Optimal power flow via interior-exterior method

Detalhes bibliográficos
Autor(a) principal: Sousa, V. A. de
Data de Publicação: 2007
Outros Autores: Baptista, E. C. [UNESP], Costa, G. R. M. . da, IEEE
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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spelling 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
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