Optimal Allocation of Phasor Measurement Units Considering Various Contingencies and Measurement Redundancy

This article presents an efficient and comprehensive method to find out the minimum number of and the corresponding locations of phasor measurement units (PMUs) guaranteeing full numerical observability of a power system as well as maximize the measurement redundancy in conjunction with preexisting...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on instrumentation and measurement Vol. 69; no. 6; pp. 3403 - 3411
Main Authors Manousakis, Nikolaos M., Korres, George N.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.06.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Branch outage
Current measurement
Integer programming
Linear matrix inequalities
linear matrix inequality (LMI)
Linear programming
Loss measurement
Measuring instruments
numerical observability
Observability
Observability (systems)
optimal PMU placement (OPP)
Optimization
phasor measurement unit (PMU)
Phasor measurement units
Phasors
Placement
PMU loss
Redundancy
Semidefinite programming
semidefinite programming (SDP)
State estimation
Online AccessGet full text

Cover

Abstract This article presents an efficient and comprehensive method to find out the minimum number of and the corresponding locations of phasor measurement units (PMUs) guaranteeing full numerical observability of a power system as well as maximize the measurement redundancy in conjunction with preexisting conventional measurements. Furthermore, the effect of number of available channels of PMUs on their optimal placement can be taken into account. The proposed optimal PMU placement (OPP) formulation is extended to consider the case of two types of contingencies, single PMU loss and single branch outage. The objective of the OPP method is the numerical observability, unlike the majority of earlier works which are based on topological observability and do not always ensure numerical observability required for the successful execution of state estimation (SE). The problem is formulated as a binary semidefinite programming (BSDP) model with binary decision variables, minimizing a linear objective function subject to linear matrix inequality (LMI) observability constraints. The BSDP problem is solved using an outer approximation scheme based on binary integer linear programming. The effectiveness of the proposed method is verified on different IEEE test systems.
AbstractList This article presents an efficient and comprehensive method to find out the minimum number of and the corresponding locations of phasor measurement units (PMUs) guaranteeing full numerical observability of a power system as well as maximize the measurement redundancy in conjunction with preexisting conventional measurements. Furthermore, the effect of number of available channels of PMUs on their optimal placement can be taken into account. The proposed optimal PMU placement (OPP) formulation is extended to consider the case of two types of contingencies, single PMU loss and single branch outage. The objective of the OPP method is the numerical observability, unlike the majority of earlier works which are based on topological observability and do not always ensure numerical observability required for the successful execution of state estimation (SE). The problem is formulated as a binary semidefinite programming (BSDP) model with binary decision variables, minimizing a linear objective function subject to linear matrix inequality (LMI) observability constraints. The BSDP problem is solved using an outer approximation scheme based on binary integer linear programming. The effectiveness of the proposed method is verified on different IEEE test systems.
Author Korres, George N.
Manousakis, Nikolaos M.
Author_xml – sequence: 1
  givenname: Nikolaos M.
  orcidid: 0000-0002-7729-1016
  surname: Manousakis
  fullname: Manousakis, Nikolaos M.
  email: manousakis_n@yahoo.gr
  organization: Department of Electrical and Electronics Engineering, University of West Attica (UNIWA), Athens, Greece
– sequence: 2
  givenname: George N.
  orcidid: 0000-0001-8550-1426
  surname: Korres
  fullname: Korres, George N.
  email: gkorres@cs.ntua.gr
  organization: School of Electrical and Computer Engineering, National Technical University of Athens (NTUA), Athens, Greece
BookMark eNp9kE1LAzEQhoMo2FbvgpcFz1uT7CabPZbiR6GlIq3XkGZnNXWb1CR76L93-4GgBw_DMMP7zMDTR-fWWUDohuAhIbi8X0xmQ4pJOaRlRikWZ6hHGCvSknN6jnoYE5GWOeOXqB_CGmNc8Lzooc_5NpqNapJR0zitonE2cXXy8qGC88kMVGg9bMDGZGlNDMnY2WAq8Ma-J2_KG9cedrGbwWoDIVG2-sW9QtXaSlm9u0IXtWoCXJ_6AC0fHxbj53Q6f5qMR9NU05LEtOZU5DnXla7qVa2zSjAGjGgCwMuuKgaEZrBSTGS4wLRY5UStWK4E54XIIRugu-PdrXdfLYQo1671tnspaY4pw4QUokvxY0p7F4KHWmoTDwKiV6aRBMu9WNmJlXux8iS2A_EfcOs7hX73H3J7RAwA_MRFISgrSfYNbV2HQQ
CODEN IEIMAO
CitedBy_id crossref_primary_10_1016_j_ijepes_2021_107106
crossref_primary_10_1049_smt2_12067
crossref_primary_10_1088_1742_6596_2351_1_012011
crossref_primary_10_3390_en13071724
crossref_primary_10_3390_axioms12111040
crossref_primary_10_1155_2021_2798534
crossref_primary_10_1002_2050_7038_12698
crossref_primary_10_1016_j_rser_2023_113898
crossref_primary_10_1080_15325008_2022_2145390
crossref_primary_10_3389_fenrg_2024_1349210
crossref_primary_10_1109_TIFS_2022_3173728
crossref_primary_10_1002_oca_2843
crossref_primary_10_1371_journal_pone_0293616
crossref_primary_10_1109_TII_2022_3215787
crossref_primary_10_1109_TIM_2022_3179009
crossref_primary_10_1109_JESTIE_2022_3223316
crossref_primary_10_2139_ssrn_3993184
crossref_primary_10_1016_j_ijepes_2024_110305
crossref_primary_10_1109_ACCESS_2023_3289720
crossref_primary_10_1049_cit2_12038
crossref_primary_10_1007_s42979_023_02004_8
crossref_primary_10_1109_TPWRS_2023_3320981
crossref_primary_10_1109_ACCESS_2021_3074579
crossref_primary_10_1109_JSYST_2020_3048970
crossref_primary_10_1109_TSG_2023_3286401
crossref_primary_10_1109_ACCESS_2021_3063229
crossref_primary_10_3390_en18051225
crossref_primary_10_32604_ee_2022_016657
crossref_primary_10_1007_s13198_024_02637_9
crossref_primary_10_1007_s40031_020_00532_y
crossref_primary_10_1109_TII_2022_3230704
crossref_primary_10_1109_TIA_2024_3452076
crossref_primary_10_1109_TPWRS_2022_3217013
crossref_primary_10_3390_en18051260
crossref_primary_10_1016_j_epsr_2024_111361
crossref_primary_10_1177_00202940241287641
crossref_primary_10_1109_ACCESS_2024_3409651
crossref_primary_10_1109_TIM_2021_3129210
crossref_primary_10_1109_TIM_2022_3179510
crossref_primary_10_1109_TPWRS_2021_3076576
crossref_primary_10_3390_en16217317
crossref_primary_10_1155_2022_1625853
crossref_primary_10_1109_ACCESS_2023_3241754
crossref_primary_10_1109_TIM_2020_3004680
crossref_primary_10_1109_TPWRD_2022_3144462
crossref_primary_10_1016_j_asej_2021_03_001
crossref_primary_10_1109_JSYST_2020_2990435
crossref_primary_10_3233_JHS_230170
Cites_doi 10.1049/iet-gtd.2014.0215
10.1109/TPWRS.2011.2179816
10.1109/TIM.2014.2349232
10.1049/iet-gtd.2010.0791
10.1109/PES.2009.5275529
10.1109/TIM.2007.900420
10.1049/iet-smt.2014.0082
10.1049/iet-gtd.2011.0705
10.1109/TPWRS.2013.2246196
10.1109/TIM.2017.2653518
10.1109/TIM.2013.2295657
10.1109/TPWRD.2006.881425
10.1109/TPWRS.2013.2283079
10.1049/iet-gtd.2015.1077
10.1049/iet-gtd.2012.0377
10.1109/TPWRS.2009.2016596
10.1109/TPWRS.2013.2285578
10.1109/TSG.2011.2167163
10.1109/TIA.2017.2666091
10.1049/iet-smt.2017.0158
10.1109/TIM.2018.2792890
10.1049/iet-smt.2015.0232
10.1109/TSG.2012.2213279
10.1109/TIM.2013.2278595
10.1016/j.ijepes.2013.03.019
10.1109/CACSD.2004.1393890
10.1109/TPWRS.2013.2257883
10.1109/TPWRS.2015.2490599
10.1109/TIM.2018.2851838
10.1109/TPWRD.2008.919046
10.1109/TPWRS.2012.2185959
10.1109/JPETS.2017.2688020
10.1109/TPWRS.2008.926475
10.1109/ISCAS.2010.5537854
10.1109/TPWRS.2013.2242698
10.1109/TIM.2015.2494619
10.1109/TPWRD.2008.2008430
10.1109/TPWRS.2012.2234147
10.1109/TPWRS.2009.2036470
10.1017/CBO9780511804441
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
RIA
RIE
AAYXX
CITATION
7SP
7U5
8FD
L7M
DOI 10.1109/TIM.2019.2932208
DatabaseName IEEE Xplore (IEEE)
IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE Xplore
CrossRef
Electronics & Communications Abstracts
Solid State and Superconductivity Abstracts
Technology Research Database
Advanced Technologies Database with Aerospace
DatabaseTitle CrossRef
Solid State and Superconductivity Abstracts
Technology Research Database
Advanced Technologies Database with Aerospace
Electronics & Communications Abstracts
DatabaseTitleList Solid State and Superconductivity Abstracts
Database_xml – sequence: 1
  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
Physics
EISSN 1557-9662
EndPage 3411
ExternalDocumentID 10_1109_TIM_2019_2932208
8782591
Genre orig-research
GroupedDBID -~X
0R~
29I
4.4
5GY
5VS
6IK
85S
8WZ
97E
A6W
AAJGR
AARMG
AASAJ
AAWTH
ABAZT
ABQJQ
ABVLG
ACGFO
ACIWK
ACNCT
AENEX
AETIX
AGQYO
AGSQL
AHBIQ
AI.
AIBXA
AKJIK
AKQYR
ALLEH
ALMA_UNASSIGNED_HOLDINGS
ATWAV
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
CS3
DU5
EBS
EJD
F5P
HZ~
H~9
IAAWW
IBMZZ
ICLAB
IDIHD
IFIPE
IFJZH
IPLJI
JAVBF
LAI
M43
O9-
OCL
P2P
RIA
RIE
RNS
TN5
TWZ
VH1
VJK
AAYOK
AAYXX
CITATION
RIG
7SP
7U5
8FD
L7M
ID FETCH-LOGICAL-c291t-f628446cdcdfbfc3d855e51c1ee69ee6d5e123eba58307027b41ab54a866784e3
IEDL.DBID RIE
ISSN 0018-9456
IngestDate Mon Jun 30 10:16:48 EDT 2025
Tue Jul 01 02:02:37 EDT 2025
Thu Apr 24 23:01:41 EDT 2025
Wed Aug 27 02:42:22 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 6
Language English
License https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html
https://doi.org/10.15223/policy-029
https://doi.org/10.15223/policy-037
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c291t-f628446cdcdfbfc3d855e51c1ee69ee6d5e123eba58307027b41ab54a866784e3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0002-7729-1016
0000-0001-8550-1426
PQID 2402501178
PQPubID 85462
PageCount 9
ParticipantIDs crossref_primary_10_1109_TIM_2019_2932208
proquest_journals_2402501178
ieee_primary_8782591
crossref_citationtrail_10_1109_TIM_2019_2932208
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2020-06-01
PublicationDateYYYYMMDD 2020-06-01
PublicationDate_xml – month: 06
  year: 2020
  text: 2020-06-01
  day: 01
PublicationDecade 2020
PublicationPlace New York
PublicationPlace_xml – name: New York
PublicationTitle IEEE transactions on instrumentation and measurement
PublicationTitleAbbrev TIM
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 ref35
ref13
ref34
ref37
ref15
ref36
ref14
ref31
ref30
ref33
ref11
ref32
ref10
ref2
ref1
ref39
ref17
ref38
ref16
ref19
ref18
xu (ref7) 2005
ref24
ref23
ref26
ref25
ref20
ref41
(ref45) 2019
ref22
berthold (ref44) 2012; 27
ref21
ref43
ref28
ref27
ref29
ref8
ref9
ref4
ref3
ref6
ref5
xu (ref12) 2004
ref40
(ref42) 2014
References_xml – ident: ref28
  doi: 10.1049/iet-gtd.2014.0215
– ident: ref6
  doi: 10.1109/TPWRS.2011.2179816
– ident: ref3
  doi: 10.1109/TIM.2014.2349232
– ident: ref26
  doi: 10.1049/iet-gtd.2010.0791
– ident: ref15
  doi: 10.1109/PES.2009.5275529
– ident: ref1
  doi: 10.1109/TIM.2007.900420
– ident: ref32
  doi: 10.1049/iet-smt.2014.0082
– volume: 27
  start-page: 1
  year: 2012
  ident: ref44
  article-title: Solving mixed integer linear and nonlinear problems using the SCIP optimization suite
– ident: ref27
  doi: 10.1049/iet-gtd.2011.0705
– ident: ref36
  doi: 10.1109/TPWRS.2013.2246196
– ident: ref5
  doi: 10.1109/TIM.2017.2653518
– ident: ref8
  doi: 10.1109/TIM.2013.2295657
– ident: ref34
  doi: 10.1109/TPWRD.2006.881425
– start-page: 943
  year: 2004
  ident: ref12
  article-title: Observability analysis and measurement placement for systems with PMUs
  publication-title: Proc IEEE PES Power Syst Conf Expo
– ident: ref31
  doi: 10.1109/TPWRS.2013.2283079
– ident: ref37
  doi: 10.1049/iet-gtd.2015.1077
– ident: ref33
  doi: 10.1049/iet-gtd.2012.0377
– year: 2005
  ident: ref7
  article-title: Optimal placement of phasor measurement units for state estimation
– ident: ref29
  doi: 10.1109/TPWRS.2009.2016596
– ident: ref25
  doi: 10.1109/TPWRS.2013.2285578
– ident: ref22
  doi: 10.1109/TSG.2011.2167163
– ident: ref38
  doi: 10.1109/TIA.2017.2666091
– ident: ref11
  doi: 10.1049/iet-smt.2017.0158
– ident: ref39
  doi: 10.1109/TIM.2018.2792890
– ident: ref10
  doi: 10.1049/iet-smt.2015.0232
– ident: ref23
  doi: 10.1109/TSG.2012.2213279
– ident: ref2
  doi: 10.1109/TIM.2013.2278595
– year: 2014
  ident: ref42
  publication-title: Matlab Version 8 3 (Release 2014a)
– ident: ref41
  doi: 10.1016/j.ijepes.2013.03.019
– ident: ref43
  doi: 10.1109/CACSD.2004.1393890
– ident: ref24
  doi: 10.1109/TPWRS.2013.2257883
– ident: ref16
  doi: 10.1109/TPWRS.2015.2490599
– ident: ref9
  doi: 10.1109/TIM.2018.2851838
– ident: ref18
  doi: 10.1109/TPWRD.2008.919046
– ident: ref17
  doi: 10.1109/TPWRS.2012.2185959
– ident: ref30
  doi: 10.1109/JPETS.2017.2688020
– ident: ref13
  doi: 10.1109/TPWRS.2008.926475
– ident: ref21
  doi: 10.1109/ISCAS.2010.5537854
– ident: ref14
  doi: 10.1109/TPWRS.2013.2242698
– ident: ref4
  doi: 10.1109/TIM.2015.2494619
– year: 2019
  ident: ref45
  publication-title: Power systems test case archive
– ident: ref19
  doi: 10.1109/TPWRD.2008.2008430
– ident: ref35
  doi: 10.1109/TPWRS.2012.2234147
– ident: ref20
  doi: 10.1109/TPWRS.2009.2036470
– ident: ref40
  doi: 10.1017/CBO9780511804441
SSID ssj0007647
Score 2.5112524
Snippet This article presents an efficient and comprehensive method to find out the minimum number of and the corresponding locations of phasor measurement units...
SourceID proquest
crossref
ieee
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 3403
SubjectTerms Branch outage
Current measurement
Integer programming
Linear matrix inequalities
linear matrix inequality (LMI)
Linear programming
Loss measurement
Measuring instruments
numerical observability
Observability
Observability (systems)
optimal PMU placement (OPP)
Optimization
phasor measurement unit (PMU)
Phasor measurement units
Phasors
Placement
PMU loss
Redundancy
Semidefinite programming
semidefinite programming (SDP)
State estimation
Title Optimal Allocation of Phasor Measurement Units Considering Various Contingencies and Measurement Redundancy
URI https://ieeexplore.ieee.org/document/8782591
https://www.proquest.com/docview/2402501178
Volume 69
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1La9wwEB62C4H20DRJS7dNiw69BGqvH5JWPoaQkBY2KSEJuRnrRSDpuqy9l_76zsj2ZpuE0oPBGEkIf9J8M9I8AL4kshC5tjKaWe8jrjIeFd6ryOVapLISnIegsPmZPL3i32_EzQi-rmNhnHPB-czF9Bru8m1tVnRUNlVIZ4JC1V-g4dbFaq2l7kzyLj9mihsYtYLhSjIpppff5uTDVcRIbVlGhSQ3KCjUVHkiiAO7nGzDfJhX51RyF69aHZvfj1I2_u_E38DrXs1kh9262IGRW-zCq43kg7uwFZw_TbMHd-coN35S83uiNoKK1Z79uK2aesnmD6eIjDTUhg1FPnEYdo22dr0K39oQp4WyomHVwv7V78JRsBoJ8rdwdXJ8eXQa9UUYIpMVaRt5iQTGpbHGeu1NbpUQTqQmdU4W-FjhkPycroQi8ZHNNE8rLXilJPIgd_k7GC_qhXsPDH-BVKhv4WhoFCZC26pQuZPKZ7wSuZzAdMClNH2GciqUcV8GSyUpSkSyJCTLHskJHKx7_Oqyc_yj7R4Bs27XYzKB_QH6st--TUlXToKy5akPz_f6CC8zMrzDccw-jNvlyn1C7aTVn8Oy_AO1ueD0
linkProvider IEEE
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LT9wwEB4hEGp7AAqturzqQy-Vmt1NYnudI6pACyW0qpaKWxS_hATdVCR76a9nxkm2tFSIQ6Qosi0rnz3fjD0PgA9jmYlUWxlNrPcRVwmPMu9V5FItYlkKzkNQWH4hp5f87EpcrcCnZSyMcy44n7khvYa7fFuZBR2VjRTSmaBQ9TXkfRG30VpLuTuRvM2QGeMWRr2gv5QcZ6PZaU5eXNkQyS1JqJTkAxIKVVUeieLALyebkPcza91KboaLRg_N73-SNj536luw0Sma7KhdGa9hxc234dWD9IPbsB7cP029AzdfUXL8pOa3RG4EFqs8-3Zd1tUdy_-cIzLSUWvWl_nEYdgPtLarRfjWhEgtlBY1K-f2r37fHYWrkSh_A5cnx7PP06grwxCZJIubyEukMC6NNdZrb1KrhHAiNrFzMsPHCof053QpFAmQZKJ5XGrBSyWRCblL38LqvJq7d8DwF0iFGheOhmbhWGhbZip1UvmElyKVAxj1uBSmy1FOpTJui2CrjLMCkSwIyaJDcgAflz1-tfk5nmi7Q8As23WYDGC_h77oNnBd0KWToHx5avf_vd7Di-ksPy_OTy--7MHLhMzwcDizD6vN3cIdoK7S6MOwRO8BmODkPQ
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=Optimal+Allocation+of+Phasor+Measurement+Units+Considering+Various+Contingencies+and+Measurement+Redundancy&rft.jtitle=IEEE+transactions+on+instrumentation+and+measurement&rft.au=Manousakis%2C+Nikolaos+M.&rft.au=Korres%2C+George+N.&rft.date=2020-06-01&rft.pub=IEEE&rft.issn=0018-9456&rft.volume=69&rft.issue=6&rft.spage=3403&rft.epage=3411&rft_id=info:doi/10.1109%2FTIM.2019.2932208&rft.externalDocID=8782591
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0018-9456&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0018-9456&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0018-9456&client=summon