A new modeling methodology for frequency-dependent hysteresis from the perspective of phase lag and amplitude attenuation

The hysteresis model has long been widely discussed to describe the dynamic behavior of magnetic materials or devices. Most models solve the hysteresis with the completely absent or present phase lags of the critical points at various frequencies. However, the variation of the hysteresis loop with the frequency is not effectively demonstrated as the measurement shows that the phase lags are changing with the frequency. This is assumed to be caused by neglecting the connection between the loop and time-domain curve, which is necessary to determine the form of the time-dependent loss. Jiles-Atherton model is taken here as an example and the connections under different frequencies are revealed from analyzing the model errors. According to the test data of the Terfenol-D material, a new methodology is proposed to consider the influence of the frequency-dependent loss on the hysteresis loop. The methodology idea is derived from the viewpoint of phase lag and amplitude attenuation of the magnetization caused by the loss. Meanwhile, the equation is established built on the viscoelastic damping assumption to naturally realize the phase lag of all the points. From the qualitative analysis, the proposed model removes the limitations in computing the loop widths and phase lags at different frequencies. Furthermore, the model is validated as it corresponds well with the experimental results. With strong description ability, clear parametric influence and simple expression, the proposed model may become a substitute for classic frequency-dependent hysteresis models.