Computation of Source for Non-Meshed Coils in a Reduced Domain with A–V Formulation

[en] The discretized source magnetic vector potential Aj, projected from source field Hs with H(curl,Ω) semi-norm, is studied for non-meshed coils with magnetic vector potential A and electric scalar potential V formulation. As a novelty, source potential Aj is computed in a reduced domain Ωred instead of the complete domain Ω. For domains with fixed and moving parts, potential Aj can be computed on each part, for each of the related current sources, with no need to ensure its continuity between these parts.

Disciplines :

Electrical & electronics engineering

Author, co-author :

Ferrouillat, Pauline

Guérin, Christophe

Meunier, Gérard

Ramdane, Brahim

Dular, Patrick ; Université de Liège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)

Labie, Patrice

Dupuy, Delphine

Language :

English

Title :

Computation of Source for Non-Meshed Coils in a Reduced Domain with A–V Formulation

Publication date :

March 2016

Journal title :

IEEE Transactions on Magnetics

ISSN :

0018-9464

eISSN :

1941-0069

Publisher :

IEEE, Piscataway, United States - New Jersey

Volume :

Issue :

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 15 January 2016

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Bibliography

J. C. Vérité, "Calculation of multivalued potentials in exterior regions," IEEE Trans. Magn., vol. MAG-23, no. 3, pp. 1881-1887, May 1987
O. Bíró, K. Preis, and K. R. Richter, "On the use of the magnetic vector potential in the nodal and edge finite element analysis of 3D magnetostatic problems," IEEE Trans. Magn., vol. 32, no. 3, pp. 651-654, May 1996
O. Bíró, C. Paul, K. Preis, and S. Russenschuck, "Ar formulation using edge elements, for the calculation of 3-D fields in superconducting magnets," IEEE Trans. Magn., vol. 35, no. 3, pp. 1391-1393, May 1999
E. X. Xu and J. Simkin, "Total and reduced magnetic vector potentials and electrical scalar potential for eddy current calculation," IEEE Trans. Magn., vol. 40, no. 2, pp. 938-940, Mar. 2004
L. K. Urankar, "Vector potential and magnetic field of current-carrying finite arc segment in analytical form, part I: Filament approximation," IEEE Trans. Magn., vol. MAG-16, no. 5, pp. 1283-1288, Sep. 1980
L. K. Urankar, "Vector potential and magnetic field of current-carying finite arc segment in analytical form, part II: Thin sheet approximation," IEEE Trans. Magn., vol. MAG-18, no. 3, pp. 911-917, May 1982
L. K. Urankar, "Vector potential and magnetic field of current-carrying finite arc segment in analytical form, part III: Exact computation for rectangular cross section," IEEE Trans. Magn., vol. MAG-18, no. 6, pp. 1860-1867, Nov. 1982
P. Ferrouillat, C. Guérin, G. Meunier, B. Ramdane, P. Labie, and D. Dupuy, "Computations of source for non-meshed coils with A-V formulation using edge elements," IEEE Trans. Magn., vol. 51, no. 3, Mar. 2015, Art. ID 7402404
Z. Wang, T. Henneron, N. Nemitz, J.-C. Mipo, and F. Piriou, "Electromagnetic field projection on finite element overlapping domains," IEEE Trans. Magn., vol. 49, no. 4, pp. 1290-1298, Apr. 2013
R. Albanese and G. Rubinacci, "Magnetostatic field computations in terms of two-component vector potentials," Int. J. Numer. Methods Eng., vol. 26, no. 3, pp. 515-532, 1990
K. Preis, I. Bardi, O. Bíró, C. Magele, G. Vrisk, and K. R. Richter, "Different finite element formulations of 3D magnetostatic fields," IEEE Trans. Magn., vol. 28, no. 2, pp. 1056-1059, Mar. 1992
Z. Ren, "Influence of the R.H.S. on the convergence behaviour of the curl-curl equation," IEEE Trans. Magn., vol. 32, no. 3, pp. 655-658, May 1996