An Improvement of a Conductor Subdivision Method for Calculating the Series Impedance Matrix of a Transmission Line Considering the Skin and Proximity Effects

  • Miki Toru
    Electric Power Engineering Reseach Lab., CRIEPI
  • Noda Taku
    Electric Power Engineering Reseach Lab., CRIEPI

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Other Title
  • 表皮効果および近接効果を考慮可能な導体分割に基づく線路直列インピーダンス計算手法の改良
  • ヒョウヒ コウカ オヨビ キンセツ コウカ オ コウリョ カノウナ ドウタイ ブンカツ ニ モトズク センロ チョクレツ インピーダンス ケイサン シュホウ ノ カイリョウ

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This paper describes an improvement of a conductor-subdivision-based method for calculating the frequency-dependent series impedance matrix of arbitrary cross-section conductors considering both skin and proximity effects. Analytical skin-effect formulas are available, but they are only for some simple conductor shapes and the proximity effect is ignored. Conductor-subdivision-based approaches can take into account both skin and proximity effects and are applicable to arbitrary cross-section conductors. However, at high frequencies where skin depth becomes very small, the subdivision-based approaches require an unrealistic number of subdivision. The proposed improvement assumes a current distribution obtained by an analytical skin-effect formula at surface subconductors for accurately representing the skin effect at high frequencies. Numerical examples show that the proposed improvement accurately reproduces the skin and proximity effects with a small number of subdivision even at high frequencies.

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