Calculations of Leakage Impedance of Rail to Earth in Ballastless Track by Finite Element Method

  • Teng Li
  • Mingli Wu
  • Fan He
  • Kejian Song
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 288)


The leakage resistance of rail to earth is an important parameter of electrified railways, which directly affects the characteristics of traction return current and railway signal track circuit. The ballastless track usually has a much larger value for the leakage resistance of rail to earth compared to ballasted track. In addition, its distributed capacitance effect of rail to earth should not be ignored. The rail has an anharmonic cross-section, and is installed on the spacing support of the concrete integrated ballastless bed in ballastless track structure. The leakage impedance of rail to earth cannot be calculated using a practically simple theory or method, such as the model of thin circular conductor of overhead transmission lines. This paper presents the test and calculation results of the rail leakage impedance in Jin–Qin (Tian jin city–Qin huangdao city) high-speed railway of China. The finite element model is established by using the Comsol Multiphysics simulation software. Comparison of the calculated and measured results shows that the finite element model for calculating the leakage impedance of rail to earth is an effective approach. The field measured data can be used in the future for the related analysis and calculation of traction networks and track circuits.


Electrified high-speed railway Ballastless track Leakage impedance of rail to earth Finite element model 



The work was supported in part by the Fundamental Research Funds for the Central Universities of China (E11JB0033, C13JB00250) and the BJTU Talent Funds (E11RC00060). We would like to thank the anonymous reviewers for their comments and suggestions.


  1. 1.
    Li J (2010) Processing Techniques for reinforcing nets of II-type CRTS track slabs for the Tianjin-Qinhuangdao passengers-oriented railway. Traffic Eng Technol Nat Defense 8(5):66–68 (in Chinese)Google Scholar
  2. 2.
    Xue Q, Han JH, Li ZQ (2010) Technology for production of CRTS II track slab for Shijiazhuang-Wuhan passenger dedicated line. Railway Stand Des 9:31–36 (in Chinese)Google Scholar
  3. 3.
    Cao DF, Wu ML, Zhan QC, Chu ZY, Chen JG, Yu YL, Cao XB (2007) Rail leakage resistance test in ballastless track experimental section of Sui-Yu line. Electr Railway 6:10–12 (in Chinese)Google Scholar
  4. 4.
    Hill RJ, Carpenter DC (1993) Rail track distributed transmission line impedance and admittance: theoretical modeling and experimental results. IEEE Trans Veh Technol 42:225–241CrossRefGoogle Scholar
  5. 5.
    Hill RJ, Carpenter DC, Tasar T (1989) Railway track admittance, earth-leakage effects and track circuit operation. In: Proc.1989 IEEE/ASME Joint, pp 55–62Google Scholar
  6. 6.
    Mariscotti A, Pozzobon P, Vanti M (2005) Distribution of the traction, return current in AT electric railway systems. IEEE Trans Power Delivery 20:2119–2128CrossRefGoogle Scholar
  7. 7.
    Silvester P (1972) Modal theory of skin effect in single and multiple turn coils. Trans Power Apparatus Syst (PAS) 91(1):29–34Google Scholar
  8. 8.
    Triantafyllidis DG, Papagiannis GK, Labridis DP (1999) Calculation of overhead transmission line impedances: a finite element approach. IEEE Trans Power Delivery 14(1):287–293CrossRefGoogle Scholar
  9. 9.
    Lüttgen AAE, Bantin CC, Balmain KG (2010) Electric fields from RF tag interrogators underneath an urban rail train. In: Proceedings of the 2010 IEEE antennas and propagation society international symposium (APSURSI), pp 1–4Google Scholar
  10. 10.
    Liu ZY, Zhan ZF (2006) Research on electrical resistivity of concrete and its application in durability appreciation of reinforced concrete. Concrete 10:13–16 (in Chinese)Google Scholar
  11. 11.
    Hou ZY, Gao SB, Ruan Y (2009) Study on rail impedance in ballastless track. Electr Railway 4:48–50 (in Chinese)Google Scholar
  12. 12.
    Yang HN, Yuan JS, Zong W (2001) Determination of three-layer earth model from Wenner four-probe test data. IEEE Trans Magn 37(5):3684–3687CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.School of Electrical EngineeringBeijing Jiaotong UniversityBeijingChina

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