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用李亚普诺夫第二方法分析同步电机自动励磁调节的动态阻尼特性

Analysis of Dynamic Damping Effects for Synchronous Machine Excitation Control System via the "Second Method of Lyapunov"

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【作者】 李先彬; 张建华;

【Author】 Li xianbin; Zhang Jianhua

【机构】 华北电力学院北京研究生部; 华北电力学院北京研究生部;

【摘要】 本文采用沿轨线求能量的积分方法,以李亚普诺夫定理的推论形式,定义了阻尼能量函数D(x0,X)。文章指出,在分析同步电机的自动励碱调节的动态特性时,1,胡尔维茨准则的最后一个不等式△n-1正比于系统的阻尼系数;2,在大振荡情况下,当一个周期的部分时间内系统是负阻尼时,整个系统仍能稳定运行的阻尼条件。对PSS在大振荡时的阻尼效应,文章着重进行了分析。并提出改善的意见。

【Abstract】 Damping Energy Function is defined as D (X0,X)=∫(x0, x) K(x) xi dxi-1 by integration of energy along its path, in accordance with Lyapunov Theorem. In analysis of the dynamic performance of synchronous machine excitation systems, two points are shown: 1. Among the criteria of Hurwit, △n-1 is proportional to the damping coefficients of systems. 2. During a large scale oscillation, the stabilizing condition of damping effect can be derived, though the system is negative damping in part of a period. The damping effect on PSS under large scale oscillation is emphatically discussed and suggestions for improvement are presented.

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