Reduce vector dynamic hysteresis model, for lump model applications or for integration in space discretized simulations

Benjamin Ducharne (1, 2) , B Zhang (3) , Y.A. Tene Deffo (4) , G. Sebald (5)

1 LGEF - Laboratoire de Génie Electrique et Ferroélectricité
2 Purdue University [West Lafayette]
3 Shandong University
4 University of Buéa
5 ELyTMaX

Even if vector dynamic hysteresis models have been proposed and studied since many years, the so-called ideal model (accurate, fast, and based on less parameters and memory allocation …) is still missing. Even if progresses in computer science have allowed large improvement in the numerical simulation domain, high non-linearity property of vector dynamic hysteresis is still a challenge. In this article, we described a non-congruent vector dynamic hysteresis model based on a dry-friction type equation quasi-static contribution extended to the dynamic behavior using fractional derivatives. The model is fast, accurate and particularly well adapted to space discretized simulations.

Mots clés: Vector hysteresis model; dry-friction equation; fractional derivatives

Domaines: Sciences de l'ingénieur [physics]; Matériaux

Benjamin Ducharne, B Zhang, Y.A. Tene Deffo, G. Sebald. Reduce vector dynamic hysteresis model, for lump model applications or for integration in space discretized simulations. COMPUMAG 2019, Jul 2019, Paris, France. ⟨hal-02154174⟩