Economic Load Dispatch using Differential Evolution with double wavelet mutation operations

In this paper, a modified Differential Evolution (DE) that incorporates double wavelet-based operations is proposed to handle a load flow problem. The wavelet based operation is embedded in the DE mutation and crossover operation. In the DE mutation operation, the scaling factor is controlled by a wavelet function. In the DE crossover operation, a wavelet-based mutation operation is embedded in it. The trial population vectors are thus modified by the wavelet function. The double wavelet mutations are applied in order to enhance DE in exploring the high-dimension solution space more effectively for better solution quality and stability. The proposed DE algorithm is employed to solve the Economic Load Dispatch with Valve-Point Loading (ELD-VPL) Problem. It is shown empirically that the proposed method out-performs significantly the conventional methods in terms of convergence speed, solution quality and solution stability.

[1]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[2]  Goldberg,et al.  Genetic algorithms , 1993, Robust Control Systems with Genetic Algorithms.

[3]  M.M.A. Salama,et al.  Opposition-Based Differential Evolution , 2008, IEEE Transactions on Evolutionary Computation.

[4]  Hong-Chan Chang,et al.  Large-scale economic dispatch by genetic algorithm , 1995 .

[5]  I. Daubechies.  Ten Lectures on Wavelets , 1992 .

[6]  Sandra Paterlini,et al.  High performance clustering with differential evolution , 2004, Proceedings of the 2004 Congress on Evolutionary Computation (IEEE Cat. No.04TH8753).

[7]  Youyun Ao,et al.  Experimental Study on Differential Evolution Strategies , 2009, 2009 WRI Global Congress on Intelligent Systems.

[8]  K.Y. Lee,et al.  Differential Evolution and its Applications to Power Plant Control , 2007, 2007 International Conference on Intelligent Systems Applications to Power Systems.

[9]  Rakesh Angira,et al.  OPTIMIZATION OF NON-LINEAR FUNCTIONS USING EVOLUTIONARY COMPUTATION , 2002 .

[10]  G. Sheblé,et al.  Refined genetic algorithm-economic dispatch example , 1995 .

[11]  Hak-Keung Lam,et al.  Hybrid Particle Swarm Optimization With Wavelet Mutation and Its Industrial Applications , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[12]  Kit Yan Chan,et al.  A new hybrid Particle Swarm Optimization with wavelet theory based mutation operation , 2007, 2007 IEEE Congress on Evolutionary Computation.

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