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Chamberline-KimStatic Model¶
Version 1.4¶
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
It is experimentally calculated that the value of m covers this wide range :
$$Unit(m)\rightarrow V$$$$10^{-22} \leq m\leq 10^{-1} $$When mass transport limitations are minimal, the m values are in this range :
$$10^{-22} \leq m\leq 10^{-12} $$The relatively high values of the parameter n, however are indicative of significant mass transport overpotential. It is experimentally calculated that the value n covers this range :
$$Unit(n)\rightarrow A^{-1}cm^2$$$$1\leq n\leq 10$$Typical value of m and n : $$m = 3\times10^{-8}$$
$$n = 8$$- 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.
- Notice : Simple linear regression used for this approximation
| $$Parameter$$ | $$Description$$ | $$Unit$$ |
| $$V_0$$ | 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 toi=42.5 withstep=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!
In [10]:
Static_Analysis(InputMethod={},TestMode=True,PrintMode=False,ReportMode=True)
Out[10]:
{'Message': '[Error] Chamberline-Kim Simulation Failed!(Check Your Inputs)',
'Status': False}
Parameters¶
TestMode: Active test mode and get/return data asdict, (Default :False)ReportMode: Generate reports(.csv,.opem,.html) and print result in console, (Default :True)PrintMode: Control printing in console, (Default :True)Folder: Reports folder, (Default :os.getcwd())
- Notice : "PrintMode" & "ReportMode" , new in version 0.5
- Notice : "Folder" , new in version 1.4
Plot¶
In [11]:
import sys
!{sys.executable} -m pip -qqq install matplotlib;
import matplotlib.pyplot as plt
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
- User : User input
- 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¶
1- 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.
2- Rho, Y. W., Srinivasan, S., & Kho, Y. T. 1994. ''Mass transport phenomena in proton exchange membrane fuel cells using o 2/he, o 2/ar, and o 2/n 2 mixtures ii. Theoretical analysis.'' Journal of the Electrochemical Society, 141(8), 2089-2096. doi: 10.1149/1.2055066.