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This paper studies nonlinear phenomena caused by ferromagnetic materials. To represent nonlinear properties of ferromagnetic materials in parallel ferroresonant circuit, we apply Chua-type magnetization model to an inductance exhibiting saturation and hysteretic nonlinear properties of ferromagnetic materials, deriving a state variable equation and solutions by the backward Euler method with automatic modification. The characteristic values of the state transition matrix are calculated in each calculation step by Euler method. As a result, it is clarified that the trajectories of characteristic values in state transition matrix reveal a difference between the normal and ferro-resonance phenomena in the ferroresonance circuit.

Nonlinear Electric Circuit Analysis by Visualization of Characteristic Values