A Vector Magnetization Model for Single Crystal Based on Magnetic Domain Theory

This paper presents an anisotropic anhysteresis magnetization model that incorporates both the evolution of elementary magnetic domains and the influence of crystallographic orientation. Under low field conditions, the domain distribution is determined based on the assumption that domains are confined to crystallographic easy axes. To capture the domain rotation behavior observed at higher fields, an additional easy state aligned with the external magnetic field direction is introduced. The high field domain configuration is obtained by minimizing the total free energy. The model enables quantitative analysis of 180° and 90° domain wall motion, as well as domain rotation based on elementary domain distributions. Preliminary verification of the proposed model is provided through comparisons with experimental measurements of grain oriented electrical steel under various magnetization directions, demonstrating its ability to characterize the anisotropic magnetization behavior of textured magnetic materials.