Dynamic magnetic scalar hysteresis lump model, based on Preisach model quasi-static contribution extended with dynamic fractional derivation contribution

Bin Zhang (1) , Bhaawan Gupta (2, 3, 4) , Benjamin Ducharne (2) , Gael Sébald (3) , Tetsuya Uchimoto (3, 4)

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

Accurate and simple magnetic material law is necessary to correctly model complete electromagnetic systems. In this article, a new formulation based on the scalar quasi-static hysteresis Preisach model extended to dynamic behavior using fractional derivation dynamic contribution is proposed. The fractional contribution is solved using convolution which highly reduces the numerical issues. The order of the fractional derivation provide a new degree of freedom and allows to correctly obtain simulation results on a very large frequency bandwidth. By using such formulation, space discretization techniques (finite differences, finite elements) are avoided which are highly space and time consuming while keeping the global simulation results precise. The numerical implementation of the problem and some experimental validations are shown in the article.

Mots clés: electromagnetic modeling; magnetic hysteresis; fractional calculus

Domaines: Electromagnétisme

Bin Zhang, Bhaawan Gupta, Benjamin Ducharne, Gael Sébald, Tetsuya Uchimoto. Dynamic magnetic scalar hysteresis lump model, based on Preisach model quasi-static contribution extended with dynamic fractional derivation contribution. 21st international conference on the Computation of Electromagnetic Fields (COMPUMAG 2017), Jun 2017, Daejeon, South Korea. ⟨hal-01563579⟩