• Title/Summary/Keyword: Pocklington's equation

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Numerical Calculation of Longitudinal Current Distribution in Grounding Electrode for Analyzing the Grounding Impedance (접지임피던스 분석을 위한 접지전극의 전류분포 수치계산)

  • Cho, Sung-Chul;Lee, Bok-Hee
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.27 no.1
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    • pp.46-52
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    • 2013
  • The current distribution passing through grounding electrode is required for calculating an impedance of grounding electrode using the electromagnetic field model. In this paper the numerical calculation for currents passing through a grounding electrode as a function of frequency was given. The proposed approach is based on the wire antenna model(AM) in the frequency domain. The Pocklington's equation driven from the wire antenna theory was numerically calculated by the Galerkin's method. The triangle function was applied to both the basis function and the weighting function. The current distribution of a horizontal ground electrode was simulated in MATLAB. Also these results were compared with the data obtained from the CDEGS HIFREQ calculation.

Calculation of Electric Potential Rise of Horizontal Grounding Electrode Caused by Lightning Stroke Currents (뇌격전류에 의한 수평접지극의 전위상승 계산)

  • Lee, Bok-Hee;Cho, Sung-Chul
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.27 no.12
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    • pp.81-86
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    • 2013
  • An electric potential rise of the grounding electrode developed by the lightning stroke currents should be calculated for the purpose of effective protection of electrical and electronic equipment. In this paper, the electromagnetic model was applied to calculate the harmonic impedance of grounding electrode. Also the empirical equation related to the permittivity and resistivity of soil was used. The lightning current waveforms, which are expressed by the Heidler's equation, were used in order to calculate accurately transient electric potential rises. The transient voltage was obtained by using the simulated harmonic impedance and the lightning current in frequency domain. Finally, the transient voltages of horizontal grounding electrode(10m) under lightning stroke currents were calculated by IFFT(Inverse Fast Fourier Transform).

A analysis of Thin-Straight Monopole antenna on a conducting box Using the Wire-Grid Method (Wire-Grid 방법을 이용한 도체 상자에 부착된 선형 모노폴 안테나 해석)

  • 이승엽;김경재;이영훈;허선종;박한규
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.11
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    • pp.1669-1676
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    • 1993
  • In this paper, a thin-straight monopole antenna attached to a conducting box is analyzed using a moment method with the pocklington integral expression for the exact Green's function. A modeling of a conducting box is based on a Wire-Grid method for an efficient calculation procedure. A system of linear equation is obtained using the piecewise sinusoidal basis function. And a Junction basis function is enforcing to represent the physical current on the edge of the conducting box. Especially, the junction basis functions are overlapped for the current continuity preserving on the vertexes. Numerical results are obtained for the current distribution on the unified antenna/conducting box system, input impedance and radiation pattern. The results are compared with the known data.

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Numerical Calculation for Grounding Impedance of a Horizontal Ground Electrode Based on the Electromagnetic Field Theory (전자계 이론을 기반으로 한 수평접지전극의 접지임피던스 수치계산)

  • Lee, Bok-Hee;Cho, Sung-Chul
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.28 no.2
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    • pp.76-83
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    • 2014
  • This paper deals with the numerical method of calculating the frequency-dependent impedances of grounding electrodes. The proposed electromagnetic field approach is based on the solutions to Maxwell's equations obtained from the method of moment in the frequency domain. In order to evaluate the quality of the proposed simulation method, the frequency-dependent impedances of horizontally-buried ground electrodes were presented. The program for calculating the current distributions and impedances of grounding electrodes was implemented in MATLAB. The grounding impedances of two 10m and 50m long horizontal ground electrodes were measured and simulated in the frequency range from 100Hz to 10MHz for easy analysis and comparison. Also the simulated results were compared with those calculated from a sophisticated computer program CDEGS (HIFREQ module). As a result, the resultant results of frequency-dependent impedances obtained by using the numerical simulation method proposed in this work are in good agreement with experimental data. The validity of the approach techniques was confirmed.

Numerical Calculation for Input Impedance of a Conductor Located in the Loss Media (손실 매질에 위치한 도체의 입력임피던스 수치계산)

  • Ahn, Chang-Hwan
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.3
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    • pp.230-236
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    • 2013
  • This paper presents the numerical calculation for input impedance of a conductor located in the loss media by using the program with MATLAB. The input impedances of the conductor were numerically calculated with the moment of method. To increase an accuracy of results, the Galerkin's method which both the basic function and the weight function are the triangle function was applied. And by applying the modified image method, image sources of the conductor located in air were considered. According to the comparison between the current distributions at the conductor which were calculated with the MATLAB program and the NEC program, the reliability of the self-made program with MATLAB was obtained. In case of the conductor located in soil, which length are 1 m and 2 m, the input impedance were simulated as a function of both a conductivity and a frequency. Finally, input impedances and phases of the conductor located in soil were measured, and those results were compared with simulated results which calculated under the same conditions.