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In order to unifiedly coordinate economy and voltage deviations, a novelmulti-objective optimal power flow (MOPF) algorithm is proposed for an AC/DCsystem with VSC-HVDC based on cooperative multi-objective particle swarmoptimization (CMOPSO). In order to minimize power generation costs and voltagedeviations, the MOPF model of the AC/DC system is firstly built based on theVSC-HVDC steady-state model. Then, the CMOPSO is adopted for solving the MOPFmodel to find well-distributed Pareto-optimal solutions. Next, the solutionsare divided into different groups via the fuzzy C-means algorithm, and finallythe best compromise solutions reflecting decision-makers' different preferencesare identified from each group by comparing the priority memberships which arecalculated by using the grey relation projection method. The validity of theproposed approach is verified by using the modified IEEE 14-bus and 118- bussystems.

Optimal Power Flow for AC/DC System Based on Cooperative Multi-objective Particle Swarm Optimization