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

Nana, B.; Yamgoué, Serge Bruno; Kemajou, I.; Tchitnga, Robert; Woafo, P.

doi:10.1016/j.chaos.2017.11.014

Cited by 6 publications

(3 citation statements)

References 12 publications

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“…is the induced back electromotive force. The inductance of the inductor containing the ferromagnetic material is given by the mathematical expression (2) [Nana et al, 2017]:…”

Section: Equation Of the Electrical Partmentioning

confidence: 99%

“…Using the formalism developed in Nana et al, (2017), the approximate oscillatory states of period-T are expressed as…”

Section: Mathematical Analysis and Expression Of The Oscillations Amp...mentioning

confidence: 99%

“…This nonlinear relationship depends on several factors among which the chemical constitution and structure of the magnetic material, the technological process for its fabrication, and the way the material is used. The nonlinear characteristics of magnetic materials exhibits hysteresis [Nana et al, 2017].…”

Section: Introductionmentioning

confidence: 99%

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Abundant chaos in a mixer model with a hysteretic iron core inductance

Aminou,

Domguia,

Abo

et al. 2023

Preprint

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Industrial mixers are equipment used in food, drug, chemical and semiconductor industries. Chaotic mixing has been proposed to improve the degree of homogeneity and reduce the energy consumption. This paper deals with dynamical studies of a mixer model with complex rotational movements. The complexity is generated by an inductance with hysteretic characteristics. Mathematical methods and numerical simulations are used to display the different dynamical states which are period-nT, pulse, bursting and chaotic signals. Good agreement is found between the mathematical and numerical results. In general, it is found that chaos is highly abundant in the model.

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“…is the induced back electromotive force. The inductance of the inductor containing the ferromagnetic material is given by the mathematical expression (2) [Nana et al, 2017]:…”

Section: Equation Of the Electrical Partmentioning

confidence: 99%

“…Using the formalism developed in Nana et al, (2017), the approximate oscillatory states of period-T are expressed as…”

Section: Mathematical Analysis and Expression Of The Oscillations Amp...mentioning

confidence: 99%