PECULIAR FEATURES OF MATHEMATICAL MODELING OF ELEMENTS OF THE BRUSH-COMMUTATOR UNIT OF THE ELECTRIC TRACTION MOTOR TAKING INTO ACCOUNT POSSIBILITIES OF THE CONTACT FAILURE

Receipt date: 
18.11.2017
Section: 
Year: 
2017
Journal number: 
УДК: 
629.4; 621.534; 62.752
DOI: 

10.26731/1813-9108.2017.4(56).167-175

Article File: 
Pages: 
167
175
Abstract: 

The purpose of the proposed study is to develop a theory of the dynamics of the brush-commutator unit at the intensive dynamics loading of a traction motor of an electric locomotive. The mathematical model of the surface of the commutator and brushes is subjected to “not-holding” ties. An analytical approach is developed on the basis of the mathematical apparatus of the theory of oscillations of mechanical systems. Elements of the systems are involved in complex motions with possible contact failures and collisions. The conditions of the brush detachment from the commutator are formulated. The characteristics of the modes of the brush motion with the detachment from the commutator are defined. Dependencies of the modes of the contact failure on the dynamic parameters of motion of the collector surface are determined. An approach to the assessment of contact interaction is developed. The approach is accounting for not-holding ties through the introduction of a generalized gap function. The use of the gap allows us to characterize the dynamics of the elements of the brush-commutator unit with advanced ideas about external influences. Analytical expressions of the contact are provided, and the results of computational experiments are presented in the article. The scientific concept of dynamic interaction between the elements of the brush-commutator unit is constructed using mathematical models. The determination of regularities of motion of the contact surface is assumed to be possible. The laws of motion are approximated using harmonic functions. The possibility of including additional external loads on the engine is the main feature of the approach.

List of references: 

1. Shantarenko S.G. et al. Povyshenie kachestva tokos"ema v kontakte «shchetka-kollektor» tyagovogo elektrodvigatelya elektrovoza 2ES6 [Improving the quality of the current collector in the contact "brush-commutator" of the traction electric motor of the electric locomotive 2ES6]. Omsk. nauch. vestn [Omsk scientific bulletin], 2016, No. 5 (149), pp. 77–80.

2. Avilov V. D. Optimizatsiya kommutatsionnogo protsessa v kollektornykh elektricheskikh mashinakh postoyannogo toka [Optimization of the switching process in DC commutator electric machines]. Omsk, 2013, 356 p.

3. Kharlamov V.V. Metody i sredstva diagnostirovaniya tekhnicheskogo sostoyaniya kollektorno-shchetochnogo uzla tyagovykh elektro-dvigatelei i drugikh kollektornykh mashin postoyannogo toka [Methods and means of diagnosing the technical state of the commutator-brush assembly of traction electro-motors and other DC-type commutator machines]. Omsk: ISTU Publ., 2002, pp. 196–198.

4. Orlenko A.I., Petrov M.N., Teregulov O.A. Kompleksnaya diagnostika tyagovogo elektrodvigatelya elektrovoza [Complex diagnostics of electric locomotive traction motor]. Krasnoyarsk, 2016, 218 p.

5. Orlenko A.I., Petrov M.N., Teregulov O.A. Issledovanie povrezhdenii podvizhnogo sostava zheleznoi dorogi Sibirskogo regiona [Investigating damage of rolling stock in the railway of the Siberian region]. Krasnoyarsk, 2016, 198 p.

6. De Silva, C. W. Vibration. Fundamentals and Practice. Boca Raton, London, New York, Washington, D.C. : CRC Press, 2000, 957 p.

7. Karnovsky I.A., Lebed  E. Theory of Vibration Protection, Springer International Publishing, Switzerland, 2016, 708 p.

8. Harris S.M., Srede C.E. Shock and Vibration Handbook. New York: McGraw-Hill Book So, 2002, 1457 p.

9. Rocard Y. General Dynamics of Vibrations. Paris: Masson, 1949, 458 p.

10. Avilov V.D. et al. Vliyanie dinamicheskogo vzaimodeistviya zheleznodorozhnogo puti i lokomotiva na kachestvo funktsionirovaniya tyagovogo elektrodvigatelya [The influence of the dynamic interaction of the railway track and the locomotive on the quality of the traction motor functioning]. Resursosberegayushchie tekhnologii na zheleznodorozhnom transporte : materialy Vseros. nauch.-tekhn. konf. s mezhdunar. uchast [Resource-saving technologies in railway transport: materials of All-Russian scientific techn. conf. with intern. participants]. Moscow: Educational methodological center for education at rail transport, 2005, pp. 433–438.

11. Avilov V.D. et al. Perspektiva povysheniya kachestva raboty kollektorno-shchetochnogo uzla mashin postoyannogo toka [Prospect of improving the quality of the commutator-brush unit of DC machines]. Issledovanie protsessov vzaimodeistviya ob"ektov zheleznodorozhnogo transporta s okruzhayushchei sredoi [Investigation of the processes of interaction between railway transport facilities and the environment]. Omsk, 1997, pp. 55–61.

12. Kharlamov V.V., Bezborodov Yu.Ya., Kozlov V.N. Diagnostika sostoyaniya kollektorno-shchetochnogo uzla mashin postoyannogo toka. Kommutatsiya v tyagovykh elektrodvigatelyakh [Diagnostics of the state of the commutator-brush unit of DC machines. Switching in traction motors]. Kommutatsiya v tyagovykh elektrodvigatelyakh i drugikh kollektornykh mashinakh : mezhvuz. temat. sb. nauch. tr. [Switching in traction motors and other collector machines: interuniversity themat. collect. of sci. papers]. Omsk, 1985, pp. 44–47.

13. Blekhman I.I. Teoriya vibratsionnykh protsessov i ustroistv. Vibratsionnaya mekhanika i vibratsionnaya tekhnika [Theory of vibration processes and devices. Vibration mechanics and vibration technology]. St. Petersburg: ID “Ruda i Metally” Publ., 2013, 640 p.

14. Panovko G.Ya. Dinamika vibratsionnykh tekhnologicheskikh protsessov [Dynamics of vibrational technological processes]. Moscow-Izhevsk: SRC "Regular and chaotic dynamics", Institute of Computer Technologies Publ., 2006, 176 p.

15. Eliseev A.V., Sel'vinskii V.V., Eliseev S.V. Dinamika vibratsionnykh vzaimodeistvii elementov tekhnologicheskikh sistem s uchetom neuderzhivayushchikh svyazei [Dynamics of vibrational interactions of elements of technological systems taking into consideration unilateral constraints]. Novosibirsk: Nauka Publ., 2015, 332 p.

16. Eliseev S.V., Lotkin O.I. Usloviya sushchestvovaniya i narusheniya kontakta dlya sistem s neuderzhivayushchimi svyazyami [Conditions of existence and violation of contact for systems with unilateral constraints]. Trudy OMIITa [Works of Omsk Institute of Railway Transport Engineers], 1966, Issue 69, pp. 93–99.

17. Karasev M.F. et al. Optimal'naya kommutatsiya mashin peremennogo toka [Optimal commutation of alternating current machines]. Irkutsk: ISTU Publ., 1967, 180 p.

18. Eliseev S.V., Markov K.K. Nekotorye voprosy dinamiki kolebatel'nogo protsessa pri neuderzhivayushchikh svyazyakh [Some questions of the dynamics of the oscillatory process with unilateral constraints]. Mekhanika i protsessy upravleniya [Mechanics and Control processes], Irkutsk: IPI Publ., 1971, pp. 71–83.