Step by step analyses of Clarke's matrix correction procedure for untransposed three-phase transmission line cases
Autor(a) principal: | |
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Data de Publicação: | 2010 |
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.2010.5589922 http://hdl.handle.net/11449/226143 |
Resumo: | The correction procedure for Clarke's matrix, considering three-phase transmission line analyzes, is analyzed step by step in this paper, searching to improve the application of this procedure. Changing the eigenvectors as modal transformation matrices, Clarke's matrix has been applied to analyses for transposed and untransposed three-phase transmission line cases. It is based on the fact that Clarke's matrix is an eigenvector matrix for transposed three-phase transmission lines considering symmetrical and asymmetrical cases. Because of this, the application of this matrix has been analyzed considering untransposed three-phase transmission lines. In most of these cases, the errors related to the eigenvalues can be considered negligible. It is not true when it is analyzed the elements that are not in main diagonal of the quasi-mode matrix. This matrix is obtained from the application of Clarke's matrix. The quasi-mode matrix is correspondent to the eigenvalue matrix. Their off-diagonal elements represent couplings among the quasi-modes. So, the off-diagonal quasi-mode element relative values are not negligible when compared to the eigenvalues that correspond to the coupled quasi-modes. Minimizing these relative values, the correction procedure is analyzed in detail, checking some alternatives for the correction procedure application. ©2010 IEEE. |
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Step by step analyses of Clarke's matrix correction procedure for untransposed three-phase transmission line casesClarke's matrixEigenvalueEigenvectorError analysisFrequency dependent parametersNon symmetrical linesPhase mode transformationThe correction procedure for Clarke's matrix, considering three-phase transmission line analyzes, is analyzed step by step in this paper, searching to improve the application of this procedure. Changing the eigenvectors as modal transformation matrices, Clarke's matrix has been applied to analyses for transposed and untransposed three-phase transmission line cases. It is based on the fact that Clarke's matrix is an eigenvector matrix for transposed three-phase transmission lines considering symmetrical and asymmetrical cases. Because of this, the application of this matrix has been analyzed considering untransposed three-phase transmission lines. In most of these cases, the errors related to the eigenvalues can be considered negligible. It is not true when it is analyzed the elements that are not in main diagonal of the quasi-mode matrix. This matrix is obtained from the application of Clarke's matrix. The quasi-mode matrix is correspondent to the eigenvalue matrix. Their off-diagonal elements represent couplings among the quasi-modes. So, the off-diagonal quasi-mode element relative values are not negligible when compared to the eigenvalues that correspond to the coupled quasi-modes. Minimizing these relative values, the correction procedure is analyzed in detail, checking some alternatives for the correction procedure application. ©2010 IEEE.Department of Electrical Engineering FEIS/UNESP - The University of São Paulo StateDepartment of Electrical Engineering DSCE/UNICAMP - The State University of CampinasDepartment of Electrical Engineering FEIS/UNESP - The University of São Paulo StateUniversidade Estadual Paulista (UNESP)Universidade Estadual de Campinas (UNICAMP)Do Prado, Afonso José [UNESP]Kurokawa, Sérgio [UNESP]Pissolato Filho, JoséBovolato, Luiz Fernando [UNESP]2022-04-28T21:37:12Z2022-04-28T21:37:12Z2010-12-06info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://dx.doi.org/10.1109/PES.2010.5589922IEEE PES General Meeting, PES 2010.http://hdl.handle.net/11449/22614310.1109/PES.2010.55899222-s2.0-78649584836Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengIEEE PES General Meeting, PES 2010info:eu-repo/semantics/openAccess2024-07-04T19:11:55Zoai:repositorio.unesp.br:11449/226143Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:43:19.468614Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Step by step analyses of Clarke's matrix correction procedure for untransposed three-phase transmission line cases |
title |
Step by step analyses of Clarke's matrix correction procedure for untransposed three-phase transmission line cases |
spellingShingle |
Step by step analyses of Clarke's matrix correction procedure for untransposed three-phase transmission line cases Do Prado, Afonso José [UNESP] Clarke's matrix Eigenvalue Eigenvector Error analysis Frequency dependent parameters Non symmetrical lines Phase mode transformation |
title_short |
Step by step analyses of Clarke's matrix correction procedure for untransposed three-phase transmission line cases |
title_full |
Step by step analyses of Clarke's matrix correction procedure for untransposed three-phase transmission line cases |
title_fullStr |
Step by step analyses of Clarke's matrix correction procedure for untransposed three-phase transmission line cases |
title_full_unstemmed |
Step by step analyses of Clarke's matrix correction procedure for untransposed three-phase transmission line cases |
title_sort |
Step by step analyses of Clarke's matrix correction procedure for untransposed three-phase transmission line cases |
author |
Do Prado, Afonso José [UNESP] |
author_facet |
Do Prado, Afonso José [UNESP] Kurokawa, Sérgio [UNESP] Pissolato Filho, José Bovolato, Luiz Fernando [UNESP] |
author_role |
author |
author2 |
Kurokawa, Sérgio [UNESP] Pissolato Filho, José Bovolato, Luiz Fernando [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Universidade Estadual de Campinas (UNICAMP) |
dc.contributor.author.fl_str_mv |
Do Prado, Afonso José [UNESP] Kurokawa, Sérgio [UNESP] Pissolato Filho, José Bovolato, Luiz Fernando [UNESP] |
dc.subject.por.fl_str_mv |
Clarke's matrix Eigenvalue Eigenvector Error analysis Frequency dependent parameters Non symmetrical lines Phase mode transformation |
topic |
Clarke's matrix Eigenvalue Eigenvector Error analysis Frequency dependent parameters Non symmetrical lines Phase mode transformation |
description |
The correction procedure for Clarke's matrix, considering three-phase transmission line analyzes, is analyzed step by step in this paper, searching to improve the application of this procedure. Changing the eigenvectors as modal transformation matrices, Clarke's matrix has been applied to analyses for transposed and untransposed three-phase transmission line cases. It is based on the fact that Clarke's matrix is an eigenvector matrix for transposed three-phase transmission lines considering symmetrical and asymmetrical cases. Because of this, the application of this matrix has been analyzed considering untransposed three-phase transmission lines. In most of these cases, the errors related to the eigenvalues can be considered negligible. It is not true when it is analyzed the elements that are not in main diagonal of the quasi-mode matrix. This matrix is obtained from the application of Clarke's matrix. The quasi-mode matrix is correspondent to the eigenvalue matrix. Their off-diagonal elements represent couplings among the quasi-modes. So, the off-diagonal quasi-mode element relative values are not negligible when compared to the eigenvalues that correspond to the coupled quasi-modes. Minimizing these relative values, the correction procedure is analyzed in detail, checking some alternatives for the correction procedure application. ©2010 IEEE. |
publishDate |
2010 |
dc.date.none.fl_str_mv |
2010-12-06 2022-04-28T21:37:12Z 2022-04-28T21:37:12Z |
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.2010.5589922 IEEE PES General Meeting, PES 2010. http://hdl.handle.net/11449/226143 10.1109/PES.2010.5589922 2-s2.0-78649584836 |
url |
http://dx.doi.org/10.1109/PES.2010.5589922 http://hdl.handle.net/11449/226143 |
identifier_str_mv |
IEEE PES General Meeting, PES 2010. 10.1109/PES.2010.5589922 2-s2.0-78649584836 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
IEEE PES General Meeting, PES 2010 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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_ |
1808129454683193344 |