Abstract

The increasing growth in the dimensions and complexities of the optimal utilization problem of the reservoir system, especially hydroelectric power generation systems regarding increasing growth in need to energy and reduction of fossil fuel resources has reduced the use of classic and conventional methods and also has led to the use of modern search methods and modern meta-heuristic and evolutionary algorithms for optimization. In the present study, Shuffled Complex Evolutionary Algorithm (SCE) was investigated. Then, it was integrated with Differential Evolutionary Algorithm (DE), and Improved Shuffled Complex Evolutionary Algorithm (SCE-DE) was constructed. To validate and evaluate function of this algorithm, first, Ackley complex mathematical function and then four other benchmark functions was solved using both SCE and SCE-DE methods. The results were showed that SCE-DE algorithm has a better function than SCE algorithm. Then, in order to better evaluate the algorithm function, known problem of optimization-four-reservoir system was solved. SCE and SCE-DE solutions were compared with absolute optimal solution obtained from LP. The results showed that SCE-DE objective function solution differs from LP solution (0.007%). While SCE objective function solution differs from LP solution (82.1%). In present study, also, the results of the invented algorithm were compared with the results of other researchers in solving this four- reservoir system show that the proposed algorithm has an optimal solution closer to LP solution.

Keywords:Evolutionary algorithms; Optimization; SCE algorithm; DE algorithm