Fruit fly optimization algorithm multi-objective control method for MMC traction power supply system with unbalanced distribution network

When distribution voltage is unbalanced, the voltage and current on the AC side of the traction power supply system based on a modular multilevel converter (MMC) will have negative sequence components, causing reactive and active power fluctuations. At this time, the circulation current will also oc...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:International journal of dynamics and control Jg. 10; H. 6; S. 1922 - 1933
Hauptverfasser: Pan, Hongbin, Qin, Kai, Zhang, Jiale, Yuan, Changmin
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2022
Springer Nature B.V
Schlagworte:
ISSN:2195-268X, 2195-2698
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Abstract When distribution voltage is unbalanced, the voltage and current on the AC side of the traction power supply system based on a modular multilevel converter (MMC) will have negative sequence components, causing reactive and active power fluctuations. At this time, the circulation current will also occur in the MMC, threatening the safety and operation of the system. Based on the analysis of the power fluctuation mechanism, this paper derives the expression of the multi-objective control function combined with the universal current calculation formula. The fruit fly optimization algorithm (FOA) minimizes the multi-objective function and achieves the purpose of suppressing the coordinated control of the three objectives of negative sequence current and active and reactive power fluctuations. The resonant vector controller (RVC) was used to suppress the circulation current in MMC system. A simulation model was built to verify the effectiveness of the proposed strategy and algorithm.
AbstractList When distribution voltage is unbalanced, the voltage and current on the AC side of the traction power supply system based on a modular multilevel converter (MMC) will have negative sequence components, causing reactive and active power fluctuations. At this time, the circulation current will also occur in the MMC, threatening the safety and operation of the system. Based on the analysis of the power fluctuation mechanism, this paper derives the expression of the multi-objective control function combined with the universal current calculation formula. The fruit fly optimization algorithm (FOA) minimizes the multi-objective function and achieves the purpose of suppressing the coordinated control of the three objectives of negative sequence current and active and reactive power fluctuations. The resonant vector controller (RVC) was used to suppress the circulation current in MMC system. A simulation model was built to verify the effectiveness of the proposed strategy and algorithm.
Author Yuan, Changmin
Zhang, Jiale
Pan, Hongbin
Qin, Kai
Author_xml – sequence: 1
  givenname: Hongbin
  surname: Pan
  fullname: Pan, Hongbin
  organization: College of Automation and Electronic Information, Xiangta University
– sequence: 2
  givenname: Kai
  orcidid: 0000-0002-3290-6726
  surname: Qin
  fullname: Qin, Kai
  email: 422681948@qq.com
  organization: College of Automation and Electronic Information, Xiangta University
– sequence: 3
  givenname: Jiale
  surname: Zhang
  fullname: Zhang, Jiale
  organization: College of Automation and Electronic Information, Xiangta University
– sequence: 4
  givenname: Changmin
  surname: Yuan
  fullname: Yuan, Changmin
  organization: College of Automation and Electronic Information, Xiangta University
BookMark eNp9kM1O3DAURq2KSgXKC3RliXXotZ2MnWU1KqUSiA2VurP8F_A0sVPb6Wh4A966Zga1EgtW9y7u-b6rc4KOQgwOoU8ELggA_5xbaFnXAKUNQE95w96hY0r6rqGrXhz928XPD-gs5w0AUNICbftj9HSZFl_wMO5wnIuf_KMqPgasxvuYfHmY8LSMxTdRb5wp_o_DJoaS4ognVx6ixUNM-OZmjUtSZk_OcesSzss818y8y8VNeFuT8BK0GlUwzmLrc0leL3sguLKN6ddH9H5QY3ZnL_MU_bj8ere-aq5vv31ff7luDCN9aerfwlLHiO7oyjjNwRixcoMGBb0lVLTAnWId44N2jGoyUGs1aMuFBVCCnaLzQ-6c4u_F5SI3cUmhVkrKaQ8dbwWvV_RwZVLMOblBzslPKu0kAflsXR6sy2pd7q1LViHxCjK-7H1WO358G2UHNNeecO_S_6_eoP4C3GKc1g
CitedBy_id crossref_primary_10_1109_TEC_2025_3539425
crossref_primary_10_1007_s10462_023_10451_1
crossref_primary_10_1007_s40435_023_01313_3
Cites_doi 10.1109/TPEL.2017.2717541
10.1016/j.asoc.2021.107641
10.17775/CSEEJPES.2020.02260
10.1109/TPWRD.2020.3011228
10.1016/j.measurement.2020.107963
10.1109/TIA.2021.3092298
10.1109/iSPEC48194.2019.8975154
10.1109/ECCE44975.2020.9235980
10.1109/ICECA49313.2020.9297599
10.1109/ECCE44975.2020.9235357
ContentType Journal Article
Copyright The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022
The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022.
Copyright_xml – notice: The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022
– notice: The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022.
DBID AAYXX
CITATION
DOI 10.1007/s40435-022-00927-3
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList

DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 2195-2698
EndPage 1933
ExternalDocumentID 10_1007_s40435_022_00927_3
GrantInformation_xml – fundername: Natural Science Foundation of Hunan Province
  grantid: 2021JJ30674
  funderid: http://dx.doi.org/10.13039/501100004735
GroupedDBID -EM
0R~
30V
4.4
406
96X
AACDK
AAHNG
AAIAL
AAJBT
AAJKR
AANZL
AARHV
AARTL
AASML
AATNV
AATVU
AAUYE
AAWCG
AAYIU
AAYQN
AAYTO
AAZMS
ABAKF
ABDZT
ABECU
ABFTV
ABJNI
ABJOX
ABKCH
ABMQK
ABQBU
ABTEG
ABTKH
ABTMW
ABXPI
ACAOD
ACDTI
ACGFS
ACHSB
ACIWK
ACKNC
ACMLO
ACOKC
ACPIV
ACZOJ
ADHHG
ADHIR
ADINQ
ADKNI
ADRFC
ADURQ
ADYFF
ADZKW
AEBTG
AEFQL
AEGNC
AEJHL
AEJRE
AEMSY
AEOHA
AEPYU
AESKC
AETCA
AEVLU
AEXYK
AFBBN
AFLOW
AFQWF
AFWTZ
AFZKB
AGAYW
AGDGC
AGJBK
AGMZJ
AGQEE
AGQMX
AGRTI
AGWZB
AGYKE
AHAVH
AHBYD
AHKAY
AHSBF
AHYZX
AIAKS
AIGIU
AILAN
AITGF
AJBLW
AJRNO
AJZVZ
AKLTO
ALFXC
ALMA_UNASSIGNED_HOLDINGS
AMKLP
AMXSW
AMYLF
AMYQR
ANMIH
ASPBG
AUKKA
AVWKF
AVXWI
AXYYD
AZFZN
BGNMA
DNIVK
DPUIP
EBLON
EBS
EIOEI
EJD
ESBYG
FEDTE
FERAY
FIGPU
FINBP
FNLPD
FRRFC
FSGXE
FYJPI
GGCAI
GGRSB
GJIRD
H13
HMJXF
HRMNR
HVGLF
HZ~
I0C
IKXTQ
IWAJR
J-C
JBSCW
JZLTJ
KOV
LLZTM
M4Y
NPVJJ
NQJWS
NU0
O9-
O9J
PT4
RLLFE
ROL
RSV
SCL
SHX
SJYHP
SNE
SNPRN
SNX
SOHCF
SOJ
SPISZ
SRMVM
SSLCW
STPWE
TSG
UG4
UOJIU
UTJUX
UZXMN
VFIZW
W48
ZMTXR
AAYXX
ABBRH
ABDBE
ABFSG
ABJCF
ABRTQ
ACSTC
AEZWR
AFDZB
AFFHD
AFHIU
AFKRA
AFOHR
AHPBZ
AHWEU
AIXLP
ARAPS
ATHPR
AYFIA
BENPR
BGLVJ
CCPQU
CITATION
HCIFZ
M7S
PHGZM
PHGZT
PQGLB
PTHSS
ID FETCH-LOGICAL-c319t-4028d2e31b526ceb70cc86efb0a09d128407ea3537fbe32b1f2ddb0bd78d00a83
IEDL.DBID RSV
ISICitedReferencesCount 3
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001054766400014&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 2195-268X
IngestDate Thu Sep 18 00:06:14 EDT 2025
Tue Nov 18 21:09:29 EST 2025
Sat Nov 29 03:59:54 EST 2025
Fri Feb 21 02:47:32 EST 2025
IsPeerReviewed false
IsScholarly true
Issue 6
Keywords Modular multilevel converter
Coordinated control of power and current
Fruit fly optimization algorithm
Circulation suppression
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c319t-4028d2e31b526ceb70cc86efb0a09d128407ea3537fbe32b1f2ddb0bd78d00a83
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0002-3290-6726
PQID 2729057487
PQPubID 2043900
PageCount 12
ParticipantIDs proquest_journals_2729057487
crossref_primary_10_1007_s40435_022_00927_3
crossref_citationtrail_10_1007_s40435_022_00927_3
springer_journals_10_1007_s40435_022_00927_3
PublicationCentury 2000
PublicationDate 2022-12-01
PublicationDateYYYYMMDD 2022-12-01
PublicationDate_xml – month: 12
  year: 2022
  text: 2022-12-01
  day: 01
PublicationDecade 2020
PublicationPlace Berlin/Heidelberg
PublicationPlace_xml – name: Berlin/Heidelberg
– name: Heidelberg
PublicationTitle International journal of dynamics and control
PublicationTitleAbbrev Int. J. Dynam. Control
PublicationYear 2022
Publisher Springer Berlin Heidelberg
Springer Nature B.V
Publisher_xml – name: Springer Berlin Heidelberg
– name: Springer Nature B.V
References Zhang, Bai, Yan (CR6) 2021; 41
Chen, Hua, Lingxiao, Chunyi (CR21) 2019; 34
Shen, Zhou (CR2) 2019; 30
CR3
Isik, Alharbi, Bhattacharya (CR20) 2021
CR17
Hou (CR4) 2020
Yang, Gui (CR14) 2015; 30
Cheng, Sun, Cheng, Tan, Tao, Chen (CR7) 2019; 39
Liang (CR8) 2017; 37
Wan, Xi, Hai-lin, Wan (CR16) 2018; 42
Ou, Wang (CR9) 2018; 38
CR12
CR11
Sga, Aa, Se (CR19) 2020; 164
Pahnehkolaei, Alfi, Machado (CR18) 2021; 111
Liang, Yang, Liu, Zhang (CR5) 2015; 30
Jin, Shen, Tai-xin, Guo (CR15) 2019; 34
Ou, Wang, Zhang (CR10) 2018; 33
Meng, Zou, Wang, Kong, Du, Wang (CR1) 2021; 36
Wang, Ou, Chen, Chen, Xiao, Xu (CR13) 2017; 37
S Isik (927_CR20) 2021
M Shen (927_CR2) 2019; 30
J-P Zhang (927_CR6) 2021; 41
T Jin (927_CR15) 2019; 34
Y-y Liang (927_CR5) 2015; 30
927_CR3
T Yang (927_CR14) 2015; 30
Z-J Ou (927_CR9) 2018; 38
Q-M Cheng (927_CR7) 2019; 39
L Hou (927_CR4) 2020
Y Wang (927_CR13) 2017; 37
X-F Wan (927_CR16) 2018; 42
Y Meng (927_CR1) 2021; 36
Z Ou (927_CR10) 2018; 33
927_CR17
Y-Y Liang (927_CR8) 2017; 37
927_CR12
S Pahnehkolaei (927_CR18) 2021; 111
B Sga (927_CR19) 2020; 164
Z Chen (927_CR21) 2019; 34
927_CR11
References_xml – volume: 33
  start-page: 3826
  issue: 5
  year: 2018
  end-page: 3836
  ident: CR10
  article-title: Modular multilevel converter control strategy based on arm current control under unbalanced grid condition
  publication-title: IEEE Trans Power Electron
  doi: 10.1109/TPEL.2017.2717541
– volume: 30
  start-page: 1
  issue: 01
  year: 2019
  end-page: 7
  ident: CR2
  article-title: Development status and trend of domestic and foreign railway traction power supply technology
  publication-title: Electrif Railway
– volume: 38
  start-page: 258
  issue: 01
  year: 2018
  end-page: 265+363
  ident: CR9
  article-title: Control strategy for modular multilevel converters under power grid voltage asymmetry
  publication-title: Proceed CSEE
– volume: 111
  start-page: 107641
  year: 2021
  ident: CR18
  article-title: Particle swarm optimization algorithm using complex-order derivative concept: A comprehensive study
  publication-title: Appl Soft Comput
  doi: 10.1016/j.asoc.2021.107641
– ident: CR3
– year: 2020
  ident: CR4
  article-title: A novel DC traction power supply system based on the modular multilevel converter suitable for energy feeding and de-icing
  publication-title: CSEE J Power Energy Syst
  doi: 10.17775/CSEEJPES.2020.02260
– volume: 34
  start-page: 1924
  issue: 09
  year: 2019
  end-page: 1933
  ident: CR21
  article-title: MMC dual-circuit circulation suppression strategy under unbalanced state
  publication-title: Trans China Electrotech Soc
– ident: CR12
– ident: CR17
– volume: 36
  start-page: 1542
  issue: 3
  year: 2021
  end-page: 1551
  ident: CR1
  article-title: Novel submodule topology with large current operation and DC-fault blocking capability for MMC-HVDC
  publication-title: IEEE Trans Power Delivery
  doi: 10.1109/TPWRD.2020.3011228
– volume: 37
  start-page: 6981
  issue: 23
  year: 2017
  end-page: 6987+7089
  ident: CR13
  article-title: Power fluctuation suppression and current balance coordination control method of grid-connected inverter under unbalanced voltage
  publication-title: Proceed CSEE
– volume: 164
  start-page: 107963
  year: 2020
  ident: CR19
  article-title: Unequal limit cuckoo optimization algorithm applied for optimal design of nonlinear field calibration problem of a triaxial accelerometer
  publication-title: Measurement
  doi: 10.1016/j.measurement.2020.107963
– volume: 30
  start-page: 15
  issue: 15
  year: 2015
  end-page: 25
  ident: CR5
  article-title: Direct power control of MMC-HVDC without differential beat when the grid voltage is unbalanced
  publication-title: Trans China Electrotech Soc
– ident: CR11
– volume: 39
  start-page: 78
  issue: 04
  year: 2019
  end-page: 85
  ident: CR7
  article-title: Passive control strategy of MMC under unbalanced grid voltage
  publication-title: Power Autom Equip
– volume: 37
  start-page: 7294
  issue: 24
  year: 2017
  end-page: 7303+7444
  ident: CR8
  article-title: MMC-HVDC direct power control strategy based on reduced vector resonator under asymmetric grid voltage
  publication-title: Proceed CSEE
– volume: 41
  start-page: 2363
  issue: 07
  year: 2021
  end-page: 2373
  ident: CR6
  article-title: Research on improved model predictive control strategy for MMC-HVDC
  publication-title: Proceed CSEE
– volume: 42
  start-page: 1628
  issue: 05
  year: 2018
  end-page: 1635
  ident: CR16
  article-title: Multi-objective optimal control of grid-connected inverter based on fruit fly algorithm in unbalanced power grid
  publication-title: Power Grid Technol
– volume: 34
  start-page: 2342
  issue: 11
  year: 2019
  end-page: 2353
  ident: CR15
  article-title: Model predictive current limiting control for grid-connected inverters in unbalanced power grid
  publication-title: Trans China Electrotech Soc
– volume: 30
  start-page: 148
  issue: 11
  year: 2015
  end-page: 157
  ident: CR14
  article-title: Research on multi-objective coordinated control strategy of grid-connected inverter under unbalanced power grid
  publication-title: Trans China Electrotech Soc
– year: 2021
  ident: CR20
  article-title: An optimized circulating current control method based on PR and PI controller for MMC applications
  publication-title: IEEE Trans Industry Appl
  doi: 10.1109/TIA.2021.3092298
– volume: 37
  start-page: 6981
  issue: 23
  year: 2017
  ident: 927_CR13
  publication-title: Proceed CSEE
– volume: 30
  start-page: 15
  issue: 15
  year: 2015
  ident: 927_CR5
  publication-title: Trans China Electrotech Soc
– volume: 30
  start-page: 1
  issue: 01
  year: 2019
  ident: 927_CR2
  publication-title: Electrif Railway
– volume: 38
  start-page: 258
  issue: 01
  year: 2018
  ident: 927_CR9
  publication-title: Proceed CSEE
– volume: 39
  start-page: 78
  issue: 04
  year: 2019
  ident: 927_CR7
  publication-title: Power Autom Equip
– volume: 36
  start-page: 1542
  issue: 3
  year: 2021
  ident: 927_CR1
  publication-title: IEEE Trans Power Delivery
  doi: 10.1109/TPWRD.2020.3011228
– year: 2020
  ident: 927_CR4
  publication-title: CSEE J Power Energy Syst
  doi: 10.17775/CSEEJPES.2020.02260
– volume: 33
  start-page: 3826
  issue: 5
  year: 2018
  ident: 927_CR10
  publication-title: IEEE Trans Power Electron
  doi: 10.1109/TPEL.2017.2717541
– volume: 34
  start-page: 2342
  issue: 11
  year: 2019
  ident: 927_CR15
  publication-title: Trans China Electrotech Soc
– volume: 41
  start-page: 2363
  issue: 07
  year: 2021
  ident: 927_CR6
  publication-title: Proceed CSEE
– volume: 164
  start-page: 107963
  year: 2020
  ident: 927_CR19
  publication-title: Measurement
  doi: 10.1016/j.measurement.2020.107963
– year: 2021
  ident: 927_CR20
  publication-title: IEEE Trans Industry Appl
  doi: 10.1109/TIA.2021.3092298
– volume: 37
  start-page: 7294
  issue: 24
  year: 2017
  ident: 927_CR8
  publication-title: Proceed CSEE
– ident: 927_CR17
  doi: 10.1109/iSPEC48194.2019.8975154
– volume: 111
  start-page: 107641
  year: 2021
  ident: 927_CR18
  publication-title: Appl Soft Comput
  doi: 10.1016/j.asoc.2021.107641
– ident: 927_CR12
  doi: 10.1109/ECCE44975.2020.9235980
– ident: 927_CR3
  doi: 10.1109/ICECA49313.2020.9297599
– ident: 927_CR11
  doi: 10.1109/ECCE44975.2020.9235357
– volume: 34
  start-page: 1924
  issue: 09
  year: 2019
  ident: 927_CR21
  publication-title: Trans China Electrotech Soc
– volume: 42
  start-page: 1628
  issue: 05
  year: 2018
  ident: 927_CR16
  publication-title: Power Grid Technol
– volume: 30
  start-page: 148
  issue: 11
  year: 2015
  ident: 927_CR14
  publication-title: Trans China Electrotech Soc
SSID ssj0002140249
ssib031263557
Score 2.238382
Snippet When distribution voltage is unbalanced, the voltage and current on the AC side of the traction power supply system based on a modular multilevel converter...
SourceID proquest
crossref
springer
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 1922
SubjectTerms Algorithms
Alternating current
Complexity
Control
Control and Systems Theory
Control methods
Dynamical Systems
Electric potential
Electric power supplies
Engineering
Modular systems
Multiple objective analysis
Optimization
Reactive power
Traction
Unbalance
Vibration
Voltage
Title Fruit fly optimization algorithm multi-objective control method for MMC traction power supply system with unbalanced distribution network
URI https://link.springer.com/article/10.1007/s40435-022-00927-3
https://www.proquest.com/docview/2729057487
Volume 10
WOSCitedRecordID wos001054766400014&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVAVX
  databaseName: SpringerLINK Contemporary 1997-Present
  customDbUrl:
  eissn: 2195-2698
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0002140249
  issn: 2195-268X
  databaseCode: RSV
  dateStart: 20130301
  isFulltext: true
  titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22
  providerName: Springer Nature
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3JTsMwELWgcIADO6JsmgM3iOTYbZYjqqg4AEJs6i2Kl0BRm6I0ReIT-Gs8jlMWARJcckliRfZ4Zl488x4hB1oaIG0CmReHvvBawg-8OBYGqgSxVq04bDNhVUvOwouLqNeLL11T2Liudq-PJK2nnja7IQ8MdhMzD4mCzNaYJXMm3EUo2HB1fVdbEfeRX8Wd5aE_ZgZDMJsHMxQmZEHUc90z3w_7OUK9p51fTkptAOou_-_TV8iSSzjhuLKQVTKj8zWy-IGGcJ28dotJv4Rs8AIj40GGrjUT0sH9qOiXD0OwZYfeSDxW7hFcgTtU-tNgEl84P-9AWVRtEvCE2mswRsXQF6jIogH_-MIkF1hLKbUChZS9Tm0L8qoafYPcdk9uOqeek2jwpNm7JaLPSDHNfdFmgdQipFJGgc4ETWmsMPbRUKe8zcNMaM6EnzGlBBUqjBSlacQ3SSMf5XqLgFI8ECltyXZmLhxVkH0VKgN_tK9YRpvEr5clkY6_HGU0BsmUedlOc2KmObHTnPAmOZy-81Sxd_z69G692onbyeOEGfRhclqD65rkqF7d99s_j7b9t8d3yAJDA7GVMrukURYTvUfm5XPZHxf71sLfACZf9Ts
linkProvider Springer Nature
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1Lb9NAEB7RgtRy4FVQQwvMgVuxtN5N_DiiqlEqkghBqHKzvA-XoMSJHAepP4F_zc56ndKqIJWLL7ZX1u7szHzeme8DeG-UBdI2kAVpHMqgK8MoSFNpoUqUGt1N4x6XTrVkGI_HyXSafvZNYeu22r09knSeetvsRjww1E3MAyIKsltjBx52bcQixvwvXy9aKxIh8av4szzyx9xiCO7yYE7ChDxKpr575u5hb0ao67Tz1kmpC0D9p__36c_giU848WNjIc_hgSlfwOM_aAgP4Fe_2sxqLOZXuLQeZOFbMzGfXy6rWf19ga7sMFjKH417RF_gjo3-NNrEF0ejU6yrpk0CV6S9hmtSDL3Chiwa6Y8vbkpJtZTKaNRE2evVtrBsqtFfwrf-2eR0EHiJhkDZvVsT-kw0NyKUPR4pI2OmVBKZQrKcpZpiH4tNLnoiLqQRXIYF11oyqeNEM5Yn4hXslsvSHAJqLSKZs67qFfYiSAU51LG28MeEmhesA2G7LJny_OUkozHPtszLbpozO82Zm-ZMdOBk-86qYe_459PH7WpnfievM27Rh81pLa7rwId2da9v_3201_d7_B3sDSajYTY8H386gn1OxuKqZo5ht6425g08Uj_r2bp666z9N6x5-B8
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1NT9wwEB0VWlVwoLQFsYXCHHorEY69m49jBaxaFVZItNXeovgjsGjJrrJZJH4C_xqP4yy0opUqLrnEthR77JkXz7wH8MkoC6StIwvSOJRBV4ZRkKbSQpUoNbqbxj0unWrJSTwYJMNhevaoit9lu7dXkk1NA7E0lfXBVBcHi8I34oShymIeEGmQ3SZL8LJLifSE189_tRYlQuJa8fd6dDZziye4i4k5iRTyKBn6Spqnh_3dWz2EoH_cmjpn1H_z_M9YhzUfiOKXxnLewgtTvoPVR_SE7-GuX81HNRbjW5zYk-Xal2xiPr6YVKP68hpdOmIwkVfNsYk-8R0bXWq0ATGenh5iXTXlEzglTTackZLoLTYk0kh_gnFeSsqxVEajJipfr8KFZZOlvgE_-8c_Dr8GXrohUHZP14RKE82NCGWPR8rImCmVRKaQLGepJp_IYpOLnogLaQSXYcG1lkzqONGM5YnYhOVyUpotQK1FJHPWVb3CPgSpI4c61hYWmVDzgnUgbJcoU57XnOQ1xtmCkdlNc2anOXPTnIkOfF70mTasHv9svdOufOZ3-CzjFpXYWNfivQ7styv98Prvo334v-Z78PrsqJ-dfBt834YVTrbikml2YLmu5uYjvFI39WhW7TrDvwdbEwES
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=Fruit+fly+optimization+algorithm+multi-objective+control+method+for+MMC+traction+power+supply+system+with+unbalanced+distribution+network&rft.jtitle=International+journal+of+dynamics+and+control&rft.au=Pan%2C+Hongbin&rft.au=Qin%2C+Kai&rft.au=Zhang%2C+Jiale&rft.au=Yuan%2C+Changmin&rft.date=2022-12-01&rft.issn=2195-268X&rft.eissn=2195-2698&rft.volume=10&rft.issue=6&rft.spage=1922&rft.epage=1933&rft_id=info:doi/10.1007%2Fs40435-022-00927-3&rft.externalDBID=n%2Fa&rft.externalDocID=10_1007_s40435_022_00927_3
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2195-268X&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2195-268X&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2195-268X&client=summon