- ISSN 0258-2724
- CN 51-1277/U
- EI Compendex
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- Indexed by Core Journals of China, Chinese S&T Journal Citation Reports
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| Citation: | ZHOU Qi, ZHAN Ying, WANG Aimin, HE Bin, ZHAO Liping, LIN Sheng. Localization Method for Metro Stray Current Leakage Points Based on Tellegen’s Theorem[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20260013
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To locate the metro stray current leakage points from the source, an equivalent resistance network model of the metro traction power supply system was first established. According to the characteristic of invariant topology of the equivalent resistance network before and after the rail insulation damage, the relationship between the rail-to-ground transition resistance and the branch voltages and currents of the traction substations and trains was derived based on Tellegen’s theorem. Secondly, by considering the spatiotemporal correspondence between train operations and the related electrical quantities of the traction substations and trains, a multi-time-section solving equation system for the rail-to-ground transition resistance was constructed. The locating interval was progressively subdivided by using the bisection method to increase the dimensionality of the equation system, and a genetic algorithm was combined to iteratively optimize the equation system to obtain the distribution of the rail-to-ground transition resistance along the line. Finally, the calculation results of the rail-to-ground transition resistance were compared with the identification threshold of stray current leakage points to realize the localization of stray current leakage points. Simulation verification was conducted based on actual metro line parameters and measured track inspection train data, and the applicability of the proposed localization method was analyzed from three aspects: stray current leakage point location, leakage severity, and leakage section length. The results show that under the three types of simulation scenarios of different leakage point locations, different leakage severities, and different leakage section lengths, the maximum localization errors are 9.375 m, 0 m, and 6.875 m, respectively, and the relative errors are all below 0.4%. It can be seen that the localization results of the proposed localization method are basically consistent with the preset locations. In summary, the method can realize the localization of the section where the stray current leakage points are located and can provide a theoretical basis for stray current mitigation in scenarios such as rail fastener damage and localized insulation degradation.
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