설계민감도해석과 요소망 변형법을 이용한 전자소자의 3차원 형상최적화

3D Shape Optimization of Electromagnetic Device Using Design Sensitivity Analysis and Mesh Relocation Method

  • 류재섭 (충북대 전기공학과) ;
  • ;
  • 고창섭 (충북대 전기전자 컴퓨터공학부)
  • 발행 : 2003.07.01

초록

This paper presents a 3D shape optimization algorithm for electromagnetic devices using the design sensitivity analysis with finite element method. The structural deformation analysis based on the deformation theory of the elastic body under stress is used for mesh renewing. The design sensitivity and adjoint variable formulae are derived for the 3D finite element method with edge element. The results of sensitivity analysis are used as the input data of the structural analysis to calculate the relocation of the nodal points. This method makes it possible that the new mesh of analysis region can be obtained from the initial mesh without regeneration. The proposed algorithm is applied to the shape optimization of 3D electromagnet pole to net a uniform flux density at the target region.

키워드

참고문헌

  1. J.A.Ramirez, et al., 'Sensitivity Analysis for the Automatic Sharp Design of Electromagnetic Divices in 3D Using FEM', IEEE Trans. on Magn, Vol.33, No.2, pp.1856-1859, 1997 https://doi.org/10.1109/20.582644
  2. C. S. Koh, et al., 'Design sensitivity analysis for shape optimization of 3-D electromagnetic devices', IEEE Trans. on Magn, Vol.29, No.2, pp.1753-1757, 1993 https://doi.org/10.1109/20.250744
  3. Il-han Park, et al., 'Stator Slot Shape Design of Induction Motors or Iron Loss Reduction,' IEEE Trans. on Magn., Vol.31, No.3, pp. 2004-2007, 1995 https://doi.org/10.1109/20.376436
  4. 박일한, 전자소자의 형상최적화를 위한 민감도해석, 박사학위논문,서울대학교, 1990
  5. Konrad Weeber and S.R.H. Hoole, 'A Structural Mapping Technique for Geometric Parameterization in the Optimization of Magnetic Devices', International Journal for Numerical Methods in Engineering, vol.33, pp.2145-2179, 1992 https://doi.org/10.1002/nme.1620331010
  6. Konrad Weeber, S.R.H. Hoole, 'Geometric Parametrization and Constrained Optimization Tehniques in the Design of Salient Pole Synchronous Machines,' IEEE Trans. on Magn., Vol. 28, No.4, pp. 1948-1960, 1992 https://doi.org/10.1109/20.144753
  7. Yingying Yao, 고창섭, Dexin Xie, '전자소자의 형상최적화를 위한 3차원 요소의 재생성법', 대한전기학회 하계학술대회 논문집 B권, pp.841-843, 2002
  8. O.C.Zienkiewicz, The Finite Element Method, McGraw-Hill, 1997
  9. 河瀨順洋, 最新 三次元有限要素法による 電氣·電子器機 の實用解析, 森北出版株式會社, 1997
  10. J.S. Przemieniecki, Theory of Matrix Sturctural analysis, McGraw-Hill, 1985