Clarke's Matrix Correction Procedure for Non Transposed Three-phase Transmission Lines
Autor(a) principal: | |
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Data de Publicação: | 2008 |
Outros Autores: | , , , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://hdl.handle.net/11449/197388 |
Resumo: | Clarke's matrix has been applied as a phase-mode transformation matrix to three-phase transmission fines substituting the eigenvector matrices. Considering symmetrical untransposed three-phase lines and the frequency range into 10 kHz, some transient simulations have been made with the application of this single real matrix. An actual symmetrical three-phase line on untransposed conditions is associated with Clarke's matrix for error and frequency scan analyses in this paper. Error analyses are calculated for the eigenvalue diagonal elements obtained from Clarke's matrix. The eigenvalue off-diagonal elements from the Clarke's matrix application are compared to the correspondent exact eigenvalues. Based on the characteristic impedance and propagation function values, the frequency scan analyses show that there are great differences between the Clarke's matrix results and the exact ones, considering frequency values from 10 kHz. A correction procedure is applied obtaining two new transformation matrices. These matrices lead to good approximated results when compared to the exact ones. Based on the frequency scan analyses and neglecting the imaginary part of these transformation matrices, similar results to those from new transformation matrices can be obtained. With the correction procedure applied to Clarke's matrix, the relative values of the eigenvalue matrix off-diagonal element obtained from Clarke's matrix are decreased while the frequency scan results are improved. |
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Clarke's Matrix Correction Procedure for Non Transposed Three-phase Transmission LinesClarke's matrixeigenvectoreigenvaluephase-mode transformationerror analysisnon-symmetrical linesfrequency dependent parametersClarke's matrix has been applied as a phase-mode transformation matrix to three-phase transmission fines substituting the eigenvector matrices. Considering symmetrical untransposed three-phase lines and the frequency range into 10 kHz, some transient simulations have been made with the application of this single real matrix. An actual symmetrical three-phase line on untransposed conditions is associated with Clarke's matrix for error and frequency scan analyses in this paper. Error analyses are calculated for the eigenvalue diagonal elements obtained from Clarke's matrix. The eigenvalue off-diagonal elements from the Clarke's matrix application are compared to the correspondent exact eigenvalues. Based on the characteristic impedance and propagation function values, the frequency scan analyses show that there are great differences between the Clarke's matrix results and the exact ones, considering frequency values from 10 kHz. A correction procedure is applied obtaining two new transformation matrices. These matrices lead to good approximated results when compared to the exact ones. Based on the frequency scan analyses and neglecting the imaginary part of these transformation matrices, similar results to those from new transformation matrices can be obtained. With the correction procedure applied to Clarke's matrix, the relative values of the eigenvalue matrix off-diagonal element obtained from Clarke's matrix are decreased while the frequency scan results are improved.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Univ Estadual Londrina, Dept Elect Engn, UEL, DEEL,CTU, Londrina, Parana, BrazilUniv Estadual Paulista, Dept Elect Engn, Sao Paulo, BrazilUniv Estadual Campinas, DSCE, Dept Elect Engn, Campinas, BrazilUniv Estadual Paulista, Dept Elect Engn, Sao Paulo, BrazilIeeeUniversidade Estadual de Londrina (UEL)Universidade Estadual Paulista (Unesp)Universidade Estadual de Campinas (UNICAMP)Prado, A. J.Pissolato Filho, J.Kurokawa, S. [UNESP]Bovolato, L. F. [UNESP]IEEE2020-12-10T22:01:48Z2020-12-10T22:01:48Z2008-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject5592-+2008 Ieee Power & Energy Society General Meeting, Vols 1-11. New York: Ieee, p. 5592-+, 2008.1944-9925http://hdl.handle.net/11449/197388WOS:000264403803175Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPeng2008 Ieee Power & Energy Society General Meeting, Vols 1-11info:eu-repo/semantics/openAccess2024-07-04T19:11:33Zoai:repositorio.unesp.br:11449/197388Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:26:41.204149Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Clarke's Matrix Correction Procedure for Non Transposed Three-phase Transmission Lines |
title |
Clarke's Matrix Correction Procedure for Non Transposed Three-phase Transmission Lines |
spellingShingle |
Clarke's Matrix Correction Procedure for Non Transposed Three-phase Transmission Lines Prado, A. J. Clarke's matrix eigenvector eigenvalue phase-mode transformation error analysis non-symmetrical lines frequency dependent parameters |
title_short |
Clarke's Matrix Correction Procedure for Non Transposed Three-phase Transmission Lines |
title_full |
Clarke's Matrix Correction Procedure for Non Transposed Three-phase Transmission Lines |
title_fullStr |
Clarke's Matrix Correction Procedure for Non Transposed Three-phase Transmission Lines |
title_full_unstemmed |
Clarke's Matrix Correction Procedure for Non Transposed Three-phase Transmission Lines |
title_sort |
Clarke's Matrix Correction Procedure for Non Transposed Three-phase Transmission Lines |
author |
Prado, A. J. |
author_facet |
Prado, A. J. Pissolato Filho, J. Kurokawa, S. [UNESP] Bovolato, L. F. [UNESP] IEEE |
author_role |
author |
author2 |
Pissolato Filho, J. Kurokawa, S. [UNESP] Bovolato, L. F. [UNESP] IEEE |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual de Londrina (UEL) Universidade Estadual Paulista (Unesp) Universidade Estadual de Campinas (UNICAMP) |
dc.contributor.author.fl_str_mv |
Prado, A. J. Pissolato Filho, J. Kurokawa, S. [UNESP] Bovolato, L. F. [UNESP] IEEE |
dc.subject.por.fl_str_mv |
Clarke's matrix eigenvector eigenvalue phase-mode transformation error analysis non-symmetrical lines frequency dependent parameters |
topic |
Clarke's matrix eigenvector eigenvalue phase-mode transformation error analysis non-symmetrical lines frequency dependent parameters |
description |
Clarke's matrix has been applied as a phase-mode transformation matrix to three-phase transmission fines substituting the eigenvector matrices. Considering symmetrical untransposed three-phase lines and the frequency range into 10 kHz, some transient simulations have been made with the application of this single real matrix. An actual symmetrical three-phase line on untransposed conditions is associated with Clarke's matrix for error and frequency scan analyses in this paper. Error analyses are calculated for the eigenvalue diagonal elements obtained from Clarke's matrix. The eigenvalue off-diagonal elements from the Clarke's matrix application are compared to the correspondent exact eigenvalues. Based on the characteristic impedance and propagation function values, the frequency scan analyses show that there are great differences between the Clarke's matrix results and the exact ones, considering frequency values from 10 kHz. A correction procedure is applied obtaining two new transformation matrices. These matrices lead to good approximated results when compared to the exact ones. Based on the frequency scan analyses and neglecting the imaginary part of these transformation matrices, similar results to those from new transformation matrices can be obtained. With the correction procedure applied to Clarke's matrix, the relative values of the eigenvalue matrix off-diagonal element obtained from Clarke's matrix are decreased while the frequency scan results are improved. |
publishDate |
2008 |
dc.date.none.fl_str_mv |
2008-01-01 2020-12-10T22:01:48Z 2020-12-10T22:01:48Z |
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 |
2008 Ieee Power & Energy Society General Meeting, Vols 1-11. New York: Ieee, p. 5592-+, 2008. 1944-9925 http://hdl.handle.net/11449/197388 WOS:000264403803175 |
identifier_str_mv |
2008 Ieee Power & Energy Society General Meeting, Vols 1-11. New York: Ieee, p. 5592-+, 2008. 1944-9925 WOS:000264403803175 |
url |
http://hdl.handle.net/11449/197388 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2008 Ieee Power & Energy Society General Meeting, Vols 1-11 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
5592-+ |
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_ |
1808128813996965888 |