A Combined Analytical-Numerical Methodology for Predicting Subharmonic Oscillation in H-Bridge Inverters Under Double Edge Modulation

In this paper, a combined analytical-numerical methodology is developed for detecting subharmonic oscillation in H-bridge inverters with an LC filter and under double edge modulation. The prediction of this phenomenon is accomplished accurately by combining analytical expressions and computational p...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on circuits and systems. I, Regular papers Vol. 65; no. 7; pp. 2341 - 2351
Main Authors Aroudi, Abdelali El, Al-Numay, Mohammed S., Lu, Wei Guo, Bosque-Moncusi, Josep Maria, Iu, Herbert Ho-Ching
Format Journal Article
LanguageEnglish
Published New York IEEE 01.07.2018
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Circuit stability
Computer simulation
double edge modulation
Dynamic stability
Exact solutions
H-bridge inverters
Inverters
Mathematical models
Modulation
Numerical prediction
Numerical stability
Oscillators
Stability analysis
subharmonic oscillation
Switching converters
Voltage control
Online AccessGet full text

Cover

Abstract In this paper, a combined analytical-numerical methodology is developed for detecting subharmonic oscillation in H-bridge inverters with an LC filter and under double edge modulation. The prediction of this phenomenon is accomplished accurately by combining analytical expressions and computational procedures to determine the switching instants and the corresponding periodic orbits. Different approximate closed-form expressions for the stability boundary are derived revealing the effect of the parameters of the system on its dynamical behavior and showing that the stability boundary is different from the ones corresponding to single edge modulation strategies such as trailing edge and leading edge modulations. The theoretical results are validated by numerical simulations using a system-level switched model. Also, a prototype is implemented to validate he theoretical derivations and the numerical simulations getting a good matching.
AbstractList In this paper, a combined analytical-numerical methodology is developed for detecting subharmonic oscillation in H-bridge inverters with an LC filter and under double edge modulation. The prediction of this phenomenon is accomplished accurately by combining analytical expressions and computational procedures to determine the switching instants and the corresponding periodic orbits. Different approximate closed-form expressions for the stability boundary are derived revealing the effect of the parameters of the system on its dynamical behavior and showing that the stability boundary is different from the ones corresponding to single edge modulation strategies such as trailing edge and leading edge modulations. The theoretical results are validated by numerical simulations using a system-level switched model. Also, a prototype is implemented to validate he theoretical derivations and the numerical simulations getting a good matching.
Author Iu, Herbert Ho-Ching
Lu, Wei Guo
Al-Numay, Mohammed S.
Bosque-Moncusi, Josep Maria
Aroudi, Abdelali El
Author_xml – sequence: 1
  givenname: Abdelali El
  orcidid: 0000-0001-9103-7762
  surname: Aroudi
  fullname: Aroudi, Abdelali El
  email: abdelali.elaroudi@urv.cat
  organization: Department d'Enginyeria Electrònica, Elèctrica i Automàtica, GAEI Research Group, Universitat Rovira i Virgili, Tarragona, Spain
– sequence: 2
  givenname: Mohammed S.
  surname: Al-Numay
  fullname: Al-Numay, Mohammed S.
  email: alnumay@ksu.edu.sa
  organization: Electrical Engineering Department, King Saud University, Riyadh, Saudi Arabia
– sequence: 3
  givenname: Wei Guo
  orcidid: 0000-0003-4093-1603
  surname: Lu
  fullname: Lu, Wei Guo
  email: luweiguo@cqu.edu.cn
  organization: State Key Laboratory of Power Transmission Equipment and System Security and New Technology, University of Chongqing, Chongqing, China
– sequence: 4
  givenname: Josep Maria
  surname: Bosque-Moncusi
  fullname: Bosque-Moncusi, Josep Maria
  organization: Department d'Enginyeria Electrònica, Elèctrica i Automàtica, GAEI Research Group, Universitat Rovira i Virgili, Tarragona, Spain
– sequence: 5
  givenname: Herbert Ho-Ching
  orcidid: 0000-0002-0687-4038
  surname: Iu
  fullname: Iu, Herbert Ho-Ching
  email: herbert.iu@uwa.edu.au
  organization: School of Electrical, Electronic and Computer Engineering, The University of Western Australia, Crawley, WA, Australia
BookMark eNo9kNtKAzEQhoNU0FYfQLwJeL01yZ6Sy1pPhdYK1eslh9ka2Saa7Ap9AN_bXVq8moH5_hnmG6OR8w4QuqJkSikRt2_zzWLKCC2nrOQkpfwEndM85wnhpBgNfSYSnjJ-hsYxfhLCRE-do98Znvudsg4MnjnZ7FurZZO8dDsIQ4dX0H544xu_3ePaB_wawFjdWrfFm059yLDzzmq8jto2jWytd9g6_JzcBWu2gBfuB0ILIeJ3ZyDge9-pBvDDMFt50x0iF-i0lk2Ey2OdoPfHh7f5c7JcPy3ms2WimUjbRJeKFZznpSlJpphWqcyyvFAl1LLOFeiyNpkULCclFSo3SvJaFEzzQkrBmUkn6Oaw9yv47w5iW336LvRvx4qRjFMhGE17ih4oHXyMAerqK9idDPuKkmqwXQ22q8F2dbTdZ64PGQsA_zxnaX-fp38vBn9B
CODEN ITCSCH
CitedBy_id crossref_primary_10_3390_app10165626
crossref_primary_10_3390_app11052106
crossref_primary_10_1007_s11071_019_05406_7
crossref_primary_10_1109_TCSI_2018_2884614
crossref_primary_10_1109_TCSII_2018_2875591
Cites_doi 10.1007/s00034-008-9061-8
10.1109/ISCAS.2015.7169090
10.1007/b100747
10.1109/41.192662
10.1109/TPWRD.2010.2043859
10.1109/TCSI.2016.2620442
10.1109/TCSII.2011.2180097
10.1109/TCSI.2011.2177008
10.1109/TPEL.2016.2606418
10.1109/TCSI.2008.916443
10.1016/j.ijepes.2017.04.007
10.1109/TCSI.2005.859053
10.1080/0020717021000023771
10.1007/978-1-4471-2885-4
10.7498/aps.61.210202
10.1109/TCSI.2011.2161396
10.1109/TCSI.2012.2230498
10.1109/TPEL.2016.2553782
10.1109/TCSI.2002.1001951
10.1109/TCSI.2016.2615160
10.1109/TCSI.2008.919744
10.1142/S021812740701938X
ContentType Journal Article
Copyright Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2018
Copyright_xml – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2018
DBID 97E
RIA
RIE
AAYXX
CITATION
7SP
8FD
L7M
DOI 10.1109/TCSI.2017.2780318
DatabaseName IEEE All-Society Periodicals Package (ASPP) 2005-present
IEEE All-Society Periodicals Package (ASPP) 1998-Present
IEEE/IET Electronic Library (IEL)
CrossRef
Electronics & Communications Abstracts
Technology Research Database
Advanced Technologies Database with Aerospace
DatabaseTitle CrossRef
Technology Research Database
Advanced Technologies Database with Aerospace
Electronics & Communications Abstracts
DatabaseTitleList Technology Research Database
Database_xml – sequence: 1
  dbid: RIE
  name: IEEE Electronic Library Online
  url: https://proxy.k.utb.cz/login?url=https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1558-0806
EndPage 2351
ExternalDocumentID 10_1109_TCSI_2017_2780318
8239628
Genre orig-research
GrantInformation_xml – fundername: International Scientific Partnership Program ISPP, King Saud University, through ISPP
  grantid: 00102
  funderid: 10.13039/501100002383
– fundername: Spanish Ministerio de Economía y Competitividad
  grantid: DPI2013-47293-R
  funderid: 10.13039/501100003329
GroupedDBID 0R~
29I
4.4
5VS
6IK
97E
AAJGR
AASAJ
ABQJQ
ABVLG
ACIWK
AETIX
AIBXA
AKJIK
ALMA_UNASSIGNED_HOLDINGS
ATWAV
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
EBS
EJD
HZ~
H~9
IFIPE
IPLJI
JAVBF
M43
O9-
OCL
PZZ
RIA
RIE
RIG
RNS
VJK
XFK
AAYXX
CITATION
7SP
8FD
L7M
ID FETCH-LOGICAL-c293t-c7b268857d704b2cb3a4456b7efaf5bec7fd4a9250719b5dba8f962c86aa982d3
IEDL.DBID RIE
ISSN 1549-8328
IngestDate Thu Oct 10 18:55:18 EDT 2024
Fri Aug 23 01:04:34 EDT 2024
Wed Jun 26 19:28:51 EDT 2024
IsPeerReviewed true
IsScholarly true
Issue 7
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c293t-c7b268857d704b2cb3a4456b7efaf5bec7fd4a9250719b5dba8f962c86aa982d3
ORCID 0000-0002-0687-4038
0000-0003-4093-1603
0000-0001-9103-7762
PQID 2048199213
PQPubID 85411
PageCount 11
ParticipantIDs ieee_primary_8239628
proquest_journals_2048199213
crossref_primary_10_1109_TCSI_2017_2780318
PublicationCentury 2000
PublicationDate 2018-07-01
PublicationDateYYYYMMDD 2018-07-01
PublicationDate_xml – month: 07
  year: 2018
  text: 2018-07-01
  day: 01
PublicationDecade 2010
PublicationPlace New York
PublicationPlace_xml – name: New York
PublicationTitle IEEE transactions on circuits and systems. I, Regular papers
PublicationTitleAbbrev TCSI
PublicationYear 2018
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
ref24
ref12
elbkosh (ref21) 2008
ref23
ref15
ref14
ref11
ref22
ref2
middlebrook (ref16) 1976
ref1
ref17
ref19
wai (ref10) 2008; 55
ref18
ref8
ref7
ref9
ref4
ref3
wu (ref20) 2012; 61
ref6
ref5
References_xml – ident: ref19
  doi: 10.1007/s00034-008-9061-8
– start-page: 18
  year: 1976
  ident: ref16
  article-title: A general unified approach to modelling switching-converter power stages
  publication-title: Proc IEEE Power Electron Spec Conf
  contributor:
    fullname: middlebrook
– ident: ref22
  doi: 10.1109/ISCAS.2015.7169090
– ident: ref24
  doi: 10.1007/b100747
– ident: ref15
  doi: 10.1109/41.192662
– ident: ref17
  doi: 10.1109/TPWRD.2010.2043859
– ident: ref18
  doi: 10.1109/TCSI.2016.2620442
– ident: ref5
  doi: 10.1109/TCSII.2011.2180097
– ident: ref11
  doi: 10.1109/TCSI.2011.2177008
– ident: ref8
  doi: 10.1109/TPEL.2016.2606418
– ident: ref1
  doi: 10.1109/TCSI.2008.916443
– ident: ref23
  doi: 10.1016/j.ijepes.2017.04.007
– ident: ref14
  doi: 10.1109/TCSI.2005.859053
– ident: ref2
  doi: 10.1080/0020717021000023771
– ident: ref9
  doi: 10.1007/978-1-4471-2885-4
– volume: 61
  start-page: 210202
  year: 2012
  ident: ref20
  article-title: A unified bifurcation control strategy for voltage source inverter
  publication-title: Acta Phys Sinica
  doi: 10.7498/aps.61.210202
  contributor:
    fullname: wu
– ident: ref6
  doi: 10.1109/TCSI.2011.2161396
– ident: ref7
  doi: 10.1109/TCSI.2012.2230498
– ident: ref13
  doi: 10.1109/TPEL.2016.2553782
– ident: ref12
  doi: 10.1109/TCSI.2002.1001951
– start-page: 1
  year: 2008
  ident: ref21
  article-title: Control of bifurcation of DC/DC buck converters controlled by double-edged PWM waveform
  publication-title: Proc ENOC
  contributor:
    fullname: elbkosh
– ident: ref4
  doi: 10.1109/TCSI.2016.2615160
– volume: 55
  start-page: 953
  year: 2008
  ident: ref10
  article-title: Grid-connected photovoltaic generation system
  publication-title: IEEE Trans Circuits Syst I Reg Papers
  doi: 10.1109/TCSI.2008.919744
  contributor:
    fullname: wai
– ident: ref3
  doi: 10.1142/S021812740701938X
SSID ssj0029031
Score 2.329373
Snippet In this paper, a combined analytical-numerical methodology is developed for detecting subharmonic oscillation in H-bridge inverters with an LC filter and under...
SourceID proquest
crossref
ieee
SourceType Aggregation Database
Publisher
StartPage 2341
SubjectTerms Circuit stability
Computer simulation
double edge modulation
Dynamic stability
Exact solutions
H-bridge inverters
Inverters
Mathematical models
Modulation
Numerical prediction
Numerical stability
Oscillators
Stability analysis
subharmonic oscillation
Switching converters
Voltage control
Title A Combined Analytical-Numerical Methodology for Predicting Subharmonic Oscillation in H-Bridge Inverters Under Double Edge Modulation
URI https://ieeexplore.ieee.org/document/8239628
https://www.proquest.com/docview/2048199213
Volume 65
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3PT9swFH4CTuwA22Ci0E0-7IRwcRwnsY8dAnWTCkiAxC3yr0gTVYtKe9l9_zfvOWnFBgdukRJHjt-L_dnve98D-I5rvpE2RC4abbjSmeLW-MCFk9LbMnPSUnLy-LIc3alf98X9Bpysc2FijIl8Fgd0mWL5YeaXdFR2qmVuSqk3YVML2eZqrTdXRuStNqoyHL1UdxHMTJjT27Obn0Tiqgay0uTE_6xBqajKq5k4LS8XuzBedaxllTwMlgs38H_-02x8b88_wk6HM9mwdYxPsBGnn-HDC_XBPfg7ZDgb4M44Bpa0SdKxNr9ctkGcCRun6tLp3J0htmXXc4rqEE-a4XxDmtekq8uucBWdtJQ69nvKRvxHSgJjJOFBhNEnloorMcTqbhLZOd0bz0JXN2wf7i7Ob89GvKvKwD1CgwX3lZOl1kUVKqGc9C63ClGYq2JjmwJdomqCskYS0DSuCM7qBr_d69Jao2XIv8DWdDaNB8Bk5krlEENZ65VoCi0ctnWyQVBjiuh7cLyyU_3Yim_UadMiTE1GrcmodWfUHuzRuK8f7Ia8B_2VZevu93yqSa2YeLdZfvh2qyPYxnfrlpfbh63FfBm_IvpYuG_J7Z4BjCfZJA
link.rule.ids 315,786,790,802,27955,27956,55107
linkProvider IEEE
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1NT9wwEB1ROLQ9tKUUdVva-sCpqhfHcRL7SBFooWRB6iJxi_wVCbHaRbB74d7_3Rknu-rXobdIiRXHM_E8e57fAOxjzDfShshFqw1XOlPcGh-4cFJ6W2ZOWjqcXI_L0ZU6uy6uN-DL-ixMjDGRz-KQLlMuP8z9krbKDrTMTSn1E9jCOC-q7rTWenllRN6poyrD0U91n8PMhDmYHH0_JRpXNZSVJjf-LQqlsip_zcUpwJy8hHrVtY5XcjtcLtzQP_6h2vi_fX8FL3qkyQ4719iGjTh7Dc9_0R_cgR-HDOcDXBvHwJI6SdrY5uNll8aZsjrVl0477wzRLbu8p7wOMaUZzjikek3KuuwC4-i0I9Wxmxkb8a_pGBgjEQ-ijD6wVF6JIVp308iO6V49D33lsDdwdXI8ORrxvi4D9wgOFtxXTpZaF1WohHLSu9wqxGGuiq1tC3SKqg3KGklQ07giOKtb_HavS2uNliHfhc3ZfBbfApOZK5VDFGWtV6IttHDY1skWYY0poh_A55WdmrtOfqNJyxZhGjJqQ0ZteqMOYIfGff1gP-QD2FtZtul_0IeG9IqJeZvl7_7d6hM8HU3q8-b8dPztPTzD9-iOpbsHm4v7ZfyAWGThPiYX_AkiDtx4
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+Combined+Analytical-Numerical+Methodology+for+Predicting+Subharmonic+Oscillation+in+H-Bridge+Inverters+Under+Double+Edge+Modulation&rft.jtitle=IEEE+transactions+on+circuits+and+systems.+I%2C+Regular+papers&rft.au=Aroudi%2C+Abdelali+El&rft.au=Al-Numay%2C+Mohammed+S.&rft.au=Lu%2C+Wei+Guo&rft.au=Bosque-Moncusi%2C+Josep+Maria&rft.date=2018-07-01&rft.pub=IEEE&rft.issn=1549-8328&rft.eissn=1558-0806&rft.volume=65&rft.issue=7&rft.spage=2341&rft.epage=2351&rft_id=info:doi/10.1109%2FTCSI.2017.2780318&rft.externalDocID=8239628
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1549-8328&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1549-8328&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1549-8328&client=summon