Journal of the Korea Institute of Information and Communication Engineering (한국정보통신학회논문지)

The Korea Institute of Information and Commucation Engineering (한국정보통신학회)
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Fast computation method for the voltage-current analysis on the rectangular power-ground plane

직사각형의 전력-접지층에 대한 전압전류 특성해석을 위한 빠른 계산방법

  • 서영석 (영남대학교 전자정보공학부)
  • Published : 2005.02.01
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Abstract

The existing analytical expression for the voltage between the power and ground plane consist of metal-dielectric-metal board is expressed in the two dimensional infinite series. To reduce the computation time, the two dimensional infinite series is converted to the one dimensional infinite series using the summation formula of Fourier series. We applied these equations to the analysis of voltage between the $9‘{\times}4'$ size power-ground plane. The derived one dimensional infinite series shows the more rapid convergency and the more accurate result than the two dimensional infinite series. This equation can be applied to the power-ground plane analysis which needs a lot of the repeating computation.

기존의 금속${\cdot}$유전체${\cdot}$금속 기판형태의 전력${\cdot}$접지층 사이의 전압표현식은 2차원 무한급수 형태로 표시된다. 계산시간 단축을 위해 Fourier 급수합 공식을 이용하여 2차원 무한급수를 1차원 무한급수로 변형시켰다. 이 식들을 $9‘{\times}4'$크기를 가지는 전력${\cdot}$접지층에 대한 전압 계산에 적용했다. 유도된 1차원 급수 계산식은 기존의 2차원 급수식에 비해 빠른 수렴성과 정확한 결과를 보였다. 이 결과는 반복적인 계산이 많이 필요한 전력${\cdot}$접지층 해석에 유용하게 적용될 수 있을 것이다.

Keywords

References

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