Journal of Electrical Engineering and Technology

  • 제4권2호
  • /
  • Pages.229-233
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  • 2009
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  • 1975-0102(pISSN)
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  • 2093-7423(eISSN)
대한전기학회 (The Korean Institute of Electrical Engineers)
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Correction of the Approximation Error in the Time-Stepping Finite Element Method

  • Kim, Byung-Taek (Dept. of Electrical Engineering, Kunsan National University) ;
  • Yu, Byoung-Hun (Dept. of Electrical Engineering, Kunsan National University) ;
  • Choit, Myoung-Hyun (Dept. of Electrical Engineering, Kunsan National University) ;
  • Kim, Ho-Hyun (Dept. of Electrical Engineering, Kunsan National University)
  • 발행 : 2009.06.30
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초록

This paper proposes a correction method for the error inherently created by time-step approximation in finite element analysis (FEA). For a simple RL and RLC linear circuit, the error in time-step analysis is analytically investigated, and a correction method is proposed for a non-linear system as well as a linear one. Then, for a practical inductor model, linear and non-linear time-step analyses are performed and the calculation results are corrected by the proposed methods. The accuracy of the corrected results is confirmed by comparing the electric input and output powers.

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참고문헌

  1. Jabbar, M. A., Phyu, Hla Nu, and Liu, Z. J., 'Analysis of the Starting Process of a Disk Drive Spindle Motor By Time Stepping Finite Element Method', IEEE Transactions on Magnetics, vol. 50, pp. 3204-3206, July 2004
  2. Ho, S. L., and Fu, W. N., 'Application of Automatic Choice of Step Size for Time Stepping Finite Element Method to Induction Motors', IEEE Transactions on Magnetics, vol. 33, no. 2, pp. 1370-1373, March 1997 https://doi.org/10.1109/20.582511
  3. Gear, C. William, Numerical Initial Value Problem in Ordinary Differential Equations, Prentice-Hall, Inc, Englewood Cliffs, New Jersey, 1971
  4. Jordan, D. W. and Smith, P, Nonlinear Ordinary Differential Equations, Oxford Press, Oxford, 1999
  5. Brauer, J. R., Vander Heiden, R. H., and Arkadan, A. A., 'Nonliear transient finite element modeling of a capacitor discharge magnetizing fixture,' IEEE Transactions on Magnetics, Vol. 29, pp. 2051-2054, March 1993 https://doi.org/10.1109/20.250814
  6. Burden, Richard L., and Douglas, J., Faires, Numerical Analysis, Thomson Brooks/Cole, Singapore, 2002