A new method for the fault location in a short cable line is proposed in this study. Based on the transmission line theory and circuit theorems, an analytical expression for estimating the fault location in the cable line is derived. According to the problem of incorrect estimation in the high-frequency band, the corresponding essential reason is comprehensively explained. By solving this problem, the fault location can be obtained accurately by the proposed method. To validate the proposed method, some experiments with a 50 Ω coaxial cable are implemented and the accuracy of the proposed method is tested. Meanwhile, it has been validated in these experiments that the proposed method is independent of the fault impedance and terminal impedances.

中文翻译：

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估算电缆线路故障位置的解析表达式

提出了一种用于短电缆故障定位的新方法。基于传输线理论和电路定理，推导了用于估计电缆线路中故障位置的解析表达式。针对高频段估计不正确的问题，对相应的根本原因进行了综合说明。通过解决该问题，所提出的方法可以准确地确定故障位置。为了验证该方法的有效性，对50Ω同轴电缆进行了一些实验，并测试了该方法的准确性。同时，在这些实验中已经验证了所提出的方法与故障阻抗和终端阻抗无关。