Inclusion of the frequency effect in the lumped parameters transmission line model: State space formulation
Autor(a) principal: | |
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Data de Publicação: | 2009 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.epsr.2009.02.007 http://hdl.handle.net/11449/219502 |
Resumo: | The objective of this paper is to include the frequency dependence of the longitudinal parameters in the lumped parameters line model. The distributed nature of the transmission line was approximated by a cascade of π circuits and the frequency effect was approximated by a rational function which was synthesized by an equivalent circuit. Then, the equivalent circuit was inserted in each π circuit of the cascade. After that, the currents and voltages along the line were described in the form of state equations. This way, it was possible to obtain a formation rule of the state matrices lumped parameters model taking into account the frequency dependence. To confirm the validation of the state matrices obtained, the lumped parameters representation of frequency-dependent lines was used to represent a single-phase line and a three-phase line. The simulations were carried out using state space techniques and an electromagnetic transient program (EMTP) (in this case, the cascade was inserted in the EMTP). It is observed that the simulation results obtained with state space representation are in agreement with those results obtained with EMTP. © 2009 Elsevier B.V. All rights reserved. |
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Repositório Institucional da UNESP |
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Inclusion of the frequency effect in the lumped parameters transmission line model: State space formulationElectromagnetic transientsFrequency dependenceState space methodsTime domainTransmission lineTransmission line parametersThe objective of this paper is to include the frequency dependence of the longitudinal parameters in the lumped parameters line model. The distributed nature of the transmission line was approximated by a cascade of π circuits and the frequency effect was approximated by a rational function which was synthesized by an equivalent circuit. Then, the equivalent circuit was inserted in each π circuit of the cascade. After that, the currents and voltages along the line were described in the form of state equations. This way, it was possible to obtain a formation rule of the state matrices lumped parameters model taking into account the frequency dependence. To confirm the validation of the state matrices obtained, the lumped parameters representation of frequency-dependent lines was used to represent a single-phase line and a three-phase line. The simulations were carried out using state space techniques and an electromagnetic transient program (EMTP) (in this case, the cascade was inserted in the EMTP). It is observed that the simulation results obtained with state space representation are in agreement with those results obtained with EMTP. © 2009 Elsevier B.V. All rights reserved.Faculdade de Engenharia de Ilha Solteira, Ave. Brasil Centro 56, Caixa Postal 31, Ilha Solteira, SP CEP 15385-000Universidade Estadual de Campinas, Caixa Postal 6101, CEP 13081-970 Campinas, SPFaculdade de Engenharia de Ilha SolteiraUniversidade Estadual de Campinas (UNICAMP)Kurokawa, SérgioYamanaka, Fábio N.R.Prado, Afonso J.Pissolato, José2022-04-28T18:56:02Z2022-04-28T18:56:02Z2009-07-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1155-1163http://dx.doi.org/10.1016/j.epsr.2009.02.007Electric Power Systems Research, v. 79, n. 7, p. 1155-1163, 2009.0378-7796http://hdl.handle.net/11449/21950210.1016/j.epsr.2009.02.0072-s2.0-63549085563Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengElectric Power Systems Researchinfo:eu-repo/semantics/openAccess2022-04-28T18:56:02Zoai:repositorio.unesp.br:11449/219502Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:53:15.333796Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Inclusion of the frequency effect in the lumped parameters transmission line model: State space formulation |
title |
Inclusion of the frequency effect in the lumped parameters transmission line model: State space formulation |
spellingShingle |
Inclusion of the frequency effect in the lumped parameters transmission line model: State space formulation Kurokawa, Sérgio Electromagnetic transients Frequency dependence State space methods Time domain Transmission line Transmission line parameters |
title_short |
Inclusion of the frequency effect in the lumped parameters transmission line model: State space formulation |
title_full |
Inclusion of the frequency effect in the lumped parameters transmission line model: State space formulation |
title_fullStr |
Inclusion of the frequency effect in the lumped parameters transmission line model: State space formulation |
title_full_unstemmed |
Inclusion of the frequency effect in the lumped parameters transmission line model: State space formulation |
title_sort |
Inclusion of the frequency effect in the lumped parameters transmission line model: State space formulation |
author |
Kurokawa, Sérgio |
author_facet |
Kurokawa, Sérgio Yamanaka, Fábio N.R. Prado, Afonso J. Pissolato, José |
author_role |
author |
author2 |
Yamanaka, Fábio N.R. Prado, Afonso J. Pissolato, José |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Faculdade de Engenharia de Ilha Solteira Universidade Estadual de Campinas (UNICAMP) |
dc.contributor.author.fl_str_mv |
Kurokawa, Sérgio Yamanaka, Fábio N.R. Prado, Afonso J. Pissolato, José |
dc.subject.por.fl_str_mv |
Electromagnetic transients Frequency dependence State space methods Time domain Transmission line Transmission line parameters |
topic |
Electromagnetic transients Frequency dependence State space methods Time domain Transmission line Transmission line parameters |
description |
The objective of this paper is to include the frequency dependence of the longitudinal parameters in the lumped parameters line model. The distributed nature of the transmission line was approximated by a cascade of π circuits and the frequency effect was approximated by a rational function which was synthesized by an equivalent circuit. Then, the equivalent circuit was inserted in each π circuit of the cascade. After that, the currents and voltages along the line were described in the form of state equations. This way, it was possible to obtain a formation rule of the state matrices lumped parameters model taking into account the frequency dependence. To confirm the validation of the state matrices obtained, the lumped parameters representation of frequency-dependent lines was used to represent a single-phase line and a three-phase line. The simulations were carried out using state space techniques and an electromagnetic transient program (EMTP) (in this case, the cascade was inserted in the EMTP). It is observed that the simulation results obtained with state space representation are in agreement with those results obtained with EMTP. © 2009 Elsevier B.V. All rights reserved. |
publishDate |
2009 |
dc.date.none.fl_str_mv |
2009-07-01 2022-04-28T18:56:02Z 2022-04-28T18:56:02Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1016/j.epsr.2009.02.007 Electric Power Systems Research, v. 79, n. 7, p. 1155-1163, 2009. 0378-7796 http://hdl.handle.net/11449/219502 10.1016/j.epsr.2009.02.007 2-s2.0-63549085563 |
url |
http://dx.doi.org/10.1016/j.epsr.2009.02.007 http://hdl.handle.net/11449/219502 |
identifier_str_mv |
Electric Power Systems Research, v. 79, n. 7, p. 1155-1163, 2009. 0378-7796 10.1016/j.epsr.2009.02.007 2-s2.0-63549085563 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Electric Power Systems Research |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
1155-1163 |
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_ |
1808129260900057088 |