Chaos in power transformers including the core hysteresis

摘要

This paper presents the study of chaos in power transformers, including hysteresis effect in the core. In previous studies, [1,2,3], the hysteresis effect was not considered and the magnetic characteristics of the core were represented by polynomials. Since hysteresis causes loss of energy in a transformer and usually is represented by a resistor in the equivalent circuit, it seems to have a damping effect against any oscillation in the system. Furthermore, hysteresis plays more complicated role in system behavior by increasing non-linearity of the system. This can be illustrated by comparison between the simulation results of both cases (with and without hysteresis) considering various system parameters.