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Disturbances in electrical power system cause imbalances in electromechanical and mechanical torque of all machines. These imbalances result in oscillations between synchronous generators. In order to damp these oscillations, the stability analysis has been performed on a one machine system by using some regulator gain coefficients, which should eventually improve the recovery time after a system failure. The boundaries of the coefficients are initially defined and only some coefficients among all the calculated parameters are selected for test purposes. By measuring and recording the regulator terminal voltage continuously, some regulator parameters has been determined which finally help in optimizing the system stability by using Artificial Neural Networks.