Abstract: Black-start is the first stage of power system restoration， thus determining the optimal black-start strategy is vital for the quick restoration of a power system. In most existing black-start decision-making methods the evaluation index is represented as a single value， and the incompleteness and uncertainty of the obtained information are hardly considered. Given this background， the Vague set is used to represent the value and its weight of the evaluation index. In consideration of the similarity measures between a candidate strategy and an ideal one， a black-start decision-making method based on the similarity measures between two Vague sets is proposed. Compared with the existing fuzzy decision-making methods， the presented method requires less subjective information and makes full use of objective information in the evaluation index. This method could determine the priority of a candidate strategy quickly and provide support for the real-time black-start decision-making by comparing the similarity between a candidate strategy and an ideal one. Finally， the feasibility and effectiveness of the proposed method are demonstrated in an actual black-start scenario.

Key words: power system restoration, black-start decision-making, vague set, similarity measures