Science China Technological Sciences

, Volume 61, Issue 2, pp 257–272 | Cite as

Simulation investigation of tractive energy conservation for a cornering rear-wheel-independent-drive electric vehicle through torque vectoring

  • Wen Sun
  • JunNian Wang
  • QingNian Wang
  • Francis Assadian
  • Bo Fu


Although electric vehicle fully exhibits its comparative merits of energy conservation and environmental friendliness, further improvement of its traction energy efficiency lacks comprehensive investigations in the past. In this paper, the effect of the torque vectoring on traction energy conservation during cornering for a rear-wheel-independent-drive electric vehicle is investigated. Firstly, turning resistance coefficient and energy conservation mechanism of torque vectoring are derived from the single track dynamic model. Next, an optimal torque vectoring control strategy based on genetic algorithm is proposed, with the consideration of the influence of the operation-point change of the in-wheel motors, to find out the best torque vectoring ratio offline. Finally, various simulation tests are conducted to validate the energy conservation effect after Simulink modelling. The results verify that though the optimization of the operating region of the motors is the main part for tractive energy conservation, the contribution of torque vectoring itself can reach up to 1.7% in some typical cases.


electric vehicle (EV) independent drive cornering resistance torque vectoring energy saving optimization 


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  1. 1.
    Lu D, Ouyang M, Gu J, et al. Torque distribution algorithm for a permanent brushless DC hub motor for four-wheel drive electric vehicles (in Chinese). J Tsinghua Univ (Sci Technol), 2012, 52: 452–456Google Scholar
  2. 2.
    Liebemann E K, Meder K, Schuh J, et al. Safety and performance enhancement: The Bosch electronic stability control (ESP). SAE Technical Paper, 2004Google Scholar
  3. 3.
    Leffler H. Consideration of lateral and longitudinal vehicle stability by function enhanced brake and stability control system. SAE Technical Paper, 1994Google Scholar
  4. 4.
    Ohba T, Takema I, Minami Y, et al. Application of HIL simulations for the development of vehicle stability assist system. SAE Technical Paper, 2002Google Scholar
  5. 5.
    Kim D H, Kim J M, Hwang S H, et al. Optimal brake torque distribution for a four-wheeldrive hybrid electric vehicle stability enhancement. Proc Instit Mech Eng Part D-J Automob Eng, 2007, 221: 1357–1366CrossRefGoogle Scholar
  6. 6.
    Kunii R, Iwazaki A, Atsumi Y, et al. Development of SH-AWD (super handling-all wheel drive) system. Honda R&D Technical Review, 2004. 9–16Google Scholar
  7. 7.
    Ushiroda Y, Sawase K, Miura T, et al. Integrated vehicle dynamics control for high performance all wheel drive vehicle. In: International Symposium on Advanced Vehicle Control. Kobe, 2008. 863–868Google Scholar
  8. 8.
    Schwarz R, Dick W, Meissner T, et al. Dynamic steering and Quattro with sport differential-two perfect partners for highest agility and active safety. In: Proceeding of the 2008 FISITA Word Automotive Congress. Munich, 2008Google Scholar
  9. 9.
    Deur J, Ivanović V, Hancock M, et al. Modeling and analysis of active differential dynamics. J Dyn Sys Meas Control, 2010, 132: 061501CrossRefGoogle Scholar
  10. 10.
    Tremlett A, Assadian F, Purdy D, et al. The control authority of passive and active torque vectoring differentials for motorsport applications. In: Proceeding of the FISITA 2012 World Automotive Congress. Beijing, 2012. 335–347Google Scholar
  11. 11.
    Ivanovic V, Deur J, Herold Z, et al. Experimental characterization of a wet clutch friction behaviors including thermal dynamics. SAE Int J Engines, 2009, 2: 1211–1220CrossRefGoogle Scholar
  12. 12.
    Ivanovic V, Deur J, Herold Z, et al. Modelling of electromechanically actuated active differential wet-clutch dynamics. Proc Instit Mech Eng Part D-J Automob Eng, 2012, 226: 433–456CrossRefGoogle Scholar
  13. 13.
    Kunii R, Iwazaki A, Sekiya S, et al. Development of direct electromagnetic clutch system. SAE Technical Paper, 2005Google Scholar
  14. 14.
    Yamakawa J, Kojima A, Watanabe K. A method of torque control for independent wheel drive vehicles on rough terrain. J Terramech, 2007, 44: 371–381CrossRefGoogle Scholar
  15. 15.
    Sugano T, Fukuba H, Suetomi T. A study of dynamics performance improvement by rear right and left independent drive system. Vehicle Syst Dyn, 2010, 48: 1285–1303CrossRefGoogle Scholar
  16. 16.
    Sabbioni E, Cheli F, Vignati M, et al. Comparison of torque vectoring control strategies for a IWM vehicle. SAE Int J Passeng Cars-Electron Electr Syst, 2014, 7: 565–572CrossRefGoogle Scholar
  17. 17.
    Jalali K, Uchida T, Lambert S, et al. Development of an advanced torque deviation control system for an electric vehicle with in-wheel motors using soft computing techniques. SAE Technical Paper, 2013Google Scholar
  18. 18.
    Siampis E, Massaro M, Velenis E. Electric rear axle torque vectoring for combined yaw stability and velocity control near the limit of handling. In: IEEE 52nd Conference on Decision and Control. Firenze, 2013. 1552–1557CrossRefGoogle Scholar
  19. 19.
    Rojas A E R, Niederkofler H, Hirschberg W. Mechanical design of in-wheel motor driven vehicles with torque-vectoring. SAE Technical Paper, 2011Google Scholar
  20. 20.
    Goggia T, Sorniotti A, De Novellis L, et al. Integral sliding mode for the torque-vectoring control of fully electric vehicles: Theoretical design and experimental assessment. IEEE Trans Veh Technol, 2015, 64: 1701–1715CrossRefGoogle Scholar
  21. 21.
    Jager B, Neugebauer P, Kriesten R, et al. Torque-vectoring stability control of a four-wheel drive electric vehicle. In: IEEE Intelligent Vehicle Symposium (IV’15). Seoul: IEEE, 2015. 1018–1023Google Scholar
  22. 22.
    Alipour H, Sabahi M, Bannae Sharifian M B. Lateral stabilization of a four wheel independent drive electric vehicle on slippery roads. Mechatronics, 2015, 30: 275–285CrossRefGoogle Scholar
  23. 23.
    Athari A, Fallah M S, Li B, et al. Optimal torque control for an electric-drive vehicle with in-wheel motor: Implementation and experiments. SAE Technical Paper, 2013Google Scholar
  24. 24.
    Kang J, Yoo J, Yi K. Driving control algorithm for maneuverability, lateral stability, and rollover prevention of 4WD electric vehicles with independently driven front and rear wheels. IEEE Trans Veh Technol, 2011, 60: 2987–3001CrossRefGoogle Scholar
  25. 25.
    Kang J, Kyongsu Y, Heo H. Control allocation based optimal torque vectoring for 4WD electric vehicle. SAE Technical Paper, 2012Google Scholar
  26. 26.
    De Novellis L, Sorniotti A, Gruber P, et al. Comparison of feedback control techniques for torque-vectoring control of fully electric vehicles. IEEE Trans Veh Technol, 2014, 63: 3612–3623CrossRefGoogle Scholar
  27. 27.
    Wang R, Zhang H, Wang J. Linear parameter-varying controller design for four wheel independently-actuated electric ground vehicles with active steering systems. IEEE Trans Control Syst Technol, 2014, 22: 1281–1296CrossRefGoogle Scholar
  28. 28.
    Wong A, Kasinathan D, Khajepour A, et al. Integrated torque vectoring and power management framework for electric vehicles. Cont Eng Pract, 2016, 48: 22–36CrossRefGoogle Scholar
  29. 29.
    Koehler S, Viehl A, Bringmann O, et al. Improved energy efficiency and vehicle dynamics for battery electric vehicles through torque vectoring control. In: IEEE Intelligent Vehicle Symposium (IV’15). Seoul: IEEE, 2015. 749–754Google Scholar
  30. 30.
    Cheng G, Hao L, Xiaobo C. Torque distribution based on efficiency optimization of four-wheel independent drive electric vehicle (in Chinese). J Tongji Univ (Nat Sci), 2015, 43: 1550–1556Google Scholar
  31. 31.
    Wang J, Wang Q, Jin L, et al. Independent wheel torque control of 4WD electric vehicle for differential drive assisted steering. Mechatronics, 2011, 21: 63–76CrossRefGoogle Scholar
  32. 32.
    Dizqah A M, Lenzo B, Sorniotti A, et al. A fast and parametric torque distribution strategy for four-wheel-drive energy-efficient electric vehicles. IEEE Trans Ind Electron, 2016, 63: 4367–4376CrossRefGoogle Scholar
  33. 33.
    Wang R, Chen Y, Feng D, et al. Development and performance characterization of an electric ground vehicle with independently actuated in-wheel motors. J Power Sources, 2011, 196: 3962–3971CrossRefGoogle Scholar
  34. 34.
    Kobayashi T, Katsuyama E, Sugiura H, et al. Efficient direct yaw moment control during acceleration and deceleration while turning (first report). SAE Technical Paper, 2016Google Scholar
  35. 35.
    Himeno H, Katsuyama E, Kobayashi T. Efficient direct yaw moment control during acceleration and deceleration while turning (second report). SAE Technical Paper, 2016Google Scholar
  36. 36.
    Kobayashi T, Katsuyama E, Sugiura H, et al. Direct yaw moment control and power consumption of in-wheel motor vehicle in steadystate turning. Vehicle Syst Dyn, 2017, 55: 104–120CrossRefGoogle Scholar
  37. 37.
    Mitschke M, Wallentowitz H. Dynamik der Kraftfahrzeuge. 4th Ed. Berlin Heidelberg: Springer, 2004. 473CrossRefGoogle Scholar
  38. 38.
    Ando K. Analysis of tight corner braking phenomenon in full-time 4WD vehicles. JSAE Rev, 2002, 23: 83–87CrossRefGoogle Scholar
  39. 39.
    Wang J, Wang Q, Jin L. Modeling and simulation studies on differential drive assisted steering for EV with four-wheel-independent-drive. In: IEEE Vehicle Power and Propulsion Conference (VPPC). Harbin: IEEE, 2008Google Scholar
  40. 40.
    Jin L Q, Liu Y. Study on adaptive slid mode controller for improving handling stability of motorized electric vehicles. Math Problems Eng, 2014, 2014: 1–10MathSciNetGoogle Scholar
  41. 41.
    Shibahata Y, Shimada K, Tomari T. Improvement of vehicle maneuverability by direct yaw moment control. Vehicle Syst Dyn, 1993, 22: 465–481CrossRefGoogle Scholar

Copyright information

© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  • Wen Sun
    • 1
  • JunNian Wang
    • 1
    • 2
  • QingNian Wang
    • 1
  • Francis Assadian
    • 2
  • Bo Fu
    • 2
  1. 1.State Key Laboratory of Automotive Simulation and ControlJilin UniversityChangchunChina
  2. 2.Department of Mechanical and Aerospace EngineeringUniversity of CaliforniaDavisUSA

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