A Karhunen-Loeve Galerkin Online Modeling Approach for the Thermal Dynamics of Li-Ion Batteries

The thermal dynamics of Li-ion batteries are very complicated, and the battery temperature is spatially distributed imbalanced from the battery interior to the surface. The thermal dynamics are commonly modeled by partial differential equations (PDEs); however, parameter identification for PDEs is d...

Full description

Saved in:
Bibliographic Details
Published inIEEE access Vol. 8; pp. 187893 - 187901
Main Authors Shen, Wenjing, Xu, Kangkang, Deng, Liming, Zhang, Shupeng
Format Journal Article
LanguageEnglish
Published Piscataway IEEE 2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Algorithms
Computational modeling
Dynamics
Electrodes
Galerkin method
Karhunen-Loeve Galerkin method
Li-ion batteries
Lithium
Lithium-ion batteries
Mathematical model
Mathematical models
Method of moments
Modelling
Parameter identification
Parameter uncertainty
Partial differential equations
Physical properties
Rechargeable batteries
spatiotemporal separation
Temperature distribution
Online AccessGet full text

Cover

Abstract The thermal dynamics of Li-ion batteries are very complicated, and the battery temperature is spatially distributed imbalanced from the battery interior to the surface. The thermal dynamics are commonly modeled by partial differential equations (PDEs); however, parameter identification for PDEs is difficult and time consuming. In this work, a Karhunen-Loeve Galerkin method is proposed to obtain a simple but effective low-order model for the distributed thermal dynamics of Li-ion batteries. The Karhunen-Loeve decomposition method is applied to capture the most representative spatial modes of the dynamics, while the Galerkin method is used to obtain the corresponding temporal modes. All the uncertain physical parameters in the temporal modes are identified by the Levenberg-Marquardt algorithm. The updated temporal modes synthesized with spatial modes can offer a fast estimation of the temperature distribution on the battery surface and thus has the potential to provide distributed temperature prediction for the battery management system. The proposed modeling scheme is tested on a 60Ah Li-ion battery cell, and the simulation result shows an excellent match in the temperature distribution and a faster computing speed than the rigorous physical model.
AbstractList The thermal dynamics of Li-ion batteries are very complicated, and the battery temperature is spatially distributed imbalanced from the battery interior to the surface. The thermal dynamics are commonly modeled by partial differential equations (PDEs); however, parameter identification for PDEs is difficult and time consuming. In this work, a Karhunen-Loeve Galerkin method is proposed to obtain a simple but effective low-order model for the distributed thermal dynamics of Li-ion batteries. The Karhunen-Loeve decomposition method is applied to capture the most representative spatial modes of the dynamics, while the Galerkin method is used to obtain the corresponding temporal modes. All the uncertain physical parameters in the temporal modes are identified by the Levenberg-Marquardt algorithm. The updated temporal modes synthesized with spatial modes can offer a fast estimation of the temperature distribution on the battery surface and thus has the potential to provide distributed temperature prediction for the battery management system. The proposed modeling scheme is tested on a 60Ah Li-ion battery cell, and the simulation result shows an excellent match in the temperature distribution and a faster computing speed than the rigorous physical model.
Author Zhang, Shupeng
Shen, Wenjing
Xu, Kangkang
Deng, Liming
Author_xml – sequence: 1
  givenname: Wenjing
  orcidid: 0000-0003-2175-7179
  surname: Shen
  fullname: Shen, Wenjing
  organization: Sino-German College of Intelligent Manufacturing, Shenzhen Technology University, Shenzhen, China
– sequence: 2
  givenname: Kangkang
  orcidid: 0000-0003-3622-2134
  surname: Xu
  fullname: Xu, Kangkang
  organization: School of Electro-Mechanical Engineering, Guangdong University of Technology, Guangzhou, China
– sequence: 3
  givenname: Liming
  orcidid: 0000-0002-6394-9112
  surname: Deng
  fullname: Deng, Liming
  organization: Ping An Technology at Shenzhen, Shenzhen, China
– sequence: 4
  givenname: Shupeng
  surname: Zhang
  fullname: Zhang, Shupeng
  email: zhangshupeng@sztu.edu.cn
  organization: College of Urban Transportation and Logistics, Shenzhen Technology University, Shenzhen, China
BookMark eNpNUU1P3DAQtSoqlQK_gIulnrO1PbFjH7dboKsu4gA9W44zYb3N2lsni8S_xxCEOpf50HtvZvS-kpOYIhJyydmCc2a-L1erq_v7hWCCLYABa7j5RE4FV6YCCerkv_oLuRjHHSuhy0g2p8Qu6W-Xt8eIsdokfEJ64wbMf0Okd3EIEelt6rAUj3R5OOTk_Jb2KdNpi_Rhi3nvBvrzObp98CNNPd2Eap0i_eGmCXPA8Zx87t0w4sV7PiN_rq8eVr-qzd3NerXcVL5meqq4rGvHPXANhtfc9wpY22tkWsgWZdMhN-qtRSFro6HtoONNW9Beg1ZwRtazbpfczh5y2Lv8bJML9m2Q8qN1eQp-QKskuKYxSpqyyrTK9RoYCoBOdsoLX7S-zVrl339HHCe7S8ccy_lW1BI0b6QQBQUzyuc0jhn7j62c2Vdj7GyMfTXGvhtTWJczKyDiB8MIIXgD8ALKOYg3
CODEN IAECCG
CitedBy_id crossref_primary_10_1109_TII_2023_3240590
crossref_primary_10_1016_j_pecs_2023_101120
crossref_primary_10_1016_j_engappai_2024_108433
crossref_primary_10_1109_ACCESS_2021_3075554
crossref_primary_10_1109_ACCESS_2022_3206950
Cites_doi 10.1149/1.1393625
10.1109/ACCESS.2017.2678598
10.1149/2.0342001JES
10.1016/j.applthermaleng.2015.11.019
10.1016/j.jpowsour.2017.04.084
10.1149/2.018203jes
10.1109/TII.2018.2859444
10.1149/2.146306jes
10.3390/batteries5010004
10.1016/j.jpowsour.2004.05.064
10.4271/2003-01-2286
10.1109/TII.2014.2341955
10.1149/1.3591799
10.1016/S0005-1098(02)00099-7
10.1109/TIE.2018.2818645
10.1002/aic.690410619
10.1016/j.jpowsour.2012.11.044
10.1149/1.1526512
10.1149/1.2776128
10.1149/1.2817888
10.1155/2015/294793
10.1109/TIE.2019.2914637
10.1109/TII.2019.2960601
10.1016/j.ijthermalsci.2015.08.016
10.1016/j.jpowsour.2012.03.009
10.1016/j.jpowsour.2015.12.083
10.1016/j.jpowsour.2012.09.013
10.1016/j.jpowsour.2007.09.054
10.1109/CEC.2016.7743806
10.3390/batteries6030044
10.1002/er.4022
10.1109/TAC.2007.894513
10.1109/TIE.2016.2624720
10.1109/TSTE.2016.2574755
10.3390/en10040432
10.1149/2.0501714jes
10.1016/j.jprocont.2017.03.006
10.1016/j.jpowsour.2008.10.019
10.1109/TII.2017.2743260
10.1109/TIE.2018.2880668
10.1149/1.2839630
10.1149/1.3486082
10.1149/2.039303jes
10.1016/j.jpowsour.2014.12.013
10.1016/j.ijheatmasstransfer.2016.05.126
10.1109/TVT.2017.2738780
10.1016/j.jpowsour.2014.01.097
ContentType Journal Article
Copyright Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020
Copyright_xml – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020
DBID 97E
ESBDL
RIA
RIE
AAYXX
CITATION
7SC
7SP
7SR
8BQ
8FD
JG9
JQ2
L7M
L~C
L~D
DOA
DOI 10.1109/ACCESS.2020.3030719
DatabaseName IEEE All-Society Periodicals Package (ASPP) 2005-present
IEEE Open Access Journals
IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE Electronic Library (IEL)
CrossRef
Computer and Information Systems Abstracts
Electronics & Communications Abstracts
Engineered Materials Abstracts
METADEX
Technology Research Database
Materials Research Database
ProQuest Computer Science Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
DOAJ Directory of Open Access Journals
DatabaseTitle CrossRef
Materials Research Database
Engineered Materials Abstracts
Technology Research Database
Computer and Information Systems Abstracts – Academic
Electronics & Communications Abstracts
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
Advanced Technologies Database with Aerospace
METADEX
Computer and Information Systems Abstracts Professional
DatabaseTitleList
Materials Research Database
Database_xml – sequence: 1
  dbid: DOA
  name: DOAJ Directory of Open Access Journals
  url: https://www.doaj.org/
  sourceTypes: Open Website
– sequence: 2
  dbid: RIE
  name: IEEE Electronic Library (IEL)
  url: https://proxy.k.utb.cz/login?url=https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 2169-3536
EndPage 187901
ExternalDocumentID oai_doaj_org_article_653a7796599149b6af830e233d5d6c2c
10_1109_ACCESS_2020_3030719
9222173
Genre orig-research
GrantInformation_xml – fundername: Natural Science Foundation of Guangdong Province
  grantid: 2018A030313747
  funderid: 10.13039/501100003453
– fundername: Natural Science Foundation of Top Talent of SZTU
  grantid: 1814309011180003
– fundername: National Natural Science Foundation of China
  grantid: 51906160
  funderid: 10.13039/501100001809
GroupedDBID 0R~
4.4
5VS
6IK
97E
AAJGR
ABVLG
ACGFS
ADBBV
ALMA_UNASSIGNED_HOLDINGS
BCNDV
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
EBS
EJD
ESBDL
GROUPED_DOAJ
IFIPE
IPLJI
JAVBF
KQ8
M43
M~E
O9-
OCL
OK1
RIA
RIE
RIG
RNS
AAYXX
CITATION
7SC
7SP
7SR
8BQ
8FD
JG9
JQ2
L7M
L~C
L~D
ID FETCH-LOGICAL-c408t-1544a1c31839141cf630bf8e0825be57de1968e082e254983bd3d17b391c83863
IEDL.DBID DOA
ISSN 2169-3536
IngestDate Thu Sep 05 15:44:28 EDT 2024
Thu Oct 10 20:35:35 EDT 2024
Fri Aug 23 01:13:08 EDT 2024
Wed Jun 26 19:26:56 EDT 2024
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c408t-1544a1c31839141cf630bf8e0825be57de1968e082e254983bd3d17b391c83863
ORCID 0000-0002-6394-9112
0000-0003-2175-7179
0000-0003-3622-2134
OpenAccessLink https://doaj.org/article/653a7796599149b6af830e233d5d6c2c
PQID 2453817522
PQPubID 4845423
PageCount 9
ParticipantIDs doaj_primary_oai_doaj_org_article_653a7796599149b6af830e233d5d6c2c
proquest_journals_2453817522
ieee_primary_9222173
crossref_primary_10_1109_ACCESS_2020_3030719
PublicationCentury 2000
PublicationDate 20200000
2020-00-00
20200101
2020-01-01
PublicationDateYYYYMMDD 2020-01-01
PublicationDate_xml – year: 2020
  text: 20200000
PublicationDecade 2020
PublicationPlace Piscataway
PublicationPlace_xml – name: Piscataway
PublicationTitle IEEE access
PublicationTitleAbbrev Access
PublicationYear 2020
Publisher IEEE
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher_xml – name: IEEE
– name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
References ref13
ref12
ref15
ref14
ref11
ref10
constantinides (ref47) 1999; 4
ref17
ref16
ref19
ref18
ref50
ref46
ref45
ref48
ref42
ref41
ref44
ref43
ref8
ref7
ref9
lin (ref2) 2012
ref4
ref3
ref6
ref5
ref40
shen (ref49) 2012
ref35
ref34
ref37
ref36
ref31
ref30
ref33
ref32
ref1
ref39
ref38
ref24
ref23
ref26
ref25
ref20
ref22
ref21
ref28
ref27
ref29
References_xml – ident: ref13
  doi: 10.1149/1.1393625
– start-page: 1567
  year: 2012
  ident: ref49
  article-title: Charging algorithms of lithium-ion batteries: An overview
  publication-title: Proc IEEE Conf Ind Electron Appl
  contributor:
    fullname: shen
– ident: ref37
  doi: 10.1109/ACCESS.2017.2678598
– ident: ref3
  doi: 10.1149/2.0342001JES
– ident: ref6
  doi: 10.1016/j.applthermaleng.2015.11.019
– ident: ref48
  doi: 10.1016/j.jpowsour.2017.04.084
– ident: ref12
  doi: 10.1149/2.018203jes
– ident: ref30
  doi: 10.1109/TII.2018.2859444
– ident: ref41
  doi: 10.1149/2.146306jes
– ident: ref38
  doi: 10.3390/batteries5010004
– ident: ref19
  doi: 10.1016/j.jpowsour.2004.05.064
– start-page: 578
  year: 2012
  ident: ref2
  article-title: Quadruple adaptive observer of the core temperature in cylindrical li-ion batteries and their health monitoring
  publication-title: Proc Amer Control Conf (ACC)
  contributor:
    fullname: lin
– ident: ref1
  doi: 10.4271/2003-01-2286
– ident: ref5
  doi: 10.1109/TII.2014.2341955
– ident: ref16
  doi: 10.1149/1.3591799
– ident: ref18
  doi: 10.1016/S0005-1098(02)00099-7
– ident: ref31
  doi: 10.1109/TIE.2018.2818645
– volume: 4
  start-page: 493
  year: 1999
  ident: ref47
  publication-title: Numerical Methods for Chemical Engineers with Matlab Applications
  contributor:
    fullname: constantinides
– ident: ref20
  doi: 10.1002/aic.690410619
– ident: ref8
  doi: 10.1016/j.jpowsour.2012.11.044
– ident: ref43
  doi: 10.1149/1.1526512
– ident: ref23
  doi: 10.1149/1.2776128
– ident: ref14
  doi: 10.1149/1.2817888
– ident: ref50
  doi: 10.1155/2015/294793
– ident: ref29
  doi: 10.1109/TIE.2019.2914637
– ident: ref22
  doi: 10.1109/TII.2019.2960601
– ident: ref10
  doi: 10.1016/j.ijthermalsci.2015.08.016
– ident: ref34
  doi: 10.1016/j.jpowsour.2012.03.009
– ident: ref35
  doi: 10.1016/j.jpowsour.2015.12.083
– ident: ref24
  doi: 10.1016/j.jpowsour.2012.09.013
– ident: ref45
  doi: 10.1016/j.jpowsour.2007.09.054
– ident: ref36
  doi: 10.1109/CEC.2016.7743806
– ident: ref9
  doi: 10.3390/batteries6030044
– ident: ref40
  doi: 10.1002/er.4022
– ident: ref17
  doi: 10.1109/TAC.2007.894513
– ident: ref4
  doi: 10.1109/TIE.2016.2624720
– ident: ref39
  doi: 10.1109/TSTE.2016.2574755
– ident: ref44
  doi: 10.3390/en10040432
– ident: ref25
  doi: 10.1149/2.0501714jes
– ident: ref21
  doi: 10.1016/j.jprocont.2017.03.006
– ident: ref15
  doi: 10.1016/j.jpowsour.2008.10.019
– ident: ref32
  doi: 10.1109/TII.2017.2743260
– ident: ref28
  doi: 10.1109/TIE.2018.2880668
– ident: ref33
  doi: 10.1149/1.2839630
– ident: ref26
  doi: 10.1149/1.3486082
– ident: ref42
  doi: 10.1149/2.039303jes
– ident: ref46
  doi: 10.1016/j.jpowsour.2014.12.013
– ident: ref11
  doi: 10.1016/j.ijheatmasstransfer.2016.05.126
– ident: ref27
  doi: 10.1109/TVT.2017.2738780
– ident: ref7
  doi: 10.1016/j.jpowsour.2014.01.097
SSID ssj0000816957
Score 2.2377617
Snippet The thermal dynamics of Li-ion batteries are very complicated, and the battery temperature is spatially distributed imbalanced from the battery interior to the...
SourceID doaj
proquest
crossref
ieee
SourceType Open Website
Aggregation Database
Publisher
StartPage 187893
SubjectTerms Algorithms
Computational modeling
Dynamics
Electrodes
Galerkin method
Karhunen-Loeve Galerkin method
Li-ion batteries
Lithium
Lithium-ion batteries
Mathematical model
Mathematical models
Method of moments
Modelling
Parameter identification
Parameter uncertainty
Partial differential equations
Physical properties
Rechargeable batteries
spatiotemporal separation
Temperature distribution
SummonAdditionalLinks – databaseName: IEEE Electronic Library (IEL)
  dbid: RIE
  link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1Nb9QwEB21PcEBKAWxUCofeqy3SZw49nFZKKUUTlTqzXLsiUBFCWp3OfDrmYm9qwo4cEsiJ5rkzXg-Yr8BOEatAgW-VvrGeFmTBkurrJYqktiV77hbEq-2-KzPr-qL6-Z6B062e2EQcVp8hnM-nP7lxzGsuVR2asmZla3ahV1TVGmv1raewg0kbNNmYqGysKeL5ZLegVLAijJT1mVm07nnfCaO_txU5a-ZeHIvZ4_h00awtKrkZr5edfPw6w_Oxv-V_Ak8ynGmWCTF2IcdHJ7Cw3vsgwfgFuKjv_26HnCQlyP-RPGevAXXzkUiIBXcKI23q4tFZh4XFOIKChkFaRfN6N_F29TQ_k6Mvbj8Jj-Mg0iMnZSAP4Ors3dflucy91uQoS7MSjIxjy8DW7kt6zL0WhVdb5CzyA6bNiKZ63SKnFYa1UUVy7aj0cEoo9Vz2BvGAV-AUNZTaKDb0KOp61iawkdd9xUSMtgjzuBkA4T7kWg13JSOFNYl3Bzj5jJuM3jDYG2HMif2dIE-sssm5nSjfNsyQSJJbzvte6MKrJSKTdShCjM4YGC2D8mYzOBwA73L9nvnqrph6kIKTl_--65X8IAFTMWYQ9hb3a7xNYUnq-5o0svfiVvfgw
  priority: 102
  providerName: IEEE
Title A Karhunen-Loeve Galerkin Online Modeling Approach for the Thermal Dynamics of Li-Ion Batteries
URI https://ieeexplore.ieee.org/document/9222173
https://www.proquest.com/docview/2453817522
https://doaj.org/article/653a7796599149b6af830e233d5d6c2c
Volume 8
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV09T8MwELUQEwwIKIhAQR4YsZrEiWOPpXwUqJioxGY5yUUgoRRBy-_nzk5RJAYWxkRWYr87n99Z9jvGzkHJComvES7XTmTowcJIo4SssdupK6laEp22eFTTeXb_nD_3Sn3RmbAgDxyAG6lcuqIg2TuDZL5UrtEyhlTKOq9VlVY--iZ5L5nyMVgnyuRFJzOUxGY0nkxwRJgQppinkmeTtk5vKfKK_V2JlV9x2S82N7tsp2OJfBx6t8c2oN1n2z3twAGzY_7gPl5WLbRitoAv4LcY62nnmwf5UE5lzuiyOR93uuEcCSpHwsfRNzAev_GrUI7-ky8aPnsVd4uWB71NTJ8P2Pzm-mkyFV21BFFlsV4KktVxSUVzFJFKqkbJuGw0UA5YQl7UgJPNPwIlhVqWtayTosTWlZZayUO22S5aOGJcGocLuyqqBnSW1YmOXa2yJgVEEhqAiF2sgbPvQRTD-mQiNjbgbAln2-EcsUsC96cpKVr7F2hn29nZ_mXniA3IND8fMUhskkJGbLg2le1m36dNs5yEB5FaHv_Hr0_YFg0nbLwM2ebyYwWnSEWW5Zn3ujN_a_AbjVHWOw
link.rule.ids 315,786,790,802,870,2115,4043,27954,27955,27956,55107
linkProvider Directory of Open Access Journals
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1Lb9QwEB6VcoAeeBXUhQI-cKy3SZw49nFZKFu67amVerMcZyIQKEHtLgd-PTOxd1UBB25J5ESTfDOeR-xvAN6hVoECXyt9ZbwsSYOlVVZL1ZLYhW-4WxKvtrjQi6vy83V1vQNH270wiDguPsMpH47_8tshrLlUdmzJmeW1ugf3yc9nddytta2ocAsJW9WJWijP7PFsPqe3oCSwoNyUtZn5dO64n5GlP7VV-WsuHh3MyWM434gW15V8m65XzTT8-oO18X9lfwKPUqQpZlE1nsIO9s9g7w7_4D64mTjzN1_WPfZyOeBPFJ_IX3D1XEQKUsGt0njDupgl7nFBQa6goFGQftGc_l18iC3tb8XQieVXeTr0InJ2Ugr-HK5OPl7OFzJ1XJChzMxKMjWPzwPbuc3LPHRaZU1nkPPIBqu6RTLY8RQ5sTSqaVWb1w2NDkYZrV7Abj_0eABCWU_Bga5Dh6Ys29xkvtVlVyAhgx3iBI42QLgfkVjDjQlJZl3EzTFuLuE2gfcM1nYos2KPF-gju2RkTlfK1zVTJJL0ttG-MyrDQqm2anUowgT2GZjtQxImEzjcQO-SBd-6oqyYvJDC05f_vustPFhcni_d8vTi7BU8ZGFjaeYQdlc3a3xNwcqqeTPq6G949OLX
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+Karhunen-Loeve+Galerkin+Online+Modeling+Approach+for+the+Thermal+Dynamics+of+Li-Ion+Batteries&rft.jtitle=IEEE+access&rft.au=Shen%2C+Wenjing&rft.au=Xu%2C+Kangkang&rft.au=Deng%2C+Liming&rft.au=Zhang%2C+Shupeng&rft.date=2020&rft.pub=IEEE&rft.eissn=2169-3536&rft.volume=8&rft.spage=187893&rft.epage=187901&rft_id=info:doi/10.1109%2FACCESS.2020.3030719&rft.externalDocID=9222173
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2169-3536&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2169-3536&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2169-3536&client=summon