Eigenvalue analyses of two parallel lines using a single real transformation matrix
Autor(a) principal: | |
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Data de Publicação: | 2005 |
Outros Autores: | , , |
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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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 |
|
_version_ |
1808129334837248000 |