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Fractional derivatives: from magnetic spectroscopy to high amplitude dynamic hysteresis in soft ferromagnetism

Abstract : Considering harmonic evolution of the magnetic induction field, we establish a link between a time domain, high amplitude, fractional hysteresis model and the frequency domain, weak amplitude, fractional, ferromagnetic Cole-Cole model. A relation between α (the fractional order), τ (the relaxing time) and ρ (the dynamic constant) can be set. Experimental results performed on a typical soft ferromagnetic (Fe-Si) validate the theory. Correct comparison simulations/measures are observed for both situations (weak and high amplitude excitation) conserving the same set of parameters (α, τ, ρ). The dynamic behavior of a ferromagnetic sample can be set under weak amplitude excitation using simple impedance LCR meter characterization and conserved for the simulation of high amplitude dynamic hysteresis cycles.
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https://hal.archives-ouvertes.fr/hal-02154172
Contributor : Benjamin Ducharne <>
Submitted on : Wednesday, June 12, 2019 - 5:35:09 PM
Last modification on : Wednesday, July 8, 2020 - 12:44:08 PM

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Benjamin Ducharne, B Zhang, Y Deffo, G. Sebald. Fractional derivatives: from magnetic spectroscopy to high amplitude dynamic hysteresis in soft ferromagnetism. COMPUMAG 2019, Jul 2019, Paris, France. ⟨hal-02154172⟩

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