Sparse matrices for transient simulations with computing memory reduction
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/10.1016/j.epsr.2020.106266 http://hdl.handle.net/11449/198560 |
Resumo: | Modified numerical integration methods and modelling have been analysed for application to simulations of electromagnetic transient phenomena in transmission lines. Both objectives are considered: minimize numerical errors caused by Gibbs’ oscillations and decrease the computational memory necessary for the mentioned simulations. For this, transmission lines have represented by cascades of π circuits. Based on this representation, modifications in numerical integration methods applied to the mentioned simulations can be introduced easily and the comparisons can be carried out quickly. In case of minimization of numerical errors, two approaches have checked. One of these options is related to the way how the numerical integration method is applied. The numerical integration has applied using 2-order matrices. These matrices are related to each π circuit applied to represent transmission lines. The other option is related to the damping resistance application. It has made by introducing damping resistances in the longitudinal structure of the π circuits. Sparse matrices have applied for decreasing the computational memory used during the simulations, because this matrix has a great quantity of null elements when the cascade of π circuits are represented by only one matrix with great order. Comparisons have carried out considering the non-modified numerical methods and the three modified methods suggested in this paper. |
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Repositório Institucional da UNESP |
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Sparse matrices for transient simulations with computing memory reductionEigenvalues and eigenfuctionsLinear systemsNumerical analysisOptimizationPower system transientsState space methodsTime-domain simulationTransmission lineModified numerical integration methods and modelling have been analysed for application to simulations of electromagnetic transient phenomena in transmission lines. Both objectives are considered: minimize numerical errors caused by Gibbs’ oscillations and decrease the computational memory necessary for the mentioned simulations. For this, transmission lines have represented by cascades of π circuits. Based on this representation, modifications in numerical integration methods applied to the mentioned simulations can be introduced easily and the comparisons can be carried out quickly. In case of minimization of numerical errors, two approaches have checked. One of these options is related to the way how the numerical integration method is applied. The numerical integration has applied using 2-order matrices. These matrices are related to each π circuit applied to represent transmission lines. The other option is related to the damping resistance application. It has made by introducing damping resistances in the longitudinal structure of the π circuits. Sparse matrices have applied for decreasing the computational memory used during the simulations, because this matrix has a great quantity of null elements when the cascade of π circuits are represented by only one matrix with great order. Comparisons have carried out considering the non-modified numerical methods and the three modified methods suggested in this paper.Electronic and Telecommunication Engineering São Paulo State University (UNESP) Campus of São João da Boa Vista, São João da Boa VistaElectronic and Telecommunication Engineering São Paulo State University (UNESP) Campus of São João da Boa Vista, São João da Boa VistaUniversidade Estadual Paulista (Unesp)Lessa, Leonardo da Silva [UNESP]de Luca, Caio Cesar Souza [UNESP]Pereira, Thainá Guimarães [UNESP]Grilo, Caio Vinícius Colozzo [UNESP]Moreira, Aghatta Cioquetta [UNESP]Ronchini, Carolina Magda Bassoto [UNESP]Gennaro, Elmer Mateus [UNESP]Der Agopian, Paula Ghedini [UNESP]José do Prado, Afonso [UNESP]2020-12-12T01:16:12Z2020-12-12T01:16:12Z2020-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.epsr.2020.106266Electric Power Systems Research, v. 183.0378-7796http://hdl.handle.net/11449/19856010.1016/j.epsr.2020.1062662-s2.0-85079888242Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengElectric Power Systems Researchinfo:eu-repo/semantics/openAccess2021-10-22T16:54:02Zoai:repositorio.unesp.br:11449/198560Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-22T16:54:02Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Sparse matrices for transient simulations with computing memory reduction |
title |
Sparse matrices for transient simulations with computing memory reduction |
spellingShingle |
Sparse matrices for transient simulations with computing memory reduction Lessa, Leonardo da Silva [UNESP] Eigenvalues and eigenfuctions Linear systems Numerical analysis Optimization Power system transients State space methods Time-domain simulation Transmission line |
title_short |
Sparse matrices for transient simulations with computing memory reduction |
title_full |
Sparse matrices for transient simulations with computing memory reduction |
title_fullStr |
Sparse matrices for transient simulations with computing memory reduction |
title_full_unstemmed |
Sparse matrices for transient simulations with computing memory reduction |
title_sort |
Sparse matrices for transient simulations with computing memory reduction |
author |
Lessa, Leonardo da Silva [UNESP] |
author_facet |
Lessa, Leonardo da Silva [UNESP] de Luca, Caio Cesar Souza [UNESP] Pereira, Thainá Guimarães [UNESP] Grilo, Caio Vinícius Colozzo [UNESP] Moreira, Aghatta Cioquetta [UNESP] Ronchini, Carolina Magda Bassoto [UNESP] Gennaro, Elmer Mateus [UNESP] Der Agopian, Paula Ghedini [UNESP] José do Prado, Afonso [UNESP] |
author_role |
author |
author2 |
de Luca, Caio Cesar Souza [UNESP] Pereira, Thainá Guimarães [UNESP] Grilo, Caio Vinícius Colozzo [UNESP] Moreira, Aghatta Cioquetta [UNESP] Ronchini, Carolina Magda Bassoto [UNESP] Gennaro, Elmer Mateus [UNESP] Der Agopian, Paula Ghedini [UNESP] José do Prado, Afonso [UNESP] |
author2_role |
author author author author author author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Lessa, Leonardo da Silva [UNESP] de Luca, Caio Cesar Souza [UNESP] Pereira, Thainá Guimarães [UNESP] Grilo, Caio Vinícius Colozzo [UNESP] Moreira, Aghatta Cioquetta [UNESP] Ronchini, Carolina Magda Bassoto [UNESP] Gennaro, Elmer Mateus [UNESP] Der Agopian, Paula Ghedini [UNESP] José do Prado, Afonso [UNESP] |
dc.subject.por.fl_str_mv |
Eigenvalues and eigenfuctions Linear systems Numerical analysis Optimization Power system transients State space methods Time-domain simulation Transmission line |
topic |
Eigenvalues and eigenfuctions Linear systems Numerical analysis Optimization Power system transients State space methods Time-domain simulation Transmission line |
description |
Modified numerical integration methods and modelling have been analysed for application to simulations of electromagnetic transient phenomena in transmission lines. Both objectives are considered: minimize numerical errors caused by Gibbs’ oscillations and decrease the computational memory necessary for the mentioned simulations. For this, transmission lines have represented by cascades of π circuits. Based on this representation, modifications in numerical integration methods applied to the mentioned simulations can be introduced easily and the comparisons can be carried out quickly. In case of minimization of numerical errors, two approaches have checked. One of these options is related to the way how the numerical integration method is applied. The numerical integration has applied using 2-order matrices. These matrices are related to each π circuit applied to represent transmission lines. The other option is related to the damping resistance application. It has made by introducing damping resistances in the longitudinal structure of the π circuits. Sparse matrices have applied for decreasing the computational memory used during the simulations, because this matrix has a great quantity of null elements when the cascade of π circuits are represented by only one matrix with great order. Comparisons have carried out considering the non-modified numerical methods and the three modified methods suggested in this paper. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-12-12T01:16:12Z 2020-12-12T01:16:12Z 2020-06-01 |
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/10.1016/j.epsr.2020.106266 Electric Power Systems Research, v. 183. 0378-7796 http://hdl.handle.net/11449/198560 10.1016/j.epsr.2020.106266 2-s2.0-85079888242 |
url |
http://dx.doi.org/10.1016/j.epsr.2020.106266 http://hdl.handle.net/11449/198560 |
identifier_str_mv |
Electric Power Systems Research, v. 183. 0378-7796 10.1016/j.epsr.2020.106266 2-s2.0-85079888242 |
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.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_ |
1803649460115341312 |