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This paper discusses the use of trajectory sensitivity analysis (TSA) in assessing the effects of a thyristor controlled series compensator (TCSC) on the stability condition of a power system. TSA has been used to find suitable controller parameters for the effective use of the TCSC in improving stability margin. The TCSC is modeled by a variable capacitor, the value of which changes with the firing angle. Security assessment through TSA is carried out in systems with part of the network reduced by Ward-PV method. This increases the computation speed without much loss of accuracy. The study is carried out in IEEE 16- machine 68-bus system.