Newton-Raphson method and fixed-point technique in finite element computation of magnetic field problems in media with hysteresis

IEEE Transactions on Magnetics

Volumn 35, Issue 3 PART 1, 1999, Pages 1398-1401

  Saitz, Július ^a  

^a AALTO UNIVERSITY   (Finland)

Author keywords

Finite element methods; Iterative methods; Magnetic hysteresis; Non linear differential equations; Preisach model

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; CURRENT DENSITY; DIFFERENTIAL EQUATIONS; FERROMAGNETIC MATERIALS; FINITE ELEMENT METHOD; ITERATIVE METHODS; MAGNETIC FIELDS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS;

FIXED POINT TECHNIQUE; MAGNETIC VECTOR POTENTIAL; NEWTON-RAPHSON METHOD; NONLINEAR DIFFERENTIAL EQUATIONS; PREISACH MODEL;

MAGNETIC HYSTERESIS;

EID: 0033121777     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/20.767225     Document Type: Article

References (21)

1. G. Bertotti, "General properties of power losses in soft ferromagnetic materials," IEEE Trans. Mag., vol. 24, pp. 621-630, January 1988.
2. F. Fiorillo and A. Novikov, "An improved approach to power losses in magnetic laminations under nonsinusoidal induction waveform," IEEE Trans. Mag., vol. 26, pp. 2904-2910, September 1990.
3. A. Iványi, Hysteresis models in electromagnetic computation, Budapest: Akadémiai Kiadó, 1997.
4. I. D. Mayergoyz, Mathematical models of hysteresis, New York: Springer-Verlag, 1991.
5. P. P. Silvester and R. L. Ferrari, Finite elements for electrical engineers, Cambridge: Cambridge University Press, 1991, pp. 181-185.
6. A. Bergqvist, On magnetic hysteresis modeling, Doctoral thesis, Stockholm: Royal Institute of Technology, Electric Power Engineering, 1994.
7. F. Henrotte, A. Nicolet, F. Delincé, A. Genon and W. Legros, "Modeling of Ferromagnetic Materials in 2D Finite Element Problems using Preisach's Model," IEEE Trans. Mag., vol. 28, pp. 2614-2616, September 1992.
8. O. Ninet, M. A. Peccolo, H. Fraisse and J. P. Masson, "Experimental validation of a 2-D magnetostatic field calculation including hysteresis," in Proceedings of the 3rd International Workshop on Electric and Magnetic Fields, Liege, Belgium, 6-9 May 1996, pp. 435-440.
9. P. J. Leonard, D. Rodger, T. Karagular and P. C. Coles, "Finite element modelling of magnetic hysteresis," IEEE Trans. Mag., vol. 31, pp. 1801-1804, May 1995.
10. S. R. Naidu, "Time domain model for the ferromagnetic core, including the effects of hysteresis and eddy currents," IEE Proc.-A, vol. 138, pp. 44-50, January 1991.
11. G. Miano, C. Serpico, L. Verolino and C. Visone, "Comparison of different hysteresis models in FE analysis of magnetic field diffusion," IEEE Trans. Mag., vol. 31, pp. 1789-1792, May 1995.
12. A. Boucetta, A. Jammal and G. Grellet, "Computing ferrite core losses at high frequency by finite elements method including temperature influence," IEEE Trans. Mag., vol. 30, pp. 3733-3736, September 1994.
13. L-L. Rouve, F. Ossart, T. Waeckerlé and A. Kedous-Lebouc, "Magnetic flux and losses computation in electrical laminations," IEEE Trans. Mag., vol. 32, pp. 4219-4221, September 1996.
14. M. Chiampi, D. Chiarabaglio and M. Repetto, "A Jiles-Atherton and fixed-point combined technique for time periodic magnetic field problems with hysteresis," IEEE Trans. Mag., vol. 31, pp. 4306-4311, November 1995.
15. O. Bottauscio, D. Chiarabaglio, M. Chiampi and M. Repetto, "A hysteretic periodic magnetic field solution using Preisach model and fixed-point technique," IEEE Trans. Mag., vol. 31, pp. 3548-3550, November 1995.
16. O. Bottauscio, M. Chiampi and M. Repetto, "Finite element analysis of iron loss behaviour: effect of frequency and lamination thickness," in Proceedings of the 3rd International Workshop on Electric and Magnetic Fields, Liege, Belgium, 6-9 May 1996, pp. 417-422.
17. A. Boglietti, O. Bottauscio, M. Chiampi, M. Pastorelli and M. Repetto, "Computation and measurement of iron losses under PWM supply conditions," IEEE Trans. Mag., vol. 32, pp. 4302-4304, September 1996.
18. P. Alotto, P. Girdinio and P. Molfino, "A 2D finite element procedure for magnetic analysis involving non-linear and hysteretic materials," IEEE Trans. Mag., vol. 30, pp. 3379-3382, September 1994.
19. S. Kurz, J. Fetzer and G. Lehner, "Application of the finite element method and the vector-Preisach-model for the calculation of 2-dimensional magnetostatic fields in media with hysteresis," Archiv für Elektrotechnik, vol. 76, pp. 405-415, 1993 (in German).
20. V. Ionita, B. Cranganu-Cretu and D. Ioan, "Quasi-stationary magnetic field computation in hysteretic media," IEEE Trans. Mag., vol. 31, pp. 3548-3550, May 1996.
21. M. Chiampi, M. Repetto and D. Chiarabaglio, "An improved technique for nonlinear magnetic problems," IEEE Trans. Mag., vol. 30, pp. 4332-4334, November 1994.