含SVC和TCSC电力系统小干扰电压稳定性的雅可比矩阵行列式符号比较法

在考虑发电机组及其调节系统、负荷、SVC和TCSC动态过程的情况下，列出了系统的线性化微分方程和代数方程。得出了消去代数方程后的系统线性化微分方程组系数矩阵不出现正实特征值的必要条件为：两种潮流雅可比矩阵的行列式应具有相同的符号，这一条件可以作为小干扰电压稳定性的判据。从理论上来说。它的结果与特征值分析方法一致，而所需要的计算工作量却大大减少，并避免了QR法计算特征值可能产生的数值问题。文中给出了113机542节点西北电网的计算结果。

Small-signal Voltage Stability Analysis in Power System with SVC and TCSC by Comparing Two Determinants of Jacobian Matrices

In consideration of generator, load , SVC and TCSC dynamies, the diffcercntial and algebraic equations of power systems are established. It is shown that a necessary condition for preventing the coefficient matrix of linearized differential equation from existing any positive real eigenvalue is that the determinants of two specially defined Jaeobian matrices shouht have the same sign. This condition can be used as a novel small-signal voltage stability criterion .The application of the criterion can reduce computation time and avoid potential numerical problem in the calculation of eigenvalues by QR method. The results from 113-generator, 542-bus system in Northwest power grid show that the proposed approach is coincident with that ohtained by eigenvalue analysis.