Development of an approach to ensure stability of the traction direct current system
DOI:
https://doi.org/10.15587/1729-4061.2018.142936Keywords:
traction power system, voltage regulator, stability region, nonlinear recurrent analysisAbstract
The result of applying the quantitative approach to the calculation of static stability of the traction power system helped us establish that when a train runs along an actual section there emerge zones with lack of stability in terms of voltage. Exact solution to the task of evaluating the stability is extremely difficult because of the need to compute the nonlinear dependences determining the modes of operation of the traction power system and electric rolling stock.
In this work, we constructed a system of four autonomous nonlinear differential equations based on experimental data that simulate the behavior of current and voltage in the contact network. We also calculated stability regions for voltage regulators in the traction network, which stabilize voltage at pantographs of electric rolling stock.
The obtained stability regions of voltage regulators made it possible to estimate resource of stability and to find the most robust regulators out of those constructed. The study revealed that the non-linear regulator has better robust properties than the linear one. In this case, stability of the linear regulator is very narrow ‒ Δk=0.000004, which is an order of magnitude lower than for the non-linear regulator. When applying the non-linear regulator, voltage in the contact network stabilizes 3 times faster regardless of the place of its location.
Application of the devised approach would make it possible to calculate the stability regions for various schematics of the traction network in the implementation of high-speed motion and to narrow the range of voltage fluctuations. The developed dynamic model of power consumption processes, as well as the voltage regulator, could be used when constructing an intelligent, adaptive traction power system for high-speed motion.
References
- Sychenko, V. H., Rogosa, A. V., Pulin, M. M. (2018). Quantitative Assessment of the Durability of the Continuous Supply System. Visnyk Vinnytskoho politekhnichnoho instytutu, 3, 69–74.
- Sychenko, V., Bosiy, D., Kosarev, E. (2015). Improving the quality of voltage in the system of traction power supply of direct current. Archives of Transport, 35 (3), 63–70. doi: https://doi.org/10.5604/08669546.1185193
- Kirilenko, A. V. (Ed.) (2014). Intellektual'nye ehlektroehnergeticheskie sistemy: ehlementy i rezhimy. Kyiv: IEHD NAN Ukrainy, 408.
- Elsayed, A. T., Mohamed, A. A., Mohammed, O. A. (2015). DC microgrids and distribution systems: An overview. Electric Power Systems Research, 119, 407–417. doi: https://doi.org/10.1016/j.epsr.2014.10.017
- Webber, C. L., Marwan, N. (Eds.) (2015). Recurrence Quantification Analysis. Theory and Best Practices. Springer. doi: https://doi.org/10.1007/978-3-319-07155-8
- Liu, Z. (2010). Chaotic Time Series Analysis. Mathematical Problems in Engineering, 2010, 1–31. doi: https://doi.org/10.1155/2010/720190
- Kantz, H., Schreiber, T. (2003). Nonlinear Time Series Analysis. Cambridge: Cambridge University Press, 388. doi: https://doi.org/10.1017/cbo9780511755798
- Georgiev, N. V., Gospodinov, P. N., Petrov, V. G. (2006). Multi-variant time series based reconstruction of dynamical Systems. Advanced Modeling and Optimization, 8 (1), 53–64.
- Petrov, V., Kurths, J., Georgiev, N. (2003). Reconstructing differential equation from a time series. International Journal of Bifurcation and Chaos, 13 (11), 3307–3323. doi: https://doi.org/10.1142/s0218127403008715
- Marwan, N., Carmenromano, M., Thiel, M., Kurths, J. (2007). Recurrence plots for the analysis of complex systems. Physics Reports, 438 (5-6), 237–329. doi: https://doi.org/10.1007/978-3-540-75632-3_5
- Khalil, H. K. (1996). Nonlinear systems. New-Jersey: Prentice Hall, 748.
- Modarresi, J., Gholipour, E., Khodabakhshian, A. (2016). A comprehensive review of the voltage stability indices. Renewable and Sustainable Energy Reviews, 63, 1–12. doi: https://doi.org/10.1016/j.rser.2016.05.010
- Ashraf, S. M., Gupta, A., Choudhary, D. K., Chakrabarti, S. (2017). Voltage stability monitoring of power systems using reduced network and artificial neural network. International Journal of Electrical Power & Energy Systems, 87, 43–51. doi: https://doi.org/10.1016/j.ijepes.2016.11.008
- Attar, M., Homaee, O., Falaghi, H., Siano, P. (2018). A novel strategy for optimal placement of locally controlled voltage regulators in traditional distribution systems. International Journal of Electrical Power & Energy Systems, 96, 11–22. doi: https://doi.org/10.1016/j.ijepes.2017.09.028
- Li, Q. (2015). New generation traction power supply system and its key technologies for electrified railways. Journal of Modern Transportation, 23 (1), 1–11. doi: https://doi.org/10.1007/s40534-015-0067-1
- Technical specifications for interoperability relating to the energy subsystem of the rail system in the Union. Commission regulation (EU) No 1301/2014 of 18 November 2014.
- Arzhannikov, B. A., Nabojchenko, I. O. (2015). Koncepciya usileniya sistemy tyagovogo ehlektrosnabzheniya postoyannogo toka 3,0 kV. Ekaterinburg: UrGUPS, 258.
- Szeląg, A. (2017). Electrical power infrastructure for modern rolling stock with regard to the railway in Poland. Archives of transport, 42 (2), 75–83.
- Gantmacher, F. R. (2000). The Theory of Matrices. Providence, Rhode Island: AMS Chelsea Publising, 550.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2018 Viktor Sychenko, Valeriy Kuznetsov, Yevhen Kosariev, Petro Hubskyi, Vasiliy Belozyorov, Vadym Zaytsev, Mykola Pulin
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.
