Efficient implementation of vector Preisach-type models using orthogonally coupled hysteresis operators

Vector hysteresis models are regarded as helpful tools that can be utilized in the simulation of multidimensional field-media interactions. Recently, substantial efforts have been focused on the refinement of vector Preisach-type models of hysteresis. The purpose of this paper is to present a computationally efficient vector Preisach-type hysteresis model constructed from only two scalar models having orthogonally inter-related elementary operators. Such a model is implemented via a linear neural network (LNN) fed from the outputs of discrete Hopfield neural network (DHNN) blocks having step activation functions. With this DHNN-LNN configuration, it is possible to carry out the identification process using well-established widely available algorithms. Details of the model, its identification, and experimental testing are presented.

[1]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[2]  Kenneth Levenberg.  A METHOD FOR THE SOLUTION OF CERTAIN NON – LINEAR PROBLEMS IN LEAST SQUARES , 1944 .

[3]  D. Marquardt.  An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[4]  G. Friedman,et al.  Generalization of the vector Preisach hysteresis model , 1991 .

[5]  A. Belahcen,et al.  Vibrations of rotating electrical machines due to magnetomechanical coupling and magnetostriction , 2006, IEEE Transactions on Magnetics.

[6]  Amr A. Adly,et al.  A new vector Preisach‐type model of hysteresis , 1993 .

[7]  E. Della Torre,et al.  Fast Preisach-based vector magnetization model , 2001 .

[8]  T. R. Koehler.  A computationally fast, two-dimensional vector hysteresis model , 1987 .

[9]  Kishan G. Mehrotra,et al.  Elements of artificial neural networks , 1996 .

[10]  Amr A. Adly,et al.  A new isotropic vector Preisach-type model of hysteresis and its identification , 1993 .

[11]  Daniele Davino,et al.  A new class of Preisach-type isotropic vector model of hysteresis , 2004 .

[12]  M. Enokizono.  Vector magneto-hysteresis E&S model and magnetic characteristic analysis , 2006, IEEE Transactions on Magnetics.

[13]  I. Mayergoyz,et al.  Accurate Modeling Of Vector Hysteresis Using A Superposition Of Preisach-type Models , 1997, 1997 IEEE International Magnetics Conference (INTERMAG'97).

[14]  Amr A. Adly,et al.  Identification and testing of an efficient hopfield neural network magnetostriction model , 2003 .

[15]  Amr A. Adly,et al.  Identification of vector Preisach models from arbitrary measured data using neural networks , 2000 .

[16]  D. Jiles,et al.  Theory of ferromagnetic hysteresis , 1986 .

[17]  Mayergoyz,et al.  Mathematical models of hysteresis. , 1986, Physical review letters.

[18]  C. Visone,et al.  A new vector model of magnetic hysteresis based on a novel class of play hysterons , 2003, Digest of INTERMAG 2003. International Magnetics Conference (Cat. No.03CH37401).