Optimal multiobjective planning of large-scale passive harmonic filters using hybrid differential evolution method considering parameter and loading uncertainty

This paper is used to investigate the optimal multiobjective planning of large-scale passive harmonic filters for a multibus system under abundant harmonic current sources using the hybrid differential evolution (HDE) method. The migrant and accelerating operations embedded in HDE are used to overcome traps of local optimal solutions and problems of time consumption. The design purposes are to minimize the total demand distortion of harmonic currents and total harmonic distortion of voltages at each bus. Filters loss, fundamental reactive power compensation, and constraints of individual harmonics are also considered. The search for the global optimal solution is applied to the harmonic problems in a steel plant, where both ac and dc arc furnaces are used and a static var compensator is installed. Three design schemes are compared to demonstrate the performance of HDE. Finally, expectations of objective function are used to present the effects of filter parameter detuning and furnace loading uncertainty.

[1]  Feng-Sheng Wang,et al.  A hybrid method of evolutionary algorithms for mixed-integer nonlinear optimization problems , 1999, Proceedings of the 1999 Congress on Evolutionary Computation-CEC99 (Cat. No. 99TH8406).

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

[3]  Kun-Ping Lin,et al.  An advanced computer code for single-tuned harmonic filter design , 1997, 1997 IEEE Industrial and Commercial Power Systems Technical Conference. Conference Record.

[4]  J.-P. Chiou,et al.  Estimation of Monod model parameters by hybrid differential evolution , 2001 .

[5]  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).

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

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

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

[9]  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).

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

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

[12]  Feng-Sheng Wang,et al.  Plant scheduling and planning using mixed-integer hybrid differential evolution with multiplier updating , 2000, Proceedings of the 2000 Congress on Evolutionary Computation. CEC00 (Cat. No.00TH8512).

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

[14]  Hong-Chan Chang,et al.  Application of differential evolution to passive shunt harmonic filter planning , 1998, 8th International Conference on Harmonics and Quality of Power. Proceedings (Cat. No.98EX227).