Transient stability and voltage regulation in the framework of the interval type‐2 fuzzy model‐based control systems

Abstract

In this paper, the transient stability enhancement and voltage regulation of a multimachine power system are investigated taking into account the generator parameter uncertainties. An interval type‐2 Takagi–Sugeno (IT2 T‐S) fuzzy model is proposed to represent the nonlinear plant subject to parameter uncertainties. New basic concepts of the IT2 T‐S fuzzy model are proposed to reduce considerably the number of models adopted. A Lyapunov‐based approach is employed to analyze the stability and the pole placement of the IT2 fuzzy closed‐loop system formed by the IT‐2 T‐S fuzzy model and the IT‐2 fuzzy controller. This approach presents a simple closed mathematical form that provides the possibility to regulate the system under uncertain model parameters with closed‐loop design specifications as linear matrix inequality (LMI)‐based optimization problems without any assumptions about the membership functions. A simulation example is given to illustrate the effectiveness of the proposed IT‐2 fuzzy model‐based control approach. © 2019 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.

A novel approach for transient stability using interval arithmetic and optimization methods

“…A research effort has already been made to tackle the problem of stability of uncertain power systems, by using Fuzzy-based control, 6 selecting the critical parameters in the stability analysis to measure the level of uncertainty in the system, 7 robust control based on the change critical clearing time due to a small variation in the output active power, 8 or even assessing the stability using the maximum angle difference between two machines in the power system in a probabilistic scenario. 9 In this article, we differ from these articles as we developed a formulation that can include all possible combination of uncertainties present in a given power system and assess the transient stability in a feasible time.…”