3D eddy currents computation by BEM using the modified magnetic vector potential and the reduced magnetic scalar potential

A new boundary element method (BEM) formulation has been developed for the computation of 3D eddy currents in both magnetic and conductive regions. The modified magnetic vector potential A∗ in the active regions and the reduced magnetic scalar potential φ in the air are used as unknown variables. The formulation is limited to low‐frequency magneto‐harmonic problems associated to linear, homogeneous, isotropic, and simply‐connected regions. In such a configuration, it leads to accurate results with a reduced number of degrees of freedom located on a surface mesh delimiting the air/material interface.

[1]  Jean-Michel Guichon,et al.  A Mixed Surface Volume Integral Formulation for the Modeling of High-Frequency Coreless Inductors , 2016, IEEE Transactions on Magnetics.

[2]  Christoph Schwab,et al.  Preconditioning of the second‐kind boundary integral equations for 3D eddy current problems , 2001 .

[3]  Dalian Zheng,et al.  Three-dimensional eddy current analysis by the boundary element method , 1997 .

[4]  Roberto D. Graglia,et al.  On the numerical integration of the linear shape functions times the 3-D Green's function or its gradient on a plane triangle , 1993 .

[5]  K. Ishibashi.  A Least Residual Approach for 3-D Eddy Current Analysis by BEM , 1992, Digest of the Fifth Biennial IEEE Conference on Electromagnetic Field Computation.

[6]  S. Wakao,et al.  Novel Boundary Element Analysis for 3-D Eddy Current Problems , 1992, Digest of the Fifth Biennial IEEE Conference on Electromagnetic Field Computation.

[7]  S. Wakao,et al.  Electromagnetic Field Computations by the Hybrid Fe-Be Method Using Edge Elements , 1992, Digest of the Fifth Biennial IEEE Conference on Electromagnetic Field Computation.

[8]  W. M. Rucker,et al.  A BEM code for 3-D eddy current calculations , 1990 .

[9]  M. Tanaka,et al.  Three-dimensional eddy current analysis by the boundary element method using vector potential , 1990 .

[10]  H. Tsuboi,et al.  Computaton of 3-dimensional Eddy current problems by using boundary element method , 1985 .

[11]  Isaak D. Mayergoyz,et al.  Boundary integral equations of minimum order for the calculation of three-dimensional eddy current problems , 1982 .

[12]  H. Unz.  Scalar-vector analog of Green's theorem , 1958 .

[13]  L. J. Chu,et al.  Diffraction Theory of Electromagnetic Waves , 1939 .

[14]  R. Hiptmair.  Boundary Element Methods for Eddy Current Computation , 2003 .

[15]  R. Harrington.  Formulation of Boundary Integral Equations by the Equivalent Source Method , 1992 .

[16]  T. Morisue,et al.  3-D eddy current calculations using the magnetic vector potential , 1988 .

[17]  J. Lavers,et al.  On the implementation of a boundary element method for 3-D multiply connected EM field problems , 1988 .