Dynamic sufficiency of the magnetically suspended train

Authors

  • V. A. Polyakov Institute of Transport Systems and Technologies NAS of Ukraine, Pisarzhevskiy St., 5, Dnipropetrovsk, Ukraine, 49005, tel. + 38 (0562) 32 30 55, e-mail p_v_a_725@mail.ru, Ukraine
  • N. M. Khachapuridze Institute of Transport Systems and Technologies NAS of Ukraine, Pisarzhevskiy St., 5, Dnipropetrovsk, Ukraine, 49005, tel. + 38 (0562) 32 30 55, e-mail p_v_a_725@mail.ru, Ukraine

DOI:

https://doi.org/10.15802/stp2013/19760

Keywords:

magnetically suspended train, dynamic sufficiency, situations of motion, situation parameters, parameters of decision

Abstract

Purpose. The basic criterion of the magnetically suspended train's consumer estimation is a quality of its mechanical motion. This motion is realized in unpredictable conditions and, for purposefulness preservation, should adapt to them. Such adaptation is possible only within the limits of system’s dynamic sufficiency. Sufficiency is understood as presence at system of resources, which allow one to realize its demanded motions without violating actual restrictions. Therefore presence of such resources is a necessary condition of preservation of required purposefulness of train's dynamics, and verification of the mentioned sufficiency is the major component of this dynamic research. Methodology. Methods of the set theory are used in work. Desirable and actual approachability spaces of the train are found. The train is considered dynamically sufficient in zones of the specified spaces overlapping. Findings. Within the limits of the accepted treatment of train's dynamic sufficiency, verification of its presence, as well as a stock (or deficiency) of preservations can be executed by the search and the subsequent estimation of such overlapping zones. Operatively (directly during motion) it can be realized on the train's ODC with use, for example, of computer mathematics system Mathematica. It possesses extensive opportunities of highly efficient and, at the same time, demanding an expense concerning small resources information manipulation. The efficiency of using of created technique is illustrated on an example of vehicle's acceleration research. Calculation is executed with use of the constructed computer model of interaction of an independent traction electromagnetic subsystem of an artifact with its mechanical subsystem. Originality. The technique of verification of the high-speed magnetically suspended train's dynamic sufficiency is developed. The technique is highly efficient, it provides sufficient presentation and demands an expense of the moderate resources at use (especially in cases of not too high dimensions of spaces of conditions and decision-making of system). Practical value. The technique can be used with success during dynamic research, including the magnetically suspended trains.

Author Biographies

V. A. Polyakov, Institute of Transport Systems and Technologies NAS of Ukraine, Pisarzhevskiy St., 5, Dnipropetrovsk, Ukraine, 49005, tel. + 38 (0562) 32 30 55, e-mail p_v_a_725@mail.ru

В. А. Поляков

N. M. Khachapuridze, Institute of Transport Systems and Technologies NAS of Ukraine, Pisarzhevskiy St., 5, Dnipropetrovsk, Ukraine, 49005, tel. + 38 (0562) 32 30 55, e-mail p_v_a_725@mail.ru

Н. М. Хачапуридзе

References

Bellman R., Gliksberg I, Gross O. Nekotoryye voprosy matematicheskoy teorii protsessov upravleniya [Some issues of the mathematic theory of the control process]. Moscow, IL Publ., 1962. 336 p.

Dzenzerskiy V.A., Omelyanenko V.I., Vasilyev S.V., Matin V.I., Sergeyev S.A. Vysokoskorostnoy magnitnyy transport s elektrodinamicheskoy levitatsiyey [High-speed magnetic transport with electrodynamic levitation]. Kyiv, Naukova Dumka Publ., 2001. 479 p.

Korenev G.V. mekhaniki tselenapravlennogo dvizheniya [Digest on the mechanics of purposeful movement]. Moscow, Nauka Publ., 1980. 192 p.

Krasovskiy N.N. Upravleniye dinamicheskoy sistemoy. Zadacha o minimume garantirovannogo rezultata [Dynamic system control. Task of the minimum guaranteed result]. Moscow, Nauka Publ., 1985. 520 p.

Polyakov V.A., Khachapuridze N.M. Analiz i sintez dinamiki elektrodinamicheskogo poyezda s lineynym dvi-gatelem [Analysis and synthesis of the dynamics electrodynamic train linear motor]. Visnyk Dnipropet-rovskoho natsionalnoho universytetu zaliznychnoho transportu imeni akademika V. Lazariana [Bulletin of Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan], 2007, issue 15, pp. 159-166.

Polyakov V.A., Khachapuridze N.M. Postroyeniye dvizheniya magnitolevitiruyushchego poyezda v nepredskazuyemoy obstanovke [Motion synthesis of the maglev train in the unpredictable environment]. Visnyk Dnipropetrovskoho natsionalnoho universytetu zaliznychnoho transportu imeni akademika V. Lazariana [Bulletin of Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan], 2009, issue 30, pp. 192-195.

Polyakov V.A. Osobennosti postroyeniya dvizheniya magnitolevitiruyushchego poyezda [Features of construc-tion traffic magnitolevitiruyuschego train].Visnyk Dnipropetrovskoho natsionalnoho universytetu zaliznychnoho transportu imeni akademika V. Lazariana [Bulletin of Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan], 2011, issue 38, pp. 24-29.

Polyakov V.A., Khachapuridze N.M. Terminalnoye upravleniye dvizheniyem magnitolevitiruyushchego poyezda s ispolzovaniyem lineynogo sinkhronnogo dvigatelya [Terminal motion control of the maglev train using the linear synchronous engine]. Visnyk Dnipropetrovskoho natsionalnoho universytetu zaliznychnoho transportu imeni akademika V. Lazariana [Bulletin of Dnipropetrovsk National University of Railway Trans-port named after Academician V. Lazaryan], 2006, issue 12, pp. 138-145.

Krasovskiy A.A. Spravochnik po teorii avtomaticheskogo upravleniya [Guide of the automatic control theory]. Moscow, Nauka Publ., 1987. 712 p.

Chernousko F.L. Otsenivaniye fazovogo sostoyaniya dinamicheskikh sistem. Metod ellipsoidov [Evaluation of the phase state of dynamical systems. The method of ellipsoids]. Moscow, Nauka Publ., 1988. 320 p.

Wolfram St. Mathematica book. Champaign, Wolfram press Publ., 2003. 1301 p.

Belomo N. Continuum mechanics using Mathematica. New York, Springer Publ., 2006. 388 p.

Wellin P., Kamin S., Gaylord R. An introduction to programming with Mathematica. 3 edition. Cambridge, CUP Publ., 2005. 570 p.

Wolfram Mathematica. Available at: http://www.wolfram.com/ mathematica/ (Accessed 22 November, 2013).

Published

2013-12-25

How to Cite

Polyakov, V. A., & Khachapuridze, N. M. (2013). Dynamic sufficiency of the magnetically suspended train. Science and Transport Progress, (6(48), 132–139. https://doi.org/10.15802/stp2013/19760

Issue

Section

ROLLING STOCK AND TRAIN TRACTION