Time-domain finite element analysis of ferromagnetic hysteresis in three dimensions

Nonlinear ferromagnetic hysteresis analysis is conducted using the three-dimensional time-domain finite element method combined with the inverse Jiles-Atherton (JA) vector hysteresis model. The second-order wave equation is formulated through the magnetic vector potential in the time domain. To incorporate the nonlinear JA model, the time-domain wave equation is discretized and solved by employing the polarization method and the Newmark-β scheme. The capability of the proposed method is demonstrated by simulating the physical process of demagnetization, and the magnetic remanence in the ferromagnetic material is predicted.