Chaotic ferroresonance and its control with sliding mode technique for voltage transformer circuits: a case study of manual single phase switching operation in three-phase transmission system

Abstract

Chaotic ferroresonance is a nonlinear dynamic electrical phenomenon, which frequently occurs in a power system that comprises no-load saturable transformers, transmission lines (or cables) and single-phase switching with three-phase supply. This paper presents an extension of chaotic nonlinear bifurcation analysis on ferroresonance in a case study of manual single phase switching operation in three-phase transmission system. Analysis and classification methods are presented which provide chaotic analysis insights into the global behavior of ferroresonance. Analytical methods for nonlinear dynamic systems and MATCONT are used to exhibit characteristic curves such as a time-domain waveform, phase-plane, and bifurcation points.