Stability Analysis of Nonlinear Oscillations for AC-Fed Electric Arc Furnaces in Context of Bifurcation Dynamics

Abstract

Bifurcation theory has been widely used to investigate dynamic behaviours of nonlinear components, and to make analytical answers on the formation of synchronous resonance, chaotic oscillations and ferroresonance oscillation phenomenon in electrical engineering. Bifurcation theory is also applied to perform stability analysis in nonlinear systems. This study aims to identify formations of nonlinear oscillations produced by AC-Fed Electric Arc Furnaces, in regard with bifurcation dynamics on the system. During the study, possible roles of small parameter changes of the sample arc furnace system around bifurcation points have been traced over time series analysis, phase plane analysis and bifurcation diagrams. A wide collection of useful dynamic analysis procedures for the exploration of studied arc furnace dynamics has been handled through the AUTO open-source algorithms.