Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectors
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/PES.2006.1709284 http://hdl.handle.net/11449/69251 |
Resumo: | The objective of this paper is to show an alternative representation in time domain of a non-transposed three-phase transmission line decomposed in its exact modes by using two transformation matrices. The first matrix is Clarke's matrix that is real, frequency independent, easily represented in computational transient programs (EMTP) and separates the line into Quasi-modes α, β and zero. After that, Quasi-modes a and zero are decomposed into their exact modes by using a modal transformation matrix whose elements can be synthesized in time domain through standard curve-fitting techniques. The main advantage of this alternative representation is to reduce the processing time because a frequency dependent modal transformation matrix of a three-phase line has nine elements to be represented in time domain while a modal transformation matrix of a two-phase line has only four elements. This paper shows modal decomposition process and eigenvectors of a non-transposed three-phase line with a vertical symmetry plane whose nominal voltage is 440 kV and line length is 500 km. ©2006 IEEE. |
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Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectorsElectromagnetic transients analysisFrequency domain analysisTime domain analysisTransmission line matrix methodsLine lengthTransformation matrixCurve fittingEigenvalues and eigenfunctionsElectric power transmissionMathematical modelsTransient analysisVoltage controlElectric linesThe objective of this paper is to show an alternative representation in time domain of a non-transposed three-phase transmission line decomposed in its exact modes by using two transformation matrices. The first matrix is Clarke's matrix that is real, frequency independent, easily represented in computational transient programs (EMTP) and separates the line into Quasi-modes α, β and zero. After that, Quasi-modes a and zero are decomposed into their exact modes by using a modal transformation matrix whose elements can be synthesized in time domain through standard curve-fitting techniques. The main advantage of this alternative representation is to reduce the processing time because a frequency dependent modal transformation matrix of a three-phase line has nine elements to be represented in time domain while a modal transformation matrix of a two-phase line has only four elements. This paper shows modal decomposition process and eigenvectors of a non-transposed three-phase line with a vertical symmetry plane whose nominal voltage is 440 kV and line length is 500 km. ©2006 IEEE.IEEEFaculdade de Engenharia de Ilha Solteira Universidade Estadual Paulista, Ilha Solteira, 15385000Universidade Estadual de CampinasFaculdade de Engenharia de Ilha Solteira Universidade Estadual Paulista, Ilha Solteira, 15385000IEEEUniversidade Estadual Paulista (Unesp)Universidade Estadual de Campinas (UNICAMP)Kurokawa, Sérgio [UNESP]Daltin, Rodrigo S. [UNESP]Prado, Afonso J. [UNESP]Pissolato, JoséBovolato, Luiz 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/PES.2006.17092842006 IEEE Power Engineering Society General Meeting, PES.http://hdl.handle.net/11449/6925110.1109/PES.2006.17092842-s2.0-35348813118483084523054922378706478550058207870647855005820Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPeng2006 IEEE Power Engineering Society General Meeting, PESinfo:eu-repo/semantics/openAccess2024-07-04T19:11:27Zoai:repositorio.unesp.br:11449/69251Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:02:45.481064Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectors |
title |
Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectors |
spellingShingle |
Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectors Kurokawa, Sérgio [UNESP] Electromagnetic transients analysis Frequency domain analysis Time domain analysis Transmission line matrix methods Line length Transformation matrix Curve fitting Eigenvalues and eigenfunctions Electric power transmission Mathematical models Transient analysis Voltage control Electric lines |
title_short |
Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectors |
title_full |
Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectors |
title_fullStr |
Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectors |
title_full_unstemmed |
Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectors |
title_sort |
Modal representation of three-phase lines applying two transformation matrices: Evaluation of its eigenvectors |
author |
Kurokawa, Sérgio [UNESP] |
author_facet |
Kurokawa, Sérgio [UNESP] Daltin, Rodrigo S. [UNESP] Prado, Afonso J. [UNESP] Pissolato, José Bovolato, Luiz F. [UNESP] |
author_role |
author |
author2 |
Daltin, Rodrigo S. [UNESP] Prado, Afonso J. [UNESP] Pissolato, José Bovolato, Luiz F. [UNESP] |
author2_role |
author 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 |
Kurokawa, Sérgio [UNESP] Daltin, Rodrigo S. [UNESP] Prado, Afonso J. [UNESP] Pissolato, José Bovolato, Luiz F. [UNESP] |
dc.subject.por.fl_str_mv |
Electromagnetic transients analysis Frequency domain analysis Time domain analysis Transmission line matrix methods Line length Transformation matrix Curve fitting Eigenvalues and eigenfunctions Electric power transmission Mathematical models Transient analysis Voltage control Electric lines |
topic |
Electromagnetic transients analysis Frequency domain analysis Time domain analysis Transmission line matrix methods Line length Transformation matrix Curve fitting Eigenvalues and eigenfunctions Electric power transmission Mathematical models Transient analysis Voltage control Electric lines |
description |
The objective of this paper is to show an alternative representation in time domain of a non-transposed three-phase transmission line decomposed in its exact modes by using two transformation matrices. The first matrix is Clarke's matrix that is real, frequency independent, easily represented in computational transient programs (EMTP) and separates the line into Quasi-modes α, β and zero. After that, Quasi-modes a and zero are decomposed into their exact modes by using a modal transformation matrix whose elements can be synthesized in time domain through standard curve-fitting techniques. The main advantage of this alternative representation is to reduce the processing time because a frequency dependent modal transformation matrix of a three-phase line has nine elements to be represented in time domain while a modal transformation matrix of a two-phase line has only four elements. This paper shows modal decomposition process and eigenvectors of a non-transposed three-phase line with a vertical symmetry plane whose nominal voltage is 440 kV and line length is 500 km. ©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/PES.2006.1709284 2006 IEEE Power Engineering Society General Meeting, PES. http://hdl.handle.net/11449/69251 10.1109/PES.2006.1709284 2-s2.0-35348813118 4830845230549223 7870647855005820 7870647855005820 |
url |
http://dx.doi.org/10.1109/PES.2006.1709284 http://hdl.handle.net/11449/69251 |
identifier_str_mv |
2006 IEEE Power Engineering Society General Meeting, PES. 10.1109/PES.2006.1709284 2-s2.0-35348813118 4830845230549223 7870647855005820 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2006 IEEE Power Engineering Society General Meeting, PES |
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_ |
1808128598334242816 |