Dynamic hysteresis lump model including fractional operators for the incremental permeability nondestructive testing

Benjamin Ducharne (1) , Bhaawan Gupta (1, 2, 3) , Gaël Sebald (2) , Tetsuya Uchimoto (2, 3)

1 LGEF - Laboratoire de Génie Electrique et Ferroélectricité
2 ELyTMaX
3 IFS - Institute of Fluid Science

Magnetic Incremental Permeability (MIP), represents the effective permeability for a small alternating field superimposed on a larger steady field. A dynamic lump scalar hysteresis model including fractional operator is proposed here to model MIP. The model considers both tangent excitation field H and permanent mechanical stress T as excitation of the material. Numerical results and simulation parameters (fractional order) allow to clarify the MIP mechanisms and to define degradation threshold level for industrial applications.

Mots clés: ferromagnetic materials; Magnetic incremental permeability; hysteresis

Domaines: Electromagnétisme

Benjamin Ducharne, Bhaawan Gupta, Gaël Sebald, Tetsuya Uchimoto. Dynamic hysteresis lump model including fractional operators for the incremental permeability nondestructive testing. 18th International Symposium on Applied Electromagnetics and Mechanics (ISEM 2017), Sep 2017, Chamonix, France. ⟨hal-01593395⟩