An ant direction hybrid differential evolution heuristic for the large-scale passive harmonic filters planning problem

This article presents a heuristic which combines the orthogonal array experiment technique and an ant direction hybrid differential evolution algorithm (ADHDEOA) for planning of a large-scale passive harmonic filters problem. The addressed problem has a multi-bus and under abundant harmonic current sources in the system. In this study, an orthogonal array is first conducted to obtain the initial solution. Next, an ant direction hybrid differential evolution (ADHDE) is applied to search for a near optimum solution. The objective is to minimize the cost of the filter, the total demand distortion of harmonic currents and the total harmonic distortion of voltages at each bus simultaneously. In order to determine a set of weights of each term in the objective function, the simplest and most efficient form of triangular membership functions has been considered. The designed heuristic ADHDEOA is applied to a practical harmonic problem in a steel plant, and three design schemes are compared to demonstrate the performance of the ADHDEOA.

[1]  D. A. Gonzalez,et al.  Design of Filters to Reduce Harmonic Distortion in Industrial Power Systems , 1987, IEEE Transactions on Industry Applications.

[2]  B. Bhargava.  Arc furnace flicker measurements and control , 1993 .

[3]  Ji-Pyng Chiou,et al.  A hybrid method of differential evolution with application to optimal control problems of a bioprocess system , 1998, 1998 IEEE International Conference on Evolutionary Computation Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98TH8360).

[4]  Cristian Bovo,et al.  The use of genetic algorithms for the localization and the sizing of passive filters , 2000, Ninth International Conference on Harmonics and Quality of Power. Proceedings (Cat. No.00EX441).

[5]  R. Storn,et al.  Differential evolution a simple and efficient adaptive scheme for global optimization over continu , 1997 .

[6]  Hirofumi Akagi,et al.  New trends in active filters for power conditioning , 1996 .

[7]  Ji-Pyng Chiou,et al.  Ant direction hybrid differential evolution for solving large capacitor placement problems , 2004 .

[8]  Chih-Ju Chou,et al.  Optimal planning of large passive-harmonic-filters set at high voltage level , 2000 .

[9]  Luca Maria Gambardella,et al.  Ant colony system: a cooperative learning approach to the traveling salesman problem , 1997, IEEE Trans. Evol. Comput..

[10]  R. Yager.  On a general class of fuzzy connectives , 1980 .

[11]  Ward Jewell,et al.  Effects of harmonics on equipment , 1993 .

[12]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..