不可微环节对电力系统小扰动稳定域的影响

研究了不可微环节对电力系统小扰动稳定域（SSSR）的影响。首先给出一种利用分段函数描述连续但不可微环节的方法，将函数的不可微点转换为该解析式导数的极点。进一步利用该方法并借助一个简单的3节点系统，深入探讨了励磁顶值对系统小扰动稳定性和SSSR的影响。研究发现，励磁顶值会引起系统雅可比矩阵和主导特征值跳变，使系统产生新的Hopf分岔点（振荡模式）；此外，励磁顶值上下限取值不同时，会导致SSSR内产生新的不稳定区域（空洞），并使SSSR的边界构成复杂化。

Tentative Study on the Influence of Non-differential Components to Power System Small Signal Stability Region

In this paper, the author mainly focuses on the influence of non-differential components to power system small signal stability region (SSSR) study. An expressive method is firstly introduced to describe the piecewise, continuous function. It converts the non-differential points into some poles of the derivative function. The left-hand derivative limit and the right-hand derivative limit can be used to approximate the derivatives of such poles according to the requirement. Based on this method and a simple three-bus system, the impact of the exciter limit to power system small signal stability and SSSR is then deeply discussed. It is found that the exciter limit can change elements of the system Jacobian matrix so as to cause jumping of the system critical eigenvalue. New Hopf bifurcation and new oscillation mode can be triggered when exciter voltage hits its limitation. In addition, exciter limit can cause significant topological changes to the power system SSSR. e. g. exciter limit can cause new instability hole in the SSSR and make the region boundaries more complex.