The cooperative game with transferable payoff for hybrid power system con-sisting of wind generators, photovoltaic panels and storage batteries is studied in this paper.As is illustrated that the grand cooperation of all the three players can achieve the maximum total economic benefit, how to assign the gains from the cooperation is an essential problem in the cooperative game, and is thus the topic of this paper. The constraints for any imputation scheme satisfying individual rationality, group rationality and coalition rationality are given to attempt to achieve a mutually acceptable basis for an agreement, such that all the players are interested to cooperate. Further, a modified disruption propensity index is proposed to test the cooperation strength of a given imputation cheme. Finally, four specific imputation schemes i.e. the equal assignment, the generation capacity based assignment, the Shapley value and the equal disruption propensity based imputations, are compared and analyzed, and the last two schemes are illustrated to be the mutually acceptable ones.
WANG Yingying ,MEI Shengwei ,LIU Feng.
IMPUTATION SCHEMES FOR THE COOPERATIVE GAME IN THE HYBRID POWER SYSTEM PLANNING. Journal of Systems Science and Mathematical Sciences, 2012, 32(4): 418-428 https://doi.org/10.12341/jssms11861