A General and Natural Method to Define Circuit Relations Associated with Magnetic Vector Potential Formulations

Dular, Patrick; Henrotte, François; Legros, Willy

doi:10.1109/20.767310

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Article (Scientific journals)

A General and Natural Method to Define Circuit Relations Associated with Magnetic Vector Potential Formulations

Dular, Patrick; Henrotte, François; Legros, Willy

1999 • In IEEE Transactions on Magnetics, 35 (3), p. 1630-1633

Peer Reviewed verified by ORBi

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https://hdl.handle.net/2268/190913

DOI
10.1109/20.767310

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Keywords :

finite element method; coupled problems; magnetodynamics; inductors; electric circuit

Abstract :

[en] A procedure is proposed to deal with magnetic vector potential finite element magnetodynamic formulations and the definition of their associated circuit relations, involving voltages and currents, especially for massive inductors. It consists in solving two successive problems thanks to the use of edge elements, the first problem releasing the second one, which is especially useful for efficient nonlinear time stepping analyses

Disciplines :

Electrical & electronics engineering

Author, co-author :

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

Henrotte, François

Legros, Willy

Language :

English

Title :

A General and Natural Method to Define Circuit Relations Associated with Magnetic Vector Potential Formulations

Publication date :

May 1999

Journal title :

IEEE Transactions on Magnetics

ISSN :

0018-9464

eISSN :

1941-0069

Publisher :

IEEE, Piscataway, United States - New Jersey

Volume :

Issue :

Pages :

1630-1633

Peer reviewed :

Peer Reviewed verified by ORBi

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique
BELSPO - SPP Politique scientifique - Service Public Fédéral de Programmation Politique scientifique

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since 11 January 2016

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Bibliography

P. Lombard, G. Meunier, "A general purpose method for electric and magnetic combined problems for 2D, axisymmetric and transient problems", IEEE Trans. Magn., Vol.29, No. 2, pp. 1737-1740, 1993.
P.J. Leonard, D. Rodger, R.J. Hill-Cottingham, "Calculation of AC losses in current forced conductors using 3D finite elements and the AΨV method", IEEE Trans. Magn., Vol. 26, No. 2, pp. 490-492, 1990.
F. Piriou, A. Razek, "Finite element analysis in electromagnetic systems accounting for electric circuits", IEEE Trans. Magn., Vol. 29, No. 2, pp. 1669-1675, 1993.
P. Dular, F. Henrotte, B. Meys, A. Genon, W. Legros, "Une méthode naturelle de traitement des potentiels flottants associée à la méthode des éléments finis", J. Phys. III France, Vol. 7, No. 11, pp. 2201-2209, 1997.
P. Dular, W. Legros, A. Nicolet, "Coupling of local and global quantities in various finite element formulations and its application to electrostatics, magnetostatics and magnetodynamics", IEEE Trans. Magn., Vol. 34, No. 5. pp. 3078-3081, Sept. 1998.
T. Dreher, G. Meunier, "3D modeling of electromagnets fed by alternating voltage sources", IEEE Trans. Magn., Vol.29, No. 2, pp. 1341-1344, March 1993.
I. Tsukerman, A. Konrad, G. Meunier, J.C. Sabonnadière, "Coupled field-circuit problems: trends and accomplishments", IEEE Trans. Magn., Vol. 29, No. 2, pp. 1701-1704, March 1994.
S. Bouissou, F. Piriou, "Study of 3D formulations to model electromagnetic devices", IEEE Trans. Magn., Vol. 30, No. 5, pp. 3228-3231, Sept. 1994.
J.L. Coulomb, G. Meunier, J.C. Sabonnadiere, "Energy methods for the evaluation of global quantities and integral parameters in a finite element analysis of electromagnetic devices", IEEE Trans. Magn., Vol. 21, No. 5, pp. 1817-1822, Sept. 1985.
A. Bossavit, "A rationale for edge-elements in 3-D fields computations", IEEE Trans. Magn., Vol.24, No. 1, pp. 74-79, Jan. 1988.
P. Dular, A. Nicolet, A. Genon, W. Legros, "Mixed finite elements associated with a collection of tetrahedra, hexahedra and prisms", IEEE Trans. Magn., Vol. 30, No. 5, pp. 2980-2983, Sept. 1994.
R. Albanese, G. Rubinacci, "Magnetostatic field computation in terms of two-component vector potentials". International Journal for Numerical Methods in Engineering, Vol. 29, pp. 515-532, 1990.
P. Dular, A. Nicolet, A. Genon, W. Legros, "A discrete sequence associated with mixed finite elements and its gauge condition for vector potentials", IEEE Trans. Magn., Vol. 31, No. 3, pp. 1356-1359, May 1995.
C.R.I. Emson, J. Simkin, "An optimal method for 3-D eddy currents", IEEE Trans. Magn., Vol. 19, No. 6, pp. 2450-2452, Nov. 1983.
A. Bossavit, "Two dual formulations of the 3D eddy currents problem", COMPEL, No. 4, pp. 103-116, 1984.
P. Dular, C. Geuzaine, W. Legros, "A natural method for coupling magnetodynamic h-formulations and circuit equations", IEEE Trans. Magn., this issue.