512142 W
Power-Stack : 19.63244264512142 W
Power-Thermal : 29.69055735487858 W
VStack : 0.48958709838208025 V
Vcell : 0.48958709838208025 V
###########
I : 40.2
PEM Efficiency : 0.31031625772265503 
Power : 19.460553154303145 W
Power-Stack : 19.460553154303145 W
Power-Thermal : 29.985446845696856 W
VStack : 0.4840933620473419 V
Vcell : 0.4840933620473419 V
###########
I : 40.3
PEM Efficiency : 0.3067378356042974 
Power : 19.28399424877097 W
Power-Stack : 19.28399424877097 W
Power-Thermal : 30.285005751229026 W
VStack : 0.47851102354270403 V
Vcell : 0.47851102354270403 V
###########
I : 40.4
PEM Efficiency : 0.3031015269963055 
Power : 19.102670637415155 W
Power-Stack : 19.102670637415155 W
Power-Thermal : 30.58932936258484 W
VStack : 0.47283838211423657 V
Vcell : 0.47283838211423657 V
###########
I : 40.5
PEM Efficiency : 0.2994062209064542 
Power : 18.91648503686978 W
Power-Stack : 18.91648503686978 W
Power-Thermal : 30.89851496313022 W
VStack : 0.4670737046140686 V
Vcell : 0.4670737046140686 V
###########
I : 40.6
PEM Efficiency : 0.29565078518068333 
Power : 18.725338130203763 W
Power-Stack : 18.725338130203763 W
Power-Thermal : 31.21266186979624 W
VStack : 0.46121522488186606 V
Vcell : 0.46121522488186606 V
###########
I : 40.7
PEM Efficiency : 0.29183406609904783 
Power : 18.529128524760747 W
Power-Stack : 18.529128524760747 W
Power-Thermal : 31.531871475239257 W
VStack : 0.4552611431145146 V
Vcell : 0.4552611431145146 V
###########
I : 40.8
PEM Efficiency : 0.28795488796396157 
Power : 18.327752709130223 W
Power-Stack : 18.327752709130223 W
Power-Thermal : 31.85624729086977 W
VStack : 0.44920962522378005 V
Vcell : 0.44920962522378005 V
###########
I : 40.9
PEM Efficiency : 0.28401205268058766 
Power : 18.121105009232213 W
Power-Stack : 18.121105009232213 W
Power-Thermal : 32.18589499076778 W
VStack : 0.4430588021817167 V
Vcell : 0.4430588021817167 V
###########
I : 41.0
PEM Efficiency : 0.2800043393292277 
Power : 17.909077543497403 W
Power-Stack : 17.909077543497403 W
Power-Thermal : 32.520922456502596 W
VStack : 0.4368067693535952 V
Vcell : 0.4368067693535952 V
###########
I : 41.1
PEM Efficiency : 0.27593050372955186 
Power : 17.69156017712395 W
Power-Stack : 17.69156017712395 W
Power-Thermal : 32.86143982287605 W
VStack : 0.43045158581810095 V
Vcell : 0.43045158581810095 V
###########
I : 41.2
PEM Efficiency : 0.271789277996522 
Power : 17.468440475392466 W
Power-Stack : 17.468440475392466 W
Power-Thermal : 33.20755952460754 W
VStack : 0.4239912736745744 V
Vcell : 0.4239912736745744 V
###########
I : 41.3
PEM Efficiency : 0.2675793700878396 
Power : 17.23960365601933 W
Power-Stack : 17.23960365601933 W
Power-Thermal : 33.559396343980666 W
VStack : 0.4174238173370298 V
Vcell : 0.4174238173370298 V
###########
I : 41.4
PEM Efficiency : 0.26329946334276555 
Power : 17.00493254052917 W
Power-Stack : 17.00493254052917 W
Power-Thermal : 33.91706745947083 W
VStack : 0.41074716281471424 V
Vcell : 0.41074716281471424 V
###########
I : 41.5
PEM Efficiency : 0.25894821601214346 
Power : 16.764307504626167 W
Power-Stack : 16.764307504626167 W
Power-Thermal : 34.28069249537383 W
VStack : 0.4039592169789438 V
Vcell : 0.4039592169789438 V
###########
I : 41.6
PEM Efficiency : 0.25452426077945606 
Power : 16.51760642754358 W
Power-Stack : 16.51760642754358 W
Power-Thermal : 34.65039357245642 W
VStack : 0.3970578468159514 V
Vcell : 0.3970578468159514 V
###########
I : 41.7
PEM Efficiency : 0.25002620427275035 
Power : 16.264704640350956 W
Power-Stack : 16.264704640350956 W
Power-Thermal : 35.02629535964905 W
VStack : 0.39004087866549053 V
Vcell : 0.39004087866549053 V
###########
I : 41.8
PEM Efficiency : 0.24545262656724864 
Power : 16.005474873197148 W
Power-Stack : 16.005474873197148 W
Power-Thermal : 35.40852512680285 W
VStack : 0.3829060974449079 V
Vcell : 0.3829060974449079 V
###########
I : 41.9
PEM Efficiency : 0.24080208067847425 
Power : 15.739787201467792 W
Power-Stack : 15.739787201467792 W
Power-Thermal : 35.79721279853221 W
VStack : 0.37565124585841986 V
Vcell : 0.37565124585841986 V
###########
I : 42.0
PEM Efficiency : 0.2360730920457109 
Power : 15.467508990834979 W
Power-Stack : 15.467508990834979 W
Power-Thermal : 36.19249100916502 W
VStack : 0.368274023591309 V
Vcell : 0.368274023591309 V
###########
I : 42.1
PEM Efficiency : 0.23126415800560418 
Power : 15.188504841176062 W
Power-Stack : 15.188504841176062 W
Power-Thermal : 36.59449515882394 W
VStack : 0.36077208648874254 V
Vcell : 0.36077208648874254 V
###########
I : 42.2
PEM Efficiency : 0.22637374725572856 
Power : 14.902636529339125 W
Power-Stack : 14.902636529339125 W
Power-Thermal : 37.00336347066088 W
VStack : 0.35314304571893657 V
Vcell : 0.35314304571893657 V
###########
I : 42.3
PEM Efficiency : 0.22140029930791538 
Power : 14.60976295073072 W
Power-Stack : 14.60976295073072 W
Power-Thermal : 37.41923704926927 W
VStack : 0.345384466920348 V
Vcell : 0.345384466920348 V
###########
I : 42.4
PEM Efficiency : 0.21634222393115646 
Power : 14.309740059702413 W
Power-Stack : 14.309740059702413 W
Power-Thermal : 37.84225994029758 W
VStack : 0.3374938693326041 V
Vcell : 0.3374938693326041 V
###########
Report is generating ...
Done!
  • Notice : "Status", "V0", "K" and "EFF" , new in version 0.8
In [9]:
data_2=Static_Analysis(InputMethod=Test_Vector,TestMode=True,PrintMode=True,ReportMode=False)
###########
Chamberline-Kim-Model Simulation
###########
Analyzing . . .
Done!
  • Notice : "PrintMode" & "ReportMode" , new in version 0.5
In [10]:
Static_Analysis(InputMethod={},TestMode=True,PrintMode=False,ReportMode=True)
Out[10]:
{'Message': '[Error] Chamberline-Kim Simulation Failed!(Check Your Inputs)',
 'Status': False}
  • Notice:
  1. TestMode : Active test mode and get/return data as dict, (Default : False)
  2. ReportMode : Generate reports(.csv,.opem,.html) and print result in console, (Default : True)
  3. PrintMode : Control printing in console, (Default : True)

Plot

In [11]:
import sys
!{sys.executable} -m pip install matplotlib;
import matplotlib.pyplot as plt
Requirement already satisfied: matplotlib in c:\users\sepkjaer\appdata\local\programs\python\python35-32\lib\site-packages (2.2.2)
Requirement already satisfied: six>=1.10 in c:\users\sepkjaer\appdata\local\programs\python\python35-32\lib\site-packages (from matplotlib) (1.11.0)
Requirement already satisfied: python-dateutil>=2.1 in c:\users\sepkjaer\appdata\local\programs\python\python35-32\lib\site-packages (from matplotlib) (2.6.1)
Requirement already satisfied: kiwisolver>=1.0.1 in c:\users\sepkjaer\appdata\local\programs\python\python35-32\lib\site-packages (from matplotlib) (1.0.1)
Requirement already satisfied: numpy>=1.7.1 in c:\users\sepkjaer\appdata\local\programs\python\python35-32\lib\site-packages (from matplotlib) (1.15.2)
Requirement already satisfied: cycler>=0.10 in c:\users\sepkjaer\appdata\local\programs\python\python35-32\lib\site-packages (from matplotlib) (0.10.0)
Requirement already satisfied: pytz in c:\users\sepkjaer\appdata\local\programs\python\python35-32\lib\site-packages (from matplotlib) (2018.3)
Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in c:\users\sepkjaer\appdata\local\programs\python\python35-32\lib\site-packages (from matplotlib) (2.2.0)
Requirement already satisfied: setuptools in c:\users\sepkjaer\appdata\local\programs\python\python35-32\lib\site-packages (from kiwisolver>=1.0.1->matplotlib) (39.2.0)
You are using pip version 19.0.2, however version 19.0.3 is available.
You should consider upgrading via the 'python -m pip install --upgrade pip' command.
In [12]:
def plot_func(x,y,x_label,y_label,color='green',legend=[],multi=False):
    plt.figure()
    plt.grid()
    if multi==True:
        for index,y_item in enumerate(y):
            plt.plot(x,y_item,color=color[index])
    else:
        plt.plot(x,y,color=color)
    plt.xlabel(x_label)
    plt.ylabel(y_label)
    if len(legend)!=0:
        plt.legend(legend)
    plt.show()
In [13]:
plot_func(data["I"],data["P"],"I(A)","Power(W)")
In [14]:
plot_func(data["I"],[data["V"],data["VE"]],"I(A)","V(V)",["red","blue"],legend=["Voltage-Stack","Linear-Apx"],multi=True)
In [15]:
plot_func(data["I"],data["Ph"],"I(A)","Power-Thermal(W)","blue")
In [16]:
plot_func(data["I"],data["EFF"],"I(A)","Efficiency","gray")

Parameters

Inputs, Constants & Middle Values

  1. User : User input
  2. System : Simulator calculation (middle value)
$$Parameter$$ $$Description$$ $$Unit$$ $$Value$$
$$E_0$$ Open circuit voltage $$V$$ $$User$$
$$b$$ Tafel’s parameter for the oxygen reduction $$V$$ $$User$$
$$R$$ Resistance $$\Omega cm^2$$ $$User$$
$$m$$ Diffusion’s parameters $$V$$ $$User$$
$$n$$ Diffusion’s parameters $$A^{-1}cm^2$$ $$User$$
$$A$$ Active area $$cm^2$$ $$User$$
$$N$$ Number of single cells $$--$$ $$User$$
$$i_{start}$$ Cell operating current start point $$A$$ $$User$$
$$i_{step}$$ Cell operating current step $$A$$ $$User$$
$$i_{stop}$$ Cell operating current end point $$A$$ $$User$$
$$J$$ Actual current density of the cell $$Acm^{-2}$$ $$System$$
$$\mu_F$$ The fuel utilization $$--$$ $$0.95$$
$$HHV$$ Higher heating value potential $$V$$ $$1.482$$
$$E_{th}$$ Theoretical potential $$V$$ $$1.23$$

Reference

Junbom Kim, Seong-Min Lee, Supramaniam Srinivasan, Charles E. Chamberlin. 1995. "Modeling of Proton Exchange Membrane Fuel Cell Performance with an Empirical Equation." Journal of The Electrochemical Society (The Electrochemical Society) 142 (8): 2670-2674. doi:10.1149/1.2050072.