【摘要】 根据汽轮发电机组轴系的简化模型 ,采用 Lyapunov直接法对该非线性系统的平衡位置稳定性进行了定性分析 ,在参数取于一定范围内时 ,确定了平衡点的位置 ,对稳定平衡点 ,用 Lyapunov函数对稳定域进行了估计。这里提出的分析方法是直接针对非线性系统的 ,因而避免了线性化方法所产生的误差。文中用仿真算例说明了这种分析方法的有效性更多还原

【Abstract】 A novel method is proposed to analyze the stability of turbine-generator including the shaft torsional oscillations.Using the Lyapunov direct method. the analysis of equilibrium points is undertaken on the basis of the original nonlineargenerator shaft model. Therefore, the error caused by linearization is avoided. Also, the stable operation (comparativelyreserved) region of the generator is obtained. A simple example is used to show the effectiveness of the proposed method toanalyze the generator shaft torsional oscillation and to evaluate the stable margin of the oscillation.This project is supported by National Key Basic Research Special Fund of China (No. G1998020319) and ’PanDeng’Project of the National gth #5 Year’s Plan’ (No. PD9521907).更多还原