基于二阶段放电试验的磷酸铁锂电池的Peukert模型

ISSN10000054CN112223/N()JTsinghuaUniv(Sci&Tech),20105022010,Vol.50,No.232/38295298基于二阶段放电试验的磷酸铁锂电池的Peukert模型仝猛1,2,邵静玥1,卢兰光1,黄海燕1,李哲1,邓隆阳1,林庆峰3,焦生杰2,欧阳明高1(1.,100084;2.,710064;3.,100191):20090122:(20070410520);(KF09011):(1970),(),,:,,Email:[e-mail]:放电倍率与可用容量关系通常采用Peukert方程来描述,但Peukert方程存在不能区分电流倍率对于电荷损耗及剩余容量影响的问题为探讨Peukert方程背后起主导作用的机理并建立合理的方程,该文以采用二阶段恒流放电试验,分别建立Peukert形式的方程其中,第一阶段可用容量的方程(PE1)即原始Peukert模型,剩余容量的Peukert形式方程(PE2)反映了电流对于浓度梯度和扩散的影响最大可用容量Peukert方程(PE3)反映了电流倍率与电荷损耗的关系此外,磷酸铁锂电池(LFP)最大可用容量与倍率在对数域的曲线存在分叉非线性现象,反映了可用容量内阻等内在特性受温度电流影响而增大或波动的特点其Peukert系数(1.01~1.06)远小于镍镉铅酸电池,说明其电量损失及大电流影响较小:磷酸铁锂电池;Peukert模型;二阶段放电;剩余电量;荷电状态:TM911:A:10000054(2010)02029504PeukertmodelsoflithiumironphosphatebatteriesbasedonthetwostagedischargetestTONGMeng1,2,SHAOJingyue1,LULanguang1,HUANGHaiyan1,LIZhe1,DENGLongyang1,LINQingfeng3,JIAOShengjie1,OUYANGMinggao1(1.DepartmentofAutomotiveEngineering,TsinghuaUniversity,Beijing100084,China;2.ConstructionMachinerySchool,ChanganUniversity,Xian710064,China;3.SchoolofTransportationScienceandEngineering,BeihangUniversity,Beijing100191,China)Abstract:ThePeukertequationrelatestheCrateandtheavailablecapacityatthegivendischargerate,butconfusesthetwomechanismsofthechargelossinthedischargeprocessandtheresidualcapacityattheendofthedischargeprocess.Atwostageconstantcurrentdischargetestofalithiumironphosphate(LFP)batterywasusedtoanalyzethedischargeprocesswiththePeukertandsimilarequationsusedtodescribethedominantprinciplesandseparatetheinfluencesofthetwomechanisms.ThePeukertequationforthefirststageavailablecapacity(PE1)istheoriginalPeukertequation,whilethePeukertequationforthesecondstageavailablecapacity(residualcapacity)(PE2)relatestheCrateandtheresidualcapacity.ThePeukertequationforthemaximumavailablecapacity(thesumofthetwostages)(PE3)relatestheCrateandthechargeloss.ThediffusionandnonlinearphenomenainthelogisticcurveforthemaximumavailablecapacityoftheLFPbatteriesandtheCrateareinaccordancewiththecurrentandtemperatureeffectsonsolidelectrolyteinterphase(SEI)layersanddiffusion,andconsequentlywiththeavailablecapacity,internalresistance,andpotential.ThePeukertcoefficientfortheLFPbatteryvariesbetween1.01-1.06,whichisverysmallcomparedtoleadacidandNiMHbatteries,indicatingitssmallchargelossandthesmallinfluenceofCrateonthelosses.Keywords:lithiumironphosphatebattery;Peukertequation;twostagedischarge;remainingcapacity;stateofcharge(SOC)2090,,,(SOC)SOC,,Peukert[1]/296()2010,50(2),Peukert[2-6][2],(),Coulomb;SOC,[2](LFP)2C(C)(2V),Peukert11%,,LFP,,()()()Peukert,PeukertPeukert,1试验对象及试验系统LFP,11Ah,3.65~2.0V(4NICK300)H&HZSLV1502Dewetron5000CATektronics()-;;2二阶段电池放电电量试验Peukert,,,,,,PE:1)2V,1h;2)0.1C,1-,0.3C,3.65V,8,1:0.1C0.2C0.5C1.0C2.0C0.3C0.8C,()()3分析及讨论3.1PeukertPeukert[1](PE1),Qn1=Qn(In/In1)p1-1.(1)(1)ln(Qn1/Qn)=(p1-1)ln(In/In1).(2)Peukert(p1)0,p1,p1=1+ln(Qn1/Qn)/ln(In/In1).(3),2:,0.1C;0.1C,Peukertp11.0523,0~2C,Peukert,,[3]3.2Peukert(),Peukert(PE3):,:Peukert297Qn1A+Qn1B=(QnA+QnB)(In/In1)p3-1.(4)lnQn1A+Qn1BQnA+QnB=(p3-1)lnInIn1.(5),(),p3,33()0,-0.02,p3=1.02R21,0~2C,Peukert,0.1C0.2C0.3C,LFP,,Peukert,p3=1.064,0~2C,:1)0.1C0.2C0.3C0.8C(p3=1.04);0.5C1C1.5C2C0.1C(p3=1.02),2,2),,,,,0~2CPeukert,4(,)3.3,Peukert(PE2),Qn1B=(QnB)(In/In1)p2-1,(6)ln(Qn1B/QnB)=(p2-1)ln(In/In1).(7)5,,Peukertp2=1-0.62=0.38PE2PE1,,53.43Peukert,PE1,PE3,,Coulomb()PE2Peukert(PE2),Peukert,,PE2PE3,,Peukert,Peukert,PE3Peukert(),(),24,,LFP,LFP,p,,(voltagedelayeffect)[7-9],298()2010,50(2),(SEI),,,Coulomb,/,,,,,DoerffelSharkh[2]Peukert,p,;,,,pp3=1.01~1.06p=1.27~1.34(Peukert1.47[2])1.14LFP,Coulomb,4结论LFPPeukert,,Peukert(PE1),,,Peukert(PE3),/CoulombLFPPeukert,,CoulombCoulomb,,,Peukert(PE2)2,Peukert1,LFP()(),Peukert,p3=1.01~1.06(),,LFP,,Peukert(References)[1]PeukertW.berdieAbhngigkeitderKapacittvonderEntladestromstrckebeiBleiakkumulatoren[J].ElektrotechnischeZeitschrift,1897,20:20-21.[2]DoerffelD,SharkhSA.AcriticalreviewofusingthePeukertequationfordeterminingtheremainingcapacityofleadacidandlithiumionbatteries[J].JPowerSources,2006,155(2):395-400.[3]ChanCC,LoEWC,ShenWX.Theavailablecapacitycomputationmodelbasedonartificialneuralnetworkforleadacidbatteriesinelectricvehicles[J].JournalofPowerSources,2000,87(1-2):201-204.[4]ShenWX,ChanCC,LoEWC,etal.Estimationofbatteryavailablecapacityundervariabledischargecurrents[J].JPowerSources,2002,103(2):180-187.[5]SmartGauge.AnindepthanalysisofthemathsbehindPeukertsequation[EB/OL].(20090101).[6],.[J].,2005(3):1-5.CHENQuanshi,LINChengtao.Summarizationofstudiesonperformancemodelsofbatteriesforelectricvehicle[J].AutomobileTechnology,2005(3):1-5.(inChinese)[7]BlomgrenGE.Electrolytesforadvancedbatteries[J].JPowerSources,1999,81-82(9):112-118.[8]BlomgrenGE.Advancesinprimarylithiumliquidcathodebatteries[J].JPowerSources,1989,26(1-2):51-64.[9]LindenD,ReddyTB.HandbookofBatteries[M].NewYork:McGrawHillProfessional,2001.