To alleviate the requirement on excessive computational resources using numerical methods such as finite element analysis in solving large high frequency 3-D eddy current problems, a novel iterative methodology to deal with periodic boundary conditions is proposed. Its implementation in finite element method is also explained in details. Numerical results on the computations of 3-D eddy current fields of a cold crucible are used to demonstrate the robustness and feasibility as well as the advantages of the proposed methodology in solving practical 3-D eddy current field problems.
ZhuZ., XieD., WangG., ZhangY. and YanX., Computation of 3-D magnetic leakage field and stray losses in large power transformer, IEEE Trans. Magn.48 (2012), 739-742.
2.
AlbertJ., BanucuR., ReinauerV., ScheiblichC. and RuckerW.M., Comparison of a direct and a vector potential integral equation method for the computation of eddy currents, IEEE Trans. Magn.48 (2012), 599-602.
3.
KawaseY., YamaguchiT. and HayashiN., 3-D finite element analysis for molten shapes in an electromagnetic melting system, IEEE Trans. Magn.29 (1993), 1554-1557.
4.
MakinoH., KuwabaraM. and AsaiS., Process analysis of non-contact continuous casting of materials using cold crucible, ISIJ International36 (1996), 380-387.
5.
YoshidaN., FuruhashiS. and TankaT., Newly designed stiff EMC mold with imposition of super-high frequency electromagnetic field, Proceedings of the 3rd International Symposium on Electromagnetic Processing of Materials (2000), 388-391.
6.
FeliachiM., BenzergaD., LouaiF.Z. and DeveleyG., On the 2D or 3D coupled analytical and finite element analysis of eddy current and thermal problems in Plasma devices, IEEE Trans. Magn.32 (1996), 1613-1616.