The advancement of power electronics technologies has significantly developed the power system stabilizing controllers. Quantitative as well as qualitative evaluation on their effectiveness in power systems is a matter of great importance for the feasibility investigation of these apparatus. In this paper, the possible control region of FACTS controllers with series and/or shunt configuration in a single machine to infinite bus system is formulated in the power-angle curve with a set of algebraic equations. The effectiveness of TCPST (Thyristor-Controlled Phase Shifting Transformer), SSSC (Static Synchronous Series Compensator) and TCSC (Thyristor-Controlled Series Compensator) for the improvement of the transient stability is evaluated quantitatively as a numerical example. The correctness of the proposed method has been confirmed by the analysis based on the EMTP simulation with a detailed system model.
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