Nonlinear Voltage Controller-based Model Predictive Control with a Prescribed Degree of Stability Using Takagi-Sugeno Fuzzy Control System and Laguerre Functions for Multimachine Power Systems

Abstract

This article presents the design of a control approach based on the continuous-time predictive control model (MPC) with prescribed degree of stability, the Takagi–Sugeno fuzzy model, and the Laguerre functions. This controller is offered to improve the transient stability and voltage regulation of multi-machine power systems. We first used the Takagi–Sugeno fuzzy model. It is a strategy for converting a nonlinear system into a linear system so that linear control techniques can be applied. Model Predictive Control (MPC) is an advanced control scheme based on optimal control. Laguerre functions are used to approximate the control signal to reduce the high computational cost of this technique. The proposed controller is also designed to acquire a wider stability margin through the implementation of the concept of the prescribed degree of stability. This approach will allow the poles of the closed-loop system to be assigned to the desired locations in the left half of the S-plane. The proposed approach is applied to the two-generator infinite bus power system.  This multi-machine power system is chosen to highlight the effectiveness of the proposed approach in improving transient stability and voltage regulation with respect to the various imposed faults.