Robust and fast estimation of equivalent circuit model from noisy electrochemical impedance spectra

•Robust and fast ECM fitting algorithm has been developed and tested on noisy impedance spectra, with source code available at github.com/leehangyue/EISART.•Accurate Complex Nonlinear Least Square (CNLS) fit has been realized with DRT-based initialization of ECM parameters.•Robust DRT analysis and E...

Full description

Saved in:
Bibliographic Details
Published inElectrochimica acta Vol. 422; p. 140474
Main Authors Li, Hangyue, Lyu, Zewei, Han, Minfang
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.08.2022
Elsevier BV
Subjects
Online AccessGet full text
ISSN0013-4686
1873-3859
DOI10.1016/j.electacta.2022.140474

Cover

Abstract •Robust and fast ECM fitting algorithm has been developed and tested on noisy impedance spectra, with source code available at github.com/leehangyue/EISART.•Accurate Complex Nonlinear Least Square (CNLS) fit has been realized with DRT-based initialization of ECM parameters.•Robust DRT analysis and ECM fitting has been enabled by data screening and weighing.•The estimation error of resistances in ECM from 1% to 26% were obtained for various noise levels and the factors affecting accuracy were revealed.•Time consumption fitting an ECM has been shortened to within 1 s on a typical personal laptop. The Equivalent Circuit Model (ECM) is a powerful technique to quantitatively analyze and compare Electrochemical Impedance Spectroscopy (EIS) data. In practice, noise is prevalent in EIS data, due to fuel cell system fluctuations, limited measuring time, and instruments, challenging the accuracy of ECM. There are algorithms that work well on noisy data, yet in many cases, either run time or robustness remains a problem. In this paper, we proposed a robust and fast algorithm that detects outliers, weighs the EIS data, and automatically fits an ECM within a second. For both experimentally measured and simulated noisy EIS data, the new algorithm reduced the impact of noise drastically. The algorithm is demonstrated in Python as part of the open-source software EISART at github.com/leehangyue/EISART. [Display omitted]
AbstractList •Robust and fast ECM fitting algorithm has been developed and tested on noisy impedance spectra, with source code available at github.com/leehangyue/EISART.•Accurate Complex Nonlinear Least Square (CNLS) fit has been realized with DRT-based initialization of ECM parameters.•Robust DRT analysis and ECM fitting has been enabled by data screening and weighing.•The estimation error of resistances in ECM from 1% to 26% were obtained for various noise levels and the factors affecting accuracy were revealed.•Time consumption fitting an ECM has been shortened to within 1 s on a typical personal laptop. The Equivalent Circuit Model (ECM) is a powerful technique to quantitatively analyze and compare Electrochemical Impedance Spectroscopy (EIS) data. In practice, noise is prevalent in EIS data, due to fuel cell system fluctuations, limited measuring time, and instruments, challenging the accuracy of ECM. There are algorithms that work well on noisy data, yet in many cases, either run time or robustness remains a problem. In this paper, we proposed a robust and fast algorithm that detects outliers, weighs the EIS data, and automatically fits an ECM within a second. For both experimentally measured and simulated noisy EIS data, the new algorithm reduced the impact of noise drastically. The algorithm is demonstrated in Python as part of the open-source software EISART at github.com/leehangyue/EISART. [Display omitted]
The Equivalent Circuit Model (ECM) is a powerful technique to quantitatively analyze and compare Electrochemical Impedance Spectroscopy (EIS) data. In practice, noise is prevalent in EIS data, due to fuel cell system fluctuations, limited measuring time, and instruments, challenging the accuracy of ECM. There are algorithms that work well on noisy data, yet in many cases, either run time or robustness remains a problem. In this paper, we proposed a robust and fast algorithm that detects outliers, weighs the EIS data, and automatically fits an ECM within a second. For both experimentally measured and simulated noisy EIS data, the new algorithm reduced the impact of noise drastically. The algorithm is demonstrated in Python as part of the open-source software EISART at github.com/leehangyue/EISART.
ArticleNumber 140474
Author Li, Hangyue
Lyu, Zewei
Han, Minfang
Author_xml – sequence: 1
  givenname: Hangyue
  surname: Li
  fullname: Li, Hangyue
– sequence: 2
  givenname: Zewei
  surname: Lyu
  fullname: Lyu, Zewei
– sequence: 3
  givenname: Minfang
  surname: Han
  fullname: Han, Minfang
  email: hanminfang@tsinghua.edu.cn
BookMark eNqNkEtLxDAUhYOM4MzobzDgumOaPpIsXAyDLxAE0XVI88CUtukk7cD8e9OpuHCjELiBe86993wrsOhcpwG4TtEmRWl5W290o-Ug4ttghPEmzVFO8jOwTCnJkowWbAGWCKVZkpe0vACrEGqEECkJWgL55qoxDFB0ChoRPzoMthWDdR10Bur9aA-i0d0ApfVytANsndINNN61sHM2HOFpvXfyU7dWigbattdKdFLD0E8dcQnOjWiCvvqua_DxcP--e0peXh-fd9uXROaIDYmSZSmwwYwYhCqlqVFYkKIimBpRKiorxrKYSVSFJJKkFZPKCGVwzhRjOMvW4Gae23u3H2MQXrvRd3ElxyUtCloQNKnuZpX0LgSvDZd2OAWOp9qGp4hPXHnNf7jyiSufuUY_-eXvfSTmj_9wbmenjhAOVnsepNURlLI-6rly9s8ZX6KNnF4
CitedBy_id crossref_primary_10_1149_1945_7111_ad6bc2
crossref_primary_10_1021_acsami_4c22501
crossref_primary_10_1149_1945_7111_ad6c0c
crossref_primary_10_1016_j_jpowsour_2025_236202
crossref_primary_10_1021_acs_chemmater_4c02386
crossref_primary_10_1016_j_jpowsour_2024_235354
crossref_primary_10_1016_j_ijhydene_2025_02_329
crossref_primary_10_1016_j_electacta_2024_145227
crossref_primary_10_1016_j_ijhydene_2024_10_206
crossref_primary_10_1016_j_seppur_2024_129534
crossref_primary_10_1016_j_apenergy_2024_124762
crossref_primary_10_1016_j_ceramint_2024_07_147
crossref_primary_10_1038_s41467_025_56932_5
crossref_primary_10_1016_j_ceramint_2025_01_497
crossref_primary_10_1016_j_jpowsour_2025_236537
crossref_primary_10_1016_j_ijhydene_2023_08_292
crossref_primary_10_3390_en15239251
crossref_primary_10_1016_j_biortech_2024_131763
crossref_primary_10_1016_j_ijhydene_2024_08_194
crossref_primary_10_1016_j_ijhydene_2023_05_144
crossref_primary_10_1016_j_apenergy_2025_125543
crossref_primary_10_1021_acsami_3c08019
crossref_primary_10_1021_acs_analchem_2c03325
crossref_primary_10_1016_j_enconman_2022_116621
crossref_primary_10_1021_acsami_4c10821
crossref_primary_10_1016_j_cej_2024_156255
crossref_primary_10_1007_s11426_024_2314_9
crossref_primary_10_1016_j_apenergy_2024_125187
crossref_primary_10_1016_j_est_2024_111770
crossref_primary_10_1016_j_jpowsour_2023_233952
crossref_primary_10_1016_j_ijhydene_2023_12_086
crossref_primary_10_1016_j_jechem_2023_08_028
crossref_primary_10_1016_j_jpowsour_2024_234448
crossref_primary_10_1016_j_cej_2024_153521
crossref_primary_10_1016_j_ijhydene_2023_06_277
crossref_primary_10_1002_aenm_202403869
crossref_primary_10_1016_j_ijhydene_2023_06_276
crossref_primary_10_1016_j_electacta_2023_141879
crossref_primary_10_1016_j_est_2023_109895
crossref_primary_10_1016_j_ceramint_2024_07_173
crossref_primary_10_1007_s44291_024_00031_0
crossref_primary_10_1002_smll_202411136
crossref_primary_10_1155_2024_9657360
Cites_doi 10.1016/j.electacta.2012.02.021
10.1016/j.jpowsour.2021.230678
10.1016/j.jpowsour.2015.02.107
10.1016/j.jpowsour.2021.230432
10.1149/1.2801372
10.1149/1.2908860
10.1016/j.electacta.2020.137493
10.1016/j.electacta.2019.134853
10.1016/j.jpowsour.2020.229237
10.1016/j.ijnonlinmec.2004.03.004
10.1016/j.electacta.2017.10.052
10.1103/PhysRev.104.1760
10.1016/j.ijhydene.2019.03.048
10.1149/1.3692958
10.1016/j.electacta.2015.09.097
10.1109/TPEL.2019.2924286
10.1007/BF01170953
10.1109/TPEL.2017.2780184
10.1016/j.electacta.2020.136764
10.1016/j.electacta.2021.138340
10.1016/j.ssi.2017.11.021
10.1016/j.est.2017.07.029
10.1016/j.measurement.2013.07.025
10.1007/BF02591962
10.1016/j.electacta.2020.136683
10.1023/A:1020599525160
10.3866/PKU.WHXB202011009
10.1016/j.jpowsour.2016.01.067
10.1016/S0013-4686(02)00187-1
10.1016/j.electacta.2020.136864
10.1016/j.aca.2012.06.055
10.1016/j.electacta.2014.01.034
10.1016/j.electacta.2021.137858
10.1016/j.electacta.2017.08.154
10.1016/j.electacta.2017.07.050
10.1016/j.jpowsour.2016.01.073
10.1016/j.jpowsour.2018.07.015
ContentType Journal Article
Copyright 2022
Copyright Elsevier BV Aug 1, 2022
Copyright_xml – notice: 2022
– notice: Copyright Elsevier BV Aug 1, 2022
DBID AAYXX
CITATION
7SR
7U5
8BQ
8FD
JG9
L7M
DOI 10.1016/j.electacta.2022.140474
DatabaseName CrossRef
Engineered Materials Abstracts
Solid State and Superconductivity Abstracts
METADEX
Technology Research Database
Materials Research Database
Advanced Technologies Database with Aerospace
DatabaseTitle CrossRef
Materials Research Database
Engineered Materials Abstracts
Solid State and Superconductivity Abstracts
Technology Research Database
Advanced Technologies Database with Aerospace
METADEX
DatabaseTitleList
Materials Research Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
Chemistry
EISSN 1873-3859
ExternalDocumentID 10_1016_j_electacta_2022_140474
S0013468622006363
GroupedDBID --K
--M
-~X
.~1
0R~
1B1
1RT
1~.
1~5
4.4
457
4G.
5GY
5VS
7-5
71M
8P~
9JN
AABNK
AACTN
AAEDT
AAEDW
AAIAV
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AARLI
AAXUO
ABFNM
ABFRF
ABJNI
ABMAC
ABNUV
ABYKQ
ACBEA
ACDAQ
ACGFO
ACGFS
ACIWK
ACNCT
ACRLP
ADBBV
ADECG
ADEWK
ADEZE
AEBSH
AEFWE
AEKER
AENEX
AFKWA
AFTJW
AFZHZ
AGHFR
AGUBO
AGYEJ
AHHHB
AHPOS
AIEXJ
AIKHN
AITUG
AJOXV
AJSZI
AKURH
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
AXJTR
BKOJK
BLXMC
CS3
DU5
EBS
EFJIC
EFLBG
ENUVR
EO8
EO9
EP2
EP3
F5P
FDB
FIRID
FLBIZ
FNPLU
FYGXN
G-Q
GBLVA
IHE
J1W
KOM
M36
M41
MO0
N9A
O-L
O9-
OAUVE
OZT
P-8
P-9
P2P
PC.
Q38
RNS
ROL
RPZ
SDF
SDG
SDP
SES
SPC
SPCBC
SSG
SSK
SSZ
T5K
TWZ
UPT
WH7
XPP
YK3
ZMT
~02
~G-
29G
41~
53G
AAQXK
AATTM
AAXKI
AAYWO
AAYXX
ABEFU
ABWVN
ABXDB
ACLOT
ACNNM
ACRPL
ACVFH
ADCNI
ADIYS
ADMUD
ADNMO
AEIPS
AEUPX
AFJKZ
AFPUW
AGQPQ
AI.
AIDUJ
AIGII
AIIUN
AJQLL
AKBMS
AKRWK
AKYEP
ANKPU
APXCP
ASPBG
AVWKF
AZFZN
CITATION
EFKBS
EJD
FEDTE
FGOYB
HMU
HVGLF
HZ~
H~9
LPU
R2-
SC5
SCB
SCH
SEW
T9H
VH1
WUQ
XOL
ZY4
~HD
7SR
7U5
8BQ
8FD
AFXIZ
AGCQF
AGRNS
BNPGV
JG9
L7M
SSH
ID FETCH-LOGICAL-c409t-dc66a2f297f00bde8fd2a75b728fa6d8cb993187ab5c7c71b9cdfadf249d99233
IEDL.DBID .~1
ISSN 0013-4686
IngestDate Fri Jul 25 04:47:41 EDT 2025
Wed Oct 01 05:20:10 EDT 2025
Thu Apr 24 23:16:20 EDT 2025
Fri Feb 23 02:41:29 EST 2024
IsPeerReviewed true
IsScholarly true
Keywords Impedance spectroscopy
Fast
Algorithm
Robust
Equivalent circuit
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c409t-dc66a2f297f00bde8fd2a75b728fa6d8cb993187ab5c7c71b9cdfadf249d99233
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
PQID 2685585703
PQPubID 2045485
ParticipantIDs proquest_journals_2685585703
crossref_citationtrail_10_1016_j_electacta_2022_140474
crossref_primary_10_1016_j_electacta_2022_140474
elsevier_sciencedirect_doi_10_1016_j_electacta_2022_140474
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2022-08-01
2022-08-00
20220801
PublicationDateYYYYMMDD 2022-08-01
PublicationDate_xml – month: 08
  year: 2022
  text: 2022-08-01
  day: 01
PublicationDecade 2020
PublicationPlace Oxford
PublicationPlace_xml – name: Oxford
PublicationTitle Electrochimica acta
PublicationYear 2022
Publisher Elsevier Ltd
Elsevier BV
Publisher_xml – name: Elsevier Ltd
– name: Elsevier BV
References Sihvo, Stroe, Messo, Roinila (bib0001) 2020; 35
Leonide (bib0039) 2010
Sgura, Bozzini (bib0021) 2005; 40
Schönleber, Klotz, Ivers-Tiffée (bib0037) 2014; 131
Lyu, Li, Han (bib0030) 2019; 44
Waag, Käbitz, Sauer (bib0019) 2013; 46
Sumi, Yamaguchi, Hamamoto, Suzuki, Fujishiro, Matsui, Eguchi (bib0025) 2012; 67
Dierickx, Weber, Ivers-Tiffée (bib0026) 2020; 355
Boukamp, Rolle (bib0013) 2018; 314
Vladikova, Zoltowski, Makowska, Stoynov (bib0020) 2002; 47
Wang, He, Shen, Hu, Ma (bib0024) 2018; 33
Zhang, Chen, Yan, Chen (bib0008) 2015; 283
Effat, Ciucci (bib0011) 2017; 247
Mertens, Granwehr (bib0028) 2017; 13
Shelembe, Barendse (bib0002) 2021
Huang, Papac, O'Hayre (bib0018) 2021; 367
Wan, Saccoccio, Chen, Ciucci (bib0009) 2015; 184
Papurello, Menichini, Lanzini (bib0029) 2017; 258
Toll (bib0036) 1956; 104
Goldfarb, Idnani (bib0038) 1983; 271
Bondarenko (bib0022) 2012; 743
Leonide, Sonn, Weber, Ivers-Tiffée (bib0004) 2008; 155
Lyu, Liu, Wang, Li, Liu, Sun, Sun, Zhang, Han (bib0031) 2021; 510
Boukamp (bib0040) 2017; 252
Zhang, Chen, Li, Yan, Ni, Xia (bib0010) 2016; 308
Honerkamp, Weese (bib0005) 1990; 21
Sonn, Leonide, Ivers-Tiffée (bib0007) 2008; 155
Klotz, Schmidt, Kromp, Weber, Ivers-Tiffée (bib0027) 2012; 41
Schichlein, Müller, Voigts, Krügel, Ivers-Tiffée (bib0006) 2002; 328
Zhang, Lei, Li, Sun, Sun, Han (bib0035) 2021; 516
Lyu, Li, Wang, Han (bib0033) 2021; 485
Huang, Li, Liaw, Zhang (bib0023) 2016; 309
Cui, Li, Lyu, Wang, Han, Sun, Sun (bib0032) 2020
Gavrilyuk, Osinkin, Bronin (bib0012) 2020; 354
Liu, Ciucci (bib0015) 2020; 167
Zhang, Lei, Li, Chen, Han (bib0034) 2021; 384
Moya (bib0014) 2018; 397
Quattrocchi, Wan, Curcio, Pepe, Effat, Ciucci (bib0017) 2019; 324
Liu, Wan, Ciucci (bib0016) 2020; 357
Osinkin (bib0003) 2021; 372
Wang (10.1016/j.electacta.2022.140474_bib0024) 2018; 33
Schichlein (10.1016/j.electacta.2022.140474_bib0006) 2002; 328
Effat (10.1016/j.electacta.2022.140474_bib0011) 2017; 247
Honerkamp (10.1016/j.electacta.2022.140474_bib0005) 1990; 21
Dierickx (10.1016/j.electacta.2022.140474_bib0026) 2020; 355
Sgura (10.1016/j.electacta.2022.140474_bib0021) 2005; 40
Boukamp (10.1016/j.electacta.2022.140474_bib0013) 2018; 314
Lyu (10.1016/j.electacta.2022.140474_bib0031) 2021; 510
Lyu (10.1016/j.electacta.2022.140474_bib0030) 2019; 44
Vladikova (10.1016/j.electacta.2022.140474_bib0020) 2002; 47
Leonide (10.1016/j.electacta.2022.140474_bib0039) 2010
Quattrocchi (10.1016/j.electacta.2022.140474_bib0017) 2019; 324
Boukamp (10.1016/j.electacta.2022.140474_bib0040) 2017; 252
Zhang (10.1016/j.electacta.2022.140474_bib0008) 2015; 283
Schönleber (10.1016/j.electacta.2022.140474_bib0037) 2014; 131
Huang (10.1016/j.electacta.2022.140474_bib0018) 2021; 367
Mertens (10.1016/j.electacta.2022.140474_bib0028) 2017; 13
Sihvo (10.1016/j.electacta.2022.140474_bib0001) 2020; 35
Moya (10.1016/j.electacta.2022.140474_bib0014) 2018; 397
Klotz (10.1016/j.electacta.2022.140474_bib0027) 2012; 41
Shelembe (10.1016/j.electacta.2022.140474_bib0002) 2021
Goldfarb (10.1016/j.electacta.2022.140474_bib0038) 1983; 271
Liu (10.1016/j.electacta.2022.140474_bib0015) 2020; 167
Osinkin (10.1016/j.electacta.2022.140474_bib0003) 2021; 372
Lyu (10.1016/j.electacta.2022.140474_bib0033) 2021; 485
Papurello (10.1016/j.electacta.2022.140474_bib0029) 2017; 258
Sonn (10.1016/j.electacta.2022.140474_bib0007) 2008; 155
Waag (10.1016/j.electacta.2022.140474_bib0019) 2013; 46
Huang (10.1016/j.electacta.2022.140474_bib0023) 2016; 309
Toll (10.1016/j.electacta.2022.140474_bib0036) 1956; 104
Sumi (10.1016/j.electacta.2022.140474_bib0025) 2012; 67
Zhang (10.1016/j.electacta.2022.140474_bib0034) 2021; 384
Wan (10.1016/j.electacta.2022.140474_bib0009) 2015; 184
Gavrilyuk (10.1016/j.electacta.2022.140474_bib0012) 2020; 354
Cui (10.1016/j.electacta.2022.140474_bib0032) 2020
Leonide (10.1016/j.electacta.2022.140474_bib0004) 2008; 155
Bondarenko (10.1016/j.electacta.2022.140474_bib0022) 2012; 743
Zhang (10.1016/j.electacta.2022.140474_bib0035) 2021; 516
Zhang (10.1016/j.electacta.2022.140474_bib0010) 2016; 308
Liu (10.1016/j.electacta.2022.140474_bib0016) 2020; 357
References_xml – volume: 67
  start-page: 159
  year: 2012
  end-page: 165
  ident: bib0025
  article-title: AC impedance characteristics for anode-supported microtubular solid oxide fuel cells
  publication-title: Electrochim. Acta
– volume: 357
  year: 2020
  ident: bib0016
  article-title: A Bayesian view on the Hilbert transform and the Kramers-Kronig transform of electrochemical impedance data: probabilistic estimates and quality scores
  publication-title: Electrochim. Acta
– volume: 41
  start-page: 25
  year: 2012
  end-page: 33
  ident: bib0027
  article-title: The distribution of relaxation times as beneficial tool for equivalent circuit modeling of fuel cells and batteries
  publication-title: ECS Trans.
– volume: 258
  start-page: 98
  year: 2017
  end-page: 109
  ident: bib0029
  article-title: Distributed relaxation times technique for the determination of fuel cell losses with an equivalent circuit model to identify physicochemical processes
  publication-title: Electrochim. Acta
– volume: 283
  start-page: 464
  year: 2015
  end-page: 477
  ident: bib0008
  article-title: Reconstruction of relaxation time distribution from linear electrochemical impedance spectroscopy
  publication-title: J. Power Sources
– volume: 367
  year: 2021
  ident: bib0018
  article-title: Towards robust autonomous impedance spectroscopy analysis: a calibrated hierarchical Bayesian approach for electrochemical impedance spectroscopy (EIS) inversion
  publication-title: Electrochim. Acta
– volume: 328
  start-page: 875
  year: 2002
  end-page: 882
  ident: bib0006
  article-title: Deconvolution of electrochemical impedance spectra for the identification of electrode reaction mechanisms in solid oxide fuel cells
  publication-title: J. Appl. Electrochem.
– volume: 485
  year: 2021
  ident: bib0033
  article-title: Performance degradation of solid oxide fuel cells analyzed by evolution of electrode processes under polarization
  publication-title: J. Power Sources
– volume: 271
  start-page: 1
  year: 1983
  end-page: 33
  ident: bib0038
  article-title: A numerically stable dual method for solving strictly convex quadratic programs
  publication-title: Math. Program.
– year: 2020
  ident: bib0032
  article-title: Identification of electrode process in large-size solid oxide fuel cell
  publication-title: Acta Phys. Chim. Sin.
– volume: 35
  start-page: 2548
  year: 2020
  end-page: 2557
  ident: bib0001
  article-title: Fast approach for battery impedance identification using pseudo-random sequence signals
  publication-title: IEEE Trans. Power Electron.
– volume: 40
  start-page: 557
  year: 2005
  end-page: 570
  ident: bib0021
  article-title: Numerical issues related to the modelling of electrochemical impedance data by non-linear least-squares
  publication-title: Int. J. Non Linear Mech.
– volume: 384
  year: 2021
  ident: bib0034
  article-title: A practical approach for identifying various polarization behaviors of redox-stable electrodes in symmetrical solid oxide fuel cells
  publication-title: Electrochim. Acta
– start-page: 443
  year: 2021
  end-page: 450
  ident: bib0002
  article-title: An amplitude-modulated pseudo-random binary sequence approach to broadband impedance spectroscopy for photovoltaic module system identification
  publication-title: IEEE Energy Conversion Congress and Exposition (ECCE)
– volume: 33
  start-page: 8449
  year: 2018
  end-page: 8460
  ident: bib0024
  article-title: State of charge-dependent polynomial equivalent circuit modeling for electrochemical impedance spectroscopy of lithium-ion batteries
  publication-title: IEEE Trans. Power Electron.
– volume: 324
  year: 2019
  ident: bib0017
  article-title: A general model for the impedance of batteries and supercapacitors: the non-linear distribution of diffusion times
  publication-title: Electrochim. Acta
– volume: 131
  start-page: 20
  year: 2014
  end-page: 27
  ident: bib0037
  article-title: A method for improving the robustness of linear Kramers-Kronig validity tests
  publication-title: Electrochim. Acta
– volume: 314
  start-page: 103
  year: 2018
  end-page: 111
  ident: bib0013
  article-title: Use of a distribution function of relaxation times (DFRT) in impedance analysis of SOFC electrodes
  publication-title: Solid State Ion.
– volume: 743
  start-page: 41
  year: 2012
  end-page: 50
  ident: bib0022
  article-title: Analysis of large experimental datasets in electrochemical impedance spectroscopy
  publication-title: Anal. Chim. Acta
– volume: 155
  start-page: B36
  year: 2008
  ident: bib0004
  article-title: Evaluation and modeling of the cell resistance in anode-supported solid oxide fuel cells
  publication-title: J. Electrochem. Soc.
– volume: 397
  start-page: 124
  year: 2018
  end-page: 133
  ident: bib0014
  article-title: Identification of characteristic time constants in the initial dynamic response of electric double layer capacitors from high-frequency electrochemical impedance
  publication-title: J. Power Sources
– volume: 354
  year: 2020
  ident: bib0012
  article-title: On a variation of the Tikhonov regularization method for calculating the distribution function of relaxation times in impedance spectroscopy
  publication-title: Electrochim. Acta
– volume: 372
  year: 2021
  ident: bib0003
  article-title: An approach to the analysis of the impedance spectra of solid oxide fuel cell using the DRT technique
  publication-title: Electrochim. Acta
– volume: 355
  year: 2020
  ident: bib0026
  article-title: How the distribution of relaxation times enhances complex equivalent circuit models for fuel cells
  publication-title: Electrochim. Acta
– volume: 309
  start-page: 82
  year: 2016
  end-page: 98
  ident: bib0023
  article-title: Graphical analysis of electrochemical impedance spectroscopy data in Bode and Nyquist representations
  publication-title: J. Power Sources
– volume: 104
  start-page: 1760
  year: 1956
  ident: bib0036
  article-title: Causality and the dispersion relation: logical foundations
  publication-title: Phys. Rev.
– volume: 247
  start-page: 1117
  year: 2017
  end-page: 1129
  ident: bib0011
  article-title: Bayesian and hierarchical bayesian based regularization for deconvolving the distribution of relaxation times from electrochemical impedance spectroscopy data
  publication-title: Electrochim. Acta
– volume: 167
  year: 2020
  ident: bib0015
  article-title: The deep-prior distribution of relaxation times
  publication-title: J. Electrochem. Soc.
– volume: 46
  start-page: 4085
  year: 2013
  end-page: 4093
  ident: bib0019
  article-title: Application-specific parameterization of reduced order equivalent circuit battery models for improved accuracy at dynamic load
  publication-title: Measurement
– volume: 13
  start-page: 401
  year: 2017
  end-page: 408
  ident: bib0028
  article-title: Two-dimensional impedance data analysis by the distribution of relaxation times
  publication-title: J. Energy Storage
– volume: 21
  start-page: 17
  year: 1990
  end-page: 30
  ident: bib0005
  article-title: Tikhonovs regularization method for ill-posed problems
  publication-title: Contin. Mech. Thermodyn.
– volume: 252
  start-page: 154
  year: 2017
  end-page: 163
  ident: bib0040
  article-title: Derivation of a distribution function of relaxation times for the (fractal) finite length warburg
  publication-title: Electrochim. Acta
– volume: 184
  start-page: 483
  year: 2015
  end-page: 499
  ident: bib0009
  article-title: Influence of the discretization methods on the distribution of relaxation times deconvolution: implementing radial basis functions with DRTtools
  publication-title: Electrochim. Acta
– volume: 308
  start-page: 1
  year: 2016
  end-page: 6
  ident: bib0010
  article-title: A high-precision approach to reconstruct distribution of relaxation times from electrochemical impedance spectroscopy
  publication-title: J. Power Sources
– volume: 510
  year: 2021
  ident: bib0031
  article-title: Quantifying the performance evolution of solid oxide fuel cells during initial aging process
  publication-title: J. Power Sources
– year: 2010
  ident: bib0039
  article-title: SOFC Modelling and Parameter Identification by Means of Impedance Spectroscopy
– volume: 44
  start-page: 12151
  year: 2019
  end-page: 12162
  ident: bib0030
  article-title: Electrochemical properties and thermal neutral state of solid oxide fuel cells with direct internal reforming of methane
  publication-title: Int. J. Hydrog. Energy
– volume: 516
  year: 2021
  ident: bib0035
  article-title: Experimental investigations of cell resistances to characterize the concentration polarization behavior of 10 ×10 cm2 solid oxide fuel cells
  publication-title: J. Power Sources
– volume: 47
  start-page: 2943
  year: 2002
  end-page: 2951
  ident: bib0020
  article-title: Selectivity study of the differential impedance analysis—comparison with the complex non-linear least-squares method
  publication-title: Electrochim. Acta
– volume: 155
  start-page: B675
  year: 2008
  ident: bib0007
  article-title: Combined deconvolution and CNLS fitting approach applied on the impedance response of technical Ni∕8YSZ cermet electrodes
  publication-title: J. Electrochem. Soc.
– volume: 167
  year: 2020
  ident: 10.1016/j.electacta.2022.140474_bib0015
  article-title: The deep-prior distribution of relaxation times
  publication-title: J. Electrochem. Soc.
– volume: 67
  start-page: 159
  year: 2012
  ident: 10.1016/j.electacta.2022.140474_bib0025
  article-title: AC impedance characteristics for anode-supported microtubular solid oxide fuel cells
  publication-title: Electrochim. Acta
  doi: 10.1016/j.electacta.2012.02.021
– volume: 516
  year: 2021
  ident: 10.1016/j.electacta.2022.140474_bib0035
  article-title: Experimental investigations of cell resistances to characterize the concentration polarization behavior of 10 ×10 cm2 solid oxide fuel cells
  publication-title: J. Power Sources
  doi: 10.1016/j.jpowsour.2021.230678
– volume: 283
  start-page: 464
  year: 2015
  ident: 10.1016/j.electacta.2022.140474_bib0008
  article-title: Reconstruction of relaxation time distribution from linear electrochemical impedance spectroscopy
  publication-title: J. Power Sources
  doi: 10.1016/j.jpowsour.2015.02.107
– volume: 510
  year: 2021
  ident: 10.1016/j.electacta.2022.140474_bib0031
  article-title: Quantifying the performance evolution of solid oxide fuel cells during initial aging process
  publication-title: J. Power Sources
  doi: 10.1016/j.jpowsour.2021.230432
– volume: 155
  start-page: B36
  year: 2008
  ident: 10.1016/j.electacta.2022.140474_bib0004
  article-title: Evaluation and modeling of the cell resistance in anode-supported solid oxide fuel cells
  publication-title: J. Electrochem. Soc.
  doi: 10.1149/1.2801372
– volume: 155
  start-page: B675
  year: 2008
  ident: 10.1016/j.electacta.2022.140474_bib0007
  article-title: Combined deconvolution and CNLS fitting approach applied on the impedance response of technical Ni∕8YSZ cermet electrodes
  publication-title: J. Electrochem. Soc.
  doi: 10.1149/1.2908860
– volume: 367
  year: 2021
  ident: 10.1016/j.electacta.2022.140474_bib0018
  article-title: Towards robust autonomous impedance spectroscopy analysis: a calibrated hierarchical Bayesian approach for electrochemical impedance spectroscopy (EIS) inversion
  publication-title: Electrochim. Acta
  doi: 10.1016/j.electacta.2020.137493
– volume: 324
  year: 2019
  ident: 10.1016/j.electacta.2022.140474_bib0017
  article-title: A general model for the impedance of batteries and supercapacitors: the non-linear distribution of diffusion times
  publication-title: Electrochim. Acta
  doi: 10.1016/j.electacta.2019.134853
– volume: 485
  year: 2021
  ident: 10.1016/j.electacta.2022.140474_bib0033
  article-title: Performance degradation of solid oxide fuel cells analyzed by evolution of electrode processes under polarization
  publication-title: J. Power Sources
  doi: 10.1016/j.jpowsour.2020.229237
– year: 2010
  ident: 10.1016/j.electacta.2022.140474_bib0039
– volume: 40
  start-page: 557
  year: 2005
  ident: 10.1016/j.electacta.2022.140474_bib0021
  article-title: Numerical issues related to the modelling of electrochemical impedance data by non-linear least-squares
  publication-title: Int. J. Non Linear Mech.
  doi: 10.1016/j.ijnonlinmec.2004.03.004
– volume: 258
  start-page: 98
  year: 2017
  ident: 10.1016/j.electacta.2022.140474_bib0029
  article-title: Distributed relaxation times technique for the determination of fuel cell losses with an equivalent circuit model to identify physicochemical processes
  publication-title: Electrochim. Acta
  doi: 10.1016/j.electacta.2017.10.052
– volume: 104
  start-page: 1760
  year: 1956
  ident: 10.1016/j.electacta.2022.140474_bib0036
  article-title: Causality and the dispersion relation: logical foundations
  publication-title: Phys. Rev.
  doi: 10.1103/PhysRev.104.1760
– volume: 44
  start-page: 12151
  year: 2019
  ident: 10.1016/j.electacta.2022.140474_bib0030
  article-title: Electrochemical properties and thermal neutral state of solid oxide fuel cells with direct internal reforming of methane
  publication-title: Int. J. Hydrog. Energy
  doi: 10.1016/j.ijhydene.2019.03.048
– volume: 41
  start-page: 25
  year: 2012
  ident: 10.1016/j.electacta.2022.140474_bib0027
  article-title: The distribution of relaxation times as beneficial tool for equivalent circuit modeling of fuel cells and batteries
  publication-title: ECS Trans.
  doi: 10.1149/1.3692958
– volume: 184
  start-page: 483
  year: 2015
  ident: 10.1016/j.electacta.2022.140474_bib0009
  article-title: Influence of the discretization methods on the distribution of relaxation times deconvolution: implementing radial basis functions with DRTtools
  publication-title: Electrochim. Acta
  doi: 10.1016/j.electacta.2015.09.097
– volume: 35
  start-page: 2548
  year: 2020
  ident: 10.1016/j.electacta.2022.140474_bib0001
  article-title: Fast approach for battery impedance identification using pseudo-random sequence signals
  publication-title: IEEE Trans. Power Electron.
  doi: 10.1109/TPEL.2019.2924286
– volume: 21
  start-page: 17
  issue: 2
  year: 1990
  ident: 10.1016/j.electacta.2022.140474_bib0005
  article-title: Tikhonovs regularization method for ill-posed problems
  publication-title: Contin. Mech. Thermodyn.
  doi: 10.1007/BF01170953
– volume: 33
  start-page: 8449
  year: 2018
  ident: 10.1016/j.electacta.2022.140474_bib0024
  article-title: State of charge-dependent polynomial equivalent circuit modeling for electrochemical impedance spectroscopy of lithium-ion batteries
  publication-title: IEEE Trans. Power Electron.
  doi: 10.1109/TPEL.2017.2780184
– volume: 355
  year: 2020
  ident: 10.1016/j.electacta.2022.140474_bib0026
  article-title: How the distribution of relaxation times enhances complex equivalent circuit models for fuel cells
  publication-title: Electrochim. Acta
  doi: 10.1016/j.electacta.2020.136764
– volume: 384
  year: 2021
  ident: 10.1016/j.electacta.2022.140474_bib0034
  article-title: A practical approach for identifying various polarization behaviors of redox-stable electrodes in symmetrical solid oxide fuel cells
  publication-title: Electrochim. Acta
  doi: 10.1016/j.electacta.2021.138340
– volume: 314
  start-page: 103
  year: 2018
  ident: 10.1016/j.electacta.2022.140474_bib0013
  article-title: Use of a distribution function of relaxation times (DFRT) in impedance analysis of SOFC electrodes
  publication-title: Solid State Ion.
  doi: 10.1016/j.ssi.2017.11.021
– volume: 13
  start-page: 401
  year: 2017
  ident: 10.1016/j.electacta.2022.140474_bib0028
  article-title: Two-dimensional impedance data analysis by the distribution of relaxation times
  publication-title: J. Energy Storage
  doi: 10.1016/j.est.2017.07.029
– volume: 46
  start-page: 4085
  year: 2013
  ident: 10.1016/j.electacta.2022.140474_bib0019
  article-title: Application-specific parameterization of reduced order equivalent circuit battery models for improved accuracy at dynamic load
  publication-title: Measurement
  doi: 10.1016/j.measurement.2013.07.025
– volume: 271
  start-page: 1
  issue: 27
  year: 1983
  ident: 10.1016/j.electacta.2022.140474_bib0038
  article-title: A numerically stable dual method for solving strictly convex quadratic programs
  publication-title: Math. Program.
  doi: 10.1007/BF02591962
– volume: 354
  year: 2020
  ident: 10.1016/j.electacta.2022.140474_bib0012
  article-title: On a variation of the Tikhonov regularization method for calculating the distribution function of relaxation times in impedance spectroscopy
  publication-title: Electrochim. Acta
  doi: 10.1016/j.electacta.2020.136683
– volume: 328
  start-page: 875
  issue: 32
  year: 2002
  ident: 10.1016/j.electacta.2022.140474_bib0006
  article-title: Deconvolution of electrochemical impedance spectra for the identification of electrode reaction mechanisms in solid oxide fuel cells
  publication-title: J. Appl. Electrochem.
  doi: 10.1023/A:1020599525160
– year: 2020
  ident: 10.1016/j.electacta.2022.140474_bib0032
  article-title: Identification of electrode process in large-size solid oxide fuel cell
  publication-title: Acta Phys. Chim. Sin.
  doi: 10.3866/PKU.WHXB202011009
– volume: 308
  start-page: 1
  year: 2016
  ident: 10.1016/j.electacta.2022.140474_bib0010
  article-title: A high-precision approach to reconstruct distribution of relaxation times from electrochemical impedance spectroscopy
  publication-title: J. Power Sources
  doi: 10.1016/j.jpowsour.2016.01.067
– volume: 47
  start-page: 2943
  year: 2002
  ident: 10.1016/j.electacta.2022.140474_bib0020
  article-title: Selectivity study of the differential impedance analysis—comparison with the complex non-linear least-squares method
  publication-title: Electrochim. Acta
  doi: 10.1016/S0013-4686(02)00187-1
– start-page: 443
  year: 2021
  ident: 10.1016/j.electacta.2022.140474_bib0002
  article-title: An amplitude-modulated pseudo-random binary sequence approach to broadband impedance spectroscopy for photovoltaic module system identification
– volume: 357
  year: 2020
  ident: 10.1016/j.electacta.2022.140474_bib0016
  article-title: A Bayesian view on the Hilbert transform and the Kramers-Kronig transform of electrochemical impedance data: probabilistic estimates and quality scores
  publication-title: Electrochim. Acta
  doi: 10.1016/j.electacta.2020.136864
– volume: 743
  start-page: 41
  year: 2012
  ident: 10.1016/j.electacta.2022.140474_bib0022
  article-title: Analysis of large experimental datasets in electrochemical impedance spectroscopy
  publication-title: Anal. Chim. Acta
  doi: 10.1016/j.aca.2012.06.055
– volume: 131
  start-page: 20
  year: 2014
  ident: 10.1016/j.electacta.2022.140474_bib0037
  article-title: A method for improving the robustness of linear Kramers-Kronig validity tests
  publication-title: Electrochim. Acta
  doi: 10.1016/j.electacta.2014.01.034
– volume: 372
  year: 2021
  ident: 10.1016/j.electacta.2022.140474_bib0003
  article-title: An approach to the analysis of the impedance spectra of solid oxide fuel cell using the DRT technique
  publication-title: Electrochim. Acta
  doi: 10.1016/j.electacta.2021.137858
– volume: 252
  start-page: 154
  year: 2017
  ident: 10.1016/j.electacta.2022.140474_bib0040
  article-title: Derivation of a distribution function of relaxation times for the (fractal) finite length warburg
  publication-title: Electrochim. Acta
  doi: 10.1016/j.electacta.2017.08.154
– volume: 247
  start-page: 1117
  year: 2017
  ident: 10.1016/j.electacta.2022.140474_bib0011
  article-title: Bayesian and hierarchical bayesian based regularization for deconvolving the distribution of relaxation times from electrochemical impedance spectroscopy data
  publication-title: Electrochim. Acta
  doi: 10.1016/j.electacta.2017.07.050
– volume: 309
  start-page: 82
  year: 2016
  ident: 10.1016/j.electacta.2022.140474_bib0023
  article-title: Graphical analysis of electrochemical impedance spectroscopy data in Bode and Nyquist representations
  publication-title: J. Power Sources
  doi: 10.1016/j.jpowsour.2016.01.073
– volume: 397
  start-page: 124
  year: 2018
  ident: 10.1016/j.electacta.2022.140474_bib0014
  article-title: Identification of characteristic time constants in the initial dynamic response of electric double layer capacitors from high-frequency electrochemical impedance
  publication-title: J. Power Sources
  doi: 10.1016/j.jpowsour.2018.07.015
SSID ssj0007670
Score 2.609312
Snippet •Robust and fast ECM fitting algorithm has been developed and tested on noisy impedance spectra, with source code available at...
The Equivalent Circuit Model (ECM) is a powerful technique to quantitatively analyze and compare Electrochemical Impedance Spectroscopy (EIS) data. In...
SourceID proquest
crossref
elsevier
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 140474
SubjectTerms Algorithm
Algorithms
Electrochemical impedance spectroscopy
Equivalent circuit
Equivalent circuits
Fast
Fuel cells
Impedance spectroscopy
Measuring instruments
Outliers (statistics)
Robust
Robustness
Run time (computers)
Time measurement
Title Robust and fast estimation of equivalent circuit model from noisy electrochemical impedance spectra
URI https://dx.doi.org/10.1016/j.electacta.2022.140474
https://www.proquest.com/docview/2685585703
Volume 422
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVESC
  databaseName: Baden-Württemberg Complete Freedom Collection (Elsevier)
  customDbUrl:
  eissn: 1873-3859
  dateEnd: 99991231
  omitProxy: true
  ssIdentifier: ssj0007670
  issn: 0013-4686
  databaseCode: GBLVA
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
– providerCode: PRVESC
  databaseName: Elsevier SD Complete Freedom Collection [SCCMFC]
  customDbUrl:
  eissn: 1873-3859
  dateEnd: 99991231
  omitProxy: true
  ssIdentifier: ssj0007670
  issn: 0013-4686
  databaseCode: ACRLP
  dateStart: 19950101
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
– providerCode: PRVESC
  databaseName: Elsevier SD Freedom Collection Journals [SCFCJ]
  customDbUrl:
  eissn: 1873-3859
  dateEnd: 99991231
  omitProxy: true
  ssIdentifier: ssj0007670
  issn: 0013-4686
  databaseCode: AIKHN
  dateStart: 19950101
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
– providerCode: PRVESC
  databaseName: ScienceDirect Freedom Collection 2013
  customDbUrl:
  eissn: 1873-3859
  dateEnd: 99991231
  omitProxy: true
  ssIdentifier: ssj0007670
  issn: 0013-4686
  databaseCode: .~1
  dateStart: 19950101
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
– providerCode: PRVLSH
  databaseName: Elsevier Journals
  customDbUrl:
  mediaType: online
  eissn: 1873-3859
  dateEnd: 99991231
  omitProxy: true
  ssIdentifier: ssj0007670
  issn: 0013-4686
  databaseCode: AKRWK
  dateStart: 19940101
  isFulltext: true
  providerName: Library Specific Holdings
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8NAEF6KHtSDaFWsVtmD12gezW7irRSlKvYgFrwt-8hCRNLapgcv_nZnkk21gvQg5JCEbAizk3nAfN9HyEXGFUt44sMvbqFBYYH1FHRCnoLqNVA-T5VGcPLjiA3HvfuX-KVFBg0WBscqXeyvY3oVrd2dK2fNq2meI8Y3iHoIcMCuOGLI-InsX-DTl5_fYx6ccb9RMcCnV2a8KqkZCQc0imF4iVQzvPdXhvoVq6sEdLtHdl3lSPv1x-2TVla0ydagEWxrk50f3IIHRD9N1GJeUlkYaiWcIJ1GjVOkE0uz90UOTgYph-p8phd5SStRHIp4E1pM8vkHdRI52nEK0BxKbINeQit85kwekvHtzfNg6DlFBU9DH1d6RjMmQxum3Pq-MlliTSh5rHiYWMlMohWUK0HCpYo11zxQqTZWGgs9mkmhFIyOyEYxKbJjQgMVhdr3szjjssdtogyXXBuZGiQNk6ZDWGNFoR3dOKpevIlmruxVLM0v0PyiNn-H-MuF05pxY_2S62abxIrzCMgL6xd3m40V7v-di5AlcYzc_9HJf959Srbxqh4Y7JKNcrbIzqCIKdV55aXnZLN_9zAcfQEYs_Qn
linkProvider Elsevier
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8NAEB5qPagH8Yn1uQev0Tx3E2-lKFVrD6LgbdlHFiKS1jY9-O-dTTZFBfEg5BASJoTZ2dkZmO_7AM5zJmnKUh-3uMEGhQbGk9gJeRKr10D6LJPKgpMfxnT4HN-9JC8dGLRYGDtW6XJ_k9PrbO2eXDpvXk6LwmJ8gyi2AAfbFUc0WoHVOMGc3IXV_u39cLxMyIwyvxUysAbfxrxqtRmBF_aKYXhh2WZY_Nsh9SNd12fQzRZsuuKR9Jv_24ZOXu7A2qDVbNuBjS_0grugHidyMa-IKDUxAm8so0YDVSQTQ_L3RYFxhqcOUcVMLYqK1Lo4xEJOSDkp5h_EqeQoRytACqyytQ0UUkM0Z2IPnm-unwZDz4kqeApbucrTilIRmjBjxvelzlOjQ8ESycLUCKpTJbFiCVImZKKYYoHMlDZCG2zTdIbVYLQP3XJS5gdAAhmFyvfzJGciZiaVmgmmtMi05Q0Tuge09SJXjnHcCl-88Xa07JUv3c-t-3nj_h74S8NpQ7rxt8lVu0z8W_xwPBr-Nj5uF5a7LTznIU2TxNL_R4f_-fYZrA2fHkZ8dDu-P4J1-6aZHzyGbjVb5CdY01Ty1MXsJ1499tI
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=Robust+and+fast+estimation+of+equivalent+circuit+model+from+noisy+electrochemical+impedance+spectra&rft.jtitle=Electrochimica+acta&rft.au=Li%2C+Hangyue&rft.au=Lyu%2C+Zewei&rft.au=Han%2C+Minfang&rft.date=2022-08-01&rft.pub=Elsevier+BV&rft.issn=0013-4686&rft.eissn=1873-3859&rft.volume=422&rft.spage=1&rft_id=info:doi/10.1016%2Fj.electacta.2022.140474&rft.externalDBID=NO_FULL_TEXT
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0013-4686&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0013-4686&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0013-4686&client=summon