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Master of Science Thesis in Electrical Engineering Department of Electrical Engineering, Linköping University, 2016 Modeling of Battery Degradation in Electrified Vehicles Olof Juhlin MasterofScienceThesisinElectricalEngineering ModelingofBatteryDegradationinElectrifiedVehicles OlofJuhlin LiTH-ISY-EX–16/5015–SE Supervisor: ChristoferSundström isy,Linköpingsuniversitet Examiner: MattiasKrysander isy,Linköpingsuniversitet DivisionofVehicularSystems DepartmentofElectricalEngineering LinköpingUniversity SE-58183Linköping,Sweden Copyright©2016OlofJuhlin Abstract This thesis provides an insight into battery modeling in electric vehicles which includesdegradationmechanismsasinautomotiveoperationinelectricvehicles. As electric vehicles with lithium ion batteries increase in popularity there is an increasedneedtostudyandmodelthecapacitylossesinsuchbatteries. Ifthereis agoodunderstandingofthephenomenainvolvedandanabilitytopredictthese lossesthereisalsoafoundationtotakemeasurestominimizetheselosses. In this thesis a battery model for lithium ion batteries which includes heat dissipationisusedasgroundwork. Thismodelisexpandedwiththeadditionof capacitylossesduetousageaswellasstorage. Bycombiningthiswithasimple vehicle model one can use these models to achieve an understanding as to how abatteryorpackofseveralbatterieswouldbehaveinaspecificdrivingscenario. Much of the focus in the thesis is put into comparing the di↵erent factors of degradationtohighlightwhatthemajorcontributorsare. Theconclusionisdrawnthatheatisthemaincausefordegradationforbatter- ies in electric vehicles. This applies for driving usage as well as during storage. Asheatisgeneratedwhenabatteryisused,thelevelofcurrentisalsoafactor,as wellasinwhichstateofchargeregionthebatteryisused. iii Acknowledgments Ithasbeenveryrewardingtoworkinafieldwhichissoveryrelevantinthisday. IwouldliketothankmyexaminerMattiasKryssanderandsupervisorChristofer SundströmofLinköpingUniversityforgivingmetheopportuniytodothisthesis andalsoprovidingguidanceandhelpfuldiscussionsalongtheway. I also thank the other students doing their thesis work at vehicular systems simultaneous to me and with whom I shared o�ce. It was always a friendly environmentandIbelievethatweallbenefitedfromthediscussionsandhelpwe couldgiveeachother. Linköping,December2016 OlofJuhlin v Contents 1 Introduction 1 1.1 Background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Objective . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2.1 Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2.2 Equivalentcircuitmodelevaluation . . . . . . . . . . . . . 4 1.2.3 Stateofhealthmodelling . . . . . . . . . . . . . . . . . . . . 7 1.2.4 Packmodelling . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.3 Celloperation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.4 Safetyconcerns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.5 Outline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2 Celldegradation 11 2.1 Ageingmechanism . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.2 Stateofhealth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.3 Cycleageing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.3.1 Stateofcharge . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.3.2 Temperature . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.3.3 Chargerate. . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 2.4 Calendarageing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 2.5 Summingup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3 Packdegradation 27 3.1 Packbalancing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 3.2 Packstateofhealth . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 3.3 Simulations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 3.4 Summingup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 4 Application 33 4.1 Vehiclemodel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 4.2 Drivingcycle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 4.3 Simulations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 4.4 Variabletemperature . . . . . . . . . . . . . . . . . . . . . . . . . . 40 4.5 Summingup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 vii viii Contents 5 Conclusionsandfuturework 43 5.1 Futurework . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 Bibliography 45 1 Introduction Inthisintroducingchapterthegeneralpurposeofthethesisispresented. Some backgroundonbatteriesinvehiclesandalsosomebasicsregardingbatteriesand battery modeling which is needed to understand the following chapters of the thesisaregiven. 1.1 Background Inrecentyearselectricvehicles(EV)havegainedpopularityandmanycarman- ufacturers are developing such vehicles in order to be a part of this emerging market. Electric vehicles are in this thesis divided into battery electric vehicles (BEV),hybridelectricvehicles(HEV)andplug-inhybridelectricvehicles(PHEV). ABEVdrawsallitspowerfromthebatterywhilehybridvariantsalsofeaturean internalcombustionengine(ICE). An essential part of these vehicles is the battery. The battery in a BEV is somewhat analogous to the fuel tank in a regular car with only an ICE, and as suchisthelimitingfactorastohowfarthevehiclemaytravelwithoutcharging. In an HEV or PHEV battery limitation can be described as to which extent you maydependonallelectricdrive. There are many aspects to take into consideration regarding batteries when designing an EV. Batteries are expensive and large in volume and therefore it is desirable to use them as e↵ectively as possible. There is also degradation in batteries, i.e. they will loose capacity and eventually be drained to the point wheretheyarenolongerfunctional. Themainfocusofthisthesisistomodelthis degradation and to understand mechanisms a↵ecting the state of health (SoH) of the battery. In order to prolong lifetime of the batteries in electric vehicles car manufacturers want to have an as low degradation rate as possible in their batteries. 1 2 1 Introduction Thebatteriesusedinthesevehiclesarepacksofbatteriesconsistingofindivid- ualcellsconnectedinsomeconfigurationofseriesandparallelcircuits. Degrada- tion of the battery pack will be depending on the degradation of the individual cells as well as specific properties of the pack such as thermal characteristics, whichwillvaryonhowthecellsareorganisedwithrespecttoeachotherandthe thermal management system. The specific chemistries of the cell as well as the packagingstyleofthecell,e.g. cylindricalorprismatic,isalsoofimportance. Batterymodellingisusedforgatheringinformationonhowthecellsandbat- tery packs will behave without testing on actual batteries, though the models needtobeaccuratetoprovidedependablesimulations. 1.2 Objective The main purpose of the thesis is to investigate what factors influence lithium- ion battery degradation and to which extent. This should be used to be able to makeassessmentsonhowabatterycellwoulddegradeinspecificsituations. The methodforinvestigatingthisistodevelopamodelforevaluatingdegradationin batteries. Using specified data in terms of cell configuration, temperature and charging/dischargingusage,oneshouldbeabletogetastateofhealthestimation ofabatterycellorpack. Byconnectingcellstogetherandaccountingforheatexchangebetweencells, simulationsshouldbepossibleforpacksofcellsasfoundinelectricvehiclesand alsobeabletoassesthelevelofdegradationforapackofaspecifiedconfiguration duringcertainoperatingconditions. 1.2.1 Method To model battery behaviour some basic knowledge on batteries is needed. The material in [11] provides basic as well as in depth knowledge about batteries in general and also devotes a chapter to lithium ion chemistries (Li-Ion), which is the chemistry that will be considered in this thesis. The work in [1] focuses onbatterymanagementsystems(BMS)andgivesaninsightinhowbatterycells behaveinpacksandhowtocontrolthem. Informationonthepropulsionofthe EV,inwhichthebatteryisasignificantpart,canalsobefoundin[5]. Themodelsusedinthisthesisareofelectricalcircuittypeandmodelthebat- terycellasacircuitofresistancesandcapacitors.InFigure1.1amodelconsisting ofavoltagesourceandaresistanceinserieswithaparallelbranchofaresistance andacapacitor(RC-branch)isshown. Typicallytheelectricalmodelisextended withmoreRC-branchestocapturedynamicsbetter. Thiscomeswiththepriceof greatermodelcomplexity.

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Modeling of Battery. Degradation This thesis provides an insight into battery modeling in electric vehicles which Artech House, first edition, 2010.
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