A modified Primal-Dual Logarithmic-Barrier Method for solving the Optimal Power Flow problem with discrete and continuous control variables


Autoria(s): Soler, Edilaine Martins; Sousa, Vanusa Alves de; Costa, Geraldo Roberto Martins da
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

06/11/2013

06/11/2013

2012

Resumo

The aim of solving the Optimal Power Flow problem is to determine the optimal state of an electric power transmission system, that is, the voltage magnitude and phase angles and the tap ratios of the transformers that optimize the performance of a given system, while satisfying its physical and operating constraints. The Optimal Power Flow problem is modeled as a large-scale mixed-discrete nonlinear programming problem. This paper proposes a method for handling the discrete variables of the Optimal Power Flow problem. A penalty function is presented. Due to the inclusion of the penalty function into the objective function, a sequence of nonlinear programming problems with only continuous variables is obtained and the solutions of these problems converge to a solution of the mixed problem. The obtained nonlinear programming problems are solved by a Primal-Dual Logarithmic-Barrier Method. Numerical tests using the IEEE 14, 30, 118 and 300-Bus test systems indicate that the method is efficient. (C) 2012 Elsevier B.V. All rights reserved.

Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP)

Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP)

Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq)

Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq)

Identificador

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, AMSTERDAM, v. 222, n. 3, pp. 616-622, 37196, 2012

0377-2217

http://www.producao.usp.br/handle/BDPI/42356

10.1016/j.ejor.2012.05.021

http://dx.doi.org/10.1016/j.ejor.2012.05.021

Idioma(s)

eng

Publicador

ELSEVIER SCIENCE BV

AMSTERDAM

Relação

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH

Direitos

restrictedAccess

Copyright ELSEVIER SCIENCE BV

Palavras-Chave #OR IN ENERGY #OPTIMAL POWER FLOW #INTERIOR POINT METHODS #DISCRETE VARIABLES #NONLINEAR PROGRAMMING #INTERIOR-POINT METHOD #PROGRAMMING-PROBLEMS #ALGORITHM #OPTIMIZATION #MANAGEMENT #OPERATIONS RESEARCH & MANAGEMENT SCIENCE
Tipo

article

original article

publishedVersion