Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Determining Kernel Function of Apparent Earth Resistivity Using Linearization

선형화를 이용한 대지저항률의 커널함수 결정

  • Received : 2012.05.15
  • Accepted : 2012.08.03
  • Published : 2012.08.25
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Abstract

A kernel function of apparent earth resistivity can be estimated using the apparent earth resistivity measured with Wenner's 4 point method. It becomes to solve a nonlinear system to estimate the kernel function of apparent earth resistivity. However it is not simple to get solution of nonlinear system with many unknown variables. This paper suggests the method of estimating kernel function by linearizing this nonlinear system. Finally, various examples of earth structure have been simulated to evaluate the proposed method in this paper.

Wenner의 4전극법으로 측정한 겉보기 대지저항률을 이용하여 대지저항률의 Kernel 함수를 추정할 수 있다. 이 때 커널함수를 추정하는 것은 비선형시스템을 푸는 과정으로 유도된다. 그러나 변수가 많은 비선형시스템은 해를 구하기가 쉽지 않다. 본 논문은 이 비선형시스템을 선형화하여 커널함수를 추정하는 방법을 제시한다. 마지막으로 제안한 방법을 평가하기 위하여 다양한 구조로 된 대지모델들을 시뮬레이션의 예로 사용한다.

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References

  1. B. Zhang, Z. Zhao, and X. Cui, "Diagnosis of breaks in substation's grounding grid by using electromagnetic method," IEEE Trans. on Magnetics, vol. 38, pp. 473-476, 2002. https://doi.org/10.1109/20.996125
  2. B. Zhang, X. Cui, L. Li, and J. L. He, "Parameter estimation of horizontal multilayer earth by complex image method," IEEE Trans. on Power Delivery, vol. 20, pp. 1394-1401, 2005. https://doi.org/10.1109/TPWRD.2004.834673
  3. M. B. Kostic and G. H. Shirkoohi, "Numerical analysis of a class of foundation grounding systems surrounded by two-layered earth," IEEE Trans. on Power Delivery, vol. 8, pp. 1080-1087, 1993. https://doi.org/10.1109/61.252634
  4. M.-J. Kang, C.-J. Boo, and H.-C. Kim, "A Kernel Function Based Estimation Algorithm for Multi-layer Soil Structure," Lecture Notes In Bioinformatics, vol. 6840, no. 1, pp. 276-281, 2012.
  5. I. F. Gonos and I. A. Stathpulos, "Estimation of multilayer soil parameters using genetic algorithms," IEEE Trans. on Power Delivery, vol. 20, pp. 100-106, 2005. https://doi.org/10.1109/TPWRD.2004.836833
  6. F. Dawalibi, "Earth resistivity measurement interpretation techniques," IEEE Trans. on Power Apparatus Systems, vol. 103, pp. 374-382, 1984. https://doi.org/10.1109/TPAS.1984.318254
  7. T. Takahashi and T. Kawase, "Analysis of apparent resistivity in a multi-layer earth structure," IEEE Trans. on Power Delivery, vol. 5, pp. 604-612, 1990. https://doi.org/10.1109/61.53062
  8. F. P. Dawalibi, "Electromagnetic fields generated by overhead and buried short conductors," IEEE Trans. on Power Delivery, vol. 1, pp. 105-119, 1986.
  9. 부창진, 김호찬, 강민제, "Determination of multilayer earth model using genetic algorithm," International Journal of Fuzzy Logic and Intelligent Systems, vol. 7 no. 3, pp. 171-175, 2007. https://doi.org/10.5391/IJFIS.2007.7.3.171
  10. S. C. Chapra, Applied Numerical Methods with MATLAB for Engineers and Scientists, 2nd ed. New York: McGrow-Hill, pp. 270-276, 2008.