A simple scalar model for magnetic hysteresis

In the computation of magnetic fields for rotating electric machines, transformers, and reactors, the hysteresis nonlinearity sometimes has to be taken into account. Nowadays, many scalar hysteresis models are known for one-directional fields. The main problem with using these models is that the models are complicated and they need much computation time. A new simple version of the scalar hysteresis model is presented for different computation tasks where the magnetic field is computed or where the magnetic state tracing of a core is needed. The major and minor hysteresis loops can be simulated. It is possible to make computations starting from the field strength as well as from the flux density. The model is based on the limiting hysteresis cycle and this measured cycle is used as the parametric data for the identification of ferromagnetic material.