Generation of Bifurcation Diagrams for Ferroresonance Characterization Using Parallel Computing

Abstract

Ferroresonance is a complex phenomenon that involves the association of nonlinear magnetizing inductances and capacitances. This nonlinear phenomenon can be initiated in many different ways, which makes its characterization very difficult. Some recent works have shown how bifurcation diagrams can be advantageously used for predicting the phenomenon at its different stages and finding safety zones for parameter selection. The present work expands the scope of some tools originally developed for assessing ferroresonance behavior by means of 3D bifurcation diagrams. The main goal of this work is to propose the application of parallel computing to speed up the generation of bifurcation diagrams.

Diagnostic approach in assessment of a ferroresonant circuit

“…In many ferroresonance studies the nonlinear coil core is represented by a single magnetization curve [11,[38][39][40][41], not taking into account a hysteresis phenomenon. Because of its complexity, the hysteresis itself is then approximated through a determination of the power losses [42,43].…”

“…The nature of a phenomenon described above and referred to in many research papers [4,[8][9][10][11][12][13][14][15][16] leaves no doubt as to the constant need of studying low-loss circuits containing capacitors and saturable inductors. Taking into account their tendency to become prone to ferroresonance condition, a new and interesting approach to the problem focuses on developing of new detection, diagnostic and monitoring procedures.…”