Solving large-scale reactive optimal power flow problems by a primal–dual M 2BF approach

Detalhes bibliográficos
Autor(a) principal: Pinheiro, Ricardo B. N. M. [UNESP]
Data de Publicação: 2019
Outros Autores: Nepomuceno, Leonardo [UNESP], Balbo, Antonio R. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s11081-019-09451-4
http://hdl.handle.net/11449/189390
Resumo: In this paper, we propose a predictor–corrector primal–dual approach for the doubly modified logarithmic barrier function (M 2BF) method in order to solve Optimal Reactive Power Flow (ORPF) problems. The M 2BF is a modification of the Polyak’s modified logarithmic barrier function (MBF) and is also a particular element of a recent family of nonquadratic penalty functions for augmented Lagrangian methods for handling convex problems only with inequality constraints. We also propose a global convergence strategy to be inserted in the proposed algorithm, which is developed over weak assumptions concerning the primal Hessian matrix. The resulting predictor–corrector primal–dual M 2BF approach is applied for solving ORPF problems involving power systems with 57, 89, 118, 200, 300, 1354, 2007 and 2869 buses. A comparison with two state-of-the-art methods is performed. Numerical results show that the proposed approach is competitive and capable of solving ORPF problems for small to large-scale power systems.
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spelling Solving large-scale reactive optimal power flow problems by a primal–dual M 2BF approachAugmented Lagrangian methodsInterior/exterior-point methodOptimal Reactive Power FlowPrimal–dual M 2BFIn this paper, we propose a predictor–corrector primal–dual approach for the doubly modified logarithmic barrier function (M 2BF) method in order to solve Optimal Reactive Power Flow (ORPF) problems. The M 2BF is a modification of the Polyak’s modified logarithmic barrier function (MBF) and is also a particular element of a recent family of nonquadratic penalty functions for augmented Lagrangian methods for handling convex problems only with inequality constraints. We also propose a global convergence strategy to be inserted in the proposed algorithm, which is developed over weak assumptions concerning the primal Hessian matrix. The resulting predictor–corrector primal–dual M 2BF approach is applied for solving ORPF problems involving power systems with 57, 89, 118, 200, 300, 1354, 2007 and 2869 buses. A comparison with two state-of-the-art methods is performed. Numerical results show that the proposed approach is competitive and capable of solving ORPF problems for small to large-scale power systems.Department of Electrical Engineering Faculdade de Engenharia de Bauru UNESP - Univ Estadual PaulistaDepartment of Mathematics Faculdade de Ciências UNESP - Univ Estadual PaulistaDepartment of Electrical Engineering Faculdade de Engenharia de Bauru UNESP - Univ Estadual PaulistaDepartment of Mathematics Faculdade de Ciências UNESP - Univ Estadual PaulistaUniversidade Estadual Paulista (Unesp)Pinheiro, Ricardo B. N. M. [UNESP]Nepomuceno, Leonardo [UNESP]Balbo, Antonio R. [UNESP]2019-10-06T16:39:09Z2019-10-06T16:39:09Z2019-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/s11081-019-09451-4Optimization and Engineering.1573-29241389-4420http://hdl.handle.net/11449/18939010.1007/s11081-019-09451-42-s2.0-850687986892013445187247691Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengOptimization and Engineeringinfo:eu-repo/semantics/openAccess2024-06-28T13:34:14Zoai:repositorio.unesp.br:11449/189390Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:49:19.742260Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Solving large-scale reactive optimal power flow problems by a primal–dual M 2BF approach
title Solving large-scale reactive optimal power flow problems by a primal–dual M 2BF approach
spellingShingle Solving large-scale reactive optimal power flow problems by a primal–dual M 2BF approach
Pinheiro, Ricardo B. N. M. [UNESP]
Augmented Lagrangian methods
Interior/exterior-point method
Optimal Reactive Power Flow
Primal–dual M 2BF
title_short Solving large-scale reactive optimal power flow problems by a primal–dual M 2BF approach
title_full Solving large-scale reactive optimal power flow problems by a primal–dual M 2BF approach
title_fullStr Solving large-scale reactive optimal power flow problems by a primal–dual M 2BF approach
title_full_unstemmed Solving large-scale reactive optimal power flow problems by a primal–dual M 2BF approach
title_sort Solving large-scale reactive optimal power flow problems by a primal–dual M 2BF approach
author Pinheiro, Ricardo B. N. M. [UNESP]
author_facet Pinheiro, Ricardo B. N. M. [UNESP]
Nepomuceno, Leonardo [UNESP]
Balbo, Antonio R. [UNESP]
author_role author
author2 Nepomuceno, Leonardo [UNESP]
Balbo, Antonio R. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Pinheiro, Ricardo B. N. M. [UNESP]
Nepomuceno, Leonardo [UNESP]
Balbo, Antonio R. [UNESP]
dc.subject.por.fl_str_mv Augmented Lagrangian methods
Interior/exterior-point method
Optimal Reactive Power Flow
Primal–dual M 2BF
topic Augmented Lagrangian methods
Interior/exterior-point method
Optimal Reactive Power Flow
Primal–dual M 2BF
description In this paper, we propose a predictor–corrector primal–dual approach for the doubly modified logarithmic barrier function (M 2BF) method in order to solve Optimal Reactive Power Flow (ORPF) problems. The M 2BF is a modification of the Polyak’s modified logarithmic barrier function (MBF) and is also a particular element of a recent family of nonquadratic penalty functions for augmented Lagrangian methods for handling convex problems only with inequality constraints. We also propose a global convergence strategy to be inserted in the proposed algorithm, which is developed over weak assumptions concerning the primal Hessian matrix. The resulting predictor–corrector primal–dual M 2BF approach is applied for solving ORPF problems involving power systems with 57, 89, 118, 200, 300, 1354, 2007 and 2869 buses. A comparison with two state-of-the-art methods is performed. Numerical results show that the proposed approach is competitive and capable of solving ORPF problems for small to large-scale power systems.
publishDate 2019
dc.date.none.fl_str_mv 2019-10-06T16:39:09Z
2019-10-06T16:39:09Z
2019-01-01
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/10.1007/s11081-019-09451-4
Optimization and Engineering.
1573-2924
1389-4420
http://hdl.handle.net/11449/189390
10.1007/s11081-019-09451-4
2-s2.0-85068798689
2013445187247691
url http://dx.doi.org/10.1007/s11081-019-09451-4
http://hdl.handle.net/11449/189390
identifier_str_mv Optimization and Engineering.
1573-2924
1389-4420
10.1007/s11081-019-09451-4
2-s2.0-85068798689
2013445187247691
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Optimization and Engineering
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
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