Singularities Analysis of the Jacobian Matrix Modified in the Continuation Power Flow: Performance Evaluation
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://hdl.handle.net/11449/163406 |
Resumo: | In the literature, a study to analyze stability and voltage instability is related to the P-V curve (power versus voltage magnitude) and the maximum loading point (MLP) (point on the curve that separates the stable operation of the unstable). The maximum loading point may be consequent to a saddle node bifurcation (SNB) related to transmission capacity limit in an electrical system where the Jacobian matrix is singular, or limit induced bifurcation (LIB), related the reactive power limit of the generator, where the matrix is not singular. In this sense, it is presented in this second part of the paper the trajectory of the values of the determinants of the modified Jacobian matrices (vertical bar J(m)vertical bar) of these methods. A graphical analysis is also shown for a better understanding. The methods studied are: local parameterization (lambda ou V-k), global parameterization (total real power losses (Pa) and the quadratic equation in Pa plane in function of loading factor. The results are obtained to the two real large systems of 638 and 787 buses corresponding to part of South-Southeast Brazilian systems and of a 904-bus Southwestern American system. |
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Repositório Institucional da UNESP |
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Singularities Analysis of the Jacobian Matrix Modified in the Continuation Power Flow: Performance EvaluationVoltage stabilityMaximum loading pointBifurcationContinuation power flowContinuation methodIn the literature, a study to analyze stability and voltage instability is related to the P-V curve (power versus voltage magnitude) and the maximum loading point (MLP) (point on the curve that separates the stable operation of the unstable). The maximum loading point may be consequent to a saddle node bifurcation (SNB) related to transmission capacity limit in an electrical system where the Jacobian matrix is singular, or limit induced bifurcation (LIB), related the reactive power limit of the generator, where the matrix is not singular. In this sense, it is presented in this second part of the paper the trajectory of the values of the determinants of the modified Jacobian matrices (vertical bar J(m)vertical bar) of these methods. A graphical analysis is also shown for a better understanding. The methods studied are: local parameterization (lambda ou V-k), global parameterization (total real power losses (Pa) and the quadratic equation in Pa plane in function of loading factor. The results are obtained to the two real large systems of 638 and 787 buses corresponding to part of South-Southeast Brazilian systems and of a 904-bus Southwestern American system.UNESP, FCE, Rua Domingos Costa Lopes 780, BR-17602496 Itaipu, Tupa, BrazilUNESP, Fac Engn Ilha Solteira, Dept Engn Eletr, Av Brasil 56, BR-15385000 Ilha Solteira, BrazilUNESP, FCE, Rua Domingos Costa Lopes 780, BR-17602496 Itaipu, Tupa, BrazilUNESP, Fac Engn Ilha Solteira, Dept Engn Eletr, Av Brasil 56, BR-15385000 Ilha Solteira, BrazilIeee-inst Electrical Electronics Engineers IncUniversidade Estadual Paulista (Unesp)Bonini Neto, A. [UNESP]Alves, D. A. [UNESP]2018-11-26T17:41:53Z2018-11-26T17:41:53Z2017-11-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article2137-2143application/pdfIeee Latin America Transactions. Piscataway: Ieee-inst Electrical Electronics Engineers Inc, v. 15, n. 11, p. 2137-2143, 2017.1548-0992http://hdl.handle.net/11449/163406WOS:000413336700017WOS000413336700017.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengIeee Latin America Transactions0,253info:eu-repo/semantics/openAccess2024-07-04T19:06:25Zoai:repositorio.unesp.br:11449/163406Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:47:56.783007Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Singularities Analysis of the Jacobian Matrix Modified in the Continuation Power Flow: Performance Evaluation |
title |
Singularities Analysis of the Jacobian Matrix Modified in the Continuation Power Flow: Performance Evaluation |
spellingShingle |
Singularities Analysis of the Jacobian Matrix Modified in the Continuation Power Flow: Performance Evaluation Bonini Neto, A. [UNESP] Voltage stability Maximum loading point Bifurcation Continuation power flow Continuation method |
title_short |
Singularities Analysis of the Jacobian Matrix Modified in the Continuation Power Flow: Performance Evaluation |
title_full |
Singularities Analysis of the Jacobian Matrix Modified in the Continuation Power Flow: Performance Evaluation |
title_fullStr |
Singularities Analysis of the Jacobian Matrix Modified in the Continuation Power Flow: Performance Evaluation |
title_full_unstemmed |
Singularities Analysis of the Jacobian Matrix Modified in the Continuation Power Flow: Performance Evaluation |
title_sort |
Singularities Analysis of the Jacobian Matrix Modified in the Continuation Power Flow: Performance Evaluation |
author |
Bonini Neto, A. [UNESP] |
author_facet |
Bonini Neto, A. [UNESP] Alves, D. A. [UNESP] |
author_role |
author |
author2 |
Alves, D. A. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Bonini Neto, A. [UNESP] Alves, D. A. [UNESP] |
dc.subject.por.fl_str_mv |
Voltage stability Maximum loading point Bifurcation Continuation power flow Continuation method |
topic |
Voltage stability Maximum loading point Bifurcation Continuation power flow Continuation method |
description |
In the literature, a study to analyze stability and voltage instability is related to the P-V curve (power versus voltage magnitude) and the maximum loading point (MLP) (point on the curve that separates the stable operation of the unstable). The maximum loading point may be consequent to a saddle node bifurcation (SNB) related to transmission capacity limit in an electrical system where the Jacobian matrix is singular, or limit induced bifurcation (LIB), related the reactive power limit of the generator, where the matrix is not singular. In this sense, it is presented in this second part of the paper the trajectory of the values of the determinants of the modified Jacobian matrices (vertical bar J(m)vertical bar) of these methods. A graphical analysis is also shown for a better understanding. The methods studied are: local parameterization (lambda ou V-k), global parameterization (total real power losses (Pa) and the quadratic equation in Pa plane in function of loading factor. The results are obtained to the two real large systems of 638 and 787 buses corresponding to part of South-Southeast Brazilian systems and of a 904-bus Southwestern American system. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-11-01 2018-11-26T17:41:53Z 2018-11-26T17:41:53Z |
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 |
Ieee Latin America Transactions. Piscataway: Ieee-inst Electrical Electronics Engineers Inc, v. 15, n. 11, p. 2137-2143, 2017. 1548-0992 http://hdl.handle.net/11449/163406 WOS:000413336700017 WOS000413336700017.pdf |
identifier_str_mv |
Ieee Latin America Transactions. Piscataway: Ieee-inst Electrical Electronics Engineers Inc, v. 15, n. 11, p. 2137-2143, 2017. 1548-0992 WOS:000413336700017 WOS000413336700017.pdf |
url |
http://hdl.handle.net/11449/163406 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Ieee Latin America Transactions 0,253 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
2137-2143 application/pdf |
dc.publisher.none.fl_str_mv |
Ieee-inst Electrical Electronics Engineers Inc |
publisher.none.fl_str_mv |
Ieee-inst Electrical Electronics Engineers Inc |
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_ |
1808128980698529792 |