Interval stability analysis of power systems with wind turbine based on three-mass shaft model

Abstract

Due to the limitation of environment, technology and information, the parameters of power system are uncertain, which brings great challenges to the study of power system security and stability. In order to analyze the stability of power systems with such constraints, we can obtain the third-order mathematical model of the asynchronous wind turbine, based on the three-mass asynchronous wind turbine generator. The three-mass asynchronous wind turbine generator consists of a wind model, a shafting model and an asynchronous generator. According to various uncertainties of the system, each parameter is an uncertain value varying from a certain range. Based on the mathematical model and the state equations, the small signal interval model with multiple interval parameters is established considering the method of small signal stability analysis of power systems. The interval stability theorem of the small signal interval system of the power system with asynchronous wind turbines is established to analyze the asynchronous wind power system with one machine infinite bus (OMIB) system as an example. The stable result are judged by the change of the value range of multiple operating parameters of the system and verified by numerical simulation.