Analysis of pulse and relaxation behavior in lithium-ion batteries.pdf

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1、JournalofPowerSources196(2011)412–427ContentslistsavailableatScienceDirectJournalofPowerSourcesjournalhomepage:www.elsevier.com/locate/jpowsourAnalysisofpulseandrelaxationbehaviorinlithium-ionbatteriesDawnM.Bernardia,∗,Joo-YoungGobaFordMotorCompany,ResearchandInnovationCenter,Dearborn,MI48124

2、,USAbSBLiMotive,R&Dteam,428-5,Gongse-dong,Giheung-gu,Yongin-si,Gyeonggi-do446-577,SouthKoreaarticleinfoabstractArticlehistory:Amathematicalmodelofalithium-ioncellisusedtoanalyzepulseandrelaxationbehaviorincellsReceived8June2010designedforhybrid-electric-vehiclepropulsion.Predictionsofcellvolt

3、ageshowgoodagreementwithReceivedinrevisedform28June2010experimentalresults.Modelresultsindicatetheohmicvoltagelossinthepositiveelectrodeisthedom-Accepted30June2010inantcontributortocellovervoltageinthefirstinstancesofapulse.TheconcentrationovervoltageAvailableonline8July2010associatedwiththere

4、ducedlithiuminthesolidphaseofthepositiveisofsecondaryimportancethroughpulseduration,butdominatesaftercurrentinterruption.EffectsofanisotropyintheparticlediffusionKeywords:coefficientarealsostudied.HeavisidemollificationfunctionsareutilizedtodescribethethermodynamicMathematicalmodelingopen-circu

5、itvoltageoflithiatedgraphite,andthe“pleated-layermodel”isextendedtorealizethephaseBatteriesHybridelectricvehiclesbehaviorofprimary-particleaggregatesduringcelloperation.ThenegativeelectrodecontributeslittletoLithiumionthecellovervoltage,andtwo-phasebehaviorresultsinareactionfrontwithintheelec

6、trode.NovoltageGraphitephasebehaviorrelaxationisassociatedwiththenegativeelectrode,andafterfullrelaxation,astablecompositiongra-Voltagerelaxationdientoflithiumexiststhroughoutthesolidphase.Internalgalvaniccouplingremovesthecompositiongradientsinthepositiveelectrodeduringrelaxation.©2010Elsevi

7、erB.V.Allrightsreserved.1.Introductionpounds.Fulleretal.[1]publishedthefirstmathematicalmodelofthelithium-ioncell,andwereferthereadertothisworkforaLithium-ionbatteriesarecurrentlyusedinavarietyofportablebriefreviewofthecell’sinceptionandhistor