交流径向-轴向六极混合磁轴承结构及其悬浮力特性分析
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摘要
为降低三极混合磁轴承径向悬浮力的非线性并进一步降低磁轴承的功耗和成本,提出一种交流径向–轴向六极混合磁轴承。首先介绍交流径向?轴向六极混合磁轴承的结构和工作原理,推导其径向、轴向悬浮力的数学模型;其次,根据数学模型重点分析径向悬浮力线性度及耦合特性,利用有限元分析软件分别对其径向、轴向悬浮力进行仿真分析验证,并与三极混合磁轴承作相关参数对比。最后构建实验平台进行悬浮和扰动测试。研究结果表明:交流径向?轴向六极混合磁轴承径向悬浮力模型可等效为线性模型;轴向位移产生的磁阻力能将转子稳定悬浮于轴向平衡位置。
In order to reduce the nonlinearity of radial suspension forces of the three-pole hybrid magnetic bearing and further reduce the cost and power consumption, an AC radial-axial six-pole hybrid magnetic bearing was proposed.Firstly, the structure and working principle of the AC radial-axial six-pole hybrid magnetic bearing were introduced,and the mathematical models of radial and axial suspension forces were derived. Secondly, on the basis of the mathematical model, the linearity and coupling characteristics of the radial suspension forces were analyzed, and then the radial and axial suspension forces were simulated and verified by the finite element method(FEM). Next, the correlation performance indexes were compared with the three-pole hybrid magnetic bearing. Finally, an experimental platform was built, and suspension and disturbance tests were carried out. The research results show that the radial suspension force model of the AC radial-axial six-pole hybrid magnetic bearing can be regarded as a linear system, and the magnetic resistance force produced by axial displacement is enough to stabilize the rotor in the axial equilibrium position.
In order to reduce the nonlinearity of radial suspension forces of the three-pole hybrid magnetic bearing and further reduce the cost and power consumption, an AC radial-axial six-pole hybrid magnetic bearing was proposed.Firstly, the structure and working principle of the AC radial-axial six-pole hybrid magnetic bearing were introduced,and the mathematical models of radial and axial suspension forces were derived. Secondly, on the basis of the mathematical model, the linearity and coupling characteristics of the radial suspension forces were analyzed, and then the radial and axial suspension forces were simulated and verified by the finite element method(FEM). Next, the correlation performance indexes were compared with the three-pole hybrid magnetic bearing. Finally, an experimental platform was built, and suspension and disturbance tests were carried out. The research results show that the radial suspension force model of the AC radial-axial six-pole hybrid magnetic bearing can be regarded as a linear system, and the magnetic resistance force produced by axial displacement is enough to stabilize the rotor in the axial equilibrium position.
引文
[1]朱熀秋,沈玉祥,邬清海,等.交流混合磁轴承建模与控制系统[J].中国电机工程学报,2009,29(18):100-105.Zhu Huangqiu,Shen Yuxiang,Wu Qinghai,et al.Modeling and control system for AC hybrid magnetic bearing[J].Proceedings of the CSEE,2009,29(18):100-105(in Chinese).
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[4]Ji Li,Xu Longxiang,Jin Chaowu.Research on a low power consumption six-pole heteropolar hybrid magnetic bearing[J].IEEE Transactions on Magnetics,2013,49(8):4918-4926.
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[6]Le Yun,Wang Kun.Design and optimization method of magnetic bearing for high-speed motor considering eddy current effects[J].IEEE/ASME Transactions on Mechatronics,2016,21(4):2061-2072.
[7]Han Bangcheng,Xu Qinjie,Zheng Shiqiang.Integrated radial/thrust magnetic bearing without thrust disk for a high-speed driving system[J].IET Electric Power Applications,2016,10(4):276-283.
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[16]鞠金涛,朱熀秋,张维煜.逆变器驱动对三极径向-轴向混合磁轴承径向承载力的影响[J].中国电机工程学报,2016,36(11):3085-3091.Ju Jintao,Zhu Huangqiu,Zhang Weiyu.The effects of inverter-fed on radial carrying capacity of three-pole radial-axial hybrid magnetic bearings[J].Proceedings of the CSEE,2016,36(11):3085-3091(in Chinese).
[17]Gruber W,Rothbock M,Sch?b R.Design of a novel homopolar bearingless slice motor with reluctance rotor[J].IEEE Transactions on Industry Applications,2015,51(2):1456-1464.
[18]朱熀秋,赵玉亮,胡亚民,等.动态扰动下无轴承永磁薄片电机的悬浮力补偿策略[J].振动与冲击,2017,36(23):99-105.Zhu Huangqiu,Zhao Yuliang,Hu Yamin,et al.Compensation strategy of suspension force for a bearingless permanent magnet slice motor under dynamic disturbances[J].Journal of Vibration and Shock,2017,36(23):99-105(in Chinese).
[19]Barletta N.Der lagerlose scheibenmotor[D].Switzerland:ETH Zürich,1998.
[20]Zhu Suming,Zhu Huangqiu.Suspension force control of bearingless permanent magnet slice motor based on flux linkage identification[J].Transactions on ISA,2015,57:322-328.
[21]左文全,吕艳博,付向东,等.无轴承永磁薄片电机径向悬浮力精确数学建模[J].中国电机工程学报,2012,32(3):103-110.Zuo Wenquan,LüYanbo,Fu Xiangdong,et al.Accurate mathematical modeling of radial suspension force on bearingless permanent magnet slice motors[J].Proceedings of the CSEE,2012,32(3):103-110(in Chinese).
[2]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(in Chinese).
[3]Han Bangcheng,Zheng Shiqiang,Le Yun,et al.Modeling and analysis of coupling performance between passive magnetic bearing and hybrid magnetic radial bearing for magnetically suspended flywheel[J].IEEE Transactions on Magnetics,2013,49(10):5356-5370.
[4]Ji Li,Xu Longxiang,Jin Chaowu.Research on a low power consumption six-pole heteropolar hybrid magnetic bearing[J].IEEE Transactions on Magnetics,2013,49(8):4918-4926.
[5]Schmidt E,Hofer M.Parameter evaluation of a hybrid magnetic bearing by using 3D finite element analyses[C]//Proceedings of 2008 Australasian Universities Power Engineering Conference.Sydney,Australia:IEEE,2008:1-6.
[6]Le Yun,Wang Kun.Design and optimization method of magnetic bearing for high-speed motor considering eddy current effects[J].IEEE/ASME Transactions on Mechatronics,2016,21(4):2061-2072.
[7]Han Bangcheng,Xu Qinjie,Zheng Shiqiang.Integrated radial/thrust magnetic bearing without thrust disk for a high-speed driving system[J].IET Electric Power Applications,2016,10(4):276-283.
[8]Sch?b R,Redemann C,Gempp T.Radial active magnetic bearing for operation with a 3-phase power converter[C]//Proceedings of the 4th International Symposium on Magnetic Suspension Technology.Gifu,Japan:NASAConference Press,1997:111-124.
[9]Hoffman W.Behaviour and control of an inverter-fed three-pole active radial magnetic bearing[C]//Proceedings of 2003 IEEE International Symposium on Industrial Electronics.Rio de Janeiro,Brazil:IEEE,2003:974-979.
[10]Yang H,Zhao R X,Tang Q B.Study on inverter-fed three-pole active magnetic bearing[C]//Proceedings of the21st Annual IEEE Applied Power Electronics Conference and Exposition.Dallas,USA:IEEE,2006:1576-1581.
[11]Gu Hao,Zhu Huangqiu,Hua Yizhou.Soft sensing modeling of magnetic suspension rotor displacements based on continuous hidden markov model[J].IEEETransactions on Applied Superconductivity,2018,28(3):3600105.
[12]Park S H,Lee C W.Decoupled control of a disk-type rotor equipped with a three-pole hybrid magnetic bearing[J].IEEE/ASME Transactions on Mechatronics,2010,15(5):793-804.
[13]朱熀秋,张仲,诸德宏,等.交直流三自由度混合磁轴承结构与有限分析[J].中国电机工程学报,2007,27(12):77-81.Zhu Huangqiu,Zhang Zhong,Zhu Dehong,et al.Structure and finite element analysis of an AC-DCthree degrees of freedom hybrid magnetic bearing[J].Proceedings of the CSEE,2007,27(12):77-81(in Chinese).
[14]Zhang Weiyu,Zhu Huangqiu,Yang Zebin,et al.Nonlinear model analysis and“switching model”of AC-DC threedegree-of-freedom hybrid magnetic bearing[J].IEEE/ASME Transactions on Mechatronics,2016,21(2):1102-1115.
[15]朱熀秋,杨兆成,丁泉.基于模糊控制的三自由度磁轴承支承的飞轮储能系统研究[J].徐州工程学院学报:自然科学版,2017,32(4):7-12.Zhu Huangqiu,Yang Zhaocheng,Ding Quan.Research on flywheel energy storage system supported by threedegree-of-freedom(3-DOF)magnetic bearing based on fuzzy control[J].Journal of Xuzhou Institute of Technology:Natural Sciences Edition,2017,32(4):7-12(in Chinese).
[16]鞠金涛,朱熀秋,张维煜.逆变器驱动对三极径向-轴向混合磁轴承径向承载力的影响[J].中国电机工程学报,2016,36(11):3085-3091.Ju Jintao,Zhu Huangqiu,Zhang Weiyu.The effects of inverter-fed on radial carrying capacity of three-pole radial-axial hybrid magnetic bearings[J].Proceedings of the CSEE,2016,36(11):3085-3091(in Chinese).
[17]Gruber W,Rothbock M,Sch?b R.Design of a novel homopolar bearingless slice motor with reluctance rotor[J].IEEE Transactions on Industry Applications,2015,51(2):1456-1464.
[18]朱熀秋,赵玉亮,胡亚民,等.动态扰动下无轴承永磁薄片电机的悬浮力补偿策略[J].振动与冲击,2017,36(23):99-105.Zhu Huangqiu,Zhao Yuliang,Hu Yamin,et al.Compensation strategy of suspension force for a bearingless permanent magnet slice motor under dynamic disturbances[J].Journal of Vibration and Shock,2017,36(23):99-105(in Chinese).
[19]Barletta N.Der lagerlose scheibenmotor[D].Switzerland:ETH Zürich,1998.
[20]Zhu Suming,Zhu Huangqiu.Suspension force control of bearingless permanent magnet slice motor based on flux linkage identification[J].Transactions on ISA,2015,57:322-328.
[21]左文全,吕艳博,付向东,等.无轴承永磁薄片电机径向悬浮力精确数学建模[J].中国电机工程学报,2012,32(3):103-110.Zuo Wenquan,LüYanbo,Fu Xiangdong,et al.Accurate mathematical modeling of radial suspension force on bearingless permanent magnet slice motors[J].Proceedings of the CSEE,2012,32(3):103-110(in Chinese).