Anisotropic Vector Hysteresis Model Using an Isotropic Vector Play Model

A simple anisotropic vector hysteresis model is developed to represent 2D weakly anisotropic vector hysteretic property. An isotropic vector play model is identified from azimuthally averaged vector property of anisotropic material. An anisotropy matrix is multiplied to the isotropic vector play model to represent anisotropy. Simulations for alternating and rotational flux conditions show that the anisotropy matrix improves the representation of vector hysteretic properties for a non-oriented silicon steel sheet.