Clarke's Matrix Correction Procedure for Non Transposed Three-phase Transmission Lines

Detalhes bibliográficos
Autor(a) principal: Prado, A. J.
Data de Publicação: 2008
Outros Autores: Pissolato Filho, J., Kurokawa, S. [UNESP], Bovolato, L. F. [UNESP], IEEE
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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spelling 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

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