基于鲁里叶型Lyapunov函数的电力系统次同步谐振稳定运行域的分析

ANALYSIS OF THE STABILITY OPERATION REGION OF SSR IN POWER SYSTEM BASED ON A LURE LYAPUNOV FUNCTION

将汽轮发电机六段轴系模型转化成标准鲁里叶控制系统,应用鲁里叶型Lyaponov函数对该非线性系统在平衡位置的稳定性进行详细的分析,确定轴系的稳定运行域,为电力系统SSR稳定运行域的可视化描述提供了新的思路。由于该方法是直接针对非线性系统的,故对小干扰和大扰动下的轴系扭振的分析均能适用。对IEEE第一基准模型(两段和六段轴系)的仿真结果表明了该方法的有效性。

This paper describes a standard Lure ontrolmodel of turbine generator shaft system based on the Lure Lyapunov function. A novel method is used to analyze the stability of the nonlinear shaft system at the equilibrium points in detail. The stability operation region of the turbine generator shaft torsional oscillation is obtained. Because the analysis is on the basis of the original nonlinear system, the proposed method can be applied not only to small disturbance but to greatdisturbance. The effectiveness of the proposed method isverified by the simulation results obtained with the IEEE first benchmark model.