Abstract:The paper presents an analytical solution for computation the no-load magnetic field in surface-mounted permanent-magnet machines with anti-rotation dual rotors. The model is based on 2 dimensional polar coordinates and accounts for the influence of radial/parallel magnetization, internal/external rotor topologies. In order to accurately calculate the magnetic field and cogging torque, unlike previous introduced a relative permeance function or complex conformal transformation, the boundary conditions are used to consider the stator slotting effect. The scalar potential is governed by Laplace equation in the airgap and the slots on the stator, and by Poisson equation in the permanent magnet regions with constant relative recoil permeability of the magnets. The radial and tangential flux densities are obtained by using the Fourier’s series and separation of variables. The magnetic field change of notch region is acquired by rotor rotation, while the cogging torque and EMF of dual-rotors machine are estimated. The analytical results are in very good agreement with those obtained by the FEA, and confirm the accuracy of the analytical method.
张凤阁, 陈进华, 刘光伟, 张武. 面贴式异向旋转双转子永磁电机的磁场解析计算[J]. 电工技术学报, 2011, 26(12): 28-36.
Zhang Fengge, Chen Jinhua, Liu Guangwei, Zhang Wu. Analytical Solution of Magnetic Field for Surface-Mounted Permanent Magnet Machines with Anti-Rotation Dual Rotors. Transactions of China Electrotechnical Society, 2011, 26(12): 28-36.
[1] 徐衍亮, 王法庆, 冯开杰, 等. 双转子永磁电机电感参数、永磁电势及齿槽转矩[J]. 电工技术学报, 2007, 22(7): 40-44. [2] Ghada Ben Hamadou, Asma Masmoudi. Design of a single-stator dual-rotor permanent-magnet machine[J]. IEEE Transactions on Magnetics, 2009, 45(1): 127-132. [3] Chen Jinhua, Zhang Fengge, Feng Guihong, et al. Design and analysis of a novel PMSM with anti-rotation dual rotor[C]. Proceedings of IECON, 2009: 1074-1079. [4] 张凤阁, 刘光伟, 陈进华.异向旋转双机械口永磁电机磁路建模与场分析[J]. 电机与控制学报, 2009, 13(6): 804-810. [5] Boules N. Prediction of no-load flux density distribution in permanent magnet machines[J]. IEEE Transactions on Industry Applications, 1985, 21(3): 633-643. [6] Zhu Z Q, Howe D, Bolte E, et al. Instantaneous magnetic field distribution in brushless permanent magnet DC motors, part I: open-circuit field [J]. IEEE Transactions on Magnetics, 1993, 29(1): 124-135. [7] Zhu Z Q, Howe D, Chan C C. Improved analytical model for predicting the magnetic field distribution in brushless permanent magnet machines[J]. IEEE Transactions on Magnetics, 2002, 38(1): 229-238. [8] Zhu Z Q, Howe D. Instantaneous magnetic field distribution in brushless permanent magnet DC motors, part III: effect of stator slotting[J]. IEEE Transactions on Magnetics, 1993, 29(1): 143-151. [9] Zarko D, Ban D, Lipo T A. Analytical calculation of magnetic field distribution in the slotted air gap of a surface permanent-magnet motor using complex relative air-gap permeance[J]. IEEE Transactions on Magnetics, 2006, 42(7): 1828-1837. [10] Zarko D, Ban D, Lipo T A. Analytical solution for cogging torque in surface permanent-magnet motors using conformal mapping[J]. IEEE Transactions on Magnetics, 2008, 44(1): 52-65. [11] Boughrara K, Zarko D, Ibtiouen R, et al. Magnetic field analysis of inset and surface-mounted permanent-magnet synchronous motors using Schwarz-Christoffel transformation[J]. IEEE Transactions on Magnetics, 2009 45(8): 3166-3178. [12] Liu Z J, Li J T. Analytical solution of air-gap field in permanent magnet motors taking into account the effect of pole transition over slots[J]. IEEE Transactions on Magnetics, 2007, 43(10): 3872-3883. [13] Liu Z J, Li J T. Accurate prediction of magnetic field and magnetic forces in permanent magnet motors using an analytical solution[J]. IEEE Transactions on Energy Conversion, 2008, 23(3): 717-726. [14] Dubas F, Espanet C. Analytical solution of the magnetic field in permanent-magnet motors taking into account slotting effect: no-load vector potential and flux density calculation[J]. IEEE Transactions on Magnetics, 2009, 45(5): 2097-2109. [15] Zhu Z Q, Wu L J, Xia Z P. An accurate sub-domain model for magnetic field computation in slotted surface-mounted permanent-magnet machines[J]. IEEE Transactions on Magnetics, 2010, 46(4): 1100-1115. [16] 章跃进, 薛波, 丁晔, 等. 表面式永磁无刷电机电枢反应磁场半解析法[J]. 电工技术学报, 2009, 24(1) :47-51. [17] Yang Y, Wang X, Zhang R, et al. The optimization of pole arc coefficient to reduce cogging torque in surface-mounted permanent magnet motors[J]. IEEE Transactions on Magnetics, 2006, 42(4): 1135-1138. [18] 杨玉波, 王秀和, 张鑫, 等. 磁极偏移削弱永磁电机齿槽转矩方法[J]. 电工技术学报, 2006, 21(10): 22-25. [19] Zhu L, Jiang S Z, Zhu Z Q. Analytical methods for minimizing cogging torque in permanent-magnet machines[J]. IEEE Transactions on Magnetics, 2009, 45(4): 2023-2031. [20] 朱莉, 姜淑忠, 诸自强, 等. 表面式永磁电机齿槽转矩解析模型比较[J]. 微电机, 2010, 43(1) : 10-15.