This paper presents the analyzed results of a study on the application of thyristor-conrrolled conductance in parallel to one series-capacitor segment for suppressing subsynchronous resonance (SSR) that occurs in a seriescompensated power system. The IEEE Second Benchmark Model, system-], which has one turbine-generatorset, is taken as a standard model for this study. In order to stabilize all SSR modes in the studied system, a unified approach based on modal control theory is proposed to design a damping controller which is a dynamic output feedback compensator using shafi speed deviation of the studied generator as a feedback signal. To demonstrate the effectiveness of the proposed control scheme, frequency-domain approach based on eigenvalue analyses and time-domain approach based on non-linear model simulations are pe$ormed. The simulated results show that the proposed SSR damping scheme can effectively suppress torsional oscillations of the studied system.