Multi-objective optimization with non-convex cost functions using fuzzy mechanism based continuous genetic algorithm

In this paper, a fuzzy mechanism based continuous genetic algorithm is employed to optimize the non-convex multi-objective problem for allocating power generation cost to all the generating units of the electrical system considering system constraints. Here, the total system cost for generation is optimized by considering Economic load dispatch and Environmental Dispatch simultaneously. The valve point loading effect is also considered in the proposed multi-objective problem to obtain Non-Convex Environmental Economic Dispatch problem. This biobjective problem is transformed as single objective problem considering price penalty factor. The proposed technique gives the best compromised solution with the highest rank out of the existing Pareto optimal solution set. The performance of the proposed method is confirmed and validated on two test systems having three and six generating units (IEEE-30 bus system). To show the dominance of the method the obtained results are further compared with the recently published result.