质子交换膜电池的建模与控制

质子交换膜电池建模及控制报告人：彭飞主要内容预备知识后期工作建立模型控制系统基本原理Anode：Cathode：MBMBRWcpSupplymanifoldCooler&HumnidifierWca,inCathode(CA)Wca,outReturnmanifold(RM)Anode(AN)Wan,inWan,outH2Tank222HHe22442HOeHO质子交换膜燃料电池系统框图FuelCellStackDC-DCConverterControllerLoadBatteryPurgeCoolingFanH2ValveSwitchElectricitySignalMassFlowHydrogen质子交换膜燃料电池实际模型主要内容预备知识后期工作建立模型控制系统质子交换膜电池总体模型prmTstTan,inpan,inфan,inWan,inTca,inyo2ca.inФca,inpsmWca,inCathodeMassFlowmo2,camN2,camv,caAnodeMassFlowmH2.anmv,anMembraneHydrationStackVoltageWv,membrWv,membrфcaфanIstIstIstIstλmpH2,anIstVstWca,outфcaPo2,capca质子交换膜电池总体模型prmTstTan,inpan,inфan,inWan,inTca,inyo2ca.inФca,inpsmWca,inCathodeMassFlowmo2,camN2,camv,caAnodeMassFlowmH2.anmv,anMembraneHydrationStackVoltageWv,membrWv,membrфcaфanIstIstIstIstλmpH2,anIstVstWca,outфcaPo2,capcaMBMBRWcpSupplymanifoldCooler&HumnidifierWca,inCathode(CA)Wca,outReturnmanifold(RM)Anode(AN)Wan,inWan,outH2TankMBMBRWcpSupplymanifoldCooler&HumnidifierWca,inCathode(CA)Wca,outReturnmanifold(RM)Anode(AN)Wan,inWan,outH2TankStackVoltageModelLarminie,J.andDisks,A.2000FuelSystemExplainedStackoutputVoltage：(2-1)fcactohmconcvEvvvStackVoltageModelAmphlett,J.C.,Baument,R.M.PerformancemodelingoftheBallardMarkIVsolidpolymerelectrolytefuelcell45221.2298.510(298.15)14.308510[ln()ln()]2fcfcETTpHpO(2-2)GEnF1,1237340()1.229296485rrifrifGJmolETPvoltsnFAsmol2220.5(,)(,)()lnHOrrifrrifrifrifHOppSRTETpETpTTnFnFpStackVoltageModel•Activationovervoltages:Lee,J.H.,Lalk,T.R.,andAppleby,A.J.1998TherelationshipbetweentheactivationovervoltageandthecurrentdensityisdescribedbytheTafelequation,whichisapproximatedby(2-3)•Thevaluesofandtheirdependencyonoxygenpartialpressureandtemperaturecanbedeterminedfromnonlinearregressionofexperimentaldata.10(1)ciactavvve0,,1avvcStackVoltageModel•Ohmicovervoltage(2-4)MannRF,AmphlettJG,HooperMAI,JensenHM,PeppleyBA,RobergePR.2006JPOWERSOURCES(2-5)•Whererepresentsthemembranewatercontent.Itsvaluevariesbetween0and14,whichcorrespondtorelativehumidity(RH)of0%and100%,respectively.ohmohmviR22.5181.6[10.030.062()]303303[0.6343]exp[4.18()]ohmmTiiRTiTmStackVoltageModel•ConcentrationovervoltageGuzzella,L.,1999,ControlOrientedModellingofFuel-CellBasedVehicles.(2-6)•Whereareconstantsthatdependontemperatureandreactantpartialpressureandcanbedeterminedempirically.32max()cconcivici2,3maxccandiStackVoltageModel•Nonlinearregressionofexperimentaldata4050.2798.510(298.15)0.1773()14.308510[ln()ln()]1.0132521.01325fccasatcasatfcvTppppT2252244(1.618101.61810)()0.1173+(1.810-0.166)(+)+(-5.810+0.5736)0.1173OafcsatOfcsatfcpvTppTpT13max10,2,2.2cciStackVoltageModel•StackVoltageSimulinkModelStackVoltageModel•SomedataofSimulink1.SystemparametersoftheBallard5kWPEMFCStackVoltageModel•OperationconditionoftheBallard5kWPEMFCStackVoltageModel5.19111.23801.16130.76270.03030.14620.3876stackv43.706329.567626.482023.516520.115217.190713.7512vStackVoltageModel0501001502002503003500510152025303540Current(A)OutputVoltage(V)ActivationOverpotentialConcentrationOverpotentialOhmicOverpotentialfcactohmconcvEvvvStackVoltageModel05010015020025030035040001020304050Current(A)OutputVoltage(V)050100150200250300350400010002000300040005000OutputPower(W)PmaxOutputpowerOutputvoltageStackVoltageModel0501001502002503005055606570758001020304050Current(A)Temperature(℃)OutputValtage(V)StackVoltageModel()fciA()stT℃0501001502002503005043.712027.531823.937620.320616.096512.51827.91385543.711427.902524.402420.922716.858513.41279.02976043.710628.264624.848821.489917.583414.295610.12956543.709728.618825.278822.025918.263915.069011.04927043.708628.966025.694022.542818.908915.818211.95947543.707529.306926.096023.044219.520416.523112.82998043.706329.642026.485823.515520.113017.182913.6307CathodeFlowModelMBMBRWcpSupplymanifoldCooler&HumnidifierWca,inCathode(CA)Wca,outReturnmanifold(RM)Anode(AN)Wan,inWan,outH2TankprmTstTan,inpan,inфan,inWan,inTca,inyo2ca.inФca,inpsmWca,inCathodeMassFlowmo2,camN2,camv,caAnodeMassFlowmH2.anmv,anMembraneHydrationStackVoltageWv,membrWv,membrфcaфanIstIstIstIstλmpH2,anIstVstWca,outфcaPo2,capcapsmInletFlowPropertiesCalculationOutletFlowPropertiesCalculationThermo-dynamiccalculationCathodeMassBalanceOrificeElectro-ChemistryWca,inфca,inyO2ca,inTstprmWca,outPO2,caIstpcaфcaWv,membrWO2,ca,inWN2,ca,inWv,ca,inWca,outpcapcaфcayO2,caWO2,ca,outWN2,ca,outWv,ca,outmo2,camN2,camv,caWO2,ca,reactWv,ca,genpcayO2,caCathodeFlowModel•Thismodelcapturesthecathodeairflowbehavior,andisdevelopedusingthemassconservationprincipleandthethermodynamicandpsychrometricpropertiesofair.•Severalassumptionsaremade:•(1)Allgasesobeytheidealgaslaw;•(2)Thetemperatureoftheairinsidethecathodeisequaltothestacktemperature;•(3)Thepropertiesoftheflowexitingthecathodesuchastemperature,pressure,andhumidityareassumedtobethesameasthoseinsidethecathode;•(4)Whentherelativehumidityofthegasexceeds100%,vaporcondensesintotheliquidform.Theliquidwaterdoesnotleavethestackandwilleitherevaporatewhenthehumiditydropsbelow100%oraccumulateinthecathode;CathodeFlo