Modal transformation obtained from Clarke's matrix - Asymmetrical three-phase case

Detalhes bibliográficos
Autor(a) principal: Prado, A. J.
Data de Publicação: 2007
Outros Autores: Pissolato Filho, J., Kurokawa, S. [UNESP], Bovolato, L. F. [UNESP], IEEE
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/195887
Resumo: Some constant matrices can be used as phase-mode transformation matrices for transposed three-phase transmission tines. Clarke's matrix is one of these options. Its application as a phase-mode transformation matrix for untransposed three-phase transmission lines has been analyzed through error and frequency scan comparisons. Based on an actual untransposed asymmetrical three-phase transmission line example, a correction procedure is applied searching for better results from the Clarke's matrix applicaton as a phase-mode transformation matrix. The error analyses are carried out using Clarke's matrix and the new transformation matrices obtained from the correction procedure. Applying Clarke's matrix, the relative errors of the eigenvalue matrix elements can be considered negligible and the relative values of the off-diagonal elements are significant. If the the corrected transformation matrices are used, the relative values of the off-diagonal elements are decreased. Based on the results of these analyses, the homopolar mode is more sensitive to the frequency influence than the two other modes related to three-phase lines.
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spelling Modal transformation obtained from Clarke's matrix - Asymmetrical three-phase caseClarke's matrixeigenvectoreigenvaluefrequencymode domaintransformation matrixtransmission linesSome constant matrices can be used as phase-mode transformation matrices for transposed three-phase transmission tines. Clarke's matrix is one of these options. Its application as a phase-mode transformation matrix for untransposed three-phase transmission lines has been analyzed through error and frequency scan comparisons. Based on an actual untransposed asymmetrical three-phase transmission line example, a correction procedure is applied searching for better results from the Clarke's matrix applicaton as a phase-mode transformation matrix. The error analyses are carried out using Clarke's matrix and the new transformation matrices obtained from the correction procedure. Applying Clarke's matrix, the relative errors of the eigenvalue matrix elements can be considered negligible and the relative values of the off-diagonal elements are significant. If the the corrected transformation matrices are used, the relative values of the off-diagonal elements are decreased. Based on the results of these analyses, the homopolar mode is more sensitive to the frequency influence than the two other modes related to three-phase lines.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Univ Estadual Londrina, DEE CTU UEL, Dept Elect Engn, Londrina, BrazilUniv Estadual Paulista, Dept Elect Engn, DEE FEIS UNESP, Paulista, BrazilCampinas Univ State, Dept Elect Engn, DSCE FEEC UNICAMP, BR-13081970 Campinas, SP, BrazilUniv Estadual Paulista, Dept Elect Engn, DEE FEIS UNESP, Paulista, BrazilFAPESP: TPWRD-00710-2005IeeeUniversidade Estadual de Londrina (UEL)Universidade Estadual Paulista (Unesp)Universidade Estadual de Campinas (UNICAMP)Prado, A. J.Pissolato Filho, J.Kurokawa, S. [UNESP]Bovolato, L. F. [UNESP]IEEE2020-12-10T18:06:44Z2020-12-10T18:06:44Z2007-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject220-+2007 Ieee Power Engineering Society General Meeting, Vols 1-10. New York: Ieee, p. 220-+, 2007.1932-5517http://hdl.handle.net/11449/195887WOS:000251345400046Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPeng2007 Ieee Power Engineering Society General Meeting, Vols 1-10info:eu-repo/semantics/openAccess2024-07-04T19:12:00Zoai:repositorio.unesp.br:11449/195887Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:49:00.246319Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Modal transformation obtained from Clarke's matrix - Asymmetrical three-phase case
title Modal transformation obtained from Clarke's matrix - Asymmetrical three-phase case
spellingShingle Modal transformation obtained from Clarke's matrix - Asymmetrical three-phase case
Prado, A. J.
Clarke's matrix
eigenvector
eigenvalue
frequency
mode domain
transformation matrix
transmission lines
title_short Modal transformation obtained from Clarke's matrix - Asymmetrical three-phase case
title_full Modal transformation obtained from Clarke's matrix - Asymmetrical three-phase case
title_fullStr Modal transformation obtained from Clarke's matrix - Asymmetrical three-phase case
title_full_unstemmed Modal transformation obtained from Clarke's matrix - Asymmetrical three-phase case
title_sort Modal transformation obtained from Clarke's matrix - Asymmetrical three-phase case
author Prado, A. J.
author_facet Prado, A. J.
Pissolato Filho, J.
Kurokawa, S. [UNESP]
Bovolato, L. F. [UNESP]
IEEE
author_role author
author2 Pissolato Filho, J.
Kurokawa, S. [UNESP]
Bovolato, L. F. [UNESP]
IEEE
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual de Londrina (UEL)
Universidade Estadual Paulista (Unesp)
Universidade Estadual de Campinas (UNICAMP)
dc.contributor.author.fl_str_mv Prado, A. J.
Pissolato Filho, J.
Kurokawa, S. [UNESP]
Bovolato, L. F. [UNESP]
IEEE
dc.subject.por.fl_str_mv Clarke's matrix
eigenvector
eigenvalue
frequency
mode domain
transformation matrix
transmission lines
topic Clarke's matrix
eigenvector
eigenvalue
frequency
mode domain
transformation matrix
transmission lines
description Some constant matrices can be used as phase-mode transformation matrices for transposed three-phase transmission tines. Clarke's matrix is one of these options. Its application as a phase-mode transformation matrix for untransposed three-phase transmission lines has been analyzed through error and frequency scan comparisons. Based on an actual untransposed asymmetrical three-phase transmission line example, a correction procedure is applied searching for better results from the Clarke's matrix applicaton as a phase-mode transformation matrix. The error analyses are carried out using Clarke's matrix and the new transformation matrices obtained from the correction procedure. Applying Clarke's matrix, the relative errors of the eigenvalue matrix elements can be considered negligible and the relative values of the off-diagonal elements are significant. If the the corrected transformation matrices are used, the relative values of the off-diagonal elements are decreased. Based on the results of these analyses, the homopolar mode is more sensitive to the frequency influence than the two other modes related to three-phase lines.
publishDate 2007
dc.date.none.fl_str_mv 2007-01-01
2020-12-10T18:06:44Z
2020-12-10T18:06:44Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv 2007 Ieee Power Engineering Society General Meeting, Vols 1-10. New York: Ieee, p. 220-+, 2007.
1932-5517
http://hdl.handle.net/11449/195887
WOS:000251345400046
identifier_str_mv 2007 Ieee Power Engineering Society General Meeting, Vols 1-10. New York: Ieee, p. 220-+, 2007.
1932-5517
WOS:000251345400046
url http://hdl.handle.net/11449/195887
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2007 Ieee Power Engineering Society General Meeting, Vols 1-10
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 220-+
dc.publisher.none.fl_str_mv Ieee
publisher.none.fl_str_mv Ieee
dc.source.none.fl_str_mv Web of Science
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_ 1808129554586271744

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