An Approximation Solution of the Swing Equation Using Particle Swarm Optimization

Bring the power system to its stable operation after the system being disturbed is one of the most important capabilities in power generation and control. A loss of synchronization is generally the result of instability. The angle of the rotor in a generator depends on the mechanical power and electrical power. The output power of a synchronous machine is linked to the mechanical torque, which is central to the angle stability of rotor. Therefore, maintaining synchronization in the presence of disturbance is the goal in power generation. In this paper, the transient stability of a power system is investigated by solving the swing equation using the particle swarm optimization (PSO). The investigation is carried out for the swing equation in terms of angle stability during the normal operation and after the fault occurs. Single machine and two-machine power systems are considered in this study. The obtained results show satisfactorily approximation solution for the swing equation. The proposed method introduces a similar and better solution compared to the other conventional numerical methods.