Hysteresis losses can be modeled by Steinmetz equation. However, a more accurate approach consists in simulating the actual hysteresis loops themselves. This chapter considers scalar hysteresis loop modeling. There are several models to describe hysteresis cycles. Among them, the most employed for electric engineering purposes are the Preisach’s model and the Jiles-Atherton (JA) model. When describing a minor loop, the JA model needs generally several cycles to reach an accommodation of the calculated variable. The identification of the model parameters can be performed in the same way as for the original JA procedure, which requires only few measurements. Purely alternating inductions are the alternating losses, origin, and the corresponding hysteresis loops can be considered by scalar hysteresis models. For rotational losses evaluation, vector hysteresis models are needed.