In order to investigate the dynamic stress characteristics of runner and distributor of pump-turbine, this paper establishes the solid domain models of stay vanes, guide vanes and runner, and carries out the FSI-based computation of runner and distributor. The calculation results show that the stress concentration at the "T" junction between the runner blade and crown is related to the vortex development state at the runner inlet the dynamic and static interference between runner and guide vanes is the main source of pressure pulsation in the vaneless zone, where the main frequency is the blade passing frequency ; the dynamic stress of guide vanes and runner is generally high because the pump-turbine is easily involved in the unstable area while working under smaller GVO (guide vanes opening) or low head conditions. The dynamic stress of guide vanes is greater than that of the runner owing to its constraint guidance effect on water flow, and increased flow rate is beneficial to reducing the dynamic stress of the runner. So for the purpose of improving the dynamic stress of runner, the measures could be ime, in order to solve the limitation of Shapley value method in solving the problem of joint scheduling gain allocation of multi-stakeholder cascade power stations, the paper introduces the idea of aggregation dimension reduction. The idea of the model is as follows : the increment of the cascade power generation benefits before and after the joint dispatching of the upstream power station is taken as the compensation benefit. Firstly, four different objective allocation methods are used to calculate the characteristic parameter indexes of the power station to form the basic decision matrix of TOPSIS. The TOPSIS principle is used to obtain the relative satisfaction of the power station to each allocation method. At the same time, the coalition game theory is used to calculate the power generation benefits of all possible coalition modes of the power station, and the compensation benefit allocation results based on Shapley value are obtained. Finally, the allocation coefficient obtained by TOPSIS principle is combined with the allocation coefficient obtained by Shapley value method to form a comprehensive allocation weight, which is applied to the compensation benefit allocation of eight-stage power station in the upper reaches of the Heihe River. The engineering application example shows that the method not only considers the marginal contribution of the union power station to the whole and the satisfaction degree of each power station, but also takes into account the difference of the characteristic index of the power station, and reasonably quantifies and distributes the power generation compensation benefit among the power stations. The allocation result is fair and reasonable and easy to be accepted by all parties, which can promote the power stations at all levels in the basin to participate in the joint dispatching so as to achieve the goal of maximizing the overall benefit. It has an important reference significance for the distribution of compensation benefits of a large number of cascade hydropower stations. [ABSTRACT FROM AUTHOR]