Procedure for modeling dynamic processes of the electromechanical shock absorber in a subway car

Authors

DOI:

https://doi.org/10.15587/1729-4061.2019.181117

Keywords:

electromechanical shock absorber, subway car, Chebyshev polynomials, finite-element method, Lagrange equation

Abstract

A procedure has been devised for modeling the dynamic processes in the proposed structure of an electromechanical shock absorber. Such shock absorbers can recuperate a part of the energy of oscillations into electrical energy allowing the subsequent possibility to use it by rolling stock. The procedure is based on solving the Lagrange equation for the electromechanical system. The model's features are as follows. The model takes the form of a Cauchy problem, thereby making it possible to use it when simulating the processes of shock absorber operation. Two generalized coordinates have been selected (the charge and displacement of the armature). The components of the Lagrange equation have been identified. Based on the results from magnetic field calculation and subsequent regression analysis, we have derived polynomial dependences of flux linkage derivatives for the current and linear displacement of an armature, which make it possible to identify a generalized mathematical model of the electromechanical shock absorber. The magnetic field calculations, performed by using a finite-element method, have allowed us to derive a digital model of the magnetic field of an electromechanical shock absorber. To obtain its continuous model, a regression analysis of discrete field models has been conducted. When choosing a structure for the approximating model, a possibility to analytically differentiate partial derivatives for all coordinates has been retained. Based on the results from modeling free oscillations, it was established that the maximum module value of current is 0.234 A, voltage – 52.9 V. The process of full damping of oscillations takes about 3 seconds over 4 cycles. Compared to the basic design, the amplitude of armature oscillations and its velocity dropped from 13 to 85 % over the first three cycles, indicating a greater efficiency of electromechanical shock absorber operation in comparison with a hydraulic one. The recuperated energy amounted to 3.3 J, and the scattered energy – 11.5 J.

Author Biographies

Borys Liubarskyi, National Technical University «Kharkiv Polytechnic Institute» Kyrpychova str., 2, Kharkiv, Ukraine, 61002

Doctor of Technical Sciences, Professor

Department of Electrical Transport and Construction of Diesel Locomotives

Natalia Lukashova, O. M. Beketov National University of Urban Economy in Kharkiv Marshala Bazhanova str., 17, Kharkiv, Ukraine, 61002

Аssistant

Department of Electrical Transport

Oleksandr Petrenko, O. M. Beketov National University of Urban Economy in Kharkiv Marshala Bazhanova str., 17, Kharkiv, Ukraine, 61002

Doctor of Technical Sciences, Associate Professor

Department of Electrical Transport

Bagish Yeritsyan, National Technical University «Kharkiv Polytechnic Institute» Kyrpychova str., 2, Kharkiv, Ukraine, 61002

PhD

Department of Electrical Transport and Construction of Diesel Locomotives

Yuliia Kovalchuk, Higher State Educational Institution “Banking University” Peremohy ave., 55, Kharkiv, Ukraine, 61174

Postgraduate Student

Department of Finance and the Financial and Economic Security

Liliia Overianova, National Technical University «Kharkiv Polytechnic Institute» Kyrpychova str., 2, Kharkiv, Ukraine, 61002

PhD, Associate Professor

Department of Electrical Transport and Construction of Diesel Locomotives

References

  1. Serdobintsev, E. V., Ye Win Han (2013). Vertical Oscillations of the Metro Wagon with Pneumatic Suspension. Mir transporta, 2, 78–84.
  2. Liubarskyi, B., Lukashova, N., Petrenko, O., Pavlenko, T., Iakunin, D., Yatsko, S., Vashchenko, Y. (2019). Devising a procedure to choose optimal parameters for the electromechanical shock absorber for a subway car. Eastern-European Journal of Enterprise Technologies, 4 (5 (100)), 16–25. doi: https://doi.org/10.15587/1729-4061.2019.176304
  3. Serdobintsev, E., Zvantsev, P., Ye Win Han (2014). Choice of parameters for a metro coach with pneumatic springs. Mir transporta, 1, 34–41.
  4. Lukashova, N., Pavlenko, T., Liubarskyi, B., Petrenko, O. (2018). Analysis of constructions of resports lingings of rail city electric mobile composition. Systemy upravlinnia, navihatsiyi ta zviazku. Zbirnyk naukovykh prats, 5 (51), 65–68. doi: https://doi.org/10.26906/sunz.2018.5.065
  5. Passazhirskoe vagonostroenie. Katalog. Kryukovskiy vagonostroitel'niy zavod. Available at: http://www.kvsz.com/images/catalogs/tsn.pdf
  6. Kolpakhch’yan, P. G., Shcherbakov, V. G., Kochin, A. E., Shaikhiev, A. R. (2017). Sensorless control of a linear reciprocating switched-reluctance electric machine. Russian Electrical Engineering, 88 (6), 366–371. doi: https://doi.org/10.3103/s1068371217060086
  7. Forster, N., Gerlach, A., Leidhold, R., Buryakovskiy, S., Masliy, A., Lyubarskiy, B. G. (2018). Design of a Linear Actuator for Railway Turnouts. IECON 2018 - 44th Annual Conference of the IEEE Industrial Electronics Society. doi: https://doi.org/10.1109/iecon.2018.8591471
  8. Sergienko, A. N. (2013). Matematicheskaya model' kolebaniy v hodovoy sisteme avtomobilya s elektromagnitnym dempfirovaniem. Visnyk Natsionalnoho tekhnichnoho universytetu "KhPI". Ser.: Transportne mashynobuduvannia, 31, 86–93.
  9. Gysen, B. L. J., van der Sande, T. P. J., Paulides, J. J. H., Lomonova, E. A. (2011). Efficiency of a Regenerative Direct-Drive Electromagnetic Active Suspension. IEEE Transactions on Vehicular Technology, 60 (4), 1384–1393. doi: https://doi.org/10.1109/tvt.2011.2131160
  10. Sulym, A. O., Fomin, O. V., Khozia, P. O., Mastepan, A. G. (2018). Theoretical and practical determination of parameters of on-board capacitive energy storage of the rolling stock. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 5, 79–87. doi: https://doi.org/10.29202/nvngu/2018-5/8
  11. Kolpakhchyan, P. G., Shcherbakov, V. G., Kochin, A. E., Shaikhiev, A. R. (2017). Mathematical simulation and parameter determination of regulation of a linear electrical reciprocating machine. Russian Electrical Engineering, 88 (5), 259–264. doi: https://doi.org/10.3103/s1068371217050054
  12. 10.1007/978-3-319-51502-1_3Kolpakhchyan, P., Zarifian, A., Andruschenko, A. (2017). Systems Approach to the Analysis of Electromechanical Processes in the Asynchronous Traction Drive of an Electric Locomotive. Studies in Systems, Decision and Control, 67–134. doi: https://doi.org/10.1007/978-3-319-51502-1_3
  13. Rymsha, V. V., Radimov, I. N., Gulyy, M. V., Kravchenko, P. A. (2010). An advanced chain-field model of a switched reluctance motor. Elektrotekhnika i Elektromekhanika, 5, 24–26.
  14. Buriakovskyi, S., Liubarskyi, B., Maslii, A., Pomazan, D., Panchenko, V., Maslii, A. (2019). Mathematical Modelling of Prospective Transport Systems Electromechanical Energy Transducers on Basis of the Generalized Model. 2019 9th International Conference on Advanced Computer Information Technologies (ACIT). doi: https://doi.org/10.1109/acitt.2019.8779998
  15. Meeker, D. (2013). Finite Element Method Magnetics: Magnetics Tutorial. Available at: http://www.femm.info/wiki/MagneticsTutorial
  16. Kolpakhch’yan, P. G., Shcherbakov, V. G., Kochin, A. E., Shaikhiev, A. R. (2017). Sensorless control of a linear reciprocating switched-reluctance electric machine. Russian Electrical Engineering, 88 (6), 366–371. doi: https://doi.org/10.3103/s1068371217060086
  17. Riabov, I., Liubarskyi, B. (2018). Determination of Phase Flux-Linkage of Flux Switching Motor with Spatial Magnetic System. 2018 International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM). doi: https://doi.org/10.1109/icieam.2018.8728773

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Published

2019-10-18

How to Cite

Liubarskyi, B., Lukashova, N., Petrenko, O., Yeritsyan, B., Kovalchuk, Y., & Overianova, L. (2019). Procedure for modeling dynamic processes of the electromechanical shock absorber in a subway car. Eastern-European Journal of Enterprise Technologies, 5(5 (101), 44–52. https://doi.org/10.15587/1729-4061.2019.181117

Issue

Vol. 5 No. 5 (101) (2019): Applied physics

Section

Applied physics

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Copyright (c) 2019 Borys Liubarskyi, Natalia Lukashova, Oleksandr Petrenko, Bagish Yeritsyan, Yuliia Kovalchuk, Liliia Overianova

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