Application of simplified vector Preisach model to vector magnetizing process

A series of measurements has shown that when a material is increasingly magnetized in a given direction, the magnetization perpendicular to this direction decreases to zero. A simplified vector Preisach model, an example of a coupled-hysteron model, has been introduced that incorporates this property into the vector model. In addition, this model satisfies the saturation property and the loss property. It can correctly compute scalar loops, since it is based upon the moving model, which properly corrects the congruency property; and it can incorporate the accommodation model and the aftereffect model to correct the deletion property. In three dimensions, the vector magnetization is computed from the integration of the product of a state vector, Q, and a Preisach function, p, both of which are defined in a six-dimensional Preisach space. The Q's are compared following selection rules determined by the applied field. This paper illustrates the calculation procedures for a complex magnetizing process. A material sample is subjected to a saturating field that is then reduced to zero. The field is then increased in an arbitrary direction while the vector magnetization is measured. Since the model parameters are only determined along the principal axes, the predictive capability of the model is thereby demonstrated. The predicted results of the model compare favorably to the results of experimental measurements.