The Transactions of The Korean Institute of Electrical Engineers (전기학회논문지)

The Korean Institute of Electrical Engineers (대한전기학회)
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Optimal Design of Dielectric shape and Topology using Smooth Boundary Topology Optimization Method

부드러운 경계 위상 최적설계기법을 이용한 유전체 형상 및 위상 최적설계

  • Published : 2009.10.01
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Abstract

This paper deals with a new methodology for topology optimization in which the topology of the design domain may change during the shape optimization process. To achieve this, the concept of the topological gradient is introduced to compute the sensitivity of an objective function when a small hole is drilled in the domain. Based on shape and topological sensitivity values, the shape and topology of the design domain may be simultaneously changed during design iterations if necessary. To verify the advantages and also to facilitate understanding of the method itself, two electrostatic design problems have been tested by using 2D finite element analysis: the first is the inverse problem of a simple dielectric model and the second is the rotor design of a MEMS actuator.

Keywords

References

  1. Dyck D.N., et al., 'A method of computing the sensitivity of electromagnetic quantities to changes in material and sources,' IEEE Trans. Magn., 1994, 30, pp.3415-3418 https://doi.org/10.1109/20.312672
  2. Dong-Hun Kim, et al., 'A Novel for Material Updating in Source Distribution Optimization of Magnetic Devices Using Sensivitity Analysis,' IEEE Trans. Magn., vol. 41, no. 5, pp. 1752-1755, 2005 https://doi.org/10.1109/TMAG.2005.846036
  3. J.-K. Byun et al., 'Topology optimization of electrical devices using mutual energy and sensitivity,' IEEE Trans. Magn., vol. 35, no. 5, pp. 3718-3720, 1999 https://doi.org/10.1109/20.800642
  4. J.-H. Lee et al., 'Faster calculation of sensitivity in the source current distribution problem using reciprocity theorem,' IEEE Trans. Magn., vol. 37, no. 5, pp. 3596-3599, 2001 https://doi.org/10.1109/20.952670
  5. CEA J., et al., 'The shape and topological optimizations connection,' Comput. Methods Appl. Mech. Eng., 2000, 118, pp. 713-726 https://doi.org/10.1016/S0045-7825(99)00357-6
  6. J. Cea et al., 'The shape and topological optimizations connection,' Elsevier Comput. Methods Appl. Mech. Eng., vol. 118, pp. 713-726, 2000 https://doi.org/10.1016/S0045-7825(99)00357-6
  7. S. Garreau et al., 'The topological asymptotic for PDE systems: The elasticity case,' SIAM J. Control Optim., vol. 39, pp. 1756-1778, 2001 https://doi.org/10.1137/S0363012900369538
  8. KIM D., et al., 'Generalized continuum sensitivity formula for optimum design of electrode and dielectric contours,' IEEE Trans. Magn., 39, pp. 1281-284, 2003 https://doi.org/10.1109/TMAG.2003.810213
  9. KIM C., et al., 'B-spline parameterization of finite element models for optimal design of electromagnetic devices,' IEEE Trans. Magn., 35, pp. 3763-3765, 1999 https://doi.org/10.1109/20.800657
  10. MagNet User's Manual, Infolytica Corporation, 2009
  11. PARK I., et al., 'Implementation of continuum sensitivity analysis with existing finite element code,' IEEE Trans. Magn., 29, pp. 1787-1790, 1993 https://doi.org/10.1109/20.250752