In this paper, an approximate modeling approach called simplified multiconductor transmission line model (simplified MTL) is proposed for transient analyses of multiple grounding electrodes. Since this approach is in the frequency domain, the effect of soil dispersion (frequency variation of soil electrical parameters) is easily incorporated. In addition, the soil ionization effect is treated as gradually increasing radius of the electrode. With the use of this approach, predicting formulae for effective length of multiple grounding electrodes considering both ionization and dispersion are proposed for the first time. Finally, combining the extracted formulae with the apparent resistivity in two‐layer soils, effective length in such soils is easily predicted.

中文翻译：

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考虑土壤不同方面的多个接地电极有效长度的综合公式：简化的多导体传输线-智能水滴法

在本文中，提出了一种近似的建模方法，称为简化的多导体传输线模型（简化的MTL），用于对多个接地电极进行瞬态分析。由于这种方法是在频域中，因此很容易考虑土壤分散的影响（土壤电参数的频率变化）。此外，土壤电离效应被视为逐渐增加电极的半径。利用这种方法，首次提出了同时考虑电离和分散的多个接地电极有效长度的预测公式。最后，将提取的公式与两层土壤中的视电阻率相结合，可以轻松预测此类土壤中的有效长度。