Accurate Magnetic Shell Approximations with Magnetostatic Finite Element Formulations by a Subdomain Approach

  • V. D. Quoc Department of Electrical and Electronic Equipment, School of Electrical Engineering, Hanoi University of Science and Technology, Vietnam
Keywords: magnetostatic finite element formulation, magnetic scalar potential, magnetic field, magnetic shell, subproblem approach

Abstract

This paper presents a subproblem approach with h-conformal magnetostatic finite element formulations for treating the errors of magnetic shell approximation, by replacing volume thin regions by surfaces with interface conditions. These approximations seem to neglect the curvature effects in the vicinity of corners and edges. The process from the surface-to-volume correction problem is presented as a sequence of several subdomains, which can be composed to the full domain, including inductors and thin magnetic regions. Each step of the process will be separately performed on its own subdomain and submesh instead of solving the problem in the full domain. This allows reducing the size of matrix and time computation.

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References

C. Geuzaine, P. Dular, and W. Legros, “Dual formulations for the modeling of thin conducting magnetic shells,” COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, vol. 18, no. 3, pp. 385–398, Jan. 1999, doi: 10.1108/03321649910274946.

C. Geuzaine, P. Dular, and W. Legros, “Dual formulations for the modeling of thin electromagnetic shells using edge elements,” IEEE Transactions on Magnetics, vol. 36, no. 4, pp. 799–803, Jul. 2000, doi: 10.1109/20.877566.

P. Dular and R. V. Sabariego, “A Perturbation Method for Computing Field Distortions Due to Conductive Regions With $mmb h$ -Conform Magnetodynamic Finite Element Formulations,” IEEE Transactions on Magnetics, vol. 43, no. 4, pp. 1293–1296, Apr. 2007, doi: 10.1109/TMAG.2007.892401.

P. Dular, R. V. Sabariego, C. Geuzaine, M. V. Ferreira da Luz, P. Kuo-Peng, and L. Krähenbühl, “Finite Element Magnetic Models via a Coupling of Subproblems of Lower Dimensions,” IEEE Transactions on Magnetics, vol. 46, no. 8, pp. 2827–2830, Aug. 2010, doi: 10.1109/TMAG.2010.2044028.

P. Dular, V. Q. Dang, R. V. Sabariego, L. Kahenbuhl, and C. Geuzaine, “Correction of Thin Shell Finite Element Magnetic Models via a Subproblem Method,” IEEE Transactions on Magnetics, vol. 47, no. 5, pp. 1158–1161, May 2011, doi: 10.1109/TMAG.2010.2076794.

V. Q. Dang, P. Dular, R. V. Sabariego, L. Krahenbuhl, and C. Geuzaine, “Subproblem Approach for Thin Shell Dual Finite Element Formulations,” IEEE Transactions on Magnetics, vol. 48, no. 2, pp. 407–410, Feb. 2012, doi: 10.1109/TMAG.2011.2176925.

D. Q. Vuong, “Modeling of magnetic fields and eddy current losses in electromagnetic screens by a subproblem method,” TNU Journal of Science and Technology, vol. 194, no. 1, pp. 7–12, 2019.

V. D. Quoc and C. Geuzaine, “Using edge elements for modeling of 3-D magnetodynamic problem via a subproblem method,” Science and Technology Development Journal, vol. 23, pp. 439–445, Feb. 2020, doi: 10.32508/stdj.v23i1.1718.

D. Q. Vuong and N. D. Quang, “Coupling of Local and Global Quantities by A Subproblem Finite Element Method – Application to Thin Region Models,” Advances in Science, Technology and Engineering Systems Journal (ASTESJ), vol. 4, no. 2, pp. 40–44, 2019, doi: 10.25046/aj040206.

P. Dular, R. V. Sabariego, M. V. Ferreira da Luz, P. Kuo-Peng, and L. Krahenbuhl, “Perturbation Finite Element Method for Magnetic Model Refinement of Air Gaps and Leakage Fluxes,” IEEE Transactions on Magnetics, vol. 45, no. 3, pp. 1400–1403, Mar. 2009, doi: 10.1109/TMAG.2009.2012643.

V. D. Quoc, “Robust Correction Procedure for Accurate Thin Shell Models via a Perturbation Technique,” Engineering, Technology & Applied Science Research, vol. 10, no. 3, pp. 5832–5836, Jun. 2020.

S. Koroglu, P. Sergeant, R. V. Sabariego, V. Q. Dang, and M. D. Wulf, “Influence of contact resistance on shielding efficiency of shielding gutters for high-voltage cables,” IET Electric Power Applications, vol. 5, no. 9, pp. 715–720, Nov. 2011, doi: 10.1049/iet-epa.2011.0081.

K. Abubakri and H. Veladi, “Investigation of the Behavior of Steel Shear Walls Using Finite Elements Analysis,” Engineering, Technology & Applied Science Research, vol. 6, no. 5, pp. 1155–1157, Oct. 2016.

G. Meunier, The Finite Element Method for Electromagnetic Modeling. New York, NY, USA: John Wiley & Sons, Ltd, 2010.

C. Geuzaine, B. Meys, F. Henrotte, P. Dular, and W. Legros, “A Galerkin projection method for mixed finite elements,” IEEE Transactions on Magnetics, vol. 35, no. 3, pp. 1438–1441, May 1999, doi: 10.1109/20.767236.

P. E. Farrell and J. R. Maddison, “Conservative interpolation between volume meshes by local Galerkin projection,” Computer Methods in Applied Mechanics and Engineering, vol. 200, no. 1, pp. 89–100, Jan. 2011, doi: 10.1016/j.cma.2010.07.015.

G. Parent, P. Dular, F. Piriou, and A. Abakar, “Accurate Projection Method of Source Quantities in Coupled Finite-Element Problems,” IEEE Transactions on Magnetics, vol. 45, no. 3, pp. 1132–1135, Mar. 2009, doi: 10.1109/TMAG.2009.2012652.

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