Dynamic Magnetic Scalar Hysteresis Lump Model Based on Jiles–Atherton Quasi-Static Hysteresis Model Extended With Dynamic Fractional Derivative Contribution

Accurate and simple magnetic material law is necessary to correctly model the complete electromagnetic systems. In this paper, a new formulation based on the scalar quasi-static hysteresis Jiles-Atherton model extended to dynamic behavior using fractional derivative dynamic contribution is proposed. The fractional contribution is solved using convolution which highly reduces the numerical issues. The order of the fractional derivation provides a new degree of freedom and allows obtaining correct simulation results on a very large frequency bandwidth. By using such a formulation, high-memory and time-consuming space discretization techniques (finite differences and finite elements) are avoided while keeping the global accurate simulation results.