volume | PIER Journals

Abstract

To suppress the torsional vibration caused by the omission of couplings and dampers during flexible power transmission in the permanent magnet (PM) synchronous drive system of pure electric vehicles (EVs), this paper presents a non-singular fast terminal sliding mode control (NFTSMC) torsional vibration suppression strategy based on a sliding mode disturbance observer (SMDO). First, a PM synchronous drive system is simplified as a two-inertia model, and a mathematical model is established. Then, an NFTSMC controller of the load-side speed feedback is designed to suppress torsional vibration. Meanwhile, an SMDO is designed to estimate the load disturbance, and the estimated value is fed back to the controller to perform feedforward compensation. The robustness of the system is improved, and the effect of the load disturbance on the system is reduced. The results of the simulations and experiments show that the presented NFTSMC based on SMDO strategy has a strong torsional vibration suppression effect comparing to PI control and conventional sliding mode control.

1. Ahn, Kukhyun, Emrah Bayrak, and Panos Papalambros, "Electric vehicle design optimization: integration of a high-fidelity interior-permanent-magnet motor model," IEEE Transactions on Vehicular Technology, Vol. 64, No. 9, 3870-3877, 2015.
doi:10.1109/TVT.2014.2363144 Google Scholar

2. Zhang, Youguo, Tiancai Ma, and Xinxi Lu, "Mode optimization of the motor controller cover in a new energy vehicle and its vibration noise analysis," Journal of Vibration and Shock, Vol. 41, No. 14, 271-279, 2022.
doi:10.13465/j.cnki.jvs.2022.14.035 Google Scholar

3. Zhuang, Yuanqiang, Yang Wu, Bangji Zhang, and Wen Hu, "Torque coordinated control of distributed drive electric vehicle based on nonlinear {mpc," Journal of Vibration and Shock, Vol. 40, No. 13, 239-246, 2021.
doi:10.13465/j.cnki.jvs.2021.13.030 Google Scholar

4. Tang, Xiaolin, Xiaosong Hu, Wei Yang, and Haisheng Yu, "Novel torsional vibration modeling and assessment of a power-split hybrid electric vehicle equipped with a dual-mass flywheel," IEEE Transactions on Vehicular Technology, Vol. 67, No. 3, 1990-2000, 2018.
doi:10.1109/TVT.2017.2769084 Google Scholar

5. Tang, Xiaolin, Wei Yang, Xiaosong Hu, and Dejiu Zhang, "A novel simplified model for torsional vibration analysis of a series-parallel hybrid electric vehicle," Mechanical Systems and Signal Processing, Vol. 85, 329-338, 2016.
doi:10.1016/j.ymssp.2016.08.020 Google Scholar

6. Li, Wenli, Yu Lu, Dong Guo, Yongkang Liu, Xiaohui Shi, and Haiyan Yan, "Mechanical resonance analysis and suppression method of multi-inertia servo system considering time-varying meshing stiffness," Journal of Vibration and Shock, Vol. 40, No. 19, 164-171, 2021.
doi:10.13465/j.cnki.jvs.2021.19.021 Google Scholar

7. Liu, Haoran, Yekuan Zhang, Xiaomei Li, and Shuang Liu, "Investigation and restraining of impact torsional vibration of rolling mill’s nonlinear drive system," Journal of Vibration and Shock, Vol. 29, No. 7, 179-183, 2010.
doi:10.13465/j.cnki.jvs.2021.19.021 Google Scholar

8. Yang, Ying, Jieming Zhang, Guoqing Xu, Shuang Wang, and Fei Wang, "Application research onspeed negative feedback in mechanical resonance suppression in servo system," Transactions of China Electrotechnical Society, Vol. 33, No. 12, 5459-5469, 2018.
doi:10.19595/j.cnki.1000-6753.tces.171484 Google Scholar

9. Yu, Jing, Yong Feng, and Jianfeng Zheng, "Suppression of mechanical resonance based on higher-order sliding mode and acceleration feedback," Control Theory and Applications, Vol. 26, No. 10, 1133-1136, 2009. Google Scholar

10. Girsang, Irving, Jaspreet Dhupia, Eduard Muljadi, Mohit Singh, and Jason Jonkman, "Modeling and control to mitigate resonant load in variable-speed wind turbine drivetrain," IEEE Journal of Emerging and Selected Topics in Power Electronics, Vol. 1, No. 4, 277-286, 2013.
doi:10.1109/JESTPE.2013.2284096 Google Scholar

11. Fu, H., G. Tian, H. Chen, and Q. Chen, "A study on the torsional vibration control of motor-transmission integrated drive system," Automotive Engineering, Vol. 32, No. 7, 596-600, 2010. Google Scholar

12. Lv, Chen, Yahui Liu, Xiaosong Hu, Hongyan Guo, and Dongpu Cao, "Simultaneous observation of hybrid states for cyber-physical systems: a case study of electric vehicle powertrain," IEEE Transactions on Cybernetics, Vol. 48, No. 8, 2357-2367, 2018.
doi:10.1109/TCYB.2017.2738003 Google Scholar

13. Feng, Yongkai, Shuzhen Ren, Qi Chen, and Han Zhao, "Dynamics simulation model of the transmission system for two-speed electric vehicle," Journal of Mechanical Transmission, Vol. 37, No. 10, 37-40, 2013.
doi:10.16578/j.issn.1004.2539.2013.10.035 Google Scholar

14. Vadamalu, Raja and Christian Beidl, "Mpc for active torsional vibration reduction of hybrid electric powertrains," Ifac-papersonline, Vol. 49, 756-761, 2016.
doi:10.1016/j.ifacol.2016.08.110 Google Scholar

15. Yu, Peng, Tong Zhang, Ling Sun, and Rong Guo, "Powertrain torsional vibration study of central-driven pure EV," Journal of Vibration and Shock, Vol. 34, No. 10, 121-127, 2015.
doi:10.13465/j.cnki.jvs.2015.10.021 Google Scholar

16. Ge, Shuaishuai, Yufan Yang, Dong Guo, Zhigang Zhang, and Yuanyuan Yi, "Research on dynamic characteristics of electromechanical coupling of electric drive system of electric vehicle," Journal of Chongqing University of Technology (natural Science), Vol. 35, No. 5, 121-127, 2021.
doi:10.3969/j.issn.1674－8425(z).2021.05.007 Google Scholar

17. Zhao, Kaihui, Wangke Dai, Ruirui Zhou, Aojie Leng, Wenchang Liu, Pengqi Qiu, Gang Huang, and Gongping Wu, "Novel model-free sliding mode control of permanent magnet synchronous motor based on extended sliding mode disturbance observer," Proceedings of The Csee, Vol. 42, No. 6, 2375-2386, 2022.
doi:10.13334/j.0258-8013.pcsee.210273 Google Scholar

18. Zhao, Kaihui, Wenchang Liu, Zhicheng Liu, Lin Jia, and Gang Huang, "Model-free high sliding mode control for permanent magnet synchronous motor," Transactions of China Electrotechnical Society, Vol. 38, No. 6, 1472-1485, 2023.
doi:10.19595/j.cnki.1000-6753.tces.220615 Google Scholar

19. Liu, Wei, Hongwen He, Fengchun Sun, and Hong Wang, "Optimal design of adaptive shaking vibration control for electric vehicles," Vehicle System Dynamics, Vol. 57, No. 1, 134-159, 2019.
doi:10.1080/00423114.2018.1447676 Google Scholar

20. Xu, Bo, Lei Zhang, and Wei Ji, "Improved non-singular fast terminal sliding mode control with disturbance observer for {pmsm," IEEE Transactions on Transportation Electrification, Vol. PP, No. 4, 2753-2762, 2021.
doi:10.1109/TTE.2021.3083925 Google Scholar

21. Zhao, Kaihui, Ruirui Zhou, Jinhua She, Changfan Zhang, Jing He, Gang Huang, and Xiangfei Li, "Demagnetization-fault reconstruction and tolerant-control for {pmsm,". Google Scholar

22. Zhao, Kaihui, Ning Jia, Jinhua She, Wangke Dai, Ruirui Zhou, Wenchang Liu, and Xiangfei Li, "Robust model-free super-twisting sliding-mode control method based on extended sliding-mode disturbance observer for {pmsm,". Google Scholar

23. Zhu, Qixin, Jiaqi Wang, Hongli Liu, Yonghong Zhu, and Fan Zhang, "Double vibration suppression of {pmsm,". Google Scholar

24. Wang, Xin and Huangqiu Zhu, "Vibration compensation control of bpmsm with dead-time effect based on adaptive neural network band-pass filter," IEEE Transactions on Power Electronics, Vol. 37, No. 6, 7145-7155, Jun. 2022.
doi:10.1109/tpel.2022.3141454 Google Scholar

25. Yang, Kezhen, Yefa Hu, Huachun Wu, Jian Zhou, Weihu Xiao, and Nianxian Wang, "Harmonic vibration suppression of maglev rotor system under variable rotational speed without speed measurement," Mechatronics, Vol. 91, 11, May 2023.
doi:10.1016/j.mechatronics.2023.102956 Google Scholar

Mr. Ning Jia

Professor Kaihui Zhao

Dr. Yuying Lv

Dr. Xiangfei Li