Aiming at the optimization problem of hybrid energy storage that meets the peak shaving and frequency regulation demands of the power grid

a hybrid energy storage selection method based on subjective and objective weighting and set pair analysis is proposed. Firstly

considering the demand characteristics of energy storage in peak shaving and frequency regulation conditions comprehensively

we construct an index system from multiple perspectives. Then

the interval analytic hierarchy process (IAHP) is adopted to obtain the subjective weights of the indicators. The objective weight of the index is obtained by using the improved entropy weight method

which effectively solves the defect of large weight calculation error of the traditional entropy weight method when the entropy value of the index approaches 1. Moreover

the comprehensive weight is determined based on game theory

improving the rationality of weight distribution. Then

a hybrid energy storage selection model based on the set pair analysis method is constructed. By introducing the connection number to fully consider the uncertainties contained in the parameters of the energy storage interval

the accuracy of the selection results is improved. Finally

taking the peak shaving and frequency regulation working conditions in a certain area of China's Liaoning Province as an example

we analyze and compare the evaluation results of common selection methods. The results show that the method proposed in this paper can be adopted to improve the accuracy and effectiveness of the hybrid energy storage selection results by considering the uncertainty of interval parameters

providing technical supports for subsequent energy storage planning.