Identification and Inversion of Magnetic Hysteresis for Sinusoidal Magnetization

The sinusoidal magnetization of a sample material is difficult to achieve, since the magnetic hysteresis poses a strong non-linearity. In order to find the proper input voltage, a feed-forward strategy with a hysteresis model identification and inversion is proposed. The classical Preisach model in the Everett formulation is used for this purpose and eddy current effects are also included. A new heuristic inversion offering equal performance but avoiding a time-consuming identification procedure is also proposed. After an initial identification procedure the model, its inverse, the heuristic inversion, and the proper input voltages for a desired sinusoidal magnetization are computed. The resulting application achieves accurate results, is easy to use, supplies the user with transparent and clear information, and adds the flexibility for automation or remote control.

[1]  B. Phelps,et al.  Macroscopic models of magnetization , 2000 .

[2]  R. Ben Mrad,et al.  On the classical Preisach model for hysteresis in piezoceramic actuators , 2003 .

[3]  M. L. Hodgdon,et al.  Mathematical theory and calculations of magnetic hysteresis curves , 1988 .

[4]  M. Hodgdon Applications of a theory of ferromagnetic hysteresis , 1988 .

[5]  Khai D. T. Ngo,et al.  A Hammerstein-based dynamic model for hysteresis phenomenon , 1997 .

[6]  Gary W. Johnson,et al.  LabVIEW Graphical Programming , 1994 .

[7]  János Füzi,et al.  Computationally efficient rate dependent hysteresis model , 1999 .

[8]  Ridha Ben Mrad,et al.  Dynamic modeling of hysteresis in piezoceramics , 2001, 2001 IEEE/ASME International Conference on Advanced Intelligent Mechatronics. Proceedings (Cat. No.01TH8556).

[9]  I. Mayergoyz,et al.  On numerical implementation of hysteresis models , 1985 .

[10]  W. M. Rucker,et al.  Identification procedures of Preisach model , 2002 .

[11]  Bernard D. Coleman,et al.  On a class of constitutive relations for ferromagnetic hysteresis , 1987 .

[12]  G. Bertotti Dynamic generalization of the scalar Preisach model of hysteresis , 1992, 1992. Digests of Intermag. International Magnetics Conference.

[13]  Chia-Hsiang Menq,et al.  Hysteresis compensation in electromagnetic actuators through Preisach model inversion , 2000 .

[14]  Hartmut Janocha,et al.  Compensation of hysteresis in solid-state actuators , 1995 .

[15]  Isaak D. Mayergoyz,et al.  Dynamic Preisach models of hysteresis , 1988 .