Application of the lumped parameter line model to simulate electromagnetic transients in three-phase transmission lines with vertical symmetry

Detalhes bibliográficos
Autor(a) principal: Garbelim Pascoalato, Taina Fernanda [UNESP]
Data de Publicação: 2022
Outros Autores: Torrez Caballero, Pablo [UNESP], Kurokawa, Sergio [UNESP]
Tipo de documento: Artigo
Idioma: por
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1109/TLA.2022.9667135
http://hdl.handle.net/11449/233984
Resumo: In this paper, we propose a transmission line model to represent three-phase untransposed transmission lines with vertical symmetry. Here, we decouple a transmission line into its propagation modes using Concordia's matrix, which is the proper orthogonal form of Clarke's matrix that has its columns normalised. Due to the usage of Concordia's matrix, the transmission line is decoupled into two coupled modes and one uncoupled mode. We represent the uncoupled mode by a single-phase transmission line, and the coupled modes by a two-phase transmission line without vertical symmetry. We compute voltages and currents for the single-phase transmission line using the classic Lumped Parameter Model. Voltages and currents in the two-phase transmission line are calculated using a cascade of coupled L circuits pairs. Modal voltages and currents are then transformed back to the phase domain. We compare the results obtained with the proposed model to those obtained with two well-known time domain models, the classic modal lumped parameter model and the lumped parameter model available in the Alternate Transients Program ATP. Results show that the proposed model agrees with time-domain models and has the advantage that is developed in the time domain without needing any inverse transformations.
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spelling Application of the lumped parameter line model to simulate electromagnetic transients in three-phase transmission lines with vertical symmetryElectromagnetic transientslumped parametersmodal decompositiontime domaintransmission linesIn this paper, we propose a transmission line model to represent three-phase untransposed transmission lines with vertical symmetry. Here, we decouple a transmission line into its propagation modes using Concordia's matrix, which is the proper orthogonal form of Clarke's matrix that has its columns normalised. Due to the usage of Concordia's matrix, the transmission line is decoupled into two coupled modes and one uncoupled mode. We represent the uncoupled mode by a single-phase transmission line, and the coupled modes by a two-phase transmission line without vertical symmetry. We compute voltages and currents for the single-phase transmission line using the classic Lumped Parameter Model. Voltages and currents in the two-phase transmission line are calculated using a cascade of coupled L circuits pairs. Modal voltages and currents are then transformed back to the phase domain. We compare the results obtained with the proposed model to those obtained with two well-known time domain models, the classic modal lumped parameter model and the lumped parameter model available in the Alternate Transients Program ATP. Results show that the proposed model agrees with time-domain models and has the advantage that is developed in the time domain without needing any inverse transformations.Sao Paulo State University (UNESP) Department of Electrical EnegineeringSao Paulo State University (UNESP) Department of Electrical EnegineeringUniversidade Estadual Paulista (UNESP)Garbelim Pascoalato, Taina Fernanda [UNESP]Torrez Caballero, Pablo [UNESP]Kurokawa, Sergio [UNESP]2022-05-01T11:54:30Z2022-05-01T11:54:30Z2022-03-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article379-385http://dx.doi.org/10.1109/TLA.2022.9667135IEEE Latin America Transactions, v. 20, n. 3, p. 379-385, 2022.1548-0992http://hdl.handle.net/11449/23398410.1109/TLA.2022.96671352-s2.0-85122521142Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPporIEEE Latin America Transactionsinfo:eu-repo/semantics/openAccess2024-07-04T19:05:44Zoai:repositorio.unesp.br:11449/233984Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:08:49.752852Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Application of the lumped parameter line model to simulate electromagnetic transients in three-phase transmission lines with vertical symmetry
title Application of the lumped parameter line model to simulate electromagnetic transients in three-phase transmission lines with vertical symmetry
spellingShingle Application of the lumped parameter line model to simulate electromagnetic transients in three-phase transmission lines with vertical symmetry
Garbelim Pascoalato, Taina Fernanda [UNESP]
Electromagnetic transients
lumped parameters
modal decomposition
time domain
transmission lines
title_short Application of the lumped parameter line model to simulate electromagnetic transients in three-phase transmission lines with vertical symmetry
title_full Application of the lumped parameter line model to simulate electromagnetic transients in three-phase transmission lines with vertical symmetry
title_fullStr Application of the lumped parameter line model to simulate electromagnetic transients in three-phase transmission lines with vertical symmetry
title_full_unstemmed Application of the lumped parameter line model to simulate electromagnetic transients in three-phase transmission lines with vertical symmetry
title_sort Application of the lumped parameter line model to simulate electromagnetic transients in three-phase transmission lines with vertical symmetry
author Garbelim Pascoalato, Taina Fernanda [UNESP]
author_facet Garbelim Pascoalato, Taina Fernanda [UNESP]
Torrez Caballero, Pablo [UNESP]
Kurokawa, Sergio [UNESP]
author_role author
author2 Torrez Caballero, Pablo [UNESP]
Kurokawa, Sergio [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Garbelim Pascoalato, Taina Fernanda [UNESP]
Torrez Caballero, Pablo [UNESP]
Kurokawa, Sergio [UNESP]
dc.subject.por.fl_str_mv Electromagnetic transients
lumped parameters
modal decomposition
time domain
transmission lines
topic Electromagnetic transients
lumped parameters
modal decomposition
time domain
transmission lines
description In this paper, we propose a transmission line model to represent three-phase untransposed transmission lines with vertical symmetry. Here, we decouple a transmission line into its propagation modes using Concordia's matrix, which is the proper orthogonal form of Clarke's matrix that has its columns normalised. Due to the usage of Concordia's matrix, the transmission line is decoupled into two coupled modes and one uncoupled mode. We represent the uncoupled mode by a single-phase transmission line, and the coupled modes by a two-phase transmission line without vertical symmetry. We compute voltages and currents for the single-phase transmission line using the classic Lumped Parameter Model. Voltages and currents in the two-phase transmission line are calculated using a cascade of coupled L circuits pairs. Modal voltages and currents are then transformed back to the phase domain. We compare the results obtained with the proposed model to those obtained with two well-known time domain models, the classic modal lumped parameter model and the lumped parameter model available in the Alternate Transients Program ATP. Results show that the proposed model agrees with time-domain models and has the advantage that is developed in the time domain without needing any inverse transformations.
publishDate 2022
dc.date.none.fl_str_mv 2022-05-01T11:54:30Z
2022-05-01T11:54:30Z
2022-03-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1109/TLA.2022.9667135
IEEE Latin America Transactions, v. 20, n. 3, p. 379-385, 2022.
1548-0992
http://hdl.handle.net/11449/233984
10.1109/TLA.2022.9667135
2-s2.0-85122521142
url http://dx.doi.org/10.1109/TLA.2022.9667135
http://hdl.handle.net/11449/233984
identifier_str_mv IEEE Latin America Transactions, v. 20, n. 3, p. 379-385, 2022.
1548-0992
10.1109/TLA.2022.9667135
2-s2.0-85122521142
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv IEEE Latin America Transactions
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 379-385
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808128322176024576