Optimal power flow via interior-exterior method
Autor(a) principal: | |
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Data de Publicação: | 2007 |
Outros Autores: | , , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://hdl.handle.net/11449/195889 |
Resumo: | This paper presents a new approach to the resolution of the Optimal Power Flow problem. In this approach the inequality constraints are treated by the Modified Barrier and Primal-Dual Logarithmic Barrier methods. The inequality constraints are transformed into equalities by introducing positive auxiliary variables, which are perturbed by the barrier parameter. A Lagrangian function is associated with the modified problem. The first-order necessary conditions are applied to the Lagrangian, generating a nonlinear system which is solved by Newton's method. The perturbation of the auxiliary variables results in an expansion of the feasible set of the original problem, allowing the limits of the inequality constraints to be reached. Numerical tests on the Brazilian CESP and South-Southeast systems and a comparative test indicated that the new approach efficiently resolves of the Optimal Power Flow problem. |
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Repositório Institucional da UNESP |
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Optimal power flow via interior-exterior methodoptimal power flowmodified barrier functionperturbation of constraintsprimal-dual methodThis paper presents a new approach to the resolution of the Optimal Power Flow problem. In this approach the inequality constraints are treated by the Modified Barrier and Primal-Dual Logarithmic Barrier methods. The inequality constraints are transformed into equalities by introducing positive auxiliary variables, which are perturbed by the barrier parameter. A Lagrangian function is associated with the modified problem. The first-order necessary conditions are applied to the Lagrangian, generating a nonlinear system which is solved by Newton's method. The perturbation of the auxiliary variables results in an expansion of the feasible set of the original problem, allowing the limits of the inequality constraints to be reached. Numerical tests on the Brazilian CESP and South-Southeast systems and a comparative test indicated that the new approach efficiently resolves of the Optimal Power Flow problem.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Univ Sao Paulo, Engn Sch Sao Carlos, Dept Elect Engn, BR-05508 Sao Paulo, BrazilSao Paulo State Univ UNESP, Dept Math, Bauru, BrazilSao Paulo State Univ UNESP, Dept Math, Bauru, BrazilIeeeUniversidade de São Paulo (USP)Universidade Estadual Paulista (Unesp)Sousa, V. A. deBaptista, E. C. [UNESP]Costa, G. R. M. . daIEEE2020-12-10T18:06:53Z2020-12-10T18:06:53Z2007-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject2255-+2007 Ieee Power Engineering Society General Meeting, Vols 1-10. New York: Ieee, p. 2255-+, 2007.1932-5517http://hdl.handle.net/11449/195889WOS:000251345402050Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPeng2007 Ieee Power Engineering Society General Meeting, Vols 1-10info:eu-repo/semantics/openAccess2024-04-29T14:59:56Zoai:repositorio.unesp.br:11449/195889Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:35:47.168312Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Optimal power flow via interior-exterior method |
title |
Optimal power flow via interior-exterior method |
spellingShingle |
Optimal power flow via interior-exterior method Sousa, V. A. de optimal power flow modified barrier function perturbation of constraints primal-dual method |
title_short |
Optimal power flow via interior-exterior method |
title_full |
Optimal power flow via interior-exterior method |
title_fullStr |
Optimal power flow via interior-exterior method |
title_full_unstemmed |
Optimal power flow via interior-exterior method |
title_sort |
Optimal power flow via interior-exterior method |
author |
Sousa, V. A. de |
author_facet |
Sousa, V. A. de Baptista, E. C. [UNESP] Costa, G. R. M. . da IEEE |
author_role |
author |
author2 |
Baptista, E. C. [UNESP] Costa, G. R. M. . da IEEE |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade de São Paulo (USP) Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Sousa, V. A. de Baptista, E. C. [UNESP] Costa, G. R. M. . da IEEE |
dc.subject.por.fl_str_mv |
optimal power flow modified barrier function perturbation of constraints primal-dual method |
topic |
optimal power flow modified barrier function perturbation of constraints primal-dual method |
description |
This paper presents a new approach to the resolution of the Optimal Power Flow problem. In this approach the inequality constraints are treated by the Modified Barrier and Primal-Dual Logarithmic Barrier methods. The inequality constraints are transformed into equalities by introducing positive auxiliary variables, which are perturbed by the barrier parameter. A Lagrangian function is associated with the modified problem. The first-order necessary conditions are applied to the Lagrangian, generating a nonlinear system which is solved by Newton's method. The perturbation of the auxiliary variables results in an expansion of the feasible set of the original problem, allowing the limits of the inequality constraints to be reached. Numerical tests on the Brazilian CESP and South-Southeast systems and a comparative test indicated that the new approach efficiently resolves of the Optimal Power Flow problem. |
publishDate |
2007 |
dc.date.none.fl_str_mv |
2007-01-01 2020-12-10T18:06:53Z 2020-12-10T18:06:53Z |
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 |
2007 Ieee Power Engineering Society General Meeting, Vols 1-10. New York: Ieee, p. 2255-+, 2007. 1932-5517 http://hdl.handle.net/11449/195889 WOS:000251345402050 |
identifier_str_mv |
2007 Ieee Power Engineering Society General Meeting, Vols 1-10. New York: Ieee, p. 2255-+, 2007. 1932-5517 WOS:000251345402050 |
url |
http://hdl.handle.net/11449/195889 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2007 Ieee Power Engineering Society General Meeting, Vols 1-10 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
2255-+ |
dc.publisher.none.fl_str_mv |
Ieee |
publisher.none.fl_str_mv |
Ieee |
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_ |
1808128832090144768 |