A new methodology for small-signal stability analysis of FACTS system

This paper puts forward a new methodology for the small signal stability analysis of power systems with FACTS devices. The analytical basis of the method is the Poincare map theory and automatic differentiation technique which offers an effective means to easily extend the conventional time domain digital simulation software to have the function of eigenvalue analysis. The Jacobian of the time-varying nonlinear systems is numerically calculated via automatic differentiation with high precision. The approach can handle large-scale system with power electronic devices and sophisticated control strategies and it is always approximation-free to model the entire system. The paper demonstrates the capability of proposed method on a SVC circuit and verifies the accuracy with theoretical result.