Dynamical model of HEV with two planetary gear units and its application to optimization of energy consumption

  • Jiangyan ZhangEmail author
  • Shota Inuzuka
  • Takafumi Kojima
  • Tielong Shen
  • Junichi Kako
Research Paper


A hybrid electric vehicle (HEV) that uses multiple planetary gear units with clutches as transmission system is advanced for the powertrain performance, because the operation of the clutches can lead to distinct operating modes, and the induced possible operating modes provide additional freedom to deal with the energy optimal control problem. Under each operating mode, the powertrain mechanical system has specific dynamical behavior. In order to develop model-based optimization schemes that can tackle the transient operations of the vehicle, exact dynamical modeling is investigated focusing on a hybrid powertrain system that uses a two-planetary-gear transmission box with two clutches. It shows that according to the states of the two clutches, the powertrain system has the power-split mode, parallel mode and the electric vehicle (EV) mode. Finally, an analysis for the calculation of the desired driving torque and its application to the dynamic programming (DP)-based energy management indicate the significance of the developed exact dynamical models.


hybrid electric vehicle two-planetary-gear modeling energy management dynamic programming 


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Copyright information

© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Jiangyan Zhang
    • 1
    Email author
  • Shota Inuzuka
    • 2
  • Takafumi Kojima
    • 2
  • Tielong Shen
    • 2
  • Junichi Kako
    • 3
  1. 1.College of Mechanical and Electronic EngineeringDalian Minzu UniversityDalianChina
  2. 2.Department of Engineering and Applied SciencesSophia UniversityTokyoJapan
  3. 3.Higashi-Fuji Research CenterToyota Motor CorporationShizuokaJapan

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