Magnetomechanical Model for Hysteresis in Electrical Steel Sheet

A coupled magnetomechanical model for hysteresis in an electrical steel sheet is presented. The foundation of the model developed is the classical Sablik-Jiles-Atherton (SJA) model. A comprehensive model for the stress-dependent magnetostriction is also proposed and implemented in the SJA model. Improvements in the SJA model as well are proposed and validated with simultaneous measurements of magnetostriction, magnetic field, and flux density. The measurements were performed on a single electrical steel sheet under various levels of stress (-35 to 100 MPa). The proposed model was found to adequately model the permeability change and the local bowing of the B-H-loop due to stress.