**Abstract**

In this chapter we recall the well-known hysteresis Preisach model, widely employed in the area of magnetism. Some applications of this model in electrical engineering are also described, with a specific focus on the estimation of electromagnetic losses in electrical machines, the simulation of magnetizationdemagnetization processes arising in magnetic particle inspection, and the mathematical modeling of batteries for electric vehicles.

**Keywords:** magnetic hysteresis, Preisach model, electromagnetic losses, magnetic particle inspection, batteries for electric vehicles
