Eigenvalue analyses of two parallel lines using a single real transformation matrix

Detalhes bibliográficos
Autor(a) principal: Prado, A. J. [UNESP]
Data de Publicação: 2005
Outros Autores: Pissolato Filho, J., Kurokawa, S. [UNESP], Bovolato, L. F. [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1109/PES.2005.1489450
http://hdl.handle.net/11449/68457
Resumo: For a typical non-symmetrical system with two parallel three phase transmission lines, modal transformation is applied using some examples of single real transformation matrices. These examples are applied searching an adequate single real transformation matrix to two parallel three phase transmission line systems. The analyses are started with the eigenvector and eigenvalue studies, using Clarke's transformation or linear combinations of Clarke's elements. The Z C and parameters are analyzed for the case that presents the smallest errors between the exact eigenvalues and the single real transformation matrix application results. The single real transformation determined for this case is based on Clarke's matrix and its main characteristic is the use of a unique homopolar reference. So, the homopolar mode becomes a connector mode between the two three-phase circuits of the analyzed system. ©2005 IEEE.
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spelling Eigenvalue analyses of two parallel lines using a single real transformation matrixClarke matrixEigenvalueEigenvectorFrequencyMode domainTransformation matrixTransmission linesParallel linesEigenvalues and eigenfunctionsElectric connectorsMathematical transformationsMatrix algebraElectric linesFor a typical non-symmetrical system with two parallel three phase transmission lines, modal transformation is applied using some examples of single real transformation matrices. These examples are applied searching an adequate single real transformation matrix to two parallel three phase transmission line systems. The analyses are started with the eigenvector and eigenvalue studies, using Clarke's transformation or linear combinations of Clarke's elements. The Z C and parameters are analyzed for the case that presents the smallest errors between the exact eigenvalues and the single real transformation matrix application results. The single real transformation determined for this case is based on Clarke's matrix and its main characteristic is the use of a unique homopolar reference. So, the homopolar mode becomes a connector mode between the two three-phase circuits of the analyzed system. ©2005 IEEE.IEEEDepartment of Electrical Engineering FEIS/UNESP University of São Paulo StateDepartment of Electrical Engineering DSCE/UNICAMP State University of CampinasFEIS UNESPDepartment of Energy and Control UNICAMPDepartment of Electrical Engineering FEIS/UNESP University of São Paulo StateFEIS UNESPIEEEUniversidade Estadual Paulista (Unesp)Universidade Estadual de Campinas (UNICAMP)Prado, A. J. [UNESP]Pissolato Filho, J.Kurokawa, S. [UNESP]Bovolato, L. F. [UNESP]2014-05-27T11:21:39Z2014-05-27T11:21:39Z2005-10-31info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject111-118http://dx.doi.org/10.1109/PES.2005.14894502005 IEEE Power Engineering Society General Meeting, v. 1, p. 111-118.http://hdl.handle.net/11449/6845710.1109/PES.2005.14894502-s2.0-271445221294830845230549223905011498606590378706478550058200000-0001-5716-6827Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPeng2005 IEEE Power Engineering Society General Meetinginfo:eu-repo/semantics/openAccess2024-07-04T19:11:50Zoai:repositorio.unesp.br:11449/68457Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:33:14.897029Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Eigenvalue analyses of two parallel lines using a single real transformation matrix
title Eigenvalue analyses of two parallel lines using a single real transformation matrix
spellingShingle Eigenvalue analyses of two parallel lines using a single real transformation matrix
Prado, A. J. [UNESP]
Clarke matrix
Eigenvalue
Eigenvector
Frequency
Mode domain
Transformation matrix
Transmission lines
Parallel lines
Eigenvalues and eigenfunctions
Electric connectors
Mathematical transformations
Matrix algebra
Electric lines
title_short Eigenvalue analyses of two parallel lines using a single real transformation matrix
title_full Eigenvalue analyses of two parallel lines using a single real transformation matrix
title_fullStr Eigenvalue analyses of two parallel lines using a single real transformation matrix
title_full_unstemmed Eigenvalue analyses of two parallel lines using a single real transformation matrix
title_sort Eigenvalue analyses of two parallel lines using a single real transformation matrix
author Prado, A. J. [UNESP]
author_facet Prado, A. J. [UNESP]
Pissolato Filho, J.
Kurokawa, S. [UNESP]
Bovolato, L. F. [UNESP]
author_role author
author2 Pissolato Filho, J.
Kurokawa, S. [UNESP]
Bovolato, L. F. [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv IEEE
Universidade Estadual Paulista (Unesp)
Universidade Estadual de Campinas (UNICAMP)
dc.contributor.author.fl_str_mv Prado, A. J. [UNESP]
Pissolato Filho, J.
Kurokawa, S. [UNESP]
Bovolato, L. F. [UNESP]
dc.subject.por.fl_str_mv Clarke matrix
Eigenvalue
Eigenvector
Frequency
Mode domain
Transformation matrix
Transmission lines
Parallel lines
Eigenvalues and eigenfunctions
Electric connectors
Mathematical transformations
Matrix algebra
Electric lines
topic Clarke matrix
Eigenvalue
Eigenvector
Frequency
Mode domain
Transformation matrix
Transmission lines
Parallel lines
Eigenvalues and eigenfunctions
Electric connectors
Mathematical transformations
Matrix algebra
Electric lines
description For a typical non-symmetrical system with two parallel three phase transmission lines, modal transformation is applied using some examples of single real transformation matrices. These examples are applied searching an adequate single real transformation matrix to two parallel three phase transmission line systems. The analyses are started with the eigenvector and eigenvalue studies, using Clarke's transformation or linear combinations of Clarke's elements. The Z C and parameters are analyzed for the case that presents the smallest errors between the exact eigenvalues and the single real transformation matrix application results. The single real transformation determined for this case is based on Clarke's matrix and its main characteristic is the use of a unique homopolar reference. So, the homopolar mode becomes a connector mode between the two three-phase circuits of the analyzed system. ©2005 IEEE.
publishDate 2005
dc.date.none.fl_str_mv 2005-10-31
2014-05-27T11:21:39Z
2014-05-27T11:21:39Z
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.2005.1489450
2005 IEEE Power Engineering Society General Meeting, v. 1, p. 111-118.
http://hdl.handle.net/11449/68457
10.1109/PES.2005.1489450
2-s2.0-27144522129
4830845230549223
9050114986065903
7870647855005820
0000-0001-5716-6827
url http://dx.doi.org/10.1109/PES.2005.1489450
http://hdl.handle.net/11449/68457
identifier_str_mv 2005 IEEE Power Engineering Society General Meeting, v. 1, p. 111-118.
10.1109/PES.2005.1489450
2-s2.0-27144522129
4830845230549223
9050114986065903
7870647855005820
0000-0001-5716-6827
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2005 IEEE Power Engineering Society General Meeting
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 111-118
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
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