Abstract:The elastic connection devices in the Servo motor drive system lead to mechanical resonance. This paper proposes a mechanical resonance suppression method based on speed negative feedback. This method compensates the speed including high-frequency components of resonance frequency to the electromagnetic torque, increasing the system damping coefficient and ensuring system performance simultaneously. The parameter design method is given in the paper, analyzing the influence of the feedback coefficient on the mechanical resonance suppression by using the transfer function of load speed/electromagnetic torque and the transfer function of load speed/given speed firstly. In order to obtain the optimal control performance, this paper proposed the use of trade-off coefficient to evaluate the feedback coefficient, weigh the suppression effect and the overall response of the system to obtain the optimal range of feedback coefficient; based on the phase relationship between the increment of speed and output electromagnetic torque, the quantitative relationship between the range of constant filter time and the stiffness coefficient of the shaft and the resonance frequency is obtained. The robustness of the speed negative feedback suppression method to load inertia change is proved, which provides theoretical guidance for engineering application of the method. The results of simulation and experiment show that the speed negative feedback can effectively suppress the mechanical resonance according to the parameter design method proposed in this paper, and the method has strong robustness to the change of load inertia.
杨影, 张杰鸣, 徐国卿, 王爽, 汪飞. 转速负反馈在伺服系统机械谐振抑制中的应用研究[J]. 电工技术学报, 2018, 33(23): 5459-5469.
Yang Ying, Zhang Jieming, Xu Guoqing, Wang Shuang, Wang Fei. Application Research on Speed Negative Feedback in Mechanical Resonance Suppression in Servo System. Transactions of China Electrotechnical Society, 2018, 33(23): 5459-5469.
[1] 杨明, 胡浩, 徐殿国. 永磁交流伺服系统机械谐振成因及其抑制[J]. 电机与控制学报, 2012, 16(1): 79-84. Yang Ming, Hu Hao, Xu Dianguo.Cause and suppression of mechanical resonance in PMSM servo system[J]. The Electric Machines and Control, 2012, 16(1): 79-84. [2] 丁有爽, 肖曦. 基于负载位置反馈的永磁同步电机驱动柔性负载谐振抑制方法[J]. 电工技术学报, 2017, 32(11): 96-110. Ding Youshuang, Xiao Xi.Permanent magnet synchronous motor drive flexible load resonance suppression based on load position feedback[J]. Transactions of China Electrotechnical Society, 2017, 32(11): 96-110. [3] 唐任远. 现代永磁电机理论与设计[M]. 北京: 机械工业出版社, 2016. [4] 张琛, 李征, 蔡旭, 等. 双馈风电机组轴系扭振的稳定与控制[J]. 电工技术学报, 2015, 30(10): 301-310. Zhang Chen, Li Zheng, Cai Xu, et al.Stability and control of shaft torsional oscillation for doubly-fed wind power generator[J]. Transactions of China Electrotechnical Society, 2015, 30(10): 301-310. [5] 赵祖熠, 刘李勃, 解大, 等. 基于阻尼器的双馈风力发电系统扭振抑制策略[J]. 电力系统保护与控制, 2016, 44(3): 8-14. Zhao Zuyi, Liu Libo, Xie Da, et al.A novel torsional vibration damping method for a DFIG-based system[J]. Power System Protection and Control, 2016, 44(3): 8-14. [6] 胡文平, 周文, 王磊, 等. 基于联合仿真的风电机组低电压穿越传动链扭振抑制研究[J]. 电力系统保护与控制, 2016, 44(24): 196-201. Hu Wenping, Zhou Wen, Wang Lei, et al.Study on suppression strategy for wind turbine drive train torsional vibration under grid fault based on co-simulation[J]. Power System Protection and Control, 2016, 44(24): 196-201. [7] 刘军, 周飞航, 刘飞. 永磁同步风电机组传动轴振动分析与抑制[J]. 电工技术学报, 2018, 33(4): 930-942. Liu Jun, Zhou Feihang, Liu Fei.Analysis and restraining of permanent magnet synchronous wind turbine shaft vibration[J]. Transactions of China Electrotechnical Society, 2018, 33(4): 930-942. [8] Kang Jian, Chen Songlin, Di Xiaoguang.Online detection and suppression of mechanical resonance for servo system[C]//2012 Third International Conference on Intelligent Control and Information Processing (ICICIP), Dalian, China, 2012: 16-21. [9] Szabat K, Orlowska-Kowalska T.Vibration suppression in a two-mass drive system using PI speed controller and additional feedbacks—comparative study[J]. IEEE Transactions on Industrial Electronics, 2007, 54(2): 1193-1206. [10] Zhang Guogang.Speed control of two-inertia system by PI/PID control[J]. IEEE Transactions on Industrial Electronics, 2000, 47(3): 603-609. [11] Thomsen S, Hoffmann N, Fuchs F W.PI control, PI-based state space control, and model-based predictive control for drive systems with elastically coupled loads—a comparative study[J]. IEEE Transactions on Industrial Electronics, 2011, 58(8): 3647-3657. [12] O'Sullivan T M, Bingham C M, Schofield N. High- performance control of dual-inertia servo-drive systems using low-cost integrated SAW torque transducers[J]. IEEE Transactions on Industrial Electronics, 2006, 53(4): 1226-1237. [13] Colombi S, Raimondi T.Compliance compensation in mechatronic systems[C]//20th International Conference on Industrial Electronics, Control and Instrumentation, Bologna, Italy, 1994, 2: 946-951. [14] 巫佩军, 马少康, 陈乔, 等. 基于特定振动反馈的柔性系统振动抑制方法[J]. 电工技术学报, 2017, 32(2): 188-194. Wu Peijun, Ma Shaokang, Chen Qiao, et al.Resonant suppression of flexible system by feedback compensation of resonant frequencies[J]. Transactions of China Electrotechnical Society, 2017, 32(2): 188-194. [15] 马小亮, 蒋琪, 王丙元, 等. 升船机交流主拖动系统中扭振抑制的研究[J]. 电工技术学报, 2001,16(3): 29-34. Ma Xiaoliang, Jiang Qi, Wang Bingyuan, et al.Research on torsional vibration suppression of main drive system of ship elevator[J]. Transactions of China Electrotechnical Society, 2001, 16(3): 29-34. [16] Dhaouadi R, Kubo K, Tobise M.Analysis and compensation of speed drive systems with torsional loads[J]. IEEE Transactions on Industry Applications, 1994, 30(3): 760-766. [17] 郎志, 杨明, 徐殿国. 双惯量弹性系统负载扰动观测器设计研究[J]. 电工技术学报, 2016, 31(增刊2): 84-91. Lang Zhi, Yang Ming, Xu Dianguo.Mechanical resonance suppression and disturbance rejection of two-mass system based on state-feedback observer[J]. Transactions of China Electrotechnical Society, 2016, 31(S2): 84-91. [18] Orlowska-Kowalska T, Kaminski M.Effectiveness of saliency-based methods in optimization of neural state estimators of the drive system with elastic couplings[J]. IEEE Transactions on Industrial Electronics, 2009, 56(10): 4043-4051. [19] Szabat K, Orlowska-Kowalska T.Performance improvement of industrial drives with mechanical elasticity using nonlinear adaptive Kalman filter[J]. IEEE Transactions on Industrial Electronics, 2008, 55(3): 1075-1084. [20] Li Wen, Hori Y.Vibration suppression using single neuron-based PI fuzzy controller and fractional-order disturbance observer[J]. IEEE Transactions on Industrial Electronics, 2007, 54(1): 117-126. [21] Hori Y, Sawada H, Chun Y.Slow resonance ration control for vibration suppression and disturbance rejection in torsional system[J]. IEEE Transactions on Industrial Electronics, 1999, 46(1): 162-168. [22] Sugiura K, Hori Y.Vibration suppression in 2-and 3-mass system based on the feedback of imperfect derivative of the estimated torsional torque[J]. IEEE Transactions on Industrial Electronics, 1996, 43(1): 56-64. [23] Yang Ming, Zheng Weilong, Yang Kaixuan, et al.Suppression of mechanical resonance using torque disturbance observer for two-inertia system with backlash[C]//2015 9th International Conference on Power Electronics and ECCE Asia, Seoul, South Korea, 2015: 1860-1866. [24] 杨明, 王璨, 徐殿国. 基于轴矩限幅控制的机械谐振抑制技术[J]. 电机与控制学报, 2015, 19(4): 58-64. Yang Ming, Wang Can, Xu Dianguo.Mechanical resonance suppression strategy based on shaft torque amplitude limiting control[J]. The Electric Machines and Control, 2015, 19(4): 58-64. [25] Erenturk K.Nonlinear two-mass system control with sliding-mode and optimised proportional-integral derivative controller combined with a grey estimator[J]. IET Control Theory & Applications, 2008, 2(7): 635-642. [26] 郝正航, 余贻鑫. 双馈风电机组机电耦合与轴系稳定的分析与辨识[J]. 电工技术学报, 2011, 26(3): 134-139. Hao Zhenghang, Yu Yixin.Analysis and identification for electromechanical coupling and shaft stability of doubly- fed induction generator[J]. Transactions of China Electrotechnical Society, 2011, 26(3): 134-139. [27] 姚兴佳, 王晓东, 单光坤, 等. 双馈风电机组传动系统扭振抑制自抗扰控制[J]. 电工技术学报, 2012, 27(1): 136-141. Yao Xingjia, Wang Xiaodong, Shan Guangkun, et al.Doubly-fed wind turbines transmission system torsional vibration immunity disturbance rejection control[J]. Transactions of China Electrotechnical Society, 2012, 27(1): 136-141. [28] 赵寿华, 毛永乐, 许翠翠, 等. 基于自适应观测器和线性二次型调节器的高性能伺服系统谐振抑制[J]. 电工技术学报, 2016, 31(6): 108-117. Zhao Shouhua, Mao Yongle, Xu Cuicui, et al.Torsional vibration suppression based on adaptive observer and linear quadratic regulator in high performance servo drives[J]. Transactions of China Electrotechnical Society, 2016, 31(6): 108-117.