## 5 Discussion
### Influence of the Fault Position and Line Structure  
In order to test the influence of the fault position and topology of power distribution line on the rate of the proposed method, expand the node scale to 100 after FIE-33 in the IEEE-33 node distribution network, and expand the node scale to 100 after FIE-34 in the IEEE-34 node distribution network. Then, set a single fault on the nearest downstream section of each FIE, each case is simulated 10 times and take the average time of the simulations--the results are shown in Figure 13.  
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Methods**Conditions** & **Single** & **Multiple** & **DG in** & **Topology** & **Information** & **Report Equipment with** \\  & **Fault** & **Faults** & **Network** & **Changes** & **Loss** & **Information Loss** \\ \hline Proposed method & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) \\ Method of [17] & \(\surd\) & \(\surd\) & \(\surd\) & & \(\surd\) & \\ Method of [18] & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \\ Method of [19] & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \\ Method of [20] & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \\ Method of [21] & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \\ Method of [22] & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \(\surd\) & \\ \hline \hline \end{tabular}
\end{table}
Table 10: Comparison with other fault location methods.  
As shown in Figure 13, the running time will increase as the FIE is far away from the substation, because the topology search algorithm starts detection from the substation side each time. Take the running time of about 0.1 s as an example--it corresponds to FIE-16 and FIE-24 in the IEEE-33 node distribution network, and there are eight FIEs on both upstream lines. Take the running time of about 0.2 s as an example, it corresponds to FIE-33 in the IEEE-33 node distribution network, there are 17 FIEs on the upstream line. Likewise, the time of about 0.1 s corresponds to FIE-11 and FIE-14 in the IEEE-34 node distribution network, and there are nine FIEs on both upstream lines. The time of about 0.2 s corresponds to FIE-26 and FIE-30 in the IEEE-34 node distribution network, and there are 18 FIEs on both upstream lines. Therefore, the results prove that the proposed method can be affected by the quantity of upstream FIEs.  
In addition, there are eight FIEs on the upstream line of FIE-16 and FIE-24 in the IEEE-33 node distribution network, and the running time is about 0.1 s. There are also eight FIEs on the upstream line of FIE-10 and FIE-13 in the IEEE-34 node distribution network, but the running time is less than 0.1 s. This is because of the difference in line structure--if there are more branches, the running time will also increase slightly.  
Therefore, we can draw the following conclusion that no matter how many nodes there are in the distribution line, the running time is only affected by the quantity of upstream FIEs and branches. In future work, we will continue to improve the fault location method, such as defining multiple start detection points in the main line to divide the distribution line into multiple sections, which will reduce the running time by multiple times.