The problem of transient stabilization of electrical power systems has been an active area of research in recent years. In this paper we address the performance of different control laws for stabilization of the Single Machine Infinite Bus (SMIB) system and a Two Machine Infinite Bus (TMIB) system with Controllable Series Capacitors (CSCs) as actuators. The SMIB and a TMIB systems are described by the swing equation model and the CSCs are modeled by the injection model. The control laws are derived using two nonlinear control techniquesImmersion and Invariance (I&I) and feedback linearization, and a linear control technique called the power system stabilizer. We compare the three control techniques in terms of their performances.