매질 민감도해석을 이용한 전자기시스템의 위상 최적설계

Topology Optimization of Electromagnetic Systems Using Material Sensitivity Analysis

  • 변진규 (일리노이대 전기 및 컴퓨터공학부) ;
  • 최홍순 (성균관대학교 정보통신공학부) ;
  • 한송엽 (서울대학교 전기공학부) ;
  • 박일한 (성균관대학교 정보통신공학부)
  • 발행 : 2005.04.01

초록

The conventional optimization study for electromagnetic systems has been mostly on the shape or size optimization. The goal for these optimization methods is to improve performance of electromagnetic systems by optimizing the interface shape of two different materials while their given layout or initial topology are held. The feasible topology can be diverse and an appropriate topology will give much better design results. In this paper we propose a theory and an algorithm for topology optimization of electromagnetic systems, which are based on the finite element method. The topology optimization technique employes a direct searching method of sensitivity analysis in which the information of material sensitivity is used. Two numerical examples of a switched reluctance motor and an electrostatic actuator of MEMS are tested and their design results show that the optimization method is valid and useful for the topology and basic layout design of electromagnetic systems.

키워드

참고문헌

  1. I. H. Park, B. T. Lee and S. Y. Hahn, 'Sensitivity analysis based on analytic approach for shape optimization of electromagnetic devices: interface problem of iron and air,' IEEE' Trans. Magn, vol. 27, no. 5, pp. 4142-4145, September 1991 https://doi.org/10.1109/20.105013
  2. I. H. Park, B. T. Lee and S. Y. Hahn, 'Design sensitivity analysis for nonlinear magnetostatic problems using finite element method,' IEEE Trans. Magn, vol. 28, no. 2, pp. 1533-1536, March 1992 https://doi.org/10.1109/20.123989
  3. I. H. Park, J. L. Coulomb and S. Y. Hahn, 'Implementation of continuum sensitivity analysis with existing finite element code,' IEEE Trans. Magn, vol. 29, no. 2, pp. 1787-1790, March 1993 https://doi.org/10.1109/20.250752
  4. I. H. Park, H. B. Lee, I. G. Kwak and S. Y. Hahn, 'Design sensitivity analysis for steady state eddy current problems by continuum approach,' IEEE Trans. Magn., vol. 30, no. 5, pp. 3411-3414, September 1994 https://doi.org/10.1109/20.312671
  5. I. H. Park, I. G. Kwak, H. B. Lee, S. Y. Hahn and K. S. Lee, 'Design sensitivity analysis for transient eddy current problems using finite element discretization and adjoint variable method,' IEEE Trans. Magn, vol. 32, no.3, pp.1242-1245, May 1996 https://doi.org/10.1109/20.497469
  6. D. N. Dyck and D. A. Lowther, 'Automated design of magnetic devices by optimizing material distribution,' IEEE Trans. Magn, vol. 32, no. 3, pp. 1188-1193, May 1996 https://doi.org/10.1109/20.497456
  7. Lowther, D. A., Mai, W., and Dyck, D. N., 1998, 'A Comparison of MRI Magnet Design Using a Hopfield Network and the Optimized Material Distribution Method,' IEEE Trans. Mag., Vol. 34, No.5, pp. 2885-2888 https://doi.org/10.1109/20.717672
  8. S. H. E. Choi, D. A. Lowther and D. N. Dyck, 'Determining boundary shapes from the optimized material distribution system,' IEEE Trans. Magn, vol. 34, no. 5, pp. 2833-2835, September 1998 https://doi.org/10.1109/20.717659
  9. Yoo, J., Kikuchi, N., and Volakis, J. L., 2000, 'Structural Optimization in Magnetic Devices by the Homogenization Design Method,' IEEE Trans. Mag., Vol. 36, No.3, pp. 574-580 https://doi.org/10.1109/20.846220
  10. J. F. Bourgat, Numerical Experiments of the Homogenization Method for Operators with Periodic Coefficients, Lecture Notes in Mathematics, vol. 704, Springer Verlag, Berlin, pp. 330-356 https://doi.org/10.1007/BFb0063630
  11. M. P. Bendsoe and N. Kikuchi, 'Generating optimal topologies in structural design using a homogenization method,' Computer Methods in Applied Mechanics and Engineering, vol. 71, pp. 197-224, 1988 https://doi.org/10.1016/0045-7825(88)90086-2
  12. Byun, J., Hahn, S., and Park, I, 1999, 'Topology Optimization of Electrical Devices Using Mutual Energy and Sensitivity,' IEEE Trans. Mag., Vol. 35, No.5, pp. 3718-3720 https://doi.org/10.1109/20.800642
  13. J. K. Byun, I. H. Park and S. Y. Hahn, 'Topology Optimization of Electrostatic Actuator Using Design Sensitivity', IEEE Trans. on Magnetics, Vol.38, No.2, March 2002, pp.1053-1056 https://doi.org/10.1109/20.996270