Simulated annealing optimization algorithm for power systems quality analysis

Abstract

This article presents a new application of Simulated Annealing (SA) optimization algorithm for harmonics and frequency evaluation, for power system quality analysis and frequency relaying. An objective function based on the sum of the squares of the error is to be minimized to identify the amplitude and phase angle of each harmoic component as well as the fundamental frequency of the voltage signal. The problem formulated is a highly nonlinear optimization problem and does not need any approximation such as Taylor's series expansion. The proposed algorithm uses the digitized samples of the voltage signal at the place where the power quality and frequency relaying are to be implemented. The proposed algorithm has an adaptive cooling schedule and a variable discretization to enhance the speed and convergence of the original SA algorithm. The proposed algorithm is tested on simulated data. Effects of different parameters on the estimated parameters are studied. It is shown that the proposed algorithm is able to identify harmonics spectrum in the signal.