Application of Dynamic Sensitivity Theory to Assess the Thyristor-Based FACTS Controllers' Effect on the Transient Stability of Power Systems

This paper describes the application of the dynamic sensitivity theory to assess the condition of stability of an electric power system subjected to a large perturbation. A unified power system transient stability study, including dynamic sensitivities, is described in detail. These sensitivities are derived for both a set of ordinary differential equations and differential-algebraic equations with respect to parameter variations. This theory is extended to consider Flexible AC Transmission System (FACTS) controllers in order to assess their impact on the power system dynamic trajectories due to large perturbations, as well as the controllers' capacity to extend the system's stable state-space region after the system is subjected to a disturbance. The FACTS controllers considered in this paper are the Static VARs Compensator (SVC) and Thyristor Controlled Series Compensator (TCSC). Results are reported in order to show the progress of the developed mathematical models and software.