Definition and Identification of an Improved Preisach Model for Magnetic Hysteresis Based on the KP operator

The Preisach approach is widely employed for modeling magnetic hysteresis. However, it is characterized by high complexity. When computational burden is critical, it can be discretized, but it yields to an inherently discontinuous output. To overcome this problem, the present paper applies the Krasnosel'skii-Pokrovskii operator to derive a discretized Preisach-like model for magnetic hysteresis having continuous input-output relationship. The proposed formulation allows exploiting the anti-symmetrical behavior of magnetic materials to further reduce complexity. The identification procedure, based on constrained optimization, is characterized by robustness and moderate computational cost. Experimental results show the high accuracy achieved in predicting the flux density waveforms.