In order to uniformly coordinate economy and voltage deviations

a novel multi-objective optimal power flow(MOPF)algorithm is proposed for an AC/DC system with VSC-HVDC based on cooperative multi-objective particle swarm optimization(CMOPSO). In order to minimize power generation costs and voltage deviations

the MOPF model of the AC/DC system is built based on the VSC-HVDC steady-state model. The CMOPSO is adopted for solving the MOPF model to find well-distributed Pareto-optimal solutions. Then the solutions are divided into different groups via the fuzzy C-means algorithm. Finally

the optimal compromise solutions reflecting decision-makers' different preferences are identified from each group by comparing the priority memberships which are calculated by using the grey relation projection method. The validity of the proposed approach is verified by using the modified IEEE 14-bus and 118-bus systems.