New mathematical approach using fractional derivatives to take into account excess losses in magnetic materials

Abstract : Accurate prediction of magnetic circuit dynamical behaviour constitutes a fundamental problem for the design and the optimization of electromagnetic devices. The representation of dynamical effects due to eddy currents with a macroscopic model is usually well admitted and adopted by researchers and electrical engineers. On the other hand, macroscopic modelling of microscopic dynamical effects due to wall motions which induce the so called excess losses, always exhibits interests of various research workers. This paper proposes a new mathematical approach for the modelling of the dynamical microscopic effects. This approach is based on a fractional derivative formulation.
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Marie-Ange Raulet, Benjamin Ducharne, Daniel Guyomar. New mathematical approach using fractional derivatives to take into account excess losses in magnetic materials. 19th Soft Magnetic Materials Conference, Sep 2009, Turin, Italy. ⟨hal-00411166⟩

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