3D Optimal Design of Transformer Tank Shields using Design Sensitivity Analysis

  • Yingying Yao (School of Electrical Engineering, Shenyang University of Technology) ;
  • Ryu, Jae-Seop (School of Electrical and Computer Engineering, Chungbuk National University) ;
  • Koh, Chang-Seop (School of Electrical and Computer Engineering, Chungbuk National University) ;
  • Dexin Xie (School of Electrical and Computer Engineering, Chungbuk National University)
  • Published : 2003.01.01

Abstract

A novel 3D shape optimization algorithm is presented for electromagnetic devices carry-ing eddy current. The algorithm integrates the 3D finite element performance analysis and the steepest descent method with design sensitivity and mesh relocation method. For the design sensitivity formula, the adjoint variable vector is defined in complex form based on the 3D finite element method for eddy current problems. A new 3D mesh relocation method is also proposed using the deformation theory of the elastic body under stress to renew the mesh as the shape changes. The design sensitivity f3r the sur-face nodal points is also systematically converted into that for the design variables for the parameterized optimization application. The proposed algorithm is applied to the optimum design of the tank shield model of the transformer and the effectiveness is proved.

Keywords

References

  1. S. Wang and J. Kang, 'Shape optimization of BLDC motor using 3-D finite element method,' IEEE Trans. on Magn., Vol. 36, No. 4, pp. 1119-1123, 2000 https://doi.org/10.1109/20.877637
  2. N. Takahashi, T. Kitamura, M. Horii, J. Takehara, 'Optimal design of tank shield model of transformer,' IEEE Trans. on Magn., Vol. 36, No. 4, pp. 1089-1093, 2000 https://doi.org/10.1109/20.877630
  3. Chang Seop Koh, Osama A. Mohammed, and Song-Yop Hahn, 'Nonlinear shape design sensitivity analy-sis of magnetostatic problems using boundary ele-ment method,' IEEE Trans. on Magn., Vol. 31, No. 3, pp. 1944-1947, 1995 https://doi.org/10.1109/20.376421
  4. Jin-Kyu Byun, Kyung Choi, Hee-Succ Roh, and Song-Yop Hahn, 'Optimal design procedure for a practical induction heating cooker,' IEEE Trans. on Magn., Vol. 36, No. 4, pp. 1390-1393, 2000 https://doi.org/10.1109/20.877698
  5. Chun-Deok Suh, Hong-Bae Lee, Song-Yop Hahn, Tae-Kyung Chung, and Il-Han Park, 'Determination of levitated molten metal shape in axisymmetric in-duction heating system using sensitivity analysis,' IEEE Trans. on Magn., Vol. 31, No. 3, pp. 2158-2161, 1995 https://doi.org/10.1109/20.376474
  6. Il-Han Park, ln-Gu Kwak, Hyang-Beom Lee, Ki-Sik Lee and Song-Yop Hahn, 'Optimal design of tran-sient eddy current systems driven by voltage source,' IEEE Trans. on Magn., Vol. 33, No. 2, pp. 1624-1629, 1997
  7. C.S. Koh, S.Y. Hahn, K.S. Lee, and K. Choi, '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
  8. S. Dappen and G. Henneberger, 'A sensitivity ap-proach for the optimization of loss efficiencies,' IEEE Trans. on Magn., Vol. 33, No. 2, pp. 1836-1839, 1997 https://doi.org/10.1109/20.582637
  9. Young-Seek Chung, Chang-Yul Cheon, Il-Han Park, and Song-Yop Hahn, 'Optimal shape design of mi-crowave device using FDTD and design sensitivity analysis,' IEEE Trans. on Microwave Theory and Techniques, Vol. 48, No. 12, pp. 2289-2296, 2000 https://doi.org/10.1109/22.898977
  10. Seok-Bae Park, Hyang-Beom Lee, Song-Yop Hahn, and Il-Han Park, 'Stator slot shape design of induc-tion motors for iron loss reduction,' IEEE Trans. on Magn., Vol. 31, No. 3, pp. 2004-2007, 1995 https://doi.org/10.1109/20.376436
  11. 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, No. 10, pp. 2145-2179, 1992 https://doi.org/10.1002/nme.1620331010
  12. O. Biro and K. Preis, 'On the use of the magnetic vector potential in the finite element analysis of three-dimensional eddy currents,' IEEE Trans. On Magn., Vol. 25, No. 4, pp. 3145-3159, 1989 https://doi.org/10.1109/20.34388
  13. O.C. Zienkiewicz, The Finite Element Method (third edition), McGraw-Hili Book Company (UK), 1997
  14. P.H. Adeli, Advances in Design Optimization, Chapman & Hall, 1994