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Generator restoration after blackout based on preference optimization method

During system restoration, it is critical to determine The start-up sequence of non-black-start generators according to post-blackout situations following a blackout. The generator start-up sequencing is a multi-objective optimization problem and the importance of different objectives varies a lot. In this paper, the corresponding optimization problem is formulated as a preference multi-objective optimization model based on preference optimization theory. The preference information of the proposed optimization model is expressed as a reference point in an a priori way. The r-NSGA-II algorithm, incorporating the reference solution-based dominance relation, is used to solve the preference multi-objective optimization model according to the specified reference point. The proposed generator start-up method can provide preferred optimal generator start-up sequences and corresponding restoration paths simultaneously. Simulation results of the New England 10-unit 39-bus power system and the western Shandong power system in north China demonstrate the basic features and the effectiveness of the proposed method.