Interior/exterior-point methods with inertia correction strategy for solving optimal reactive power flow problems with discrete variables

Detalhes bibliográficos
Autor(a) principal: Tófoli, Marielena Fonseca [UNESP]
Data de Publicação: 2018
Outros Autores: Soler, Edilaine Martins [UNESP], Balbo, Antonio Roberto [UNESP], Baptista, Edméa Cássia [UNESP], Nepomuceno, Leonardo [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s10479-018-3012-y
http://hdl.handle.net/11449/180143
Resumo: Interior/exterior-point methods have been widely used for solving Optimal Reactive Power Flow problems (ORPF). However, the utilization of such methods becomes difficult when transformer taps and/or capacitor/reactor banks are more rigorously represented in the problem formulation by means of discrete control variables. This work investigates the solution of the ORPF problem when transformer tap ratios are modeled as discrete variables. The solution method proposed handles discrete variables by means of sinusoidal penalty function, while the penalized problems are solved by an exterior-point method. An inertia correction strategy is proposed in order to assure that only local minima are obtained for the penalized problems. New search directions are also investigated that combine predictor and corrector directions. Numerical simulations are performed involving the IEEE 14, 30 and 57 bus systems. The results show the efficiency of the proposed inertia correction strategy and also reveals that the proposed exterior-point method outperforms traditional interior-point methods in terms of the number of iterations and computation times.
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spelling Interior/exterior-point methods with inertia correction strategy for solving optimal reactive power flow problems with discrete variablesInterior/exterior-point methodsMixed discrete nonlinear programmingOptimal reactive power flowInterior/exterior-point methods have been widely used for solving Optimal Reactive Power Flow problems (ORPF). However, the utilization of such methods becomes difficult when transformer taps and/or capacitor/reactor banks are more rigorously represented in the problem formulation by means of discrete control variables. This work investigates the solution of the ORPF problem when transformer tap ratios are modeled as discrete variables. The solution method proposed handles discrete variables by means of sinusoidal penalty function, while the penalized problems are solved by an exterior-point method. An inertia correction strategy is proposed in order to assure that only local minima are obtained for the penalized problems. New search directions are also investigated that combine predictor and corrector directions. Numerical simulations are performed involving the IEEE 14, 30 and 57 bus systems. The results show the efficiency of the proposed inertia correction strategy and also reveals that the proposed exterior-point method outperforms traditional interior-point methods in terms of the number of iterations and computation times.Departamento de Engenharia Elétrica Faculdade de Engenharia Universidade Estadual Paulista (Unesp)Departamento de Matemática Faculdade de Ciências Universidade Estadual Paulista (Unesp)Departamento de Engenharia Elétrica Faculdade de Engenharia Universidade Estadual Paulista (Unesp)Departamento de Matemática Faculdade de Ciências Universidade Estadual Paulista (Unesp)Universidade Estadual Paulista (Unesp)Tófoli, Marielena Fonseca [UNESP]Soler, Edilaine Martins [UNESP]Balbo, Antonio Roberto [UNESP]Baptista, Edméa Cássia [UNESP]Nepomuceno, Leonardo [UNESP]2018-12-11T17:38:20Z2018-12-11T17:38:20Z2018-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1007/s10479-018-3012-yAnnals of Operations Research.1572-93380254-5330http://hdl.handle.net/11449/18014310.1007/s10479-018-3012-y2-s2.0-850526413412-s2.0-85052641341.pdf196503152950828201344518724769184796874045269580000-0002-7615-57680000-0002-5642-8925Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengAnnals of Operations Research0,9430,943info:eu-repo/semantics/openAccess2024-06-28T13:34:23Zoai:repositorio.unesp.br:11449/180143Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:23:04.819710Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Interior/exterior-point methods with inertia correction strategy for solving optimal reactive power flow problems with discrete variables
title Interior/exterior-point methods with inertia correction strategy for solving optimal reactive power flow problems with discrete variables
spellingShingle Interior/exterior-point methods with inertia correction strategy for solving optimal reactive power flow problems with discrete variables
Tófoli, Marielena Fonseca [UNESP]
Interior/exterior-point methods
Mixed discrete nonlinear programming
Optimal reactive power flow
title_short Interior/exterior-point methods with inertia correction strategy for solving optimal reactive power flow problems with discrete variables
title_full Interior/exterior-point methods with inertia correction strategy for solving optimal reactive power flow problems with discrete variables
title_fullStr Interior/exterior-point methods with inertia correction strategy for solving optimal reactive power flow problems with discrete variables
title_full_unstemmed Interior/exterior-point methods with inertia correction strategy for solving optimal reactive power flow problems with discrete variables
title_sort Interior/exterior-point methods with inertia correction strategy for solving optimal reactive power flow problems with discrete variables
author Tófoli, Marielena Fonseca [UNESP]
author_facet Tófoli, Marielena Fonseca [UNESP]
Soler, Edilaine Martins [UNESP]
Balbo, Antonio Roberto [UNESP]
Baptista, Edméa Cássia [UNESP]
Nepomuceno, Leonardo [UNESP]
author_role author
author2 Soler, Edilaine Martins [UNESP]
Balbo, Antonio Roberto [UNESP]
Baptista, Edméa Cássia [UNESP]
Nepomuceno, Leonardo [UNESP]
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Tófoli, Marielena Fonseca [UNESP]
Soler, Edilaine Martins [UNESP]
Balbo, Antonio Roberto [UNESP]
Baptista, Edméa Cássia [UNESP]
Nepomuceno, Leonardo [UNESP]
dc.subject.por.fl_str_mv Interior/exterior-point methods
Mixed discrete nonlinear programming
Optimal reactive power flow
topic Interior/exterior-point methods
Mixed discrete nonlinear programming
Optimal reactive power flow
description Interior/exterior-point methods have been widely used for solving Optimal Reactive Power Flow problems (ORPF). However, the utilization of such methods becomes difficult when transformer taps and/or capacitor/reactor banks are more rigorously represented in the problem formulation by means of discrete control variables. This work investigates the solution of the ORPF problem when transformer tap ratios are modeled as discrete variables. The solution method proposed handles discrete variables by means of sinusoidal penalty function, while the penalized problems are solved by an exterior-point method. An inertia correction strategy is proposed in order to assure that only local minima are obtained for the penalized problems. New search directions are also investigated that combine predictor and corrector directions. Numerical simulations are performed involving the IEEE 14, 30 and 57 bus systems. The results show the efficiency of the proposed inertia correction strategy and also reveals that the proposed exterior-point method outperforms traditional interior-point methods in terms of the number of iterations and computation times.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-11T17:38:20Z
2018-12-11T17:38:20Z
2018-01-01
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/s10479-018-3012-y
Annals of Operations Research.
1572-9338
0254-5330
http://hdl.handle.net/11449/180143
10.1007/s10479-018-3012-y
2-s2.0-85052641341
2-s2.0-85052641341.pdf
196503152950828
2013445187247691
8479687404526958
0000-0002-7615-5768
0000-0002-5642-8925
url http://dx.doi.org/10.1007/s10479-018-3012-y
http://hdl.handle.net/11449/180143
identifier_str_mv Annals of Operations Research.
1572-9338
0254-5330
10.1007/s10479-018-3012-y
2-s2.0-85052641341
2-s2.0-85052641341.pdf
196503152950828
2013445187247691
8479687404526958
0000-0002-7615-5768
0000-0002-5642-8925
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Annals of Operations Research
0,943
0,943
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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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