严重受扰系统的能控性和能观性及失稳模式分析

基于稳定域理论,指出严重受扰系统的轨迹在临近失稳时运行在主导不稳定平衡点附近,因此可以用线性系统来近似描述严重受扰系统的局部动态。相应地分析线性化系统的模式能控性和能观性,并提出秩判据,以判别控制输入矩阵或观测输出矩阵对失稳模式是否能控或能观。采用特征分析,根据特征值、参与因子和模态揭示故障失稳模式,并根据模式能控性和能观性矩阵找出最灵敏的控制输入和观测信号的地点,以控制和检测失稳模式。以10机39节点新英格兰系统为算例,表明所提出的基于主导不稳定平衡点的线性分析方法实用有效,可为构建广域监视和控制系统奠定基础。

Controllability, Observability and Unstable Mode Analysis of Severely Disturbed Power Systems

This paper characterizes the trajectory of severely disturbed power systems based on stability region theory,which will pass by controlling UEP(CUEP)on the verge of losing stability. Therefore the dynamic behavior of system near CUEP can be approximated by linear system to which local modal controllability and observability can be attached. PBH rank test will rule whether input or output matrix is able to control or detect unstable modes. Then eigenanalysis is performed on the linearized system. Eigenvalues, participation factors, and mode shapes can reveal the unstable mode of disturbance. And the mode controllability matrix and mode observability matrix can identify the most sensitive sites of control input and observation signal for the unstable mode. As an illustration, the proposed approach is applied to 10-machine 39-bus New England power system. The results demonstrate that the linear analysis approach based on CUEP lays a sound basis for the architecture of wide area monitoring and control.