A novel hybrid FEM-BEM method for 3D eddy current field calculation using current density kJ

  • Liu Zhizhen 
  • Wang Yanzhang 
  • Jia Zhiping 
  • Sun Yingming 


This paper introduces a novel hybrid FEM-BEM method for calculating 3D eddy current field. In the eddy current region, the eddy current density J is solved by the finite element method (FEM) which is discretized by brick finite element mesh, while in the eddy current free region, the magnetic field intensity H is solved by the boundary element method (BEM) which is discretized by rectangular boundary element mesh. Under the boundary conditions, an algebraic equation group is obtained that only includes J by eliminating H. This method has many advantages over traditional ones, such as fewer variables, more convenient coupling between the FEM and the BEM and wider application to multiply-connected regions. The calculated values of two models are in good agreement with experimental results. This shows the validity of our method.


conductor eddy current density magnetic field intensity 3D eddy current field FEM BEM coupling 


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  1. 1.
    Onuki, T., Wakao, S., Novel boundary element formulation in hybrid FE-BE method for electromagnetic field computations, IEEE Trans. on Mag., 1992, 28(2): 1162–1165.CrossRefGoogle Scholar
  2. 2.
    Bouillaut, F. T., Ω formulation by hybrid FEM-BEM and its gauges for 3D electromagnetic calculations, IEEE Trans. on Mag., 1992, 28(2): 1208–1211.CrossRefGoogle Scholar
  3. 3.
    Omuki, T., Hybrid finite element and boundary element method applied to electromagnetic problems, IEEE Trans. on Mag., 1990, 26(2): 582–587.CrossRefGoogle Scholar
  4. 4.
    Krahenbuhl, L., Muller, D., Thin layers in electrical engineering example of shell models in analyzing eddy-currents by boundary and finite element methods, IEEE Trans. on Mag., 1993, 29(2): 1450–1455.CrossRefGoogle Scholar
  5. 5.
    Sheng Jianni, Numerical Analysis in Engineering Electromagnetic Field (in Chinese), Xi’an: Xi’an Jiaotong University Press, 1991.Google Scholar
  6. 6.
    Ruan Jiangjun, Chen Xianzheng, Zhou Keding, 3D transient eddy current calculation by the hybrid FE-BE method using magnetic field intensity H, IEEE Trans. on Mag., 1992, 28(2): 1408–1411.Google Scholar
  7. 7.
    Kalimov, A., Vaznov, S., Voronina, T., Eddy current calculation using finite element method with boundary conditions of integral type, IEEE Trans. on Mag., 1997, 32(2): 1326–1329.CrossRefGoogle Scholar
  8. 8.
    Rucker, W. M., Richter, K. R., A BEM code for 3-D eddy current calculations, IEEE Trans. on Mag., 1985, 21(2): 462–465.Google Scholar

Copyright information

© Science in China Press 2003

Authors and Affiliations

  • Liu Zhizhen 
    • 1
  • Wang Yanzhang 
    • 2
  • Jia Zhiping 
    • 3
  • Sun Yingming 
    • 4
  1. 1.School of Electrical EngineeringShandong UniversityJinanChina
  2. 2.Department of Science and TechnologyShandong UniversityJinanChina
  3. 3.School of Computer Science and TechnologyShandong UniversityJinanChina
  4. 4.Center of ComputerJinan UniversityJinanChina

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