Tametang Meli Maxim Idriss, Leutcho Gervais Dolvis, Yemele David
Mechanics and Modeling of Physical Systems Research Unit (UR-2MSP), Department of Physics, Faculty of Sciences, University of Dschang, P.O. Box 69, Dschang, Cameroon.
Department of Electrical Engineering, Écolecole de Technologie Supérieure (ÉTS), Montréal, Québec H3C1K3, Canada.
Chaos. 2021 Jul;31(7):073126. doi: 10.1063/5.0057761.
The non-linear analysis of undesired vibrations observed on hybrid electric vehicle (HEV) powertrains is hardly developed in the literature. In this paper, a mathematical modeling of the vibrations observed at the level of the electromechanical coupling between the internal combustion engine and the generator in the series architecture of HEVs, named (SHEVs), is established using the Lagrangian theory. The stability and instability motions of this SHEV are perfectly detailed using amplitude-frequency response curves. An analysis of the electromagnetic torque amplitude of the new SHEV demonstrates the presence of multistability with the coexistence of two or three different types of attractors. In addition, this new SHEV model has other dynamic regimes of chaotic and periodic oscillations. Coexisting bifurcations with parallel branches, hysteresis, and period-doubling are also discovered. A unique contribution of this work is the abundance and complicated dynamical behaviors found in such types of systems compared with some rare cases previously reported on HEV powertrain models. The simulation results obtained using non-linear analysis tools sufficiently demonstrate that the objectives of this paper are achieved.
混合动力电动汽车（HEV）动力总成上出现的非期望振动的非线性分析在文献中几乎没有得到发展。本文利用拉格朗日理论，建立了串联式混合动力电动汽车（SHEV）中内燃机与发电机之间机电耦合水平上观测到的振动的数学模型。利用幅频响应曲线对该SHEV的稳定性和不稳定性运动进行了详细描述。对新型SHEV电磁转矩幅值的分析表明存在多稳定性，同时存在两种或三种不同类型的吸引子。此外，这种新型SHEV模型还有混沌和周期振荡等其他动态特性。还发现了具有平行分支、滞后和倍周期的共存分岔现象。与之前报道的HEV动力总成模型中一些罕见情况相比，这项工作的独特贡献在于在此类系统中发现了丰富且复杂的动力学行为。使用非线性分析工具获得的仿真结果充分证明了本文目标的实现。
