1.30

Impact Factor

1.60

CiteScore

# Transient Response Analysis Of ZPW-2000A Track Circuit Considering The Influence Of Line Coupling

Bin Zhao, Lei Chen  , Jingning Ou , Dong Wang , and Guanghao Yu

School of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China

Accepted: October 17, 2022
Publication Date: November 24, 2022

Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

## ABSTRACT

In order to solve the problem that the transient response of ZPW-2000A track circuit cannot be calculated directly in time domain, the modified nodal admittance method (MNA) combined with Q-D method is proposed to analyze the transient response of ZPW-2000A track circuit. Firstly, the hybrid model of traction network lines and ZPW-2000A track circuit is established. Secondly, using this model and Kirchhoff’s law, the MNA time domain equation is obtained. Through Laplace transform and decoupling, the complex frequency domain solution of the rail surface voltage at the receiving end of ZPW-2000A track circuit is obtained. Then, the numerical time domain solution of rail surface voltage is obtained by using Fourier transform and Q-D algorithm, and a simulation model is built to verify the correctness of the proposed method. Furthermore, the variation laws of the rail surface voltage at the receiving end affected by frequency, transmission distance and ballast resistance are analyzed. Finally, when the train enters and leaves the track section, there is a transient process, which can provide a reference for the train occupancy inspection and when the air core coil is in fault state, its transient response is different from that in normal state, which provides a reference for fault detection of track circuit.

Keywords: Track circuit; Multi-conductor transmission line; Transient response; Modified nodal admittance equation; Q-D algorithm

## REFERENCES

1. [1] Y. C. Deng, Z. G. Liu, and K. Huang, (2018) “Study on electrical parameters calculation of traction network based on the multi-conductor loop circuit method" Journal of the China Railway Society 40(8): 9. DOI: 10.3969/j.issn.1001-8360.2018.08.005.
2. [2] Z. C. Wang, J. Guo, and Y. D. Zhang, (2019) “Transient analysis of ZPW-2000 track circuit based on FDTD interface method" Journal of Southwest Jiaotong University 54(1): 200–205+222. DOI: 10.3969/j.issn.0258-2724.20180020.
3. [3] H. Qi and Y. P. Zhang, (2018) “Transient analysis for track circuit based on precise time-integration" Control Engineering 25(12): 7. DOI: 10.14107/j.cnki.kzgc.150802.
4. [4] B. Zhao and Y. P. Zhang, (2016) “Transient analysis of track circuit based on FFT & Q-D algorithm" Journal of the China Railway Society 38(3): 78–83. DOI: 10.3969/j.issn.1001-8360.2016.03.011.
5. [5] X. Zhang. “Research on Lossy and Uniform Transmission Line Numerical Solution". (phdthesis). Chongqing University, 2003.
6. [6] X. Q. Lv and X. R.Wang, (2017) “State-space model of high-speed railway traction power-supply system" Proceedings of the CSEE 37(03): 857–869.
7. [7] Z. C. Wang, J. Guo, and R. Luo, (2016) “Study on EMTP modeling and lightning overvoltage of track circuit" Insulators and Surge Arresters (4): 152–158.
8. [8] Z. Mazloom, N. Theethayi, and R. Thottappillil, (2011) “Indirect Lightning-Induced Voltages Along a Railway Catenary-Track Multiconductor Transmission-Line System With Lumped Components" IEEE Transactions on Electromagnetic Compatibility 53(02): 537–539. DOI: 10.1109/TEMC.2011.2111457.
9. [9] L. Branˇcık. “Matlab based time-domain simulation of multiconductor transmission line systems”. In: The IEEE Region 8 EUROCON 2003. Computer as a Tool. 1.IEEE. 2003, 464–468.
10. [10] L. Branˇcık and B. Ševˇcık. “Fully time-domain simulation of multiconductor transmission line systems: Implicit wendroff and euler methods within modified nodal analysis”. In: Proceedings of the Joint INDS’11 &
ISTET’11. IEEE. 2011, 1–6.
11. [11] C. R. Paul. Analysis of multiconductor transmission lines.2007.
12. [12] R. Nuricumbo-Guillén, P. Gómez, F. P. Espino-Cortés, and F. A. Uribe, (2014) “Accurate Computation of Transient Profiles Along Multiconductor Transmission Systems by Means of the Numerical Laplace Transform" IEEE Transactions on Power Delivery 29(5): 2385–2393. DOI: 10.1109/TPWRD.2014.2313526.
13. [13] J. L. Liu. “Research on frequency-shift-keying track circuit interference from neighboring line and bypass circuit".(phdthesis). Beijing Jiaotong University, 2015.
14. [14] L. Brancik. “Solution of Voltage/Current Waves and Their Sensitivities in MTL Structures by using State-Variable Method”. In: 2008 18th International Conference Radioelektronika. 2008, 1–4. DOI: 10.1109/RADIOELEK.2008.4542729.
15. [15] P. Du, R. Barrio, and H. Jiang, (2017) “Accurate Quotient-Difference algorithm: error analysis, improvements and applications" Applied Mathematics & Computation 309: 245–271. DOI: 10.48550/arXiv.1606.08960.
16. [16] Y. P. Zhang, D.Wang, and B. Zhao, (2020) “Research on calculation of rail self impedance of track circuit considering the influence of earth" Journal of Railway Science and Engineering 17(11):9. DOI: 10.19713/j.cnki.43-1423/u.T20200075.
17. [17] B. Zhao, Z. Jia, and D.Wang, (2021) “Research on calculation of mutual impedance of rails in electrified railway track circuits" Journal of the China Railway Society 43(08): 54–61. DOI: 10.3969/j.issn.1001-8360.2021.08.007.
18. [18] W. K.W. adn J. Y. Chen, S. R. Liu, and Q. C. Fu, (2021) “Calculation of frequency-dependent impedance curve of rail track based on incremental permeability" Journal of the China Railway Society 43(12): 79–84. DOI: 10.3969/j.issn.1001-8360.2021.12.010.
19. [19] W. K. Wu. “Calculation of the frequency-dependent internal impedance parameters of conductors in traction network". (phdthesis). East China Jiaotong University, 2019.
20. [20] B. Zhao, Y. P. Zhang, and L. Wei, (2014) “Analysis on the time responses of track circuits" Journal of the China Railway Society 36(09): 68–72. DOI: 10.3969/j.issn.1001-8360.2014.09.13.
21. [21] L. L. Wang and Y. P. Zhang, (2014) “Modeling and analysis of track circuit transmission characteristics after lightning invasion" Insulators and Surge Arresters (06): 115–120+132.
22. [22] Y. P. Zhang, L. Wei, and B. Zhao, (2015) “Time domain analysis of track circuit based on finite difference method" Computer Engineering 41(06): 12–17. DOI: 10.3969/j.issn.1000-3428.2015.06.003.

1.6
2022CiteScore

60th percentile