Optimization of multiple transmission layouts for minimal energy consumption of a battery electric vehicle

Document Type : Article


School of Mechanical Engineering, Sharif University of Technology, Tehran, P.O. Box 11155-9567, Iran


Battery electric vehicles (BEVs) are a promising solution for reducing the impacts of passenger vehicles on the environment. However, their driving range is restricted due to the limitations of battery technologies. This range can be extended by adoption of multiple-speed transmissions. Most of the comparisons in the related studies are based on non-optimal designs or limited to modal driving cycles. Furthermore, the impact of power-split continuously variable transmission (PS-CVT) layout with type III power flow on the power consumption of BEVs has never been examined. In this paper, single, two and three-speed transmissions along with PS-CVTs with type I and III power flows are optimized for a case study BEV. Furthermore, the effect of push belt and full-toroidal CVTs in construction of PS-CVT are compared. The results demonstrate that a PS-CVT with type I power flow equipped with the full-toroidal CVT has the best performance. However, it reduces the energy consumption by 0.36% compared to the optimal two-speed layout. In addition, its ratio range is more limited which can negatively impact the dynamic performance. Finally, simulation of the optimal designs along a different cycle proves that the obtained results are consistent, regardless of the driving cycle.


Main Subjects

1.Mojur, M., Rasul, M.G., Hyde, J., Azad, A.K., Mamat, R., and Bhuiya, M. M.K. Role of biofuel and their binary (diesel-biodiesel) and ternary (ethanolbiodiesel- diesel) blends on internal combustion engines emission reduction", Renew. Sustainable Energy Rev., 53, pp. 265-278 (2016).
2. Karvonen, M., Kapoor, R., Uusitalo, A., and Ojanen, V. Technology competition in the internal combustion engine waste heat recovery: a patent landscape analysis", J. Clean. Prod., 112(5), pp. 3735-3743 (2016).
3. Fotouhi, A., Auger, D.J., Propp, K., Longo, S., and Wild, M. A review on electric vehicle battery modelling: From lithium-ion toward lithium-sulphur", Renew. Sustainable Energy Rev., 56, pp. 1008-1021 (2016). 4. Ren, Q., Crolla, D.A., and Morris, A. E_ect of transmission design on electric vehicle (EV) performance", Vehicle Power and Propulsion Conference, VPPC'09. IEEE, pp. 1260-1265 (2009). 5. Di Nicola, F., Sorniotti, A., Holdstock, T., Viotto, F., and Bertolotto, S. Optimization of a multiple-speed transmission for downsizing the motor of a fully electric vehicle", SAE Int. J. Alt. Power., 1(1), pp. 134-143 (2012). 6. Walker, P., Rahman, S.A., Zhang, N., Zhan, W., Lin, Y., and Zhu, B. Modelling and simulation of a two speed electric vehicle", Sustainable Automotive Technologies, Springer Berlin Heidelberg, pp. 193-198 (2012). 7. Gao, B., Liang, Q., Xiang, Y., Guo, L., and Chen, H. Gear ratio optimization and shift control of 2-speed I-AMT in electric vehicle", Mech. Syst, Signal Pr., 50- 51, pp. 615-631 (2015). 8. Gao, B., Xiang, Y., Chen, H., Liang, Q., and Guo, L. Optimal trajectory planning of motor torque and clutch slip speed for gear shift of a two-speed electric vehicle", J. Dyn. Syst. Meas. Control, 137(6), pp. 061016-061016 (2015). 9. Zhang, Z., Zuo, C., Hao, W., Zuo, Y., Zhao, X.L., and Zhang, M. Three-speed transmission system for purely electric vehicles", Int. J. Auto. Tech., 14(5), pp. 773-778 (2013). 2392 T. Farjam et al./Scientia Iranica, Transactions B: Mechanical Engineering 26 (2019) 2382{2393 10. Srivastava, N. and Haque, I. A review on belt and chain continuously variable transmissions (CVT): Dynamics and control", Mech. Mach. Theory, 44(1), pp. 19-41 (2009). 11. Sorniotti, A., Subramanyan, S., Turner, A., Cavallino, C., Viotto, F., and Bertolotto, S. Selection of the optimal gearbox layout for an electric vehicle", SAE Int. J. Engines, 4(1), pp. 1267-1280 (2011). 12. Ruan, J., Zhang, N., and Walker, P. Comparing of single reduction and CVT based transmissions on battery electric vehicle", Proceedings of the 14th IFToMM World Congress, Taiwan, pp. 610-618 (2015). 13. Mantriota, G. Theoretical and experimental study of a power split continuously variable transmission system Part 1", P. I. Mech. Eng. D-J. Aut., 215(7), pp. 837-850 (2001). 14. Mangialardi, L. and Mantriota, G. Power ows and e_ciency in in_nitely variable transmissions", Mech. Mach. Theory, 34(7), pp. 973-994 (1999). 15. Bottiglione, F., De Pinto, S., Mantriota, G., and Sorniotti, A. Energy consumption of a battery electric vehicle with in_nitely variable transmission", Energies, 7(12), pp. 8317-8337 (2014). 16. Zhou, X., Walker, P., Zhang, N., Zhu, B., and Ding, F. The inuence of transmission ratios selection on electric vehicle motor performance", ASME Int. Mech. Eng. Congress Expo., Houston, Texas USA, pp. 289- 296 (2012). 17. Ruan, J., Zhang, N., andWalker, P. Comparing of the e_ects of CVT and DCT on the EVs including braking energy recovery", 8th Australasian Cong. on Applied Mech., Melbourne, Australia, p. 942 (2014). 18. Zhu, B., Zhang, N., Walker, P., Zhou, X., Zhan, W., Wei, Y., and Ke, N. Gear shift schedule design for multi-speed pure electric vehicles", P.I. Mech. Eng. DJ. Aut., 229(1), pp. 70-82 (2014). 19. Musio, C. and Damiano, A. Analysis of the e_ects of gear transmission structure on the electric vehicle performances", International Conference on Electrical Systems for Aircraft, Railway, Ship Propulsion and Road Vehicles (ESARS), Aachen, Germany, pp. 1-6 (2015). 20. Walker, P.D., Roser, H., Zhang, N., and Fang, Y., Comparison of Powertrain System Con_gurations for Electric Passenger Vehicles, SAE Technical Paper (2015). 21. Zhang, L., Li, L., Qi, B., and Song, J., Con_guration Analysis and Performance Comparison of Drive Systems for Pure Electric Vehicle, SAE Technical Papers (2015). https://www.sae.org/publications/technical-papers/ content/2015-01-1165/ 22. Ruan, J., Walker, P., and Zhang, N. A comparative study energy consumption and costs of battery electric vehicle transmissions", Appl. Energy, 165, pp. 119-134 (2016). 23. Delkhosh, M., Foumani, M.S., and Boroushaki, M. Geometrical optimization of parallel in_nitely variable transmission to decrease vehicle fuel consumption", Mech. Based Des. Struc., 42(4), pp. 483-501 (2014). 24. Mantriota, G. Performances of a parallel in_nitely variable transmissions with a type II power ow", Mech. Mach. Theory, 37(6), pp. 555-578 (2002). 25. Mantriota, G. Power split continuously variable transmission systems with high e_ciency", P.I. Mech. Eng. D-J. Aut., 215(3), pp. 357-358 (2001). 26. A_tTaleb, A., Cha^aba, A., and Sallaou, M. E_ciency evaluation of continuously variable transmissions including a planetary gear train", Energy and Power Engineering, 5(2), p. 153 (2013). 27. Bottiglione, F. and Mantriota, G. E_ect of the ratio spread of CVU in automotive kinetic energy recovery systems", J. Mech. Design, 135(6), p. 061001 (2013). 28. Mantriota, G. Theoretical and experimental study of a power split continuously variable transmission system Part 2", P.I. Mech. Eng. D-J. Aut., 215(7), pp. 851-864 (2001). 29. Bottiglione, F. and Mantriota, G. MG-IVT: An in_nitely variable transmission with optimal power ows", J. Mech. Design, 130(11), pp. 112603 (2008). 30. Pennestr_, E. and Valentini, P.P. A review of formulas for the mechanical e_ciency analysis of two degreesof- freedom epicyclic gear trains", J. Mech. Design, 125(3), pp. 602-608 (2003). 31. Delkhosh, M. and Foumani, M.S. Multi-objective geometrical optimization of full toroidal CVT", Int. J. Automot. Technol., 14(5), pp. 707-715 (2013). 32. Tang, Q. and Eberhard, P. Cooperative motion of swarm mobile robots based on particle swarm optimization and multibody system dynamics", Mech. Based Des. Struc., 39(2), pp. 179-193 (2011). 33. Trelea, I.C. The particle swarm optimization algorithm: convergence analysis and parameter selection", Inform. Process. Lett., 85(6), pp. 317-325 (2003). 34. Hollowell, W. Partnership for a new generation of vehicles", Transportation Research Circular, 453, Irvine, California, pp. 26-29 (1996). 35. Tong, H.Y. and Hung, W.T. A framework for developing driving cycles with on-road driving data", Transport Reviews, 30(5), pp. 589-615 (2010).