Compared with AC power system, DC distribution network is a low-damping system without natural zero crossing. The DC fault current will reach its peak value within a few milliseconds, posing a great threat to power electronic devices. Therefore, the rapid and high-precision identification of DC line faults is one of the technical difficulties faced by the VSC based DC distribution network. In this paper, a new fault location method based on traveling wave differential current with Hausdorff distance and cubic spline interpolation is proposed. First, the forward and reverse traveling waves at both ends of the VSC based DC lines are extracted, the Karenbauer transform is used to decouple the positive and negative electrodes to obtain accurate fault information. Then, the internal relationship between the differential current and the fault current is obtained according to the principle of traveling wave transmission invariance, the cubic spline interpolation algorithm is used to solve the traditional sampling frequency limitation, and the positive differential current in the interception time window is smoothly displaced. At last, the Hausdorff distance algorithm is used to analyze the correlation between the translational differential current and the reverse differential current. The fault location corresponds to the highest correlation. The proposed method uses the time-domain information at both ends of the VSC based DC lines, and it is less affected by the transition resistance. Lots of simulation experiments prove that it has a strong anti-noise interference ability and high reliability, and is less affected by the sampling frequency after cubic spline interpolation. Compared with traveling wave algorithm based on Pearson correlation coefficient, the method in this paper shows a significantly shortened error, 27% on average.

中文翻译：

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具有Hausdorff距离和三次样条插值的行波差分电流基于VSC的直流配电网络故障定位。

与交流电源系统相比，直流配电网络是一种无阻尼的自然零交叉系统。直流故障电流将在几毫秒内达到峰值，这对电力电子设备构成了极大的威胁。因此，快速，高精度地识别直流线路故障是基于VSC的直流配电网面临的技术难题之一。提出了一种基于具有Hausdorff距离和三次样条插值的行波差分电流的故障定位新方法。首先，提取基于VSC的DC线两端的正向和反向行波，使用Karenbauer变换对正负电极进行解耦以获得准确的故障信息。然后，根据行波传输不变性原理求出差动电流与故障电流的内在联系，采用三次样条插值算法解决了传统的采样频率限制，在截取时间窗内正向差动电流平稳流离失所。最后，利用Hausdorff距离算法分析了平移差动电流与反向差动电流之间的相关性。故障位置对应于最高相关性。所提出的方法在基于VSC的DC线路的两端使用时域信息，并且受过渡电阻的影响较小。大量的仿真实验证明，它具有很强的抗噪干扰能力和较高的可靠性，并且三次样条插值后受采样频率的影响较小。与基于皮尔森相关系数的行波算法相比，该方法的误差显着缩短，平均误差为27％。