“…The optimal power flow problem as one of the famous multi-objective optimizations also attracts many scholars. Some MOEAs such as multi-objective differential evolutionary [13][14][15][16][17][18], artificial bee colony algorithm [5,[19][20][21][22], multi-objective adaptive immune algorithm [10], enhanced genetic algorithm [23], NSGA-II [7], multi-objective PSO [24,25], quasi-oppositional biogeography-based optimization [26], multi-objective harmony search algorithm [27], modified shuffle frog leaping algorithm [28,29], gravitational search algorithm [1,[30][31][32][33][34], multi-objective modified imperialist competitive algorithm [35,36], multi-hive bee foraging algorithm [37], teaching-learning based optimization algorithm [2,38], multiobjective solution Q() learning [39], etc., have been proposed aiming at the solution of MOOPF problems. However, the above methods have to do some more efforts in order to approach to the true Pareto-Optimal Front and obtain the diversity of the solutions.…”