Rotational magnetizations of an Ni-Fe alloy are simulated using two different computer modeling approaches, physical and phenomenological. The first one is a model defined using a single hysteron operator based on the Stoner and Wohlfarth theory and the second one is a model based on a suitable system of neural networks. The models are identified and validated using experimental data, and, finally, an example of their application for a finite-element analysis is given.

The single hysteron model is identified to reconstruct the magnetization processes of a grain oriented electrical steel and it is implemented in a finite element scheme. The model involves the Zeeman energy and the anisotropy energy of the material and an interaction field to take into account others terms such as the magneto-elastic energy, the exchange energy, inclusions, and crystallographic discontinuities. The interaction field is evaluated experimentally using a round rotational single sheet tester, where a disk sample of the material is excited for several rotational magnetization processes. Details about the finite element scheme, the computational time and the memory allocations involved in the simulations are presented and discussed.