Correction procedure applied to a single real transformation matrix -Untransposed three-phase transmission line cases
Autor(a) principal: | |
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Data de Publicação: | 2006 |
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/TDCLA.2006.311396 http://hdl.handle.net/11449/69259 |
Resumo: | Clarke's matrix has been used as an eigenvector matrix for transposed three-phase transmission lines and it can be applied as a phase-mode transformation matrix for transposed cases. Considering untransposed three-phase transmission lines, Clarke's matrix is not an exact eigenvector matrix. In this case, the errors related to the diagonal elements of the Z and Y matrices can be considered negligible, if these diagonal elements are compared to the exact elements in domain mode. The mentioned comparisons are performed based on the error and frequency scan analyses. From these analyses and considering untransposed asymmetrical three-phase transmission lines, a correction procedure is determined searching for better results from the Clarke's matrix use as a phase-mode transformation matrix. Using the 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. Applying the corrected transformation matrices, the relative values of the off-diagonal elements are decreased. The comparisons among the results of these analyses show that the homopolar mode is more sensitive to the frequency influence than the two other modes related to three-phase lines. © 2006 IEEE. |
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Correction procedure applied to a single real transformation matrix -Untransposed three-phase transmission line casesClarke's matrixeigenvalueeigenvectorfrequencymode domaintransformation matrixtransmission linesEigen-valueMode domainTransformation matricesTransmission lineEigenvalues and eigenfunctionsElectric linesErrorsTransmission line theoryLinear transformationsClarke's matrix has been used as an eigenvector matrix for transposed three-phase transmission lines and it can be applied as a phase-mode transformation matrix for transposed cases. Considering untransposed three-phase transmission lines, Clarke's matrix is not an exact eigenvector matrix. In this case, the errors related to the diagonal elements of the Z and Y matrices can be considered negligible, if these diagonal elements are compared to the exact elements in domain mode. The mentioned comparisons are performed based on the error and frequency scan analyses. From these analyses and considering untransposed asymmetrical three-phase transmission lines, a correction procedure is determined searching for better results from the Clarke's matrix use as a phase-mode transformation matrix. Using the 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. Applying the corrected transformation matrices, the relative values of the off-diagonal elements are decreased. The comparisons among the results of these analyses show that the homopolar mode is more sensitive to the frequency influence than the two other modes related to three-phase lines. © 2006 IEEE.Electrical Engineering Department DEE/FEIS/UNESP Paulista State UniversityElectrical Engineering Department DSCE/FEEC/UNICAMP Campinas University StateElectrical Engineering Department DEE/FEIS/UNESP Paulista State UniversityUniversidade Estadual Paulista (Unesp)Universidade Estadual de Campinas (UNICAMP)Prado, A. J. [UNESP]Filho, J.PissolatoKurokawa, S. [UNESP]Bovolato, L. F. [UNESP]2014-05-27T11:22:03Z2014-05-27T11:22:03Z2006-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://dx.doi.org/10.1109/TDCLA.2006.3113962006 IEEE/pes Transmission & Distribution Conference & Exposition: Latin America, Vols 1-3. New York: IEEE, p. 928-933, 2006.http://hdl.handle.net/11449/6925910.1109/TDCLA.2006.311396WOS:0002462448001702-s2.0-829552064544830845230549223905011498606590378706478550058200000-0001-5716-6827Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPeng2006 IEEE PES Transmission and Distribution Conference and Exposition: Latin America, TDC'06info:eu-repo/semantics/openAccess2024-07-04T19:11:32Zoai:repositorio.unesp.br:11449/69259Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:40:04.998193Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Correction procedure applied to a single real transformation matrix -Untransposed three-phase transmission line cases |
title |
Correction procedure applied to a single real transformation matrix -Untransposed three-phase transmission line cases |
spellingShingle |
Correction procedure applied to a single real transformation matrix -Untransposed three-phase transmission line cases Prado, A. J. [UNESP] Clarke's matrix eigenvalue eigenvector frequency mode domain transformation matrix transmission lines Eigen-value Mode domain Transformation matrices Transmission line Eigenvalues and eigenfunctions Electric lines Errors Transmission line theory Linear transformations |
title_short |
Correction procedure applied to a single real transformation matrix -Untransposed three-phase transmission line cases |
title_full |
Correction procedure applied to a single real transformation matrix -Untransposed three-phase transmission line cases |
title_fullStr |
Correction procedure applied to a single real transformation matrix -Untransposed three-phase transmission line cases |
title_full_unstemmed |
Correction procedure applied to a single real transformation matrix -Untransposed three-phase transmission line cases |
title_sort |
Correction procedure applied to a single real transformation matrix -Untransposed three-phase transmission line cases |
author |
Prado, A. J. [UNESP] |
author_facet |
Prado, A. J. [UNESP] Filho, J.Pissolato Kurokawa, S. [UNESP] Bovolato, L. F. [UNESP] |
author_role |
author |
author2 |
Filho, J.Pissolato Kurokawa, S. [UNESP] Bovolato, L. F. [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 |
Prado, A. J. [UNESP] Filho, J.Pissolato Kurokawa, S. [UNESP] Bovolato, L. F. [UNESP] |
dc.subject.por.fl_str_mv |
Clarke's matrix eigenvalue eigenvector frequency mode domain transformation matrix transmission lines Eigen-value Mode domain Transformation matrices Transmission line Eigenvalues and eigenfunctions Electric lines Errors Transmission line theory Linear transformations |
topic |
Clarke's matrix eigenvalue eigenvector frequency mode domain transformation matrix transmission lines Eigen-value Mode domain Transformation matrices Transmission line Eigenvalues and eigenfunctions Electric lines Errors Transmission line theory Linear transformations |
description |
Clarke's matrix has been used as an eigenvector matrix for transposed three-phase transmission lines and it can be applied as a phase-mode transformation matrix for transposed cases. Considering untransposed three-phase transmission lines, Clarke's matrix is not an exact eigenvector matrix. In this case, the errors related to the diagonal elements of the Z and Y matrices can be considered negligible, if these diagonal elements are compared to the exact elements in domain mode. The mentioned comparisons are performed based on the error and frequency scan analyses. From these analyses and considering untransposed asymmetrical three-phase transmission lines, a correction procedure is determined searching for better results from the Clarke's matrix use as a phase-mode transformation matrix. Using the 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. Applying the corrected transformation matrices, the relative values of the off-diagonal elements are decreased. The comparisons among the results of these analyses show that the homopolar mode is more sensitive to the frequency influence than the two other modes related to three-phase lines. © 2006 IEEE. |
publishDate |
2006 |
dc.date.none.fl_str_mv |
2006-12-01 2014-05-27T11:22:03Z 2014-05-27T11:22:03Z |
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/TDCLA.2006.311396 2006 IEEE/pes Transmission & Distribution Conference & Exposition: Latin America, Vols 1-3. New York: IEEE, p. 928-933, 2006. http://hdl.handle.net/11449/69259 10.1109/TDCLA.2006.311396 WOS:000246244800170 2-s2.0-82955206454 4830845230549223 9050114986065903 7870647855005820 0000-0001-5716-6827 |
url |
http://dx.doi.org/10.1109/TDCLA.2006.311396 http://hdl.handle.net/11449/69259 |
identifier_str_mv |
2006 IEEE/pes Transmission & Distribution Conference & Exposition: Latin America, Vols 1-3. New York: IEEE, p. 928-933, 2006. 10.1109/TDCLA.2006.311396 WOS:000246244800170 2-s2.0-82955206454 4830845230549223 9050114986065903 7870647855005820 0000-0001-5716-6827 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2006 IEEE PES Transmission and Distribution Conference and Exposition: Latin America, TDC'06 |
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_ |
1808128685320962048 |