Stochastic dynamic modeling and simulation of a pump-turbine in load-rejection process

Abstract

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.