Dimensional Synthesis of a Dedicated Hybrid Transmission Through Efficiency Optimization of Gear Trains

  • Marina Baldissera de SouzaEmail author
  • Rodrigo de Souza Vieira
  • Daniel Martins
  • Luís Paulo Laus
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 73)


Hybridization is a promising solution to reduce regulated emissions without compromising vehicle’s performance, what makes the development of transmission systems for hybrid electric vehicles a relevant and prolific study field. Inside this scenario, one new transmission category emerges: the Dedicated Hybrid Transmission (DHT), which includes transmission systems that use at least two sources of propulsion, an internal combustion engine and at least one electric motor, and whose functionality depends on both propulsion sources. One important aspect to be studied is the gear trains’ mechanical efficiency of DHTs. In this paper, a DHT available on the market was selected as a case study to apply a technique of dimensional synthesis focusing on efficiency. The technique is based on an electromechanical analogy associating graph and screw theories with Kirchhoff laws. The objective is to optimize the DHT’s efficiency by altering the gears’ pitch radii, seeking to reduce the consumption of a vehicle under city driving conditions.


Efficiency optimization Automotive transmission Gear trains Dimensional synthesis Graph and screw theories Electromechanical analogy 


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thanks are due to CNPq for financial support.


  1. 1.
    AVL: Avl future hybrid 7 and 8 mode (2016),, accessed: 02 oct. 2017
  2. 2.
    Das, S., Suganthan, P.N.: Diffierential evolution: A survey of the state-of-the-art. IEEE transactions on evolutionary computation 15(1), 4–31 (2011)CrossRefGoogle Scholar
  3. 3.
    Davies, T.: Kirchhoff’s circulation law applied to multi-loop kinematic chains. Mechanism and machine theory 16(3), 171–183 (1981)CrossRefGoogle Scholar
  4. 4.
    Davies, T.: Mechanical networks iii - wrenches on circuit screws. Mechanism and Machine Theory 18(2), 107–112 (1983)CrossRefGoogle Scholar
  5. 5.
    Davies, T.: The 1887 committee meets again. subject: freedom and constraint. In: Proceedings of a Symposium commemorating the legacy, works and life of Sir Robert Stawell Ball upon the 100th Anniversary of ‘A Treatise on the theory of Screws’ (2000)Google Scholar
  6. 6.
    Ehsani, M., Gao, Y., Emadi, A.: Modern electric, hybrid electric, and fuel cell vehicles: fundamentals, theory, and design. CRC press (2009)Google Scholar
  7. 7.
    EPA: Dynamometer drive schedules (2017),, accessed: 25 jul. 2017
  8. 8.
    Fischer, R., Beste, F., Yolga, M.: Seven-mode transmission for plug-in hybrid concepts. MTZ worldwide 75(12), 10–17 (2014)CrossRefGoogle Scholar
  9. 9.
    Laus, L., Simas, H., Martins, D.: Eficiency of gear trains determined using graph and screw theories. Mechanism and Machine Theory 52, 296–325 (2012)CrossRefGoogle Scholar
  10. 10.
    Moskalik, A., Hula, A., Barba, D., Kargul, J.: Investigating the effect of advanced automatic transmissions on fuel consumption using vehicle testing and modeling. SAE International Journal of Engines 9(2016-01-1142), 1916–1928 (2016)CrossRefGoogle Scholar
  11. 11.
    Naunheimer, H., Bertsche, B., Ryborz, J., Novak, W.: Automotive transmissions: Fundamentals, selection, design and application. Springer Science & Business Media (2010)Google Scholar
  12. 12.
    de Souza, M.B.: Eficiency optimization of a hybrid automotive transmission’s gear train using graph and screw theories. Master’s thesis, Universidade Federal de Santa Catarina (2018)Google Scholar
  13. 13.
    de Souza, M.B., de Souza Vieira, R., Martins, D., Cazangi, H.R., Laus, L.P.: Mechanical efficiency determination of a dedicated hybrid transmisssion using graph and screw theories: a case study. In: 24th ABCM International Congress of Mechanical Engineering (COBEM 2017). ABCM (2017)Google Scholar
  14. 14.
    Xue, N.: Design and Optimization of Lithium-Ion Batteries for Electric-Vehicle Applications. Ph.D. thesis, University of Michigan (2014)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Marina Baldissera de Souza
    • 1
    Email author
  • Rodrigo de Souza Vieira
    • 1
  • Daniel Martins
    • 1
  • Luís Paulo Laus
    • 2
  1. 1.Federal University of Santa CatarinaFlorianópolisBrazil
  2. 2.Federal University of Technology - ParanáCuritibaBrazil

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