Optimal design of the grey prediction PID controller for power system stabilizers by evolutionary programming

In this paper, we propose an effective method to design the grey prediction PID controller for power system stabilizers (PSSs). The proposed method requires only a few desired state variables, such as torque angles and rotor speeds. Firstly, we use the optimal reducing technique to reduce the order of the power system model into two state variable systems, and then we use the grey prediction PID controller to predict the control signal of each generator. Moreover, we use the fuzzy controller to enhance the performance of the PID. And then we apply the evolutionary programming (EP) technique to search the optimal parameters of the PID controller and optimal forecasting step of the grey prediction. Finally, we illustrate the advantages of the proposed method with the numerical simulation of a two-machines-infinite-bus power system.