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在研究电力系统静态稳定时,一般均采用线性化了的系统,此时系统稳定问题的研究归结为对系统第一次近似微分方程式组所决定的特征方程式根的研究。如果特征方程式中具有一个或一个以上的根的实数部分为零时,用第一次近似方程式已经不能解决这样的稳定性问题了。本文提出了一个研究复杂动态系统中相应于上述情况的稳定区边界附近的近似方法,并把这个方法具体应用来研究具有强力励磁调节的电力系统稳定区边界附近的特
In the study of static stability of power system, linear systems are generally used. At this time, the study of system stability problems comes down to the study of the root of the characteristic equation determined by the first approximation system of differential equations. If the real part of one or more roots in the eigenvalue is zero, such a stability problem can not be solved with the first approximation equation. In this paper, we propose an approximate method for the study of complex dynamical systems in the vicinity of the boundary of a stable region corresponding to the above situation, and apply this method to the study of the special