Alternative method using recursive convolution for electromagnetic transient analysis in balanced overhead transmission lines
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1049/iet-smt.2018.5373 http://hdl.handle.net/11449/197919 |
Resumo: | This study proposes an alternative method to calculate the transient responses of multi-conductor overhead transmission lines based on ABCD representation, recursive convolutions and numerical method for rational approximation in the frequency-dependent curves. In the classical universal line model, the characteristic admittance matrix Y-c(omega) and propagation matrix H(omega) are represented by rational functions. In H(omega), previous and correct identification of the modal travelling times is required. However, these modal travelling times are estimated numerically, which do not offer good accuracy in some cases. This fact has a considerable effect on the rational representation of H(omega) itself and consequently on the transient responses. In the alternative method, a previous estimation of the modal travel times is unnecessary because when using the ABCD representation for each propagation mode, a direct relation exists between the currents and tensions of the receiving and sending ends. These relationships are fitted by smooth rational functions, and then, using recursive convolution methods, the authors obtain the explicit equations of the currents and voltages to calculate the transient responses. The results demonstrate that the alternative method is accurate when compared with the frequency-domain solution of the transmission line transformed to the time domain using the numeric Laplace transform and with the Bergeron method. |
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Repositório Institucional da UNESP |
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Alternative method using recursive convolution for electromagnetic transient analysis in balanced overhead transmission linesLaplace transformsfrequency-domain analysisconvolutionmatrix algebratransient responseelectric admittanceoverhead line conductorstransient analysisEMTPpower overhead linespower system transientsapproximation theoryrational representationtransient responsesmodal travel timesABCD representationsmooth rational functionsrecursive convolution methodstransmission lineBergeron methodelectromagnetic transient analysisbalanced overhead transmission linesmulticonductor overhead transmission linesnumerical methodrational approximationfrequency-dependent curvesclassical universal line modelcorrect identificationmodal travelling timescharacteristic admittance matrixnumeric Laplace transformThis study proposes an alternative method to calculate the transient responses of multi-conductor overhead transmission lines based on ABCD representation, recursive convolutions and numerical method for rational approximation in the frequency-dependent curves. In the classical universal line model, the characteristic admittance matrix Y-c(omega) and propagation matrix H(omega) are represented by rational functions. In H(omega), previous and correct identification of the modal travelling times is required. However, these modal travelling times are estimated numerically, which do not offer good accuracy in some cases. This fact has a considerable effect on the rational representation of H(omega) itself and consequently on the transient responses. In the alternative method, a previous estimation of the modal travel times is unnecessary because when using the ABCD representation for each propagation mode, a direct relation exists between the currents and tensions of the receiving and sending ends. These relationships are fitted by smooth rational functions, and then, using recursive convolution methods, the authors obtain the explicit equations of the currents and voltages to calculate the transient responses. The results demonstrate that the alternative method is accurate when compared with the frequency-domain solution of the transmission line transformed to the time domain using the numeric Laplace transform and with the Bergeron method.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Sao Paulo State Univ UNESP, Ilha Solteira, BrazilSao Paulo State Univ UNESP, Ilha Solteira, BrazilFAPESP: 2014/17051-0FAPESP: 2017/08486-0Inst Engineering Technology-ietUniversidade Estadual Paulista (Unesp)Colqui, Jamis S. L. [UNESP]Araujo, Anderson R. J. de [UNESP]Caballero, Pablo T. [UNESP]Kurokawa, Sergio [UNESP]2020-12-12T00:43:06Z2020-12-12T00:43:06Z2020-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article800-807http://dx.doi.org/10.1049/iet-smt.2018.5373Iet Science Measurement & Technology. Hertford: Inst Engineering Technology-iet, v. 14, n. 7, p. 800-807, 2020.1751-8822http://hdl.handle.net/11449/19791910.1049/iet-smt.2018.5373WOS:000566561300007Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengIet Science Measurement & Technologyinfo:eu-repo/semantics/openAccess2024-07-04T19:06:25Zoai:repositorio.unesp.br:11449/197919Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:52:49.679167Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Alternative method using recursive convolution for electromagnetic transient analysis in balanced overhead transmission lines |
title |
Alternative method using recursive convolution for electromagnetic transient analysis in balanced overhead transmission lines |
spellingShingle |
Alternative method using recursive convolution for electromagnetic transient analysis in balanced overhead transmission lines Colqui, Jamis S. L. [UNESP] Laplace transforms frequency-domain analysis convolution matrix algebra transient response electric admittance overhead line conductors transient analysis EMTP power overhead lines power system transients approximation theory rational representation transient responses modal travel times ABCD representation smooth rational functions recursive convolution methods transmission line Bergeron method electromagnetic transient analysis balanced overhead transmission lines multiconductor overhead transmission lines numerical method rational approximation frequency-dependent curves classical universal line model correct identification modal travelling times characteristic admittance matrix numeric Laplace transform |
title_short |
Alternative method using recursive convolution for electromagnetic transient analysis in balanced overhead transmission lines |
title_full |
Alternative method using recursive convolution for electromagnetic transient analysis in balanced overhead transmission lines |
title_fullStr |
Alternative method using recursive convolution for electromagnetic transient analysis in balanced overhead transmission lines |
title_full_unstemmed |
Alternative method using recursive convolution for electromagnetic transient analysis in balanced overhead transmission lines |
title_sort |
Alternative method using recursive convolution for electromagnetic transient analysis in balanced overhead transmission lines |
author |
Colqui, Jamis S. L. [UNESP] |
author_facet |
Colqui, Jamis S. L. [UNESP] Araujo, Anderson R. J. de [UNESP] Caballero, Pablo T. [UNESP] Kurokawa, Sergio [UNESP] |
author_role |
author |
author2 |
Araujo, Anderson R. J. de [UNESP] Caballero, Pablo T. [UNESP] Kurokawa, Sergio [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Colqui, Jamis S. L. [UNESP] Araujo, Anderson R. J. de [UNESP] Caballero, Pablo T. [UNESP] Kurokawa, Sergio [UNESP] |
dc.subject.por.fl_str_mv |
Laplace transforms frequency-domain analysis convolution matrix algebra transient response electric admittance overhead line conductors transient analysis EMTP power overhead lines power system transients approximation theory rational representation transient responses modal travel times ABCD representation smooth rational functions recursive convolution methods transmission line Bergeron method electromagnetic transient analysis balanced overhead transmission lines multiconductor overhead transmission lines numerical method rational approximation frequency-dependent curves classical universal line model correct identification modal travelling times characteristic admittance matrix numeric Laplace transform |
topic |
Laplace transforms frequency-domain analysis convolution matrix algebra transient response electric admittance overhead line conductors transient analysis EMTP power overhead lines power system transients approximation theory rational representation transient responses modal travel times ABCD representation smooth rational functions recursive convolution methods transmission line Bergeron method electromagnetic transient analysis balanced overhead transmission lines multiconductor overhead transmission lines numerical method rational approximation frequency-dependent curves classical universal line model correct identification modal travelling times characteristic admittance matrix numeric Laplace transform |
description |
This study proposes an alternative method to calculate the transient responses of multi-conductor overhead transmission lines based on ABCD representation, recursive convolutions and numerical method for rational approximation in the frequency-dependent curves. In the classical universal line model, the characteristic admittance matrix Y-c(omega) and propagation matrix H(omega) are represented by rational functions. In H(omega), previous and correct identification of the modal travelling times is required. However, these modal travelling times are estimated numerically, which do not offer good accuracy in some cases. This fact has a considerable effect on the rational representation of H(omega) itself and consequently on the transient responses. In the alternative method, a previous estimation of the modal travel times is unnecessary because when using the ABCD representation for each propagation mode, a direct relation exists between the currents and tensions of the receiving and sending ends. These relationships are fitted by smooth rational functions, and then, using recursive convolution methods, the authors obtain the explicit equations of the currents and voltages to calculate the transient responses. The results demonstrate that the alternative method is accurate when compared with the frequency-domain solution of the transmission line transformed to the time domain using the numeric Laplace transform and with the Bergeron method. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-12-12T00:43:06Z 2020-12-12T00:43:06Z 2020-09-01 |
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/10.1049/iet-smt.2018.5373 Iet Science Measurement & Technology. Hertford: Inst Engineering Technology-iet, v. 14, n. 7, p. 800-807, 2020. 1751-8822 http://hdl.handle.net/11449/197919 10.1049/iet-smt.2018.5373 WOS:000566561300007 |
url |
http://dx.doi.org/10.1049/iet-smt.2018.5373 http://hdl.handle.net/11449/197919 |
identifier_str_mv |
Iet Science Measurement & Technology. Hertford: Inst Engineering Technology-iet, v. 14, n. 7, p. 800-807, 2020. 1751-8822 10.1049/iet-smt.2018.5373 WOS:000566561300007 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Iet Science Measurement & Technology |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
800-807 |
dc.publisher.none.fl_str_mv |
Inst Engineering Technology-iet |
publisher.none.fl_str_mv |
Inst Engineering Technology-iet |
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_ |
1808128993787904000 |