This paper formulates a stochastic dynamic model of a pump-turbine in load-rejection process. Dynamic relative parameters are introduced to describe dynamic characteristics of the pump-turbine in the load-rejection process. The complex transient process results in the stochastic change of the time constant of water flow, and a stochastic variable c is innovatively introduced to establish the stochastic model of the pump-turbine. Then, stochastic dynamic characteristics of the pump-turbine in transient process are investigated. The effects of the stochastic intensity on the dynamic behavior of the pump-turbine are analyzed by means of numerical experiment. Moreover, the influences of the characteristic curve slope on the stochastic dynamic characteristics of the pump-turbine are studied.

本文建立了水泵水轮机甩负荷过程的随机动力学模型。引入动态相对参数来描述甩负荷过程中水轮机的动态特性。复杂的瞬态过程导致水流时间常数的随机变化，并创新地引入了随机变量c来建立水轮机的随机模型。然后，研究了瞬态过程中水轮机的随机动态特性。通过数值实验，分析了随机强度对水轮机动力特性的影响。此外，研究了特性曲线斜率对水轮机随机动态特性的影响。