Using Complementary Formulations for Accurate Computations of Magnetostatic Fields and Forces in a Synchronous Motor

IEEE Transactions on Magnetics

Volumn 30, Issue 5, 1994, Pages 3479-3482

  Tsukerman, I ^a   Lavers, J D ^a   Konrad, A ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

HEURISTIC MOTIVATION; MAGNETOSTATIC FIELDS; MAGNETOSTATIC FORCES; RIPPLE FORCE; SLIDING SURFACE MODEL; TWO DIMENSIONAL FIELDS;

ALGORITHMS; APPROXIMATION THEORY; CALCULATIONS; ELECTRIC CURRENTS; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; MAGNETOSTATICS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; SYNCHRONOUS MOTORS;

ELECTROMAGNETIC FIELDS;

EID: 0028515866     PISSN: 00189464     EISSN: 19410069     Source Type: Journal    
DOI: 10.1109/20.312688     Document Type: Article

References (17)

1. A.A. Abdel-Razek, J.L. Coulomb, M. Feliachi, J.C. Sabonnadiere, “The calculation of electromagnetic torque in saturated electric machines within combined numerical and analytical solutions of the field equations,” IEEE Trans. Magn., 17(6) pp.3250-3252, 1981.
2. R. Albanese, G. Rubinacci, “Magnetostatic field computations in terms of two-component vector potentials,” International Journal for Numerical Methods in Engineering, 29(3), pp.515-532, 1990.
3. O. Biro, K. Preis, G. Vrisk, K.R. Richter, “Computation of 3-D magnetostatic fields using a reduced scalar potential,” IEEE Trans. Magn., 29(2), pp.1329-1332, 1993.
4. A. George, G. Liu, Computer Solution of Large Sparse Positive Definite Systems, New Jersey: Prentice Hall, 1981.
5. M. Krizek, P. Neittaanmaki, Finite Element Approximation of Variational Problems and Applications, Harlow: Longman Scientific Technical; New York: Wiley, 1990.
6. J. T. Marti, Introduction to Sobolev Spaces and Finite Element Solution of Elliptic Boundary Value Problems, Academic Press, 1986.
7. J. Mizia, K. Adamiak, A.R. Eastham, G.E. Dawson, “Finite element force calculation: comparison of methods for electric machines,” IEEE Trans. Magn., 24(1), pp.447-450, 1988.
8. W. Muller, “Comparison of different methods of force calculation,” IEEE Trans. Magn., 25(2), pp.1058-1061, 1990.
9. J. Penman, J.R. Fraser, “Complementary and dual energy finite element principles in magnetostatics,” IEEE Trans. Magn., 18(2), pp.319-324, 1982.
10. J. Penman, M.D. Grieve, “Efficient calculation of force in electromagnetic devices,” IEE Proc., 133B(4), pp.212-216, 1986.
11. T.W. Preston, A.B.J. Reece, P.S. Sangha, “Induction motor analysis by time-stepping techniques,” IEEE Trans. Magn., 24(1), pp.471-474, 1988.
12. N. Sadowski, Y. Lefevre, M. Lajoie-Mazenc, J. Cros, “Finite element torque calculation in electrical machines while considering the movement,” IEEE Trans. Magn., 28(2), pp.1410-1413, 1992.
13. S.J. Salon, J.M. Schneider, “A hybrid finite element boundary integral formulation of the eddy current problem,” IEEE Trans. Magn., 18(2), pp.461-466, 1982.
14. A.H. Schatz and and L.B. Wahlbin, “Interior maximum norm estimates for finite element methods,” Math. of Comp., 31(138), pp.414-442, 1977.
15. R. Scott, “Optimal L ∞ estimates for the finite element method on irregular meshes,” Math. Comp., 30, pp.681-697, 1976.
16. I.A. Tsukerman, “Overlapping finite elements for problems with movement,” IEEE Trans. Magn., 28(5), 2247-2249, 1992.
17. J.P. Webb, B. Forghani, “A single scalar potential method for 3D magnetostatics using edge elements,” IEEE Trans. Magn., 25(5), pp.4126-4128, 1989.