Integral formulation for 3-D eddy current problems

IEE Proceedings: Science, Measurement and Technology

Volumn 143, Issue 2, 1996, Pages 91-98

  Kettunen, L ^a   Forsman, K ^a  

^a TAMPERE UNIVERSITY OF TECHNOLOGY   (Finland)

Author keywords

Eddy current problems; Integral equations

Indexed keywords

CURRENT DENSITY; INTEGRAL EQUATIONS; MAGNETIC FIELDS; MAGNETIZATION; MAXWELL EQUATIONS; PROBLEM SOLVING; THREE DIMENSIONAL; VECTORS;

WHITNEY ELEMENTS;

EDDY CURRENTS;

EID: 0030107729     PISSN: 13502344     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-smt:19960174     Document Type: Article

References (28)

1. BIDDLECOMBE, C.S., COLLIE, C.J., SIMKIN, J. and TROWBRIDGE, C.W.: The integral equation method applied to eddy currents'. Proceedings of the COMPUMAG'76 conference, 1976, (Oxford), pp. 363-372
2. FRIEDMAN, M.J.: 'Mathematical study of the nonlinear singular integral magnetic field equation, I', SIAM J. Appl. Math., 1980. 39, (1), pp. 14-20
3. BOSSAVIT, A.: 'On the numerical analysis of eddy current problems', Comput. Methods Appl. Mech. Eng., 1981, 27, pp. 303-318
4. KAMEARI A.: 'Transient eddy current analysis in thin conductors with arbitrary connections and shapes', J. Comput. Phys., 1981. 42, pp. 124-140
5. TURNER, L.R., and LARI, R.J.: 'Applications and further developments of the eddy current program eddynet', IEEE Trans. Magn., 18, pp. 416-421
6. ALBANESE, R., MARTONE, R., MIANO, G., and RUBINACCI, G.: 'A T formulation for 3D finite element eddy current computation', IEEE Trans. Magn., 1985, 21, (6), pp. 2299-2302
7. ALBANESE, R., and RUBINACCI, G.: 'Integral formulation for 3D eddy-current computation using edge elements', IEE Proc. A, 1988, 135, (7), pp. 457-462
8. KOIZUMI, M., and ONIZAWA, M.: 'Computational method of three dimensional eddy current by using volume integral equation method', IEEE Trans. Magn., 1991, 27, (5), pp. 4077-4080
9. GIMIGNANI, M., MUSOLINO, A., and RAUGI, M.: 'Integral formulation for nonlinear magnetostatic and eddy currents analysis', IEEE Trans. Magn., 1994, 30, (5), pp. 3024-3027
10. BOSSAVIT, A.: 'Whitney forms: a class of finite elements for three-dimensional computations in electromagnetism', IEE Proc. A, 1988, 135, (8), pp. 493-500
11. KETTUNEN, L., FORSMAN, K., LEVINE, D., and GROPP, W.: 'Solutions of TEAM problems 13 and 20 using a volume integral formulation'. Proceedings of the Aix-Ies-Bains TEAM workshop, July 1994, (Aix-Ies-Bains, France), pp. 57-62
12. FORSMAN, K., KETTUNEN, L., and NUUTINEN, J.-P.: 'Performance of a nonlinear 2d and 3d magnetostatic volume integral formulation', IEEE Trans. Magn., 1995, 31, (3), pp. 1488-1491
13. KETTUNEN, L., FORSMAN, K., LEVINE, D., and GROPP, W.: 'Integral equations and non-linear 3D magnetostatics', Int. J. Numer. Methods Eng., 1995, 38, pp. 2655-2675
14. CARPENTER, C.J.: 'Comparison of alternative formulations of 3-dimensional magnetic-field and eddy-current problems at power frequencies', Proc. IEE, 1977, 124, (11), pp. 1026-1034
15. BOSSAVIT, A.: 'Magnetostatic problems in multiply connected regions: some properties of the curl operator', IEE Proc. A, 1988, 135, (3), pp. 179-187
16. BOSSAVIT, A.: 'Simplicial finite elements for scattering problems in electromagnetism', Comput. Methods Appl. Mech. Eng., 1989, 76, pp. 299-316
17. BOSSAVIT, A.: 'A numerical approach to transient 3d non-linear eddy-current problems', Appl. Electr. Mater., 1990, 1, pp. 65-75
18. ROSTEN, H.I.: 'A method for the calculation of the magnetostatic field from a wide class of current geometries'. Tech. Rep. RL-74-077, Computing Applications Group, Rutherford Laboratory, May 1974
19. URANKAR, L.: 'Vector potential and magnetic field of current-carrying finite arc segment in analytic form. Part III: Exact computation for rectangular cross section', IEEE Trans. Magn., 1982, 18, (6), pp. 1860-1867
20. AZZERBONI, B., CARDELLI, E., RAUGI, M., TELLINI, A., and TINA, G.: 'Analytic expressions for magnetic field from finite curved conductors', IEEE Trans. Magn., 1991, 27, (2), pp. 750-757
21. AIELLO, G., AZZERBONI, B., CARDELLI, E., RAUGI, M., TELLINI, A., and TINA, G.: 'Analytical computation of magnetic vector potential from tetrahedral conductors', IEEE Trans. Magn., 1992, 28, (5), pp. 2045-2050
22. COLLIE, C.J.: 'Magnetic fields and potentials of linearly varying current or magnetisation in a plane bounded region'. Proceedings COMPUMAG conference on the Computation of electromagnetic fields, April 1976, (Oxford), pp. 86-95
23. REN, Z., and RAZEK, A.: 'Boundary edge elements and spanning tree technique in three-dimensional electromagnetic field computation', Int. J. Numer. Methods Eng., 1993, 36, pp. 2877-2893
24. ALBANESE, R., and RUBINACCI, G.: Treatment of multiply connected regions in two-component electric vector potential formulations', IEEE Trans. Magn., 1990, 26, (2), pp. 650-653
25. TURNER, L.R., DAVEY, K., EMSON, C.R.I., MIYA, M., NAKATA, T., and NICOLAS, A.: 'Problems and workshops for eddy current code comparison', IEEE Trans. Magn., 1988, 24, pp. 431-434
26. ZIENKIEWICZ, O., WOOD, W., and HINE, N.: 'A unified set of single step algorithms', Int. J. Numer. Methods Eng., 1984, 20, pp. 1529-1552
27. LEONARD, P., and RODGER, D.: 'Some aspects of two- and three-dimensional transient-eddy-current modelling using finite elements and single-step time-marching algorithms', IEE proc. A, 1986, 135, (3), pp. 159-166
28. KAMEARI, A.: 'Results for benchmark calculations of problem 4 (the FELIX brick)', COMPEL, 7, (1&2), pp. 65-80