Abstract: Transient stability of synchronous generator can be analyzed by different methods like Time Domain Method, Direct Method , Approximation Method and Artificial Intelligence Method . This work aims at the analysis of transient stability analysis of synchronous generator in power system using time domain method.Problems and issues in these analyzed by time domain method was being identified . Advantages, disadvantages of time domain method was carried out through a simulation based on Critical Clearing Time (CCT) determination and necessary modelling for Single Machine Infinite Bus(SMIB) system
Keywords: CCT (Critical Clearing Time), Transient stability analysis, Time domain method, SMIB (Single Machine Infinite Bus).