Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 376546, 26 pages
http://dx.doi.org/10.1155/2012/376546
Research Article

Predictor-Corrector Primal-Dual Interior Point Method for Solving Economic Dispatch Problems: A Postoptimization Analysis

Antonio Roberto Balbo,1 Márcio Augusto da Silva Souza,2 Edméa Cássia Baptista,1 and Leonardo Nepomuceno3

1Department of Mathematics, Universidade Estadual Paulista (UNESP), 17033-360 Bauru, SP, Brazil
2Graduate Program in Electrical Engineering, Universidade Estadual Paulista (UNESP), 17033-360 Bauru, SP, Brazil
3Department of Electrical Engineering, UNESP—Universidade Estadual Paulista, 17033-360 Bauru, SP, Brazil

Received 9 November 2011; Accepted 3 April 2012

Academic Editor: Jianming Shi

Copyright © 2012 Antonio Roberto Balbo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper proposes a predictor-corrector primal-dual interior point method which introduces line search procedures (IPLS) in both the predictor and corrector steps. The Fibonacci search technique is used in the predictor step, while an Armijo line search is used in the corrector step. The method is developed for application to the economic dispatch (ED) problem studied in the field of power systems analysis. The theory of the method is examined for quadratic programming problems and involves the analysis of iterative schemes, computational implementation, and issues concerning the adaptation of the proposed algorithm to solve ED problems. Numerical results are presented, which demonstrate improvements and the efficiency of the IPLS method when compared to several other methods described in the literature. Finally, postoptimization analyses are performed for the solution of ED problems.