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.