Stabilization for Damping Multimachine Power System with Time-Varying Delays and Sector Saturating Actuator

Linlin Ma,Jian Chen,Yanping Liang

doi:10.1155/2016/9191073

Abstract

This paper studies the stabilization problem for damping multimachine power system with time-varying delays and sector saturating actuator. The multivariable proportional plus derivative (PD) type stabilizer is designed by transforming the problem of PD controller design to that of state feedback stabilizer design for a system in descriptor form. A new sufficient condition of closed-loop multimachine power system asymptomatic stability is derived based on the Lyapunov theory. Computer simulation of a two-machine power system has verified the effectiveness and efficiency of the proposed approach.

Highlights

To cope with the increasing demand for quality electric power, excitation control, power system stabilizer (PSS), and other power system controllers are playing important roles in power system stability and maintaining dynamic performance
This paper studies the stabilization problem for damping multimachine power system with time-varying delays and sector saturating actuator
A decentralized plus derivative (PD) control scheme has been proposed to deal with the time-delay multimachine power system with sector saturating actuator

Summary

Introduction

To cope with the increasing demand for quality electric power, excitation control, power system stabilizer (PSS), and other power system controllers are playing important roles in power system stability and maintaining dynamic performance. Multimachine power system with time-varying delay and sector saturating actuator [19] is a complex interconnected large-scale system that is composed of many electric devices and mechanical components with a better description of real world. The state feedback control problem for such a system is addressed by [19] based on the LMI methods. The purpose of this paper is to design a PD controller for damping multimachine power systems with time-varying delay and sector saturating actuator. Compared with the existing LMI methods in [19], our method introduces more relax matrix variables Rn denotes n-dimensional Euclidean space; the superscripts −1 and T denote the matrix inverse and transpose, respectively; X > 0 (X ≥ 0) means that X is positive definite (positive semidefinite); the star ∗ denotes the symmetric term in a matrix

Problem Formulation and Preliminaries

Main Results

V1 T1 L

Simulation

Conclusion