Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectors

Detalhes bibliográficos
Autor(a) principal: Kurokawa, Sergio
Data de Publicação: 2006
Outros Autores: Daltin, Rodrigo S., Prado, Afonso J., Pissolato, Jose, Bovolato, Luiz F.
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1109/PES.2006.1709284
http://hdl.handle.net/11449/39445
Resumo: The objective of this paper is to show an alternative representation in time domain of a non-transposed three-phase transmission line decomposed in its exact modes by using two transformation matrices. The first matrix is Clarke's matrix that is real, frequency independent, easily represented in computational transient programs (EMTP) and separates the line into Quasi-modes alpha, beta and zero. After that, Quasi-modes a and zero are decomposed into their exact modes by using a modal transformation matrix whose elements can be synthesized in time domain through standard curve-fitting techniques. The main advantage of this alternative representation is to reduce the processing time because a frequency dependent modal transformation matrix of a three-phase line has nine elements to be represented in time domain while a modal transformation matrix of a two-phase line has only four elements. This paper shows modal decomposition process and eigenvectors of a nontransposed three-phase line with a vertical symmetry plane whose nominal voltage is 440 kV and line length is 500 km.
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spelling Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectorsElectromagnetic transients analysisFrequency domain analysisTime domain analysisTransmission line matrix methodsThe objective of this paper is to show an alternative representation in time domain of a non-transposed three-phase transmission line decomposed in its exact modes by using two transformation matrices. The first matrix is Clarke's matrix that is real, frequency independent, easily represented in computational transient programs (EMTP) and separates the line into Quasi-modes alpha, beta and zero. After that, Quasi-modes a and zero are decomposed into their exact modes by using a modal transformation matrix whose elements can be synthesized in time domain through standard curve-fitting techniques. The main advantage of this alternative representation is to reduce the processing time because a frequency dependent modal transformation matrix of a three-phase line has nine elements to be represented in time domain while a modal transformation matrix of a two-phase line has only four elements. This paper shows modal decomposition process and eigenvectors of a nontransposed three-phase line with a vertical symmetry plane whose nominal voltage is 440 kV and line length is 500 km.Univ Estadual Paulista, Fac Engn Ilha Solteira, BR-15385000 Ilha Solteira, BrazilUniv Estadual Paulista, Fac Engn Ilha Solteira, BR-15385000 Ilha Solteira, BrazilIEEEUniversidade Estadual Paulista (Unesp)Kurokawa, SergioDaltin, Rodrigo S.Prado, Afonso J.Pissolato, JoseBovolato, Luiz F.2014-05-20T15:29:59Z2014-05-20T15:29:59Z2006-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject857-863http://dx.doi.org/10.1109/PES.2006.17092842006 Power Engineering Society General Meeting, Vols 1-9. New York: IEEE, p. 857-863, 2006.1932-5517http://hdl.handle.net/11449/3944510.1109/PES.2006.1709284WOS:000247080001060483084523054922378706478550058200000-0001-5716-6827Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPeng2006 Power Engineering Society General Meeting, Vols 1-9info:eu-repo/semantics/openAccess2024-07-04T19:11:32Zoai:repositorio.unesp.br:11449/39445Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:41:30.670402Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectors
title Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectors
spellingShingle Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectors
Kurokawa, Sergio
Electromagnetic transients analysis
Frequency domain analysis
Time domain analysis
Transmission line matrix methods
title_short Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectors
title_full Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectors
title_fullStr Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectors
title_full_unstemmed Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectors
title_sort Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectors
author Kurokawa, Sergio
author_facet Kurokawa, Sergio
Daltin, Rodrigo S.
Prado, Afonso J.
Pissolato, Jose
Bovolato, Luiz F.
author_role author
author2 Daltin, Rodrigo S.
Prado, Afonso J.
Pissolato, Jose
Bovolato, Luiz F.
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Kurokawa, Sergio
Daltin, Rodrigo S.
Prado, Afonso J.
Pissolato, Jose
Bovolato, Luiz F.
dc.subject.por.fl_str_mv Electromagnetic transients analysis
Frequency domain analysis
Time domain analysis
Transmission line matrix methods
topic Electromagnetic transients analysis
Frequency domain analysis
Time domain analysis
Transmission line matrix methods
description The objective of this paper is to show an alternative representation in time domain of a non-transposed three-phase transmission line decomposed in its exact modes by using two transformation matrices. The first matrix is Clarke's matrix that is real, frequency independent, easily represented in computational transient programs (EMTP) and separates the line into Quasi-modes alpha, beta and zero. After that, Quasi-modes a and zero are decomposed into their exact modes by using a modal transformation matrix whose elements can be synthesized in time domain through standard curve-fitting techniques. The main advantage of this alternative representation is to reduce the processing time because a frequency dependent modal transformation matrix of a three-phase line has nine elements to be represented in time domain while a modal transformation matrix of a two-phase line has only four elements. This paper shows modal decomposition process and eigenvectors of a nontransposed three-phase line with a vertical symmetry plane whose nominal voltage is 440 kV and line length is 500 km.
publishDate 2006
dc.date.none.fl_str_mv 2006-01-01
2014-05-20T15:29:59Z
2014-05-20T15:29:59Z
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 http://dx.doi.org/10.1109/PES.2006.1709284
2006 Power Engineering Society General Meeting, Vols 1-9. New York: IEEE, p. 857-863, 2006.
1932-5517
http://hdl.handle.net/11449/39445
10.1109/PES.2006.1709284
WOS:000247080001060
4830845230549223
7870647855005820
0000-0001-5716-6827
url http://dx.doi.org/10.1109/PES.2006.1709284
http://hdl.handle.net/11449/39445
identifier_str_mv 2006 Power Engineering Society General Meeting, Vols 1-9. New York: IEEE, p. 857-863, 2006.
1932-5517
10.1109/PES.2006.1709284
WOS:000247080001060
4830845230549223
7870647855005820
0000-0001-5716-6827
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2006 Power Engineering Society General Meeting, Vols 1-9
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 857-863
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_ 1808128687907799040

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