Impact of Non-Ideal Excitations on Hysteresis Behavior in Ferromagnetic Materials

Core losses and hysteresis loops are essential for the design process of power magnetics. The losses can be split into three categories to explain the dissipated energy in the magnetic core, namely hysteresis, eddy currents, and residual losses. Among these, residual and eddy-current losses present challenges in precise modeling due to their complex manifesta- tions, involving waveform dependence, amplitude variation, fre- quency effects, and material, geometry, and mechanical property dependencies. As a basis for capturing these complexities, the usage of the inverse quasi-static Jiles-Atherton model extended to dynamic behaviour using fractional derivatives is implemented. Traditionally fractional derivatives enable the description of viscoelastic behavior of materials such as polymers. However, amongst the literature it has been demonstrated that the losses in ferromagnetism due to domain wall movements exhibit viscoelastic characteristics as well. By employing this extension, accurate modeling can be achieved across a wide frequency range and for sinusoidal excitation waveforms. To evaluate this approach, it is applied to MagNet, a recently developed large- scale open source database, which provides core losses and hysteresis loops data for Mn-Zn ferrites across a broad range of operating conditions.