Anisotropic Congruency-Based Vector Hysteresis Model Applied to Non-Oriented Laminated Steels

A new approach is proposed to model the hysteretic behavior of magnetic materials in 2-D electromagnetic analyses. A scalar congruency-based hysteresis model is developed using the first-order reversal curves (FORCs) and verified by comparing the model results with quasi-static measurements. An anisotropic scalar model is obtained from two scalar hysteresis models using FORCs measured parallel and perpendicular to the material rolling direction. The established anisotropic scalar model is employed as the main building block to determine the vector hysteresis model based on the Mayergoyz vector hysteresis generalization. The obtained vector hysteresis model is coupled with a finite-element solver to analyze the three-limbed transformer core investigated in the TEAM problem number 32. The comparison between the simulation results and experimental data confirms the accuracy of the proposed model with an rms flux density error of less than 0.07 T.