Comparison of Force Calculation Methods in 2D and 3D Finite Element Method

  • Yan Xiuke (School of Electrical Engineering, Shenyang University of Technology, Shenyang, Liaoning 110023, China) ;
  • Koh, Chang-Seop (School of Electrical and Computer Engineering, Chungbuk National University, Cheongju, Chungbuk) ;
  • Ryu, Jae-Seop (Department of Electrical Engineering, Chungbuk National University, Cheongju, Chungbuk) ;
  • Xie Dexin (School of Electrical Engineering, Shenyang University of Technology, Shenyang, Liaoning 110023, China)
  • Published : 2001.12.01

Abstract

The magnetic force calculation methods, the Maxwell's stress tensor method, virtual work method, and nodal force method, are reviewed and the equivalence of them are theoretically proved. The methods are applied to the magnetic force calculation of 2D linear and nonlinear problems, and 3D nonlinear problem. As the results, the convergence of the methods as the number of elements increases, accuracy of the methods, and integral path dependence of the methods are discussed. Finally some recommendations on the usage of the methods, including the determination of the integral path, are given.