Consideration of harmonic distortions in electromagnetic simulation of artificial railroad structures

This study aims to develop models for defining harmonic distortions in electromagnetic modeling of artificial railroad structures, taking into account high harmonic generation of electric locomotives. The research objects included tunnels and galleries, as well as through-type and deck-type truss bridges. Calculations of sites having a flat relief were carried out for comparison. When developing digital models, an approach representing power supply systems in phase coordinates in the Fazonord software package (5.3.7.0-2024 version) was used. Sets of conductors grounded on both sides were used for constructions. Electromagnetic fields were defined by simulation of five down trains weighing 3192 tons and moving at intervals of 22 minutes. For several constructions, the maximum working values of electric field intensity at the studied sites exceeded the permissible value of 5 kV/m, i.e., 9.8 kV/m for the deck-type truss bridge and 5.9 kV/m for that of the tunnel type. Due to extended train intervals, magnetic field intensity had never exceeded the specified limit of 80 A/m. Our study revealed that high harmonics of electric locomotives provoke severe distortions in the hodographs of magnetic fields, while artificial structures significantly change field distribution in the section of the electric traction network. Thus, digital models of traction-energy systems were developed. These models make it possible to accurately define the dynamics of changes in electromagnetic field intensity in a space surrounding the electric traction network of 25 kV inside artificial structures consisting of many metal parts. The computer technology developed by the authors can be effectively used in the development of measures to ensure electromagnetic safety in artificial structures of electrified railway transport.

1. Zakirova A.R. Electrotechnical personnel protection from damage effect of electromagnetic field. Ekaterinburg: Ural State University of Railway Transport; 2018, 171 p. (In Russ.). EDN: YLMQKS.

2. Kuznetsov K.B., Zakirova A.R. Assessment of electromagnetic environment and the likelihood of occupational diseases. Bulletin of the Ural State Transport University. 2014;4:82-90. (In Russ.). EDN: TEWMNJ.

3. Buyakova N.V., Zakaryukin V.P., Kryukov A.V. Electromagnetic safety in railway power supply systems: modeling and control. Angarsk: Angarsk State Technical Academy; 2018, 382 р. (In Russ.). EDN: YUYSPB.

4. Zakirova A.R., Bukanov Zh.M. Research of electromagnetic fields at workplaces of service personnel of contact lines. Bulletin of the Ural State Transport University. 2016;2:73-83. (In Russ.). http://doi.org/10.20291/2079-0392-2016-2-73-83. EDN: WBWUBN.

5. Sidorov A.I., Zakirova A.R., Gorozhankin A.N. Investigation of the energy load of an electromagnetic field near the contact network. Bulletin of South Ural State University. Series: Power Engineering. 2024;24(1):80-87. (In Russ.). http://doi.org/10.14529/power240109. EDN: LKWVHZ.

6. Zhang Lu, Zhu Yun, Chen Song, Zhang Dan. Simulation and analysis for electromagnetic environment of traction network. In: 34th General Assembly and Scientific Symposium of the International Union of Radio Science. 2021. http://doi.org/10.23919/URSIGASS51995.2021.9560338.

7. Oancea C.D., Calin F., Golea V. On the electromagnetic field in the surrounding area of railway equipment and installations. In: International Conference on Electromechanical and Energy Systems. 2019. http://doi.org/10.1109/SIELMEN.2019.8905871.

8. Apollonskii S.M. Estimation of the electromagnetic environment on objects of the railway electrified on direct current. In: IEEE EUROCON. St. Petersburg: IEEE; 2009, p. 1549-1555. http://doi.org/10.1109/EURCON.2009.5167847.

9. Lu Nan, Zhu Feng, Yang Chengpan, Yang Yang, Lu Hede, Wang Zixuan. The research on electromagnetic emission of traction network with short-circuit current pulse. IEEE Transactions on Transportation Electrifi-cation. 2021;8(2):2029-2036. http://doi.org/10.1109/TTE.2021.3115578.

10. Lucca G., Moro M., Florio R., Lidonnici G. Measurements and calculations of 50Hz magnetic field produced by Italian high speed railway system. In: International Symposium on Electromagnetic Compatibility - EMC EUROPE. 2012. http://doi.org/10.1109/EMCEurope.2012.6396900.

11. Oancea C.D., Calin F., Golea V. Analysis of the influences of the electromagnetic field produced by an electrified railway section. In: 7th International Conference on Energy Efficiency and Agricultural Engineering. 2020. http://doi.org/10.1109/EEAE49144.2020.9279005.

12. Dan D., Chakrabarti S. Electromagnetic environment in modern railway system. In: 13th International Conference on Electromagnetic Interference and Compatibility. 2015;116-121. http://doi.org/10.1109/INCEMIC.2015.8055860.

13. Kuznetsov K., Zakirova A., Averyanov U. Specific energy of 50 Hz electromagnetic field. In: International Conference on Industrial Engineering, Applications and Manufacturing. 2017. http://doi.org/10.1109/ICIEAM.2017.8076222.

14. Kim Jae Hee, Yoon Hyuk-Jin, Kim Dae-Hyun, Cho Bong-Kwan. Effects of magnetic fields around contact lines on magnetometers. IEEE Access. 2020;8:132397-132403. http://doi.org/10.1109/ACCESS. 2020.3009948.

15. Serdiuk T., Ansari H.T., Rodica B. Electromagnetic Influence of AC traction network on the railway communication lines. In: IEEE International Symposium on Electromagnetic Compatibility & Signal/Power Integrity. 2022;326-329. http://doi.org/10.1109/EMCSI39492.2022.9889435.

16. Rachedi B.A., Babouri A., Berrouk F. A study of electromagnetic field generated by high voltage lines using COMSOL MULTIPHYSICS. In: International Conference on Electrical Sciences and Technologies in Maghreb. 2014. http://doi.org/10.1109/CISTEM.2014.7076989.

17. Zakaryukin V.P., Kryukov A.V. Multi-asymmetric modes of electric systems. Irkutsk: Irkutsk State Transport University; 2005, 273 р. (In Russ.). EDN: PTVITA.

18. Zakaryukin V.P., Kryukov A.V. Modeling of DC traction power supply systems based on phase coordinates. Moscow: Direct-Media; 2023, 156 р. (In Russ.). EDN: LIJPRI.

19. Kryukov A.V., Zakaryukin V.P., Cherepanov A.V., Kryukov A.E., Seredkin D.A., Fesak I.A. Modeling of three-phase traction power supply systems of AC railways. Ekaterinburg: Ural State Transport University; 2023, 172 р. (In Russ.). EDN: NHDULR.

20. Buyakova N.V., Zakaryukin V.P., Kryukov A.V., Seredkin D.A. А consideration of harmonic distortions in modeling the electromagnetic fields generated by power lines feeding railway traction substations. Elektrichestvo. 2022;5:28-38. (In Russ.). http://doi.org/10.24160/0013-5380-2022-5-28-38. EDN: RXGASM.

21. Kryukov A.V., Cherepanov A.V., Lyubchenko I.A. Integrated use of Smart Grid technologies in railway traction networks. Proceedings of Irkutsk State Technical University. 2020;24(5):1041-1052. (In Russ.). https://doi.org/10.21285/1814-3520-2020-5-1041-1052. EDN: RNYCDC.