The comprehensive identification model of critical lines in electric power grid based on utility theory and cooperative game

A comprehensive identification model of critical lines in electric power grid is proposed in this paper. First, the index system is established considering both operational condition of electric power grid and its topological structure. Then utility theory is applied to process those sub indices and the comprehensive identification index of critical lines is proposed. However previous studies have not considered seriously the different value of each index in the identification process. To meet this deficiency, this paper applies analytic hierarchy process, entropy-right method and maximizing deviations method to calculate the subjective weight and objective weight of each sub index respectively. To diminish the error of each weight determination method, theory of cooperative game is applied to obtain the combination weight of each index. At last, IEEE 39-bus system is used for analysis. The results show the application of utility theory enhances discrimination between critical lines and general lines. The comparison with the results of previous researches demonstrates the feasibility and validity of this model.