DC CURRENT DISTRIBUTIONS AND MAGNETIC-FIELDS USING THE T-OMEGA EDGE-ELEMENT METHOD

被引:19
作者
WEBB, JP [1 ]
FORGHANI, B [1 ]
机构
[1] INFOLYTICA CORP,MONTREAL,PQ H3A 1M8,CANADA
关键词
D O I
10.1109/20.376300
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
When steady currents flow in solid conductors, the current distributions are not known in advance, and a 3D finite-element analysis of the magnetostatic fields must also involve an analysis of the currents. To find the currents, either of two potentials can be used: the electric scalar potential or a vector potential T for the current density. The scalar potential has the disadvantage of producing a current density that is only approximately solenoidal, and is therefore incompatible with Ampere's Law for the magnetic field. The vector potential gives solenoidal currents. It may conveniently be found by applying the T-OMEGA edge element method, an existing method for eddy current problems, in one of two ways: setting the frequency so low that the DC solution is obtained; or solving first for T, then for OMEGA. Either way, both the current distribution and the magnetic field are obtained, and the solution is ideally suited for subsequent transient analysis. Results from three test problems confirm the validity of the method.
引用
收藏
页码:1444 / 1447
页数:4
相关论文
共 9 条
  • [1] Simkin J., Trowbridge C.W., On the use of the total scalar potential in the numerical solution of field problems in electromagnetics, Int. J. Num. Met. Engng., 14, pp. 423-440, (1979)
  • [2] Emson C.R.I., Simkin J., An optimal method for 3-D eddy currents, IEEE Trans. on Magnetics, 19, 6, pp. 2450-2452, (1983)
  • [3] Bryant C.F., Emson C.R.I., Trowbridge C.W., A general purpose 3-D formulation for eddy currents using the Lorentz gauge, IEEE Trans. on Magnetics, 26, 5, pp. 2373-2375, (1990)
  • [4] Albanese R., Rubinacci C., Solution of three dimensional eddy current problems by integral and differential methods, IEEE Trans. on Magnetics, 24, 1, pp. 98-101, (1988)
  • [5] Webb J.P., Forghani B., A T-Omega method using hierarchal edge elements, IEE Proceedings-A
  • [6] Webb J.P., Forghani B., The low-frequency performance of H-ø and T-Ω methods using edge elements for 3D eddy current problems, IEEE Trans. on Magnetics, 29, pp. 2461-2463, (1993)
  • [7] Bandelier B., Daveau C., Rioux-Damidau F., A new h-formulation for nonlinear magnetostatics in R3, IEEE Trans. on Magnetics, 30, 5, pp. 2889-2892, (1994)
  • [8] Webb J.P., Forghani B., Lowther D.A., An approach to the solution of three-dimensional voltage driven and multiply connected eddy current problems, IEEE Trans. on Magnetics, 28, 2, pp. 1193-1196, (1992)
  • [9] Webb J.P., Forghani B., Adaptive improvement of magnetic fields using hierarchal tetrahedral finite elements, IEEE Trans. on Magnetics, 30, 5, pp. 3511-3514, (1994)