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In this paper, the strategy for black-start system partitioning is investigated by considering the optimal start-up sequence of the units in each subsystem. Meanwhile, the time and capability constraints during unit restarting are also considered. Considering the different requirements of the various kinds of units in the different stages of the restoration, this paper proposes a three-stage partitioning algorithm based on genetic algorithms. By the proposed method, a feasible scheme of system partitioning can be found with more units to be restarted-up within the time requirements and the time consumption for the whole system restoration can be reduced to a minimum value. To each subsystem, the power flow constraints are checked to ensure a feasible power distribution. The effectiveness of the proposed method is validated by the numerical results on the IEEE 118-bus power system.