Algorithm performance study pulse suppression of auto-oscillation phenomena in the electromechanical system of the electric traction drive in braking mode electric traction drive system in braking mode by methods of simulation modeling

Research relevance. Modes accompanied by increased sliding of a wheel with negative viscous friction, characterized by reduction of friction force at growth of sliding speed, can arise at the movement of the vehicle. In these cases, a loss of stability may occur, resulting in the excitation of auto-oscillation phenomena in the electromechanical system (road-wheel-mechanical drive-electric motor). The emergence of this process sharply increases the dynamic load of the system, which can lead to its failure or breakdown. As a consequence, the development of suppression methods of auto-oscillation phenomena is considered to be an urgent task.

Purpose of the research. Verification of operability and efficiency of the suppression method of auto oscillations in the electromechanical system of wheel drive during braking of the vehicle.

Materials and Methods. With the help of Lyapunov’ function analysis for the electromechanical system of wheel drive the suppression method of auto oscillation phenomena is substantiated. The study of the algorithm performance has been carried out with the use of MATLAB Simulink program complex.

Research results. The operability and efficiency of the algorithm is proved by methods of simulation mathematical modeling, which allows its further use in the development of traffic control systems. In case of braking of the vehicle equipped with antilock braking system with the function of suppression of auto oscillations on a slippery support base the reduction of amplitudes oscillation of angular velocities of wheels by 80% and braking moments by 96% is observed. When this vehicle is braked on a high adhesion base, the amplitudes are reduced by 98% in angular velocities and 81% in torques. In simulation modeling of vehicle braking dynamics on a support base with low adhesion properties it has also been shown that in these cases the evasive maneuver can be performed, which indicates on the increase in controllability and active safety of the vehicle.

Conclusion. The practical value of the study lies in the possibility of using the developed algorithm for suppressing auto oscillations in practical application as part of vehicle control systems. The developed algorithm can be used on vehicles of different classes equipped with individual traction electric drive of driving wheels.

1. Vil’ke V.G., Shapovalov I.L. Self-oscillations during car braking. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2015; 4: 33–39. (in Russ.)

2. Kruchinin P.A., Magomedov M.Kh., Novozhilov I.V. Mathematical model of an automobile wheel for antilock modes of motion. Mechanics of Solids. 2001; 6: 63–69. (in Russ)

3. Awrejcewiez J., Dzyubak L., Grehori C. Estimation of chaotic and regular (stick-slip and shipslip) oscillations exhibited by coupled oscillations with dry friction. Nonlinear Dynamics. 2005; V. 42. no 2: 383–394.

4. Pascal M. Dynamics and stability of a two degrees of freedom oscillator with an elastic stop. Journal of Computational and Nonlinear Dynamics. 2006; V.1. no 1: 94–102.

5. Shin K., Brennan M.J., Oh J.-E., Harris C.J. Analysis of disk brake noise using a two-degrees-offreedom model. Journal of Sound and Vibration. 2002; V. 254. no 5: 837–848.

6. Kotiev G.O., Padalkin B.V., Kartashov A.B., Diakov A.S. Designs and development of Russian scientific schools in the field of cross-country ground vehicles building ARPN. Journal of Engineering and Applied Sciences. 2017; 12 (4): 1064–1071.

7. Ergin A.A., Kolomejtseva M.B., Kotiev G.O. Antiblocking control system of the brake drive of automobile wheel. Pribory i Sistemy Upravleniya. 2004; (9): 11–13.

8. Soliman A., Kaldas M. An investigation of anti-lock braking system for automobiles. SAE Tech. Paper. 2012; 2012-01-0209. DOI: https://doi.org/10.4271/2012-01-0209

9. Sun C., Pei X. Development of ABS ECU with hard ware-inthe-loop simulation based on labcar system. SAE Int. J. Passeng. Cars – Electron. Electr. Syst. 2015; vol. 8, no. 1: 14–21, DOI: https://doi.org/10.4271/2014-01-2524

10. Sabbioni E., Cheli F., d’Alessandro V. Analysis of ABS/ESP control logics using a HIL test bench. SAE Tech. Paper. 2011; 2011-01-0032, doi: https://doi.org/10.4271/2011-01-0032

11. Marshek K.M., Guderman J.F.II., Jonson M.J. Performance of anti-lock braking system equipped passenger vehicles part I: braking as a function of brake pedal application force. SAE Tech. Paper. 2002; 2002- 01-0304. DOI: https://doi.org/10.4271/2002-01-0304.

12. Zhileykin M.M. Research of Self-Oscillating Processes in the Zone of Interaction of an Elastic Tire with a Solid Support Base. BMSTU Journal of Mechanical Engineering. 2021; 10: 3–15, DOI: 10.18698/0536-1044-2021-10-3-15. (in Russ.)

13. Beloutov G.S., Klochkov E.S. Combined method for calculating transients in transmissions. Scientific and Technical Journal. Counter-terrorism technical devices.. Ser. 6. 1984; Issue 1 (113): 45–48. (in Russ.)

14. Algin V.B., Drobyshevskaya O.V., Sorochan V.M., Uspensky A.A. Schematization and dynamic analysis of mobile machine. variable-structure systems. Mechanics of mobile cars. Minsk, 2008: 16–24. (in Russ.)

15. Algin V.B. Dynamics of multibody systems of machines under changing states of frictional components and directions of power flows. Mechanics of machines, mechanisms and materials. 2014; 4 (29): 21–32. (in Russ.)

16. Myasishchev D.G., Vashutkin A.S., Lorenz A.S. Reduction of Relaxation Oscillation Resonance of Wheel Brake Devices of Lumber Trucks. Lesnoy zhurnal. 2016; 4(352): 112–120. (in Russ.) DOI 10.17238/issn0536-1036.2016.4.112. EDN WJXSHF.

17. Zhileykin M.M., Sirotin P.V., Nosikov S.S., Pulyaev N.N. Method for detecting the loss of stability of the movement of tractors when towing a trailer or a coupled unit. Tractors and agricultural machinery. 2023; Vol. 90, No. 1: 39–48. (in Russ) DOI 10.17816/0321-4443-321266. EDN ZCQJYM.

18. Grabar I.G., Opanasyuk E.G., Begersky D.B., Opanasyuk O.E. Features of kinematics and dynamics of the multiwheel mover with dry soil interaction. Visnik SevNTU. 2011; 121: 139–142. (in Russ.) EDN UMXAMR.

19. Ergin A.A., Kolomejtseva M.B., Kotiev G.O. Antiblocking control system of the brake drive of automobile wheel. Priboryi Sistemy Upravleniya. 2004; (9): 11–13.

20. Klimov A.V., Ospanbekov B.K., Kelle A.V., Shadrin S.S., Makarova D.A., Furletov Y.M. Research into the Particularities of the Individual Traction Drive Nonlinear System Oscillatory Processes. World Electr. Veh. J. 2023; 14: 316. https://doi.org/10.3390/wevj14110316

21. Klimov A.V. Oscillatory processes in a nonlinear system of an individual traction electric drive. Truck. 2023; 7: 19–24. DOI 10.36652/1684-1298-2023-7-19-24. EDN RXPWMI. (in Russ.)

22. Klimov A.V., Antonyan A.V. Research of features of oscillating process’ behavior in the nonlinear system of individual traction drive of an electrobus. Izvestiya MGTU «MAMI». 2023; 17(1): 87–96. DOI: https://doi.org/10.17816/2074-0530-115233 (in Russ.)

23. Klimov A.V. Traction control system with function of suppression of wheels self-oscillation in traction mode. Trudy NAMI. 2023; (3): 44–56. (In Russ.) https://doi.org/10.51187/0135-3152-2023-3-44-56

24. Klimov A.V. The observer of the slipping of the driving wheels with the function of suppressing self-oscillations in traction mode. Transport systems. 2023; 2(28): 17–29. (in Russ.) DOI 10.46960/2782- 5477_2023_2_17. EDN HRSZDR.

25. Klimov A.V. Suppression of self-osculations of the drive wheels in braking mode. Truck. 2023; 9: 6–14. DOI 10.36652/1684-1298-2023-9-6-14. EDN PUCDXP. (in Russ.)

26. Klepikov V.B. Dynamics of electromechanical systems with nonlinear friction: monograph. Publishing house: “The assistant of NTU “KHPI””, 2014; 408. (In Rus.)

27. Shamberov V.N. Friction self-oscillations in mechanical system. Journal of Instrument Engineering. 2010; issue 53, No. 2: 24–28. (in Russ.)

28. Zhileykin M.M., Zhurkin M.M. Algorithm of anti-lock braking system with anti-skid function for two-axle cars with one driving axle. “Izvestiya MGTU “MAMI. 2020; 1(43): 51–56. (in Russ.)