Abstract:In this paper,a filed dynamic balancing method based on an extended state observer for magnetic bearing supporting rigid rotor is proposed.According to the equation of motion of the rotor supported by magnetic bearings,the extended state observer is designed.The dynamic disturbance of the system can be estimated by the input and output information of the target system.And the convergence conditions of the observer in discrete state are given.In order to remove the influence of multiple frequency disturbance and noise signals on the estimation results,a switched capacitor filter is designed to extract the synchronous component in the disturbance.For the errors existing in the system,the coefficient matrix iterative optimization method is used to improve the dynamic balance accuracy.In the actual use,this method can calculate the matrix of the optimization coefficient only through once trial weighting.And after balancing twice,the unbalanced mass of the rotor is significantly reduced.When the unit is in long-term operation,this method can be deployed in the microprocessor to monitor the rotor unbalance,which plays the role of early warning and guidance of the dynamic balancing.
黄威, 邓智泉, 李克翔, 彭聪. 一种磁悬浮轴承支承刚性转子现场动平衡方法[J]. 电工技术学报, 2020, 35(22): 4636-4646.
Huang Wei, Deng Zhiquan, Li Kexiang, Peng Cong. A Filed Dynamic Balancing Method for Rigid Rotor Supported by Magnetic Bearings. Transactions of China Electrotechnical Society, 2020, 35(22): 4636-4646.
[1] 张维煜,朱熀秋,袁野.磁悬浮轴承应用发展及关键技术综述[J].电工技术学报,2015,30(12):12-20. Zhang Weiyu,Zhu Huangqiu,Yuan Ye.Study on key technologies and applications of magnetic bearings[J].Transactions of China Electrotechnical Society,2015,30(12):12-20. [2] 陈亮亮,祝长生,王忠博.基于逆系统解耦的电磁轴承飞轮转子系统二自由度控制[J].电工技术学报,2017,32(23):100-114. Chen Liangliang,Zhu Changsheng,Wang Zhongbo.Two-degree-of-freedom control for active magnetic bearing flywheel rotor system based on inverse system decoupling[J].Transactions of China Electro- technical Society,2017,32(23):100-114. [3] 赵旭升,邓智泉,王晓琳,等.永磁偏置磁轴承的研究现状及其发展[J].电工技术学报,2009,24(9):9-20. Zhao Xusheng,Deng Zhiquan,Wang Xiaolin,et al.Research status and development of permanent magnet biased magnetic bearings[J].Transactions of China Electrotechnical Society,2009,24(9):9-20. [4] Addabbo T,Fort A,Biondi R,et al.Measurement of angular vibrations in rotating shafts:effects of the measurement setup nonidealities[J].IEEE Transa- ctions on Instrumentation and Measurement,2013,62(3):532-543. [5] 张凤阁,杜光辉,王天煜,等.高速电机发展与设计综述[J].电工技术学报,2016,31(7):1-18. Zhang Fengge,Du Guanghui,Wang Tianyu,et al.Review on development and design of high speed machines[J].Transactions of China Electrotechnical Society,2016,31(7):1-18. [6] Herzog R,Buhler P,Gahler C,et al.Unbalance compensation using generalized notch filters in the multivariable feedback of magnetic bearings[J].IEEE Transactions on Control Systems Technology,1996,4(5):580-586. [7] Cui Peiling,Sheng Li,Wang Qirui,et al.Harmonic current suppression of AMB rotor system at variable rotation speed based on multiple phase-shift notch filters[J].IEEE Transactions on Industrial Electronics,2016,63(11):6962-6969. [8] Zheng Shiqiang,Han Bangcheng,Rui Feng,et al.Vibration suppression control for AMB supported motor driveline system using synchronous rotating frame transformation[J].IEEE Transactions on Industrial Electronics,2015,62(9):5700-5708. [9] 徐宾刚,屈梁生,孙瑞祥.基于影响系数法的柔性转子无试重平衡法研究[J].西安交通大学学报,2000,34(7):63-67. Xu Bingang,Qu Liangsheng,Sun Ruixiang.Balancing of flexible rotors without test weights[J].Journal of Xi’an Jiaotong University,2000,34(7):63-67. [10] Liu Zhengshi,Lu Yiming,Wang Yu,et al.Relative coefficient method for rotor balancing and its performing with dynamic signal analyzer[J].Key Engineering Materials,2004,259-260:751-755. [11] Foiles W C,Allaire P E,Gunter E J.Review:rotor balancing[J].Shock and Vibration,1998,5(5-6):325-336. [12] Fang Jiancheng,Wang Yingguang,Han Bangcheng,et al.Field balancing of magnetically levitated rotors without trial weights[J].Sensors,2013,13(12):16000-16022. [13] Xu Xiangbo,Chen Shao.Field balancing and harmonic vibration suppression in rigid AMB-rotor systems with rotor imbalances and sensor runout[J].Sensors,2015,15(9):21876-21897. [14] 韩辅君,房建成.磁悬浮飞轮转子系统的现场动平衡方法[J].航空学报,2010,31(1):184-190. Han Fujun,Fang Jiancheng.Field balancing method for rotor system of a magnetic suspending fly- wheel[J].Acta Aeronautica Et Astronautica Sinica,2010,31(1):184-190. [15] 韩京清.一类不确定对象的扩张状态观测器[J].控制与决策,1995,10(1):85-88. Han Jingqing.The “extended state observer”of a class of uncertain systems[J].Control and Decision,1995,10(1):85-88. [16] 林飞,张春朋,宋文超,等.基于扩张状态观测器的感应电机转子磁链观测[J].中国电机工程学报,2003,23(4):145-147. Lin Fei,Zhang Chunpeng,Song Wenchao,et al.Flux observer of induction motor based on extended state observer[J].Proceeding of the CSEE,2003,23(4):145-147. [17] 毛海杰,李炜,蒋栋年,等.基于线性扩张状态观测器的永磁同步电机状态估计与性能分析[J].电工技术学报,2019,34(10):2155-2165. Mao Haijie,Li Wei,Jiang Dongnian,et al.State estimation and performance analysis based on linear extended state observer for permanent magnet synchronous motor[J].Transactions of China Electro- technical Society,2019,34(10):2155-2165. [18] Schweitzer G,Maslen E H.Magnetic bearings:theory,design,and application to rotating machinery[M].Berlin:Springer,2009. [19] Gao Zhiqiang.Active disturbance rejection control:a paradigm shift in feedback control system design[C]//IEEE American Control Conference,Minneapolis,MN,USA,2006:2399-2405.