The Two Dimensional Analysis of RF Passive Device using Stochastic Finite Element Method

확률유한요소법을 이용한 초고주파 수동소자의 2차원 해석

  • 김준연 (서울시립대 공대 전자공학과 석사) ;
  • 정철용 (서울시립대 공대 전자공학과 석사) ;
  • 이선영 (서울시립대 공대 전자공학과) ;
  • 천창렬 (서울시립대 공대 전자공학과)
  • Published : 2000.04.01

Abstract

In this paper, we propose the use of stochastic finite element method, that is popularly employed in mechanical structure analysis, for more practical designing purpose of RF device. The proposed method is formulated based on the vector finite element method cooperated by pertubation analysis. The method utilizes sensitivity analysis algorithm with covariance matrix of the random variables that represent for uncertain physical quantities such as length or various electrical constants to compute the probabilities of the measure of performance of the structure. For this computation one need to know the variance and covariance of the random variables that might be determined by practical experiences. The presenting algorithm has been verified by analyzing several device with different be determined by practical experiences. The presenting algorithm has been verified by analysis several device with different measure of performanes. For the convenience of formulation, two dimensional analysis has been performed to apply it into waveguide with dielectric slab. In the problem the dielectric constant of the dielectric slab is considered as random variable. Another example is matched waveguide and cavity problem. In the problem, the dimension of them are assumed to be as random variables and the expectations and variances of quality factor have been computed.

Keywords

SFEM;Perturbation method;FEM;RF passive device

References

  1. Il-han Park, 'Sensitivity Analysis for Shape Optimization of Electromagnetic Devices', Ph. D. Dissertation, Seoul National University,1990
  2. Hong-bae Lee, 'Computer Aided Optimal Design Methods for Waveguide Structures', Ph. D. Dissertation Seoul National University, 1995
  3. Dae-Yeong Jeon, Il Han Park, Ki Sik Lee, Hyun Kyo Jung, Song Yop Hahn, 'Stochastic FEM Analysis for Electromagnetic Force Variance in Electromechanical Devices', COMPUMAG. The 11th Conf., p.571-572, Nov. 03-06, 1997-Rio de Janeiro
  4. Jianming Jin, 'The Finite Element Method in Electromagnetics', John Wiley & Sons, 1993
  5. 이영호, '균일한 전자장 분포를 위한 초고주파공동기 2차원 형상 최적화에 관한 연구', 전자공학과 석사논문, 서울시립대학교,1996
  6. Michael Kleiber and Tran Duong Hien, 'The Stochastic Finite Element Method', John Wiley & Sons, 1992
  7. Tran Duong Hien and Michal Kleiber, 'Stochastic finite element modeling in linear transient heat transfer', Comput. Methods Appl.Mech Engrg.144(1997) 111-124 https://doi.org/10.1016/S0045-7825(96)01168-1