Energy Storage Control Method of Flexible Spiral Springs Driven by Permanent Magnet Synchronous Motor Based on Backstepping Control and Modal Estimation
1. Hebei Key Laboratory of Distributed Energy Storage and Micro Grid North China Electric Power University Baoding 071003 China; 2. State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources North China Electric Power University Baoding 071003 China
Abstract:Spiral spring is the energy storage material of new mechanical elastic energy storage system. As a typical elastic element, it will exhibit the flexibility in energy storage process, making the conventional PI controller be difficult to maintain good dynamic performance over the range of normal operation. Firstly, spiral spring is equivalent to a Euler-Bernoulli beam. Based on the Lagrange equation, a dynamic model is established for describing the vibration mode of the spring and using for control algorithm. Then, nonlinear backstepping control is introduced into the system. A control method integrating with vibration suppression and energy storage is proposed for permanent synchronous magnet motor to drive flexible load directly, and the speed controller and current controller including modal vibration suppression are established respectively. The stability of the controllers is proved theoretically. Meanwhile, for the unknown feature of the spring modal, an estimation method of vibration mode is designed by the least-squares algorithm with a forgetting factor. Compared with the conventional PI control, the experimental results indicate that the proposed method can inhibit the resonance effectively and complete the energy storage stably, which verifies the correctness and effectiveness of the method.
余洋, 田夏, 从乐瑶, 谢仁杰, 米增强. 基于反推控制和模态估计的永磁同步电机驱动柔性涡簧储能控制方法[J]. 电工技术学报, 2019, 34(24): 5084-5094.
Yu Yang, Tian Xia, Cong Leyao, Xie Renjie, Mi Zengqiang. Energy Storage Control Method of Flexible Spiral Springs Driven by Permanent Magnet Synchronous Motor Based on Backstepping Control and Modal Estimation. Transactions of China Electrotechnical Society, 2019, 34(24): 5084-5094.
[1] 郭鹏, 文晶, 朱丹丹, 等. 基于源-荷互动的大规模风电消纳协调控制策略[J]. 电工技术学报, 2017, 32(3): 1-9. Guo Peng, Wen Jing, Zhu Dandan, et al.The coordination control strategy for large-scale wind power consumption based on source-load inter- active[J]. Transactions of China Electrotechnical Society, 2017, 32(3): 1-9. [2] Gallo A B, Simões-Moreira J R, Costa H K M, et al. Energy storage in the energy transition context: a technology review[J]. Renewable and Sustainable Energy Reviews, 2016, 65: 800-822. [3] 李建林, 马会萌, 惠东. 储能技术融合分布式可再生能源的现状及发展趋势[J]. 电工技术学报, 2016, 31(14): 1-10. Li Jianlin, Ma Huimeng, Hui Dong.Present deve- lopment condition and trends of energy storage technology in the integration of distributed renewable energy[J]. Transactions of China Electrotechnical Society, 2016, 31(14): 1-10. [4] 米增强, 余洋, 王璋奇, 等. 永磁电机式机械弹性储能机组及其关键技术初探[J]. 电力系统自动化, 2013, 37(1): 26-30. Mi Zengqiang, Yu Yang, Wang Zhangqi, et al.Preliminary exploration on permanent magnet motor based mechanical elastic energy storage unit and key technical issues[J]. Automation of Electric Power Systems, 2013, 37(1): 26-30. [5] Yu Yang, Chang Da, Zheng Xiaoming, et al.A stator current oriented closed-loop I-f control of sensorless SPMSM with fully unknown parameters for reverse rotation prevention[J]. IEEE Transactions on Power Electronics, 2018, 33(10): 8607-8622. [6] Muñoz-Guijosa J M, Caballero D F, de la Cruz V R, et al. Generalized spiral torsion spring model[J]. Mechanism and Machine Theory, 2012, 51: 110-130. [7] Yu Yang, Cong Leyao, Tian Xia, et al.Simultaneous suppression of torque ripple and flexible load vibration for PMSM under stator current vector orientation[J]. IET Electric Power Applications, 2019, 13(3): 359-369. [8] Tang Jingqiu, Wang Zhangqi, Mi Zengqiang, et al.Finite element analysis of flat spiral spring on mechanical elastic energy storage technology[J]. Research Journal of Applied Sciences Engineering & Technology, 2014, 7(5): 993-1000. [9] 王璨, 杨明, 徐殿国. 基于PI控制的双惯量弹性系统机械谐振的抑制[J]. 电气传动, 2015, 45(1): 49-53. Wang Can, Yang Ming, Xu Dianguo.Mechanical resonance suppression of the elastic two-inertia system based on PI control[J]. Electric Drive, 2015, 45(1): 49-53. [10] Dan P, Vyhlídal T, Olgac N.Delayed resonator with distributed delay in acceleration feedback-design and experimental verification[J]. IEEE/ASME Transa- ctions on Mechatronics, 2015, 21(4): 2120-2131. [11] 丁有爽, 肖曦. 永磁同步电机直接驱动柔性负载控制方法[J]. 电工技术学报, 2017, 32(4): 123-132. Ding Youshuang, Xiao Xi.Control strategies of flexible load driven directly by permanent magnet synchronous motor[J]. Transactions of China Elec- trotechnical Society, 2017, 32(4): 123-132. [12] Duan Wei, Feng Hengchang, Liu Meijiao, et al.Dynamic analysis and simulation of flat spiral spring in elastic energy storage device[C]//2012 Asia- Pacific Power and Energy Engineering Conference, Shanghai, China, 2012: 1-4. [13] 赵峰, 曹树谦, 冯文周. 干摩擦悬臂梁一阶等效固有频率研究[J]. 振动与冲击, 2015, 34(10): 46-49. Zhao Feng, Cao Shuqian, Feng Wenzhou.First order equivalent natural frequency for a cantilever beam with dry friction[J]. Journal of Vibration and Shock, 2015, 34(10): 46-49. [14] 冯志华, 胡海岩. 受轴向基础激励悬臂梁非线性动力学建模及周期振动[J]. 固体力学学报, 2002, 23(4): 373-379. Feng Zhihua, Hu Haiyan.Nonlinear dynamic modelling and periodic vibration of a cantilever beam subjected to axial movement of basement[J]. Acta Mechanical Solida Sinica, 2002, 23(4): 373-379. [15] 段巍, 冯恒昌, 王璋奇. 弹性储能装置中平面涡卷弹簧的有限元分析[J]. 中国工程机械学报, 2011, 9(4): 493-498. Duan Wei, Feng Hengchang, Wang Zhangqi.Finite element analysis on fiat spiral springs in elastic energy storage devices[J]. Chinese Journal of Con- struction Machinery, 2011, 9(4): 493-498. [16] 丁有爽, 肖曦. 伺服系统柔性负载建模方法研究[J]. 中国电机工程学报, 2016, 36(3): 818-827. Ding Youshuang, Xiao Xi.Mathematical modeling of flexible load in servo system[J]. Proceedings of the CSEE, 2016, 36(3): 818-827. [17] Hu Qinglei, Wang Zidong, Gao Huijun.Sliding mode and shaped input vibration control of flexible systems[J]. IEEE Transactions on Aerospace and Electronic Systems, 2008, 44(2): 503-519. [18] 刘栋良, 郑谢辉, 崔丽丽. 无速度传感器永磁同步电机反推控制[J]. 电工技术学报, 2011, 26(9): 67-72. Liu Dongliang, Zheng Xiehui, Cui Lili.Backstepping control of speed sensorless permanent magnet synchronous motor[J]. Transactions on China Elec- trotechnical Society, 2011, 26(9): 67-72. [19] 徐艳平, 雷亚洲, 马灵芝, 等. 基于反推控制的永磁同步电机新型直接转矩控制方法[J]. 电工技术学报, 2015, 30(10): 83-89. Xu Yanping, Lei Yazhou, Ma Lingzhi, et al.A novel direct torque control of permanent magnet synchronous motors based on backstepping control[J]. Transa- ctions of China Electrotechnical Society, 2015, 30(10): 83-89. [20] 蔡鹏, 王庆超. 基于自适应模糊观测器的挠性航天器主动振动抑制方法研究[J]. 宇航学报, 2009, 30(3): 890-894, 952. Cai Peng, Wang Qingchao.Study on active vibration suppression of flexible spacecraft based on adaptive fuzzy observer[J]. Journal of Astronautics, 2009, 30(3): 890-894, 952. [21] 陈著名, 邱小华. 直流电机多闭环调速系统仿真[J].伺服控制, 2008(12): 37-39. Chen Zhuming, Qiu Xiaohua.Simulation of multi- closed loop speed control in DC motor system[J]. Servo Control, 2008(12): 37-39. [22] 李路菁. 基于DSP的永磁同步电机伺服系统的研究[D]. 南京: 南京航空航天大学, 2005.