Frequency scaling of excess hysteresis losses

The existence of excess hysteresis losses is discussed. It is emphasized that the excess hysteretic losses are caused by some intrinsic nonlinear dynamics underlying bistable (multistable) behavior associated with hysteresis. By using the mathematical formalism of the Preisach model of hysteresis and some known, results on nonlinear bistable dynamics, it is demonstrated that for small frequencies excess hysteretic losses are increased with frequency as /spl omega//sup (2/3)/. The universality of this result is stressed through numerical experiments.