It has been reported that when a grounded human is exposed to an electric field at power frequency, a short-circuit current flowing from the feet to the ground is proportional to the square of his or her height. The current, however, should also vary with the body surface area, that is, body shape, even in people with the same height. In the present study, we confirmed this hypothesis using an analytical solution derived from a semi-ellipsoidal model. The short-circuit currents were calculated for various numerical human body models in which the horizontal length of a voxel was varied from 1.8 to 3.0 mm, and the results for different body shapes were compared. Finally, we derived an approximate expression for estimating the short-circuit current from the left-right width (2b), frontal thickness (2c), and height (a) of a human from the analytical solution. The short-circuit currents obtained from the approximate expression are consistent with those obtained from numerical calculations for 48 differently shaped human body models with a correlation coefficient of 0.9942. Hence, we concluded that the short-circuit current can be determined depending on the similarity ratio (a/b) and the ellipticity ratio (c/b) of the human body as well as the height. This finding is consistent with the numerical human body models that have been used previously, in which the similarity and ellipticity ratios were very close. Therefore, we can make the limited conclusion that the short-circuit current is proportional only to the square of the height. Additionally, numerical calculations showed that the short-circuit current is the same whether one foot or both feet are grounded.

中文翻译：

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基于半椭球模型的不同体型接地人体ELF均匀电场引起的短路电流估计

据报道，当一个接地的人暴露在工频电场中时，从脚部流向地面的短路电流与其身高的平方成正比。然而，电流也应该随着体表面积，即体形而变化，即使在相同身高的人中也是如此。在本研究中，我们使用源自半椭球模型的解析解证实了这一假设。计算了体素水平长度从 1.8 到 3.0 mm 变化的各种数值人体模型的短路电流，并比较了不同体型的结果。最后，我们从左右宽度（2b），正面厚度（2c）推导出了估计短路电流的近似表达式，和从解析解算出的人的身高 (a)。近似表达式得到的短路电流与48个不同形状的人体模型数值计算得到的结果一致，相关系数为0.9942。因此，我们得出结论，短路电流可以根据人体的相似比（a/b）和椭圆率（c/b）以及身高来确定。这一发现与之前使用的数值人体模型一致，其中相似性和椭圆率比非常接近。因此，我们可以做出有限的结论，即短路电流仅与高度的平方成正比。此外，