Multi-objective Power Dispatch Using Stochastic Fractal Search Algorithm and TOPSIS

Abstract

This paper presents solution of multi objective economic and emission dispatch (MOEED) problem using stochastic fractal search algorithm (SFSA). Fractals are self repeating natural patterns like DNA, leaves of a tree etc. SFSA is a novel optimization algorithm which utilizes the concept of fractals for exploring and searching the problem domain for finding the optimal solution. Fractals are created around a random initial solution by employing a suitable stochastic technique. The generated particles then explore the search space in an efficient manner using diffusion property of random fractal. For overall fitness evaluation of the multiple Pareto optimal solutions TOPSIS (technique for order preference similar to an ideal solution) is employed. To validate the performance of the proposed method on practical constrained optimization problems analysis has been carried out on standard 10 and 13 generating unit systems. Results of stochastic fractal search algorithm with weighted sum method (SFSA_WS) are compared with SFSA with TOPSIS (SFSA_TOP) method. The results obtained by both cases are also compared with those available in recent literature, which confirms the potential of SFSA_TOP for solution of MOEED problems.