Fast implementation of scalar and vector Preisach hysteresis models

The main goal of this research is to develop fast scalar and vector Preisach hysteresis models. This research presents two fast techniques, based on the differential equation method and the cobweb method to calculate the magnetic response of the magnetic media for the applied magnetic fields suitable for real time applications. The Complete Moving Hysteresis (CMH) model, a state-dependent reversible model selected in this research, provides a realistic and accurate characterization of the magnetic media. Among many reversible magnetization models the state-dependent reversible magnetization model is more accurate and realistic since it describes the reversible magnetization as a function of magnetization and magnetic state of hysterons. The CMH model also accurately predicts the variation in zero-field susceptibility with magnetization. Two fast implementations, the differential CMH model and the cobweb CMH model are presented in this research. A new identification procedure for the CMH model is also developed.; The differential CMH model is developed for media that has Gaussian distributions for the interaction and critical fields. This model is represented by a set of first order nonlinear ordinary differential equations. The susceptibility is computed using these differential equations and can be integrated to obtain the magnetization. The cobweb CMH model provides a simple way to perform numerical integration and is commonly carried out using a uniform grid defined in the Preisach plane. The key features of the cobweb technique are: a uniform change of magnetization when the operative field reaches each cell, and the central symmetry of the cobweb grid, which improve both the accuracy, and the speed of the required integration. The computational speed, accuracy and the guaranteed convergence make these two models even more useful for real time applications.; This research includes the development of fast inverse CMH models based on the differential equation method and the cobweb method. The differential inverse CMH model is simply derived from the differential CMH model. This model is also applicable to media that do not have Gaussian distributions in the critical and interaction fields where the total susceptibility cannot be solved in analytical closed form. The inverse CMH model can be used to accurately model nonlinear behavior of ferromagnetic material based actuators.; This research also consists of the development of a coupled-hysteron model, the Reduced Vector Preisach model (RVPM), based on the Simplified Vector model (SVPM) where the Preisach model is placed along the principal axes of the system. The RVPM possesses the saturation and the loss properties required for vector models. This vector model provides computational speed and increased flexibility for modeling the material properties of real media. The RVPM computes the vector magnetization using the integration of the product of a state vector and a Preisach function. The state vector is computed using the simplified selection rules determined by the applied field. Unlike the SVPM, the RVPM does not require rotational correction, hence that makes it possible to obtain an analytical closed form solution for the magnetic susceptibility.