Robustness Analysis in Evolutionary Multi-Objective Optimization Applied to VAR Planning in Electrical Distribution Networks

Authors:
Carlos Barrico;Carlos Henggeler Antunes;Dulce Fernão Pires
Affiliations:
INESC Coimbra, Rua Antero de Quental 199, Coimbra, Portugal 3000-033 and Department of Informatics, University of Beira Interior, Covilhã, Portugal 6200;INESC Coimbra, Rua Antero de Quental 199, Coimbra, Portugal 3000-033 and Department of Electrical Engineering and Computers, University of Coimbra, Portugal;INESC Coimbra, Rua Antero de Quental 199, Coimbra, Portugal 3000-033 and School of Technology, Polytechnic Institute of Setúbal, Setúbal, Portugal 2910-761
Venue:
EvoCOP '09 Proceedings of the 9th European Conference on Evolutionary Computation in Combinatorial Optimization
Year:
2009

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Abstract

In this paper an approach to robustness analysis in evolutionary multi-objective optimization is applied to the problem of locating and sizing capacitors for reactive power compensation (VAR planning) in electric radial distribution networks. The main goal of this evolutionary algorithm is to find a non-dominated front containing the most robust non-dominated solutions also ensuring diversity along the front. A concept of degree of robustness is incorporated into the evolutionary algorithm, which intervenes in the computation of the fitness value assigned to solutions. Two objective functions of technical and economical nature are explicitly considered in the mathematical model: minimization of system losses and minimization of capacitor installation costs. Constraints refer to quality of service, power flow, and technical requirements. It is assumed that some input data are subject to perturbations, both concerning the objective functions and the constraints coefficients.