Locally convergent fixed-point method for solving time-stepping nonlinear field problems

IEEE Transactions on Magnetics

Volumn 43, Issue 11, 2007, Pages 3969-3975

  Dlala, Emad ^a   Belahcen, Anouar ^a   Arkkio, Antero ^a  

^a AALTO UNIVERSITY   (Finland)

Author keywords

Finite elements; Fixed point; Iteration; Magnetic field; Nonlinear material; Time stepping

Indexed keywords

FINITE ELEMENTS; FIXED POINT; ITERATION; NONLINEAR MATERIAL; TIME-STEPPING;

ELECTRIC MACHINERY; MAGNETIC FIELDS;

LARGE SCALE SYSTEMS;

EID: 41549117242     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2007.904819     Document Type: Article

References (12)

1. I. F. Hantila, "A method for solving stationary magnetic field in nonlinear media," Rev. Roum. Sci. Techn. Electrotechn. Energ., vol. 20, no. 3, pp. 397-407, 1975.
2. F. Hantila, "Mathematical models of the relation between b and h for non-linear media," Rev. Roum. Sci. Techn. Electrotechn. Energ., vol. 19, no. 3, pp. 429-448, 1974.
3. F. Hantila, G. Preda, and M. Vasiliu, "Polarization method for static fields," IEEE Trans. Magn., vol. 36, no. 4, pp. 672-675, Jul. 2000.
4. F. Hantila, "An overrelaxation method for the computation of the fixed point of a contractive mapping," Rev. Roum. Sci. Techn. Electrotechn. Energ., vol. 27, no. 4, pp. 395-398, 1974.
5. M. Chiampi, C. Ragusa, and M. Repetto, "Strategies for accelerating convergence in nonlinear fixed point method solutions," in Proc. 7th Int. IGTE Symp., Graz, Austria, 1996, pp. 245-251.
6. O. Bottauscio, D. Chiarabaglio, M. Chiampi, and M. Repetto, "A hysteretic periodic magnetic field solution using Preisach model and fixedpoint technique," IEEE Trans. Magn., vol. 31, no. 6, pp. 3548-3550, Nov. 1995.
7. O. Bottauscio, M. Chiampi, D. Chiarabaglio, and M. Repetto, "Preisach-type hysteresis models in magnetic field computation," Phys. B: Condens. Matter, vol. 275, no. 1-3, pp. 34-39, Jan. 2000.
8. E. Dlala, J. Saitz, and A. Arkkio, "Inverted and forward Preisach models for numerical analysis of electromagnetic field problems," IEEE Trans. Magn., vol. 42, no. 8, pp. 1963-1973, Aug. 2006.
9. I. D. Mayergoyz, Mathematical Models of Hysteresis. New York: Springer-Verlag, 1991.
10. A. Arkkio, "Analysis of induction motors based on the numerical solution of the magnetic field and circuit equations," Ph.D. thesis, Helsinki Univ. Technol., Finland, Sep. 1987.
11. J. Saitz, "Magnetic field analysis of electric machines taking ferromagnetic hysteresis into account," Ph.D. thesis, Helsinki Univ. Technol., Finland, 2001.
12. E. Dlala and A. Arkkio, "Analysis of the convergence of the fixed-point method used for solving vector field problems," IEEE Trans. Magn., submitted for publication.