For the modeling and forecasting problems of shock perturbation systems, this paper expands the variable-weighted buffer operator with full information, and proposes two kinds of perfect information variable weighted buffer operators with a power index, and theoretically reveals the conversion relationship of the buffer operator. On this basis, this paper gives a new operator parameters optimization mechanism and specific algorithm, and discusses the time complexity of the algorithm. Finally, the forecast of disturbance data of the installed capacity of wind power in the country is taken as an example to verify the effectiveness and superiority of the new operator. The results show that the new operator proposed and its optimization algorithm significantly improve the adaptability of the buffer operator to the shock perturbation system and the accuracy of the gray model without increasing time complexity. In addition, the perfect information variable weighting strengthening(weakening) buffer operator is a special form of the new operator; When the power index is 1, the new operator degenerates into the perfect information variable weighted strengthening buffer operator; when the power index is taken as the value at -1, the new operator degenerates into the perfect information variable weight weakening buffer operator.