Modeling of the Electric Arc Furnaces using Chaos Theory and Control of Power Quality Parameters

Chaos-Based modeling of Electric Arc Furnaces (EAF)in order to control the power quality parameters is the purpose of this paper. Electric arc furnaces represent one of the majorsources of perturbations for the feeding system. For modeling the electric arc furnace, at first, the arc is modeling using current-voltage characteristic of time-domain, then the random characteristic has been taken into account by modulating the arc voltage by a chaotic attractor. This paper deals with the problem of the arc modeling using three well-known chaotic attractors (Rössler, Chua, and Lorenz) attractors. A new tuning procedure is carried out to determine the most adequate parameters of the attractors to model the arc furnace by imperialist competitive algorithm (ICA). Finally two methods (time delay feedback controller (TDFC), adaptive controller) for controlling electrode in electric arc furnaces are proposed. Then, the power quality indices before and after applying controller are compared to show the effectiveness of the proposed idea.