Admittance matrix estimation of radial distribution grids using power and voltage magnitude measurements

Accurate knowledge of the admittance matrix of distribution grids is essential for grid operation and control as more renewable energy sources and electric vehicles are integrated into distribution grids. Due to limited observability, measurement noise, topology assumptions, and partial data availab...

Full description

Saved in:
Bibliographic Details
Published inElectric power systems research Vol. 234; p. 110619
Main Authors Rayati, Mohammad, Bozorg, Mokhtar, Alizadeh-Mousavi, Omid
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.09.2024
Subjects
Online AccessGet full text
ISSN0378-7796
1873-2046
DOI10.1016/j.epsr.2024.110619

Cover

Abstract Accurate knowledge of the admittance matrix of distribution grids is essential for grid operation and control as more renewable energy sources and electric vehicles are integrated into distribution grids. Due to limited observability, measurement noise, topology assumptions, and partial data availability, the exact calculation of the admittance matrix of distribution grids is challenging. In this paper, we present a method for estimating the admittance matrix of radial distribution grids. The proposed method uses low-cost measurement devices that record ten-minute-based measurements of voltage magnitudes, active power, and reactive power at a single end of the lines or transformers instead of second-based phasor measurements. The impedance of lines or transformers is then estimated using a statistical optimization subject to the distribution flow (DistFlow) model. The effectiveness of proposed method is demonstrated by simulation, laboratory testing, and field measurements taken from a distribution grid in Switzerland. •A novel method for estimating grid admittance has been introduced.•Low-cost measurements at ten-minute intervals have been utilized.•A statistical optimization technique using DistFlow model has been employed.•Validation through simulation and field experiments has been conducted.
AbstractList Accurate knowledge of the admittance matrix of distribution grids is essential for grid operation and control as more renewable energy sources and electric vehicles are integrated into distribution grids. Due to limited observability, measurement noise, topology assumptions, and partial data availability, the exact calculation of the admittance matrix of distribution grids is challenging. In this paper, we present a method for estimating the admittance matrix of radial distribution grids. The proposed method uses low-cost measurement devices that record ten-minute-based measurements of voltage magnitudes, active power, and reactive power at a single end of the lines or transformers instead of second-based phasor measurements. The impedance of lines or transformers is then estimated using a statistical optimization subject to the distribution flow (DistFlow) model. The effectiveness of proposed method is demonstrated by simulation, laboratory testing, and field measurements taken from a distribution grid in Switzerland. •A novel method for estimating grid admittance has been introduced.•Low-cost measurements at ten-minute intervals have been utilized.•A statistical optimization technique using DistFlow model has been employed.•Validation through simulation and field experiments has been conducted.
ArticleNumber 110619
Author Bozorg, Mokhtar
Rayati, Mohammad
Alizadeh-Mousavi, Omid
Author_xml – sequence: 1
  givenname: Mohammad
  orcidid: 0000-0002-9230-3548
  surname: Rayati
  fullname: Rayati, Mohammad
  email: mohammad.rayati@heig-vd.ch
  organization: School of Engineering and Management Vaud, University of Applied Sciences and Arts Western Switzerland, Yverdon-les-Bains, Switzerland
– sequence: 2
  givenname: Mokhtar
  orcidid: 0000-0002-2418-310X
  surname: Bozorg
  fullname: Bozorg, Mokhtar
  email: mokhtar.bozorg@heig-vd.ch
  organization: School of Engineering and Management Vaud, University of Applied Sciences and Arts Western Switzerland, Yverdon-les-Bains, Switzerland
– sequence: 3
  givenname: Omid
  orcidid: 0000-0001-7943-4335
  surname: Alizadeh-Mousavi
  fullname: Alizadeh-Mousavi, Omid
  organization: DEPsys SA, Puidoux, Switzerland
BookMark eNp9kMtOwzAQRS1UJNrCD7DyDySMH3ESiU1V8ZIqsYG15caT4Kp1Kjsp8Pc4lDWruZrRGc2cBZn53iMhtwxyBkzd7XI8xpBz4DJnDBSrL8icVaXIOEg1I3MQZZWVZa2uyCLGHQCouizm5GNlD24YjG-QHswQ3BfFOLgUXe9p39JgrDN7al1Mw-342-6Cs5GO0fmOHvtPDNR4S0_9fjDdtKbzbhhtSmjiGPCAfojX5LI1-4g3f3VJ3h8f3tbP2eb16WW92mQNZ1BnsrWqFNLKRkJRi23BjWG2NUwIWRZoQViOhVK8RVltC8FbYBXjAJInoJJiSfh5bxP6GAO2-hjSO-FbM9CTK73Tkys9udJnVwm6P0OYLjs5DDo2DpMT6wI2g7a9-w__AasPdd4
Cites_doi 10.1145/336154.336191
10.1038/s41592-019-0686-2
10.1016/j.ijepes.2017.06.021
10.1109/MPER.1989.4310642
10.1109/TSG.2023.3239650
10.1109/TIM.2022.3175043
10.1109/TCNS.2019.2891002
ContentType Journal Article
Copyright 2024 The Authors
Copyright_xml – notice: 2024 The Authors
DBID 6I.
AAFTH
AAYXX
CITATION
DOI 10.1016/j.epsr.2024.110619
DatabaseName ScienceDirect Open Access Titles
Elsevier:ScienceDirect:Open Access
CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1873-2046
ExternalDocumentID 10_1016_j_epsr_2024_110619
S0378779624005054
GroupedDBID --K
--M
-~X
.~1
0R~
1B1
1~.
1~5
29G
4.4
457
4G.
5GY
5VS
6I.
7-5
71M
8P~
9JN
AABNK
AACTN
AAEDT
AAEDW
AAFTH
AAHCO
AAIAV
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAQXK
AARJD
AAXUO
ABFNM
ABMAC
ABXDB
ACDAQ
ACGFS
ACIWK
ACNNM
ACRLP
ADBBV
ADEZE
ADHUB
ADMUD
ADTZH
AEBSH
AECPX
AEKER
AENEX
AFKWA
AFTJW
AGHFR
AGUBO
AGYEJ
AHHHB
AHIDL
AHJVU
AI.
AIEXJ
AIKHN
AITUG
AJOXV
AKRWK
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
ARUGR
ASPBG
AVWKF
AXJTR
AZFZN
BELTK
BJAXD
BKOJK
BLXMC
CS3
DU5
E.L
EBS
EFJIC
EJD
EO8
EO9
EP2
EP3
FDB
FEDTE
FGOYB
FIRID
FNPLU
FYGXN
G-2
G-Q
GBLVA
HVGLF
HZ~
IHE
J1W
JARJE
JJJVA
K-O
KOM
LY6
LY7
M41
MO0
N9A
O-L
O9-
OAUVE
OZT
P-8
P-9
P2P
PC.
Q38
R2-
RIG
ROL
RPZ
SAC
SDF
SDG
SES
SET
SEW
SPC
SPCBC
SSR
SST
SSW
SSZ
T5K
VH1
WUQ
ZMT
~G-
AATTM
AAXKI
AAYWO
AAYXX
ABJNI
ABWVN
ACRPL
ACVFH
ADCNI
ADNMO
AEIPS
AEUPX
AFJKZ
AFPUW
AFXIZ
AGCQF
AGQPQ
AGRNS
AIGII
AIIUN
AKBMS
AKYEP
ANKPU
APXCP
BNPGV
CITATION
SSH
ID FETCH-LOGICAL-c2109-4fd6734d4c40593b52aa1dfa133475ed03d2e5662fe48b532f018120042405843
IEDL.DBID .~1
ISSN 0378-7796
IngestDate Tue Jul 01 04:32:20 EDT 2025
Sat Jul 27 15:40:50 EDT 2024
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Keywords Parameter estimation
Radial distribution grids
Distribution flow (DistFlow) model
Admittance matrix
Grid-side measurement devices
Language English
License This is an open access article under the CC BY license.
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c2109-4fd6734d4c40593b52aa1dfa133475ed03d2e5662fe48b532f018120042405843
ORCID 0000-0001-7943-4335
0000-0002-2418-310X
0000-0002-9230-3548
OpenAccessLink https://www.sciencedirect.com/science/article/pii/S0378779624005054
ParticipantIDs crossref_primary_10_1016_j_epsr_2024_110619
elsevier_sciencedirect_doi_10_1016_j_epsr_2024_110619
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate September 2024
2024-09-00
PublicationDateYYYYMMDD 2024-09-01
PublicationDate_xml – month: 09
  year: 2024
  text: September 2024
PublicationDecade 2020
PublicationTitle Electric power systems research
PublicationYear 2024
Publisher Elsevier B.V
Publisher_xml – name: Elsevier B.V
References Bozorg, Fatemi, Pena, Mousavi, Carpita (b1) 2020
Slutsker, Mokhtari, Clements (b2) 1998
Lateef, Harley, Habetler (b5) 2019
Rayati (b17) 2023
Carpita, Affolter, Bozorg, Houmard, Wasterlain (b15) 2019
Carpita, Dassatti, Bozorg (b16) 2019
Ardakanian, Wong, Dobbe, Low, von Meier, Tomlin, Yuan (b6) 2019; 6
Flynn, Pengwah, Razzaghi, Andrew (b10) 2023
Srinivas, Wu (b8) 2022; 71
Shamshiri, Gan, Tan (b18) 2012
Gupta, Sossan, Le Boudec, Paolone (b7) 2021; 70
Amberg, Rangel (b11) 2014; 1
Virtanen, Gommers, Oliphant, Haberland, Reddy, Cournapeau, Burovski, Peterson, Weckesser, Bright (b14) 2020; 17
Miao, Ilić, Wu, Münz (b9) 2019
Saadeh, McCann, Alsarray, Saadeh (b4) 2017; 93
Wells (b3) 2010
Patrascu, Muntean, Cornea, Hedes (b19) 2016
Baran, Wu (b12) 1989; 9
B. Gärtner, S. Schönherr, An efficient, exact, and generic quadratic programming solver for geometric optimization, in: Proceedings of the Sixteenth Annual Symposium on Computational Geometry, 2000, pp. 110–118.
Shamshiri (10.1016/j.epsr.2024.110619_b18) 2012
10.1016/j.epsr.2024.110619_b13
Carpita (10.1016/j.epsr.2024.110619_b15) 2019
Patrascu (10.1016/j.epsr.2024.110619_b19) 2016
Lateef (10.1016/j.epsr.2024.110619_b5) 2019
Srinivas (10.1016/j.epsr.2024.110619_b8) 2022; 71
Saadeh (10.1016/j.epsr.2024.110619_b4) 2017; 93
Rayati (10.1016/j.epsr.2024.110619_b17) 2023
Flynn (10.1016/j.epsr.2024.110619_b10) 2023
Virtanen (10.1016/j.epsr.2024.110619_b14) 2020; 17
Bozorg (10.1016/j.epsr.2024.110619_b1) 2020
Wells (10.1016/j.epsr.2024.110619_b3) 2010
Slutsker (10.1016/j.epsr.2024.110619_b2) 1998
Ardakanian (10.1016/j.epsr.2024.110619_b6) 2019; 6
Baran (10.1016/j.epsr.2024.110619_b12) 1989; 9
Carpita (10.1016/j.epsr.2024.110619_b16) 2019
Gupta (10.1016/j.epsr.2024.110619_b7) 2021; 70
Miao (10.1016/j.epsr.2024.110619_b9) 2019
Amberg (10.1016/j.epsr.2024.110619_b11) 2014; 1
References_xml – start-page: 1
  year: 2019
  end-page: 5
  ident: b9
  article-title: Distribution grid admittance estimation with limited non-synchronized measurements
  publication-title: 2019 IEEE Power & Energy Society General Meeting
– volume: 1
  start-page: 1
  year: 2014
  end-page: 6
  ident: b11
  article-title: Tutorial on symmetrical components
  publication-title: Selinc. Cachefly. Net.
– start-page: 367
  year: 2012
  end-page: 372
  ident: b18
  article-title: A review of recent development in smart grid and micro-grid laboratories
  publication-title: 2012 IEEE International Power Engineering and Optimization Conference Melaka, Malaysia
– volume: 93
  start-page: 395
  year: 2017
  end-page: 405
  ident: b4
  article-title: A new approach for evaluation of the bus admittance matrix from synchrophasors:(A statistical Ybus estimation approach)
  publication-title: Int. J. Electr. Power Energy Syst.
– start-page: 1
  year: 2019
  end-page: 5
  ident: b5
  article-title: Bus admittance matrix estimation using phasor measurements
  publication-title: 2019 IEEE Power & Energy Society Innovative Smart Grid Technologies Conference
– start-page: 1
  year: 2016
  end-page: 6
  ident: b19
  article-title: Microgrid laboratory for educational and research purposes
  publication-title: 2016 IEEE 16th International Conference on Environment and Electrical Engineering
– year: 2023
  ident: b10
  article-title: An improved algorithm for topology identification of distribution networks using smart meter data and its application for fault detection
  publication-title: IEEE Trans. Smart Grid
– volume: 9
  start-page: 101
  year: 1989
  end-page: 102
  ident: b12
  article-title: Network reconfiguration in distribution systems for loss reduction and load balancing
  publication-title: IEEE Power Eng. Rev.
– year: 2020
  ident: b1
  article-title: L’intelligence artificielle au service des réseaux: le projet Grid Data Digger
– volume: 70
  start-page: 1
  year: 2021
  end-page: 13
  ident: b7
  article-title: Compound admittance matrix estimation of three-phase untransposed power distribution grids using synchrophasor measurements
  publication-title: IEEE Trans. Instrum. Meas.
– start-page: 94
  year: 2019
  end-page: 99
  ident: b16
  article-title: Low voltage grid monitoring and control enhancement: The GridEye solution
  publication-title: 2019 International Conference on Clean Electrical Power
– year: 2023
  ident: b17
  article-title: Ybus Estimation Code
– year: 2010
  ident: b3
  article-title: Impedance measurement of a power line
– volume: 6
  start-page: 950
  year: 2019
  end-page: 960
  ident: b6
  article-title: On identification of distribution grids
  publication-title: IEEE Trans. Control Netw. Syst.
– reference: B. Gärtner, S. Schönherr, An efficient, exact, and generic quadratic programming solver for geometric optimization, in: Proceedings of the Sixteenth Annual Symposium on Computational Geometry, 2000, pp. 110–118.
– start-page: P
  year: 2019
  end-page: 1
  ident: b15
  article-title: Reine, a flexible laboratory for emulating and testing the distribution grid
  publication-title: 2019 21st European Conference on Power Electronics and Applications
– volume: 71
  start-page: 1
  year: 2022
  end-page: 14
  ident: b8
  article-title: Topology and parameter identification of distribution network using smart meter and
  publication-title: IEEE Trans. Instrum. Meas.
– volume: 17
  start-page: 261
  year: 2020
  end-page: 272
  ident: b14
  article-title: SciPy 1.0: Fundamental algorithms for scientific computing in Python
  publication-title: Nat. Methods
– year: 1998
  ident: b2
  article-title: Method and apparatus for real time recursive parameter energy management system
– volume: 70
  start-page: 1
  year: 2021
  ident: 10.1016/j.epsr.2024.110619_b7
  article-title: Compound admittance matrix estimation of three-phase untransposed power distribution grids using synchrophasor measurements
  publication-title: IEEE Trans. Instrum. Meas.
– ident: 10.1016/j.epsr.2024.110619_b13
  doi: 10.1145/336154.336191
– year: 2023
  ident: 10.1016/j.epsr.2024.110619_b17
– start-page: 1
  year: 2019
  ident: 10.1016/j.epsr.2024.110619_b9
  article-title: Distribution grid admittance estimation with limited non-synchronized measurements
– volume: 17
  start-page: 261
  issue: 3
  year: 2020
  ident: 10.1016/j.epsr.2024.110619_b14
  article-title: SciPy 1.0: Fundamental algorithms for scientific computing in Python
  publication-title: Nat. Methods
  doi: 10.1038/s41592-019-0686-2
– start-page: 94
  year: 2019
  ident: 10.1016/j.epsr.2024.110619_b16
  article-title: Low voltage grid monitoring and control enhancement: The GridEye solution
– volume: 93
  start-page: 395
  year: 2017
  ident: 10.1016/j.epsr.2024.110619_b4
  article-title: A new approach for evaluation of the bus admittance matrix from synchrophasors:(A statistical Ybus estimation approach)
  publication-title: Int. J. Electr. Power Energy Syst.
  doi: 10.1016/j.ijepes.2017.06.021
– year: 2020
  ident: 10.1016/j.epsr.2024.110619_b1
– volume: 9
  start-page: 101
  issue: 4
  year: 1989
  ident: 10.1016/j.epsr.2024.110619_b12
  article-title: Network reconfiguration in distribution systems for loss reduction and load balancing
  publication-title: IEEE Power Eng. Rev.
  doi: 10.1109/MPER.1989.4310642
– volume: 1
  start-page: 1
  year: 2014
  ident: 10.1016/j.epsr.2024.110619_b11
  article-title: Tutorial on symmetrical components
  publication-title: Selinc. Cachefly. Net.
– start-page: 367
  year: 2012
  ident: 10.1016/j.epsr.2024.110619_b18
  article-title: A review of recent development in smart grid and micro-grid laboratories
– year: 2023
  ident: 10.1016/j.epsr.2024.110619_b10
  article-title: An improved algorithm for topology identification of distribution networks using smart meter data and its application for fault detection
  publication-title: IEEE Trans. Smart Grid
  doi: 10.1109/TSG.2023.3239650
– start-page: P
  year: 2019
  ident: 10.1016/j.epsr.2024.110619_b15
  article-title: Reine, a flexible laboratory for emulating and testing the distribution grid
– volume: 71
  start-page: 1
  year: 2022
  ident: 10.1016/j.epsr.2024.110619_b8
  article-title: Topology and parameter identification of distribution network using smart meter and μPMU measurements
  publication-title: IEEE Trans. Instrum. Meas.
  doi: 10.1109/TIM.2022.3175043
– year: 2010
  ident: 10.1016/j.epsr.2024.110619_b3
– start-page: 1
  year: 2019
  ident: 10.1016/j.epsr.2024.110619_b5
  article-title: Bus admittance matrix estimation using phasor measurements
– start-page: 1
  year: 2016
  ident: 10.1016/j.epsr.2024.110619_b19
  article-title: Microgrid laboratory for educational and research purposes
– volume: 6
  start-page: 950
  issue: 3
  year: 2019
  ident: 10.1016/j.epsr.2024.110619_b6
  article-title: On identification of distribution grids
  publication-title: IEEE Trans. Control Netw. Syst.
  doi: 10.1109/TCNS.2019.2891002
– year: 1998
  ident: 10.1016/j.epsr.2024.110619_b2
SSID ssj0006975
Score 2.4198258
Snippet Accurate knowledge of the admittance matrix of distribution grids is essential for grid operation and control as more renewable energy sources and electric...
SourceID crossref
elsevier
SourceType Index Database
Publisher
StartPage 110619
SubjectTerms Admittance matrix
Distribution flow (DistFlow) model
Grid-side measurement devices
Parameter estimation
Radial distribution grids
Title Admittance matrix estimation of radial distribution grids using power and voltage magnitude measurements
URI https://dx.doi.org/10.1016/j.epsr.2024.110619
Volume 234
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVESC
  databaseName: Baden-Württemberg Complete Freedom Collection (Elsevier)
  customDbUrl:
  eissn: 1873-2046
  dateEnd: 99991231
  omitProxy: true
  ssIdentifier: ssj0006975
  issn: 0378-7796
  databaseCode: GBLVA
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
– providerCode: PRVESC
  databaseName: Elsevier SD Complete Freedom Collection [SCCMFC]
  customDbUrl:
  eissn: 1873-2046
  dateEnd: 99991231
  omitProxy: true
  ssIdentifier: ssj0006975
  issn: 0378-7796
  databaseCode: ACRLP
  dateStart: 19950101
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
– providerCode: PRVESC
  databaseName: Elsevier SD Freedom Collection
  customDbUrl:
  eissn: 1873-2046
  dateEnd: 99991231
  omitProxy: true
  ssIdentifier: ssj0006975
  issn: 0378-7796
  databaseCode: .~1
  dateStart: 19950101
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
– providerCode: PRVESC
  databaseName: Elsevier SD Freedom Collection Journals [SCFCJ]
  customDbUrl:
  eissn: 1873-2046
  dateEnd: 99991231
  omitProxy: true
  ssIdentifier: ssj0006975
  issn: 0378-7796
  databaseCode: AIKHN
  dateStart: 19950101
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
– providerCode: PRVLSH
  databaseName: Elsevier Journals
  customDbUrl:
  mediaType: online
  eissn: 1873-2046
  dateEnd: 99991231
  omitProxy: true
  ssIdentifier: ssj0006975
  issn: 0378-7796
  databaseCode: AKRWK
  dateStart: 19770901
  isFulltext: true
  providerName: Library Specific Holdings
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LS8NAEB5KvehBfGJ9sQdvEhs3m8ceS7FUxV600FvYZHdrRdPQpuDJ3-5MHrSCePCWhN0Qvl3msfnmG4ArrqXhIkwdV6nQEVZaJ-FGOSFG50HqR9qWVe9Po2A4Fg8Tf9KCflMLQ7TK2vZXNr201vWTbo1mN5_Nus-uh5stlAGxINGPkyYoqX_hnr75WtM8AlmK7dJgh0bXhTMVx8vkS9IE5YLY8AGp7fzmnDYczmAPdutIkfWqj9mHlskOYGdDP_AQXkn6tiho4dgHae1_MhLNqKoR2dyyBSkPvDNN6rh1Yys2Xcz0khHffcpy6pHGVKYZWqkCTQu-huhEK41X69PD5RGMB3cv_aFTt05wUszhJIKug9ATWqSCevYlPlfqVluFGakIfaNdT3ODkRy3RkSJ73FbCneVP0JdjEm8Y2hn88ycAEtTq42klabTwiBKbChlgnENJnIiUroD1w1mcV4pZMQNdewtJoRjQjiuEO6A38Aa_1jnGE34H_NO_znvDLbprmKFnUO7WKzMBYYRRXJZ7pNL2OrdPw5H33ZtyII
linkProvider Elsevier
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3JTsMwEB2V9gAcEKsoqw_cUNSSONuxqqhSulxopd4iJ7ZLEaRRm0p8PjNZoEiIA7coiaPo2Xoe22_eANyZ0lcmd2OjLYRrcO1rIzKVMFyMzp3Y9qTOs95HYyeY8qeZPatBt8qFIVllyf0Fp-dsXd5plWi20sWi9dy2cLC5vkMqSJzH-Q40uI2cXIdGpz8Ixl-E7Pi53y69b1CDMnemkHmpdE22oCYnQbxDhju_zU9bc07vEA7KYJF1iv85gppKjmF_y0LwBF7I_TbLqO_YO9ntfzDyzSgSEtlSsxWZD7wxSQa5ZW0rNl8t5JqR5H3OUiqTxkQiGRJVhuyCnyFF0Ubi1fcG4voUpr3HSTcwyuoJRozLOB9xl45rccljTmX7ItsU4kFqgYtS7tpKti1pKgzmTK24F9mWqXPvrvwstI1hiXUG9WSZqHNgcayl8qmzacPQ8SLt-n6EoQ2u5bgnZBPuK8zCtDDJCCv12GtICIeEcFgg3AS7gjX80dUhsvgf7S7-2e4WdoPJaBgO--PBJezRk0IkdgX1bLVR1xhVZNFNOWo-AVn3yy0
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=Admittance+matrix+estimation+of+radial+distribution+grids+using+power+and+voltage+magnitude+measurements&rft.jtitle=Electric+power+systems+research&rft.au=Rayati%2C+Mohammad&rft.au=Bozorg%2C+Mokhtar&rft.au=Alizadeh-Mousavi%2C+Omid&rft.date=2024-09-01&rft.issn=0378-7796&rft.volume=234&rft.spage=110619&rft_id=info:doi/10.1016%2Fj.epsr.2024.110619&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_epsr_2024_110619
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0378-7796&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0378-7796&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0378-7796&client=summon