Harmonic Balance Based Stability Domain Analysis of Period-1 Ferroresonance

Abstract

In an attempt to find regions at risk of ferroresonance, different timedomain simulations and analytical approaches were investigated on a one-phase laboratory transformer. A 2D bifurcation diagram based on a one-term harmonic balance method has been developed. It was shown that increase of core losses during over-voltages significantly affects the stability domain of period-1 ferroresonance. Time-domain simulations show that a static core loss model as a function of the maximum flux of the transformer predicts the second bifurcation point with enough accuracy. This modeling approach was incorporated in harmonic balance analysis. A comparison has been made between analysis and measurements.