Dynamic modeling and energy distribution analysis in a hydroelectric generating system considering the stochastic turbine flow

This study focuses the energy distribution of a hydroelectric generating system. Understanding the way energy distribution is important for researchers because it determines many of the macroscopic attributes, such as conversion efficiency, dynamic characteristics, et al. Historically, energy modeling has been split into two directions, focusing on stability analysis and its control, and has not yet been studied from the viewpoint for the stochastic turbine flow. Here we established a novel stochastic model to analyze the energy distribution of the hydroelectric generating system. We verified this model with the monitored data from Nazixia hydropower station of China. We also show how the stochastic turbine flow affects the energy losses of the system. The result shows that the one with the highest influence is the hydraulic impact losses in spiral case (more than 60%), and the hydraulic friction loss first keeps 19% as the stochastic intensity changes from 0.01 to 0.5, then increases to 20% when the stochastic intensity reaches 0.6.