Delay-Dependent Stability Analysis of Load Frequency Control System Using Rekasius's Substitution and Resultant Theory

摘要

The performance of power system is deteriorated due to the delay in the transmission of control signals from control center to generating unit in Load Frequency Control (LFC) scheme. In this paper, a new flexible methodology for stability analysis of time delayed LFC is presented. The existing stability analysis methods utilize time domain approach based on Lyapunov-theory and Linear Matrix Inequalities. The proposed method is an alternative approach based on frequency domain for analyzing the stability of the system. With the help of Rekasius's Substitution and Resultant Theory, the characteristic equation of the power system is investigated to compute the delay margin. Simulation studies were carried out to demonstrate the effectiveness of the proposed method in estimating the delay margin. The proposed method offers larger delay margin and takes less computation time as compared to the existing methods.