Dynamics on ferroresonant circuit exhibiting chaotic phenomenon

This paper studies dynamics of a series ferroresonant circuit. A Chua type magnetization model derives a state variable equation with nonlinear parameters. Backward Euler method with adaptive stepsize control performs a transient analysis. Modal analysis to the state variable equation is also carried out in each calculation period of the Euler method in order to obtain the condition of internal system. Finally, it is clarified that the characteristic values vary on the regular loci although the chaotic phenomenon is exhibiting. The relation between the time constants and operating frequencies is shown to clarify the ferroresonant mode.