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Dynamics of a RLC series circuit with hysteretic iron-core inductor

Author

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  • Nana, B.
  • Yamgoué, S.B.
  • Kemajou, I.
  • Tchitnga, R.
  • Woafo, P.

Abstract

Inductive devices with ferromagnetic core are widely used in many electronic circuits to store magnetic energy. They should be treated as nonlinear devices, and the nonlinearity of their characteristics arises from the dependence of inductance on current. Such inductors display saturation and hysteresis behaviors. In the present paper, we report a new mathematical model based on the experimental data of hysteresis for ferromagnetic core inductors. We used the model to determine analytically the expression of current in a RLC series circuit forced by an alternating source. Multi periodic and high amplitude chaotic signals are observed and good agreement is found between theoretical and experimental results.

Suggested Citation

  • Nana, B. & Yamgoué, S.B. & Kemajou, I. & Tchitnga, R. & Woafo, P., 2018. "Dynamics of a RLC series circuit with hysteretic iron-core inductor," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 184-192.
    • Handle: RePEc:eee:chsofr:v:106:y:2018:i:c:p:184-192
    DOI: 10.1016/j.chaos.2017.11.014
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    References listed on IDEAS

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    1. Ding, Dawei & Yan, Jie & Wang, Nian & Liang, Dong, 2017. "Pinning synchronization of fractional order complex-variable dynamical networks with time-varying coupling," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 41-50.
    2. Youmbi Fouego, D. & Dongmo, E.D. & Woafo, P., 2017. "Powering RLC load by an array of self-sustained oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 222-227.
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    Cited by:

    1. Nana, B. & Yamgoué, S.B. & Tchitnga, R. & Woafo, P., 2018. "On the modeling of the dynamics of electrical hair clippers," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 14-23.

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