Defining the limits of application and the values of integration variables for the equations of train movement
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- Category: Contens №6 2019
- Last Updated on 01 January 2020
- Published on 23 December 2019
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Authors:
B.Bodnar, Dr. Sc. (Tech.), Prof., orcid.org/0000-0002-3591-4772, Dnipro National University of Railway Transport named after Academician V. Lazaryan, Dnipro, Ukraine, e‑mail: dmitriyThis email address is being protected from spambots. You need JavaScript enabled to view it.
M.Kapitsa, Dr. Sc. (Tech.), Prof., orcid.org/0000-0002-3800-2920, Dnipro National University of Railway Transport named after Academician V. Lazaryan, Dnipro, Ukraine, e‑mail: dmitriyThis email address is being protected from spambots. You need JavaScript enabled to view it.
D.Bobyr, Cand. Sc. (Tech.), Assoc. Prof., orcid.org/0000-0003-1441-3861, Dnipro National University of Railway Transport named after Academician V. Lazaryan, Dnipro, Ukraine, e‑mail: dmitriyThis email address is being protected from spambots. You need JavaScript enabled to view it.
D.Kyslyi, Cand. Sc. (Tech.), orcid.org/0000-0002-4427-894X, Dnipro National University of Railway Transport named after Academician V. Lazaryan, Dnipro, Ukraine, e‑mail: dmitriyThis email address is being protected from spambots. You need JavaScript enabled to view it.
Abstract:
Railway transportation is an integral part in the transport infrastructure of our country. They cover passenger and cargo transportations by Ukrzaliznytsia, industrial enterprises, including transportation of the mining sector, which is characterized by heavy loads on the traction rolling stock due to large gradients of the track profile. Railway transport management is always preceded by traction calculations, the center of which is to solve the equation of train movement.
Purpose. To determine the rational values of the variables in solving the equation of train movement, as well as relevant limits in their applicability.
Methodology. To achieve the purpose, methods of system analysis, nonlinear programming, numerical methods for solving differential equations, namely the classical, Runge-Kutta-Feelberg, and Rosenbrock methods, are used. Computational accuracy was verified using simulation methods and compared with experimental data.
Findings. The results of the research involve increasing the calculating speed when solving the equation of train movement without loss of accuracy, which allowed using the proposed method in on-board systems of locomotives.
Originality. During the research, new scientifically grounded results were obtained that solve the scientific task in improving the energy efficiency of train operation, and are of great importance for railway transport. The obtained results constitute the originality, which consists in determining the rational limits of applicability and the value in a step of integration variables for the equations of the train movement.
Practical value. The research results allow reducing the cost of energy consumed by hauling operations due to the promt recalculation of rational control modes when changing the train situation.
References.
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2. Kaptsov, O. V. (2015). Local algebraic analysis of differential systems. Theoretical and Mathematical Physics, (183), 740-755. https://doi.org/10.1007/s11232-015-0293-z.
3. Bodnar, B. E., Ochkasov, O. B., Hryshechkina, T. S., & Bodnar, Ye. B. (2018). Choosing the System of Locomotive Maintenance in View of the Effect of Dependent Failures. Nauka ta progres transportu, (78), 47-58. https://doi.org/10.15802/stp2018/154823.
4. Dylevskii, A. V., Vlasova, O. O., & Rakitin, D. A. (2016). Transient design in the systems with distributed parameters. Proceedings of Voronezh State University. Series: Systems analysis and information technologies, (3), 85-89.
5. Balanov, V. O. (2015). Analysis of the factors influencing scheduled cargo traffic management. Transportnі systemi ta tekhnolohii perevezen: zb. nauk. pr. Dnіpropetrovskoho natsіonalnoho unіversytetu zalіznychnoho transportu іmenі akademіka V. Lazaryana, (10), 5-9. https://doi.org/10.15802/tstt2015/57057.
6. Kozachenko, D. N., Berezovyi, N. I., & Balanov, V. O. (2015). Time reserves when managing scheduled cargo traffic. Nauka ta progres transportu: vіsnyk Dnіpropetrovskoho natsіonalnoho unіversytetu zalіznychnoho transportu іmenіakademіka V. Lazaryana, (56), 105-115.
7. Papakhov, O. Yu., & Logvіnova, N. O. (2014). Substantiation of directed scheduled traffic movement. Elektryfіkatsiia transportu: naukovyi zhurnal Dnіpropetrovskoho natsіonalnoho unіversytetu zalіznychnoho transportu іmenі akademіka V. Lazaryana, (8), 110-117.
8. Dmitrieva, O. A. (2015). Parallel control of numerical integration accuracy based on block dimension variation. Radioelectronic and computer systems, (1), 47-53.
9. Bodnar, B. Ye., Kapіtsa, M. І., Afanasov, A. M., & Kyslyi, D. M. (2015). Defining energy efficient modes of train speeding up. Nauka ta progres transportu: vіsnyk Dnіpropetrovskoho natsіonalnoho unіversytetu zalіznychnoho transportu іmenі akademіka V. Lazaryana, (5), 40-52.
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