Energy considerations in a micromagnetic hysteresis model and the Preisach model

Abstract

Finding the relations between the microstructural material parameters and the macroscopic hysteresis behavior is indispensable in the design of ferromagnetic materials with minimal (hysteresis) losses. Micromagnetic hysteresis simulations enable a rigorous and structured investigation of these relations since in the numerical model each material parameter can be altered independently. This paper describes a procedure to extract the Preisach distribution function, quantifying the macroscopic hysteresis properties, from micromagnetic simulations incorporating the materials' microstructure. Furthermore, the instantaneously added, stored and dissipated energy while running through the hysteresis loop as described in the macroscopic Preisach model and in the micromagnetic hysteresis model are compared, evidencing a very good agreement. Moreover, using the micromagnetic model, the energy rearrangements between the different micromagnetic interaction terms is studied at each time point of the hysteresis loop. It is concluded that the micromagnetic hysteresis model is a valuable tool in the study of hysteresis properties and loss mechanisms in ferromagnetic materials.

Review of Hysteresis Models for Magnetic Materials

“…The Preisach model is mostly referred to as a phenomenological model [25][26][27][28][29][30]. However, it could also be linked to statistical mechanics since it is based on the way of seeing it as built by several consisting parts [31], such as models where the Preisach model is adopted with pseudo-particles based on physical models [32].…”

Application and Verification of a Dynamic Vector-Hysteresis Model

“…Many of the currently used hysteresis models are fundamentally scalar models and are solely vectorized to 2-D or 3-D quite artificially [3], [4]. An alternative approach treats the problem directly at the microscopic level and uses multi-scale techniques [5] to trace the microscopic information over to the macroscopic level. The microscopic scale is that of Weiss domains and Bloch walls.…”