Parallel Ferroresonance Circuit Analysis by Chua-type Magnetization Model

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  • Saito Yoshifuru
    Graduate School of Hosei University
  • Marinova Iliana
    Department of Electrical Apparatus, Technical University of Sofia
  • Endo Hisashi
    Institute of Fluid Science, Tohoku University / Currently, Power & Industrial Systems R&D Laboratory, Hitachi Ltd.

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This paper studies the nonlinear response of a parallel ferroresonant circuit. To carry out a transient analysis 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 of Euler method in order to extract the chaotic characteristics. As a result, it is clarified that the chaotic behavior in the ferroresonant circuit is greatly concerned with the magnetic aftereffect of ferromagnetic materials.

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