磁浮平面电机Halbach磁钢阵列中梯形磁钢的应用
|
摘要
针对磁浮平面电机Halbach磁钢阵列,分析改变磁钢形状对空隙磁感应强度的影响,即用梯形磁钢替换矩形磁钢。通过傅里叶级数和磁标势推导Halbach矩形磁钢阵列的磁感应强度。应用叠加原理和磁钢划分多层得到梯形磁钢阵列的磁感应强度解析表达式,与有限元模型相比具有很好的一致性。分析Halbach矩形磁钢阵列的高阶谐波误差和各个谐波峰值随着y向磁化磁钢边长与极距比值的关系,得到最优的结构参数。在此参数下分析梯形磁钢阵列,得到梯形磁钢可以较大范围的改变空隙磁感应强度。
The changing of magnets shape in Halbach permanent magnet array of planar motor was analyzed in the magnetic flux density.That is, the rectangular magnets were replaced by trapezoidal magnets. The magnetic flux density distribution of the Halbach array with rectangular magnets was derived by Fourier series and scalar potential. The magnetic flux density distribution of trapezoidal magnets array was obtained through superposition and dividing magnet in several layers, then has good agreement with the finite element model. The higher harmonics error and peak value of each harmonics of Halbach array with rectangular magnets varying with the ratio between the length of magnet magnetized in y direction and pole pitch were analyzed, then the optimal structure parameter was found. With this structure parameter, the magnetic flux density distribution can be varied in a large range by using the trapezoidal magnets.
The changing of magnets shape in Halbach permanent magnet array of planar motor was analyzed in the magnetic flux density.That is, the rectangular magnets were replaced by trapezoidal magnets. The magnetic flux density distribution of the Halbach array with rectangular magnets was derived by Fourier series and scalar potential. The magnetic flux density distribution of trapezoidal magnets array was obtained through superposition and dividing magnet in several layers, then has good agreement with the finite element model. The higher harmonics error and peak value of each harmonics of Halbach array with rectangular magnets varying with the ratio between the length of magnet magnetized in y direction and pole pitch were analyzed, then the optimal structure parameter was found. With this structure parameter, the magnetic flux density distribution can be varied in a large range by using the trapezoidal magnets.
引文
[1] Won-jong Kim, David L. Trumper. High-precision mag-netic levitation stage for photolithography[J]. PrecisionEngineering,1998(22):66-77.
[2]寇宝泉,张鲁,邢丰,等.高性能永磁同步平面电机及其关键技术发展综述[J].中国电机工程学报,2013,33(9):79-87.
[3]黄学良,张前,周赣.一种无铁Halbach型永磁直线电机[J].电工技术学报,2010,25(6):1-6.
[4]周赣,黄学良,蒋浩,等. Halbach型磁浮平面电动机电流控制方法[J].电工技术学报,2010,25(5):69-75.
[5] Trumper D L, Williams M E, Nguyen T H. Magnet ar-rays for synchronous machines[C]. Industry Applica-tions Society Annual Meeting, Conference Record of the1993 IEEE. IEEE, 1993:9-18.
[6] Klaus Halbach. Design of Permanent Multipole Magnetswith Oriented Rare Earth Cobalt Materials[J]. NuclearInstruments and Methods, 1980, 169(1):1-10.
[7] Zhang Yuqiu, Yang Zilong, Yu Minghu, et al. Analysis and Design of Double-Sided Air Core Linear ServoMotor With Trapezoidal Permanent Magnets[J]. IEEETransactions on Magnetics, 2011, 47(10):3236-3239.
[8] Lee Moon G, Gweon Dae-Gab. Optimal design of a dou-ble-sided linear motor with a multi-segmented trapezoi-dal magnet array for a high precision positioning system[J]. Journal of magnetism and magnetic materials,2004, 281(2):336-346.
[9] Koen J. Meessen, Bart L. J. Gysen, Johannes J. H. Pau-lides, et al. Halbach Permanent Magnet Shape Selectionfor Slotless Tubular Actuators[J]. IEEE Transactionson Magnetics,2008,44(11):4305-4308.
[10] Li Huang,Xueliang Huang,Hao Jiang,et al. Compar-ative Study of Magnetic Fields Due to Types of PlanarPermanent Magnet Array[C]. 2010 International Con-ference on Electrical and Control Engineering, 2010:3470-3473.
[11]张鲁,寇宝泉,赵斌超,等.新型Halbach次级结构永磁同步直线电机[J].电工技术学报, 2013,28(7):39-45.
[2]寇宝泉,张鲁,邢丰,等.高性能永磁同步平面电机及其关键技术发展综述[J].中国电机工程学报,2013,33(9):79-87.
[3]黄学良,张前,周赣.一种无铁Halbach型永磁直线电机[J].电工技术学报,2010,25(6):1-6.
[4]周赣,黄学良,蒋浩,等. Halbach型磁浮平面电动机电流控制方法[J].电工技术学报,2010,25(5):69-75.
[5] Trumper D L, Williams M E, Nguyen T H. Magnet ar-rays for synchronous machines[C]. Industry Applica-tions Society Annual Meeting, Conference Record of the1993 IEEE. IEEE, 1993:9-18.
[6] Klaus Halbach. Design of Permanent Multipole Magnetswith Oriented Rare Earth Cobalt Materials[J]. NuclearInstruments and Methods, 1980, 169(1):1-10.
[7] Zhang Yuqiu, Yang Zilong, Yu Minghu, et al. Analysis and Design of Double-Sided Air Core Linear ServoMotor With Trapezoidal Permanent Magnets[J]. IEEETransactions on Magnetics, 2011, 47(10):3236-3239.
[8] Lee Moon G, Gweon Dae-Gab. Optimal design of a dou-ble-sided linear motor with a multi-segmented trapezoi-dal magnet array for a high precision positioning system[J]. Journal of magnetism and magnetic materials,2004, 281(2):336-346.
[9] Koen J. Meessen, Bart L. J. Gysen, Johannes J. H. Pau-lides, et al. Halbach Permanent Magnet Shape Selectionfor Slotless Tubular Actuators[J]. IEEE Transactionson Magnetics,2008,44(11):4305-4308.
[10] Li Huang,Xueliang Huang,Hao Jiang,et al. Compar-ative Study of Magnetic Fields Due to Types of PlanarPermanent Magnet Array[C]. 2010 International Con-ference on Electrical and Control Engineering, 2010:3470-3473.
[11]张鲁,寇宝泉,赵斌超,等.新型Halbach次级结构永磁同步直线电机[J].电工技术学报, 2013,28(7):39-45.