Analysis of Nonlinear Torsional Vibration Characteristics of EV Powertrain Considering Rotor Eccentricity of PMSM

doi:10.3901/JME.2018.22.128

Abstract

Abstract: The effect of the road excitation, the damping and inertia resistance causes nonlinear torsional vibration and leads to instability of EV powertrain. Nonlinear torsional vibration model is established considering the effect of rotor eccentricity. The equilibrium points of non-disturbed Hamilton system are solved. The influence of road excitation, damping and inertia resistance on the nonlinear vibration of EV transmission system respectively is studied. Moreover, the approach from periodic motion to chaotic motion is analyzed as well. The results show that EV powertrain makes one period motion when f₁ < 0.23,μ₁ > 0.2 or 0 < m₁ < 0.3 respectively. When 0.23 < f₁ < 0.5, 0 < μ₁ < 0.2 or 0.3 < m₁ < 0.5, EV powertrain transforms from stable periodic motion to chaotic motion through periodic bifurcation. When 0.52 < f₁ < 0.62 or 0.5 < m₁ < 0.6, EV transmission system transforms from chaos to three periods motion. EV powertrain is characterized by the alternation between the periodic motion and the chaotic motion with the increase of f₁ and m₁. When μ₁ > 0.2, the system always makes one period motion as the parameter μ₁ increases.

Key words: chaos, electric vehicle, nonlinear bifurcation, nonlinear torsional vibration, powertrain, rotor eccentricity

CLC Number:

U461

HU Donghai, YAN Yanzhi. Analysis of Nonlinear Torsional Vibration Characteristics of EV Powertrain Considering Rotor Eccentricity of PMSM[J]. Journal of Mechanical Engineering, 2018, 54(22): 128-136.

References

[1] LIU S,SUN B,ZHAO S,et al. Strongly nonlinear dynamics of torsional vibration for rolling mill's electromechanical coupling system[J]. Steel Research International,2015,86(9):984-992.
[2] USPENSK B,AVRAMOV K. Numerical analysis of nonlinear modes of piecewise linear systems torsional vibrations[J]. Meccanica,2017:1-15.
[3] 侯东晓,刘彬,时培明,等. 两自由度轧机非线性扭振系统的振动特性及失稳研究[J]. 振动与冲击,2012,31(3):32-36. HOU Dongxiao,LIU Bin,SHI Peiming,et al. Vibration characteristics of 2 DOF nonlinear torsional vibration system of rolling mill and its conditions of instability[J]. Journal of Vibration and Shock,2012,31(3):32-36.
[4] 侯东晓,朱月,刘浩然,等. 基于动态轧制力的冷轧机非线性振动特性研究[J]. 机械工程报,2013,49(14):45-50. HOU Dongxiao,ZHU Yue,LIU Haoran,et al. Research on nonlinear vibration characteristics of cold rolling mill based on dynamic rolling force[J]. Journal of Mechanical Engineering,2013,49(14):45-50.
[5] 史文库,刘国政,宋海生,等. 纯电动客车振动噪声特性[J]. 吉林大学学报,2018,48(2):373-379. SHI Wenku,LIU Guozhen,SONG Haisheng,et al. Vibration and noise characteristics of electric bus[J]. Journal of Jilin University,2018,48(2):373-379.
[6] 于蓬,王珮琪,章桐,等. 电动车动力传动系机电耦合扭转振动分析与控制[J]. 振动与冲击,2017,36(17):10-15. YU Peng,WANG Peiqi,ZHANG Tong,et al. Electro-mechanical coupled torsion vibration analysis and control of electric vehicle drivelines[J]. Journal of Vibration and Shock,2017,36(17):10-15.
[7] 陈星,苑士华,陈凯,等. 考虑电磁激励的车用永磁同步电机转子扭振特性[J]. 东北大学学报,2016,37(7):1008-1012. CHEN Xing,YUAN Shihua,CHEN Kai,et al. Torsional vibration characteristics of PMSM for HEV considering the electromagnetic excitation[J]. Journal of Northeastern University,2016,37(7):1008-1012.
[8] CHEN X,HU J,PENG Z,et al. Bifurcation and chaos analysis of torsional vibration in a PMSM-based driven system considering electromechanically coupled effect[J]. Nonlinear Dynamics,2017,88(1):1-16.
[9] 张伟,杨珏,张文明,等. 电动轮自卸车发动机扭转振动分析与试验研究[J]. 中南大学学报,2015,46(2):512-518. ZHANG Wei,YANG Jue,ZHANG Wenming,et al. Dynamic characteristics and test analysis of torsional vibration of diesel engine at motor dump track[J]. Journal of Central South University,2015,46(2):512-518.
[10] 邹良,唐小林,于海生,等. 混合动力轿车传动系的扭转振动与噪声分析[J]. 汽车工程,2014,36(6):709-714. ZOU Liang,TANG Xiaolin,YU Haisheng,et al. Analyses on the torsional vibration and noise of transmission system in hybrid electric cars[J]. Automotive Engineering,2014,36(6):709-714
[11] 张瑞成,卓丛林. 基于转子感应电流影响的轧机主传动机电耦合系统参激振动机理研究[J]. 振动与冲击,2016,35(17):1-6. ZHANG Ruicheng,ZHUO Conglin. Parametrically excited vibration of electromechanical coupling system of a rolling mill main drive based on rotor induction current influence[J]. Journal of Vibration and Shock,2016,35(17):1-6.
[12] 蔡仲昌,刘辉,项昌乐,等. 车辆多级行星传动系统强迫扭转振动与动载特性[J]. 吉林大学学报,2012,2(1):19-26. CAI Zhongchang,LIU Hui,XIANG Changle,et al. Characteristics of forced torsional vibration and dynamic load for vehicle multistage planetary transmission[J]. Journal of Jilin University,2012,42(1):19-26.
[13] HE Y L,DENG W Q,TANG G J. Analysis and simulation on UMP and EMT characters of turbo-generator under axial air-gap eccentricity[J]. International Journal of Rotating Machinery,2015,2015(8):1-10.
[14] XIANG C,LIU F,LIU H,et al. Nonlinear dynamic behaviors of permanent magnet synchronous motors in electric vehicles caused by unbalanced magnetic pull[J]. Journal of Sound & Vibration,2016,371:277-294.
[15] LIU S,LIU J,WU Z,et al. Bifurcation control for electromechanical coupling torsional vibration in rolling mill system driven by DC motor[J]. Journal of Vibroengineering,2016,50(1):113-125.
[16] 任朝晖,谢吉祥,周世华,等. 斜齿轮-转子-轴承弯扭轴耦合振动特性分析[J]. 机械工程学报,2015,51(15):75-89. REN Zhaohui,XIE Jixiang,ZHOU Shihua,et al. Vibration characteristic analysis of helical gear-rotor-bearing system with coupled lateral-torsional-axial[J]. Journal of Mechanical Engineering,2015,51(15):75-89.
[17] 秦大同,龙威,杨军,等. 变风速运行控制下风电传动系统的动态特性[J]. 机械工程学报,2012,48(7):1-8. QIN Datong,LONG Wei,YANG Jun,et al. Dynamic characteristics of wind turbine transmission system under verying wind speed and operation control conditions[J]. Journal of Mechanical Engineering,2012,48(7):1-8.
[18] LI Tongjie. Nonlinear torsional vibration modeling and bifurcation characteristic study of a planetary gear train[J]. Journal of Mechanical Engineering,2011,47(21):76.
[19] WANG Mengsheng,ZHOU Ruiping. Research of the nonlinear torsional vibration of the marine diesel generator s haft system[C]//International Conference on Electronic and Mechanical Engineering and Information Technology. IEEE,2011:397-400.
[20] 高崇一,杜国君,张忠健. 考虑多间隙影响的轧机主传动系统扭振分析[J]. 机械工程学报,2014,50(3):130-136. GAO Chongyi,DU Guojun,ZHANG Zhongjian. Torsional vibration analysis of the main drive system of a rolling mill with impact of multi-clearance[J]. Journal of Mechanical Engineering,2014,50(3):130-136.
[21] LIU X,LIANG D,YANG X. Correction the PMSM
dynamic test results based on rotor dynamics mathematical model[C]//Ninth International Conference on Ecological Vehicles and Renewable Energies. IEEE,2014:1-6.
[22] SHI P,LI J,ZHAO D,et al. Nonlinear torsional vibration dynamics of rolling mill's drive system under spindle angle parametric excitation[C]//Intelligent Control and Automation. IEEE,2012:3091-3095.