Optimal H<inf>&#x221E;</inf> control without reaching phase with the differential evolution PID based on PSS for multi-machine power system

Abstract

The objective of this paper is to design a nonlinear robust controller for the multi-machine power systems. We present in this study an optimal H∞ tracking control without reaching phase combined with the Proportional Integral Derivative based on Power System Stabilizer (PID-PSS) optimized by Differential Evolution algorithm . To eliminate the tradeoffs between the H ∞ tracking performance and the high gain at the control input, we have defined a new method based on the modified output tracking error by using the exponential function. The Differential Evolution algorithm is used in this study to find the optimal values of the three parameters (Kp, Ki, Kd) of (PID-PSS) and also used to tune the exponential function of the tracking error. The proposed approach is designed to eliminate completely the reaching phase and to enhance the stability and the dynamic response of the multi-machine power system. In order to test the effectiveness of the proposed method, the simulation results show the damping of the oscillations of the angle and angular speed with reduced overshoots and quick settling time.Keywords-differential evolution algorithm; H ∞ tracking error; multi-machine power system; reaching phase; power system stabilizer; proportional integral derivative.

Performance Assessment of Bacterial Foraging based Power System Stabilizer in Multi-Machine Power System

“…Researchers found some lacks in GA performance, which looked at the application with greatly epistatic objective functions. Also, the hasty convergence of GA reduces its act and decreases the search capability [13,15] Secondly, PSS design, by robust & evolutionary control techniques as H∞ control [16,17], quantitative feedback theory [18], & sliding mode [19]. Thirdly, researchers work to enhance PSS performance by changing its structure, optimal and a suboptimal power system stabilizer [20], fractional-order proportionalintegral-differential (FOPID) controller [21], multi-band PSS [7,22].…”