FAST PREISACH-BASED MAGNETIZATION MODEL AND FAST INVERSE HYSTERESIS MODEL

Fast computational methods for Preisach-based models and their inverse s are presented. The methods are based on a differential equation appr oach to computing a sequence of magnetization values due to a sequence of applied fields, The method used to speed up calculations can be ap plied to any Preisach model. The Della Torre, Oti, Kadar model was use d here as an illustration. Sequential computations for the magnetizati on model are substantially faster than for standard Preisach models wi th comparable output error, Computations for the inverse hysteresis mo del are even faster than for the model. Using the inverse, open loop c ontrol of magnetic hysteresis is simulated, showing hysteretic materia l tracking a desired magnetization in a linear manner for both major l oops and minor loops, with less than 2% error in inversion for the wav eforms used. The effect of misidentification of material parameters on operation of the inverse is also investigated through simulations.