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Dynamical analysis of series hybrid electric vehicle powertrain with torsional vibration: Antimonotonicity and coexisting attractors

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  • Tametang Meli, Maxim Idriss
  • Yemélé, David
  • Leutcho, Gervais Dolvis

Abstract

In this paper, nonlinear dynamics of the torsional vibrations of the Series Hybrid Electric Vehicle (SHEV) powertrain are explored. The mathematical equation of the SHEV is obtained by considering both internal and external excitations. We examine the effects of rotational speed, load fluctuation, and road fluctuation on the dynamics of the proposed model. Preliminary analysis based on Hamiltonian energy shows that there is sufficient energy to maintain continuous oscillation behaviors. Our study shows that the interaction between internal and external perturbations originates an important set of phenomena, including chaos, when varying system parameters. More interestingly, the exciting phenomenon of multistability is investigated for the first time on the proposed SHEV model. Furthermore, when increasing excitation force amplitude in some specific regions, an interesting scenario of antimonotonicity is found.

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  • Tametang Meli, Maxim Idriss & Yemélé, David & Leutcho, Gervais Dolvis, 2021. "Dynamical analysis of series hybrid electric vehicle powertrain with torsional vibration: Antimonotonicity and coexisting attractors," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    • Handle: RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921005282
    DOI: 10.1016/j.chaos.2021.111174
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    References listed on IDEAS

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    1. Peng, Jiankun & He, Hongwen & Xiong, Rui, 2017. "Rule based energy management strategy for a series–parallel plug-in hybrid electric bus optimized by dynamic programming," Applied Energy, Elsevier, vol. 185(P2), pages 1633-1643.
    2. Leutcho, G.D. & Kengne, J. & Kengne, L. Kamdjeu, 2018. "Dynamical analysis of a novel autonomous 4-D hyperjerk circuit with hyperbolic sine nonlinearity: Chaos, antimonotonicity and a plethora of coexisting attractors," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 67-87.
    3. He, Hongwen & Zhang, Xiaowei & Xiong, Rui & Xu, Yongli & Guo, Hongqiang, 2012. "Online model-based estimation of state-of-charge and open-circuit voltage of lithium-ion batteries in electric vehicles," Energy, Elsevier, vol. 39(1), pages 310-318.
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    Cited by:

    1. Ramamoorthy, Ramesh & Rajagopal, Karthikeyan & Leutcho, Gervais Dolvis & Krejcar, Ondrej & Namazi, Hamidreza & Hussain, Iqtadar, 2022. "Multistable dynamics and control of a new 4D memristive chaotic Sprott B system," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    2. Garai, Shilpa & Pati, N.C. & Pal, Nikhil & Layek, G.C., 2022. "Organized periodic structures and coexistence of triple attractors in a predator–prey model with fear and refuge," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    3. Vijayakumar, M.D. & Natiq, Hayder & Tametang Meli, Maxim Idriss & Leutcho, Gervais Dolvis & Tabekoueng Njitacke, Zeric, 2022. "Hamiltonian energy computation of a novel memristive mega-stable oscillator (MMO) with dissipative, conservative and repelled dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    4. Hossain, Mainul & Kumbhakar, Ruma & Pal, Nikhil, 2022. "Dynamics in the biparametric spaces of a three-species food chain model with vigilance," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).

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