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- 2018
车用永磁轮毂电机解析建模与齿槽转矩削弱
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Abstract:
为了提高永磁电机设计和优化的效率,避免有限元软件建模、计算耗时长的缺点,建立了定子齿上开有辅助槽的表贴式永磁电机的解析模型。在二维极坐标下以矢量磁位为位函数,在各个子域建立拉普拉斯方程或泊松方程,根据分离变量法求解各子域矢量磁位的表达式,并利用各子域的边界条件求得相关的谐波系数,推导了该永磁电机模型空载下的气隙磁通密度、齿槽转矩、磁链和反电动势公式。然后,计算了一台车用轮毂外转子32极48槽永磁电机在空载下的气隙磁通密度、齿槽转矩、磁链和反电动势,并通过有限元法和齿槽转矩实验验证了解析模型的有效性和精确性。此外,基于解析模型优化了该轮毂电机的齿槽转矩,将齿槽转矩削弱了37.2%。
To improve the efficiency of design and optimization of permanent magnet motors and avoid lengthy finite element modeling and computing time, an analytical model of surface??mounted permanent magnet motor with auxiliary slots is built. The Laplace equations or Poisson equations are established in each subdomain with the vector magnetic bit as a function in the two??dimensional polar coordinates, and the vector magnetic bit expression of each subdomain is solved according to the separation variable method. The relevant harmonic coefficients are obtained using the boundary conditions of each subdomain. The air gap flux density, cogging torque, flux linkage and back??electromotive force(EMF) of the model are deduced under no??load condition, then the air gap flux density, cogging torque, flux linkage and EMF of a 32??pole??48??slot external rotor in??wheel permanent magnet motor used for electric vehicles are calculated under no??load condition. The accuracy and validity of the analytical model are verified by finite element method and cogging torque experiment. In addition, the cogging torque of the in??wheel motor is optimized on the basis of this analytical model, and is consequently reduced by 37.2%
[1] | [1]CHENG M, SUN L, BUJA G, et al. Advanced electrical machines and machine??based systems for electric and hybrid vehicles [J]. Energies, 2015, 8(9): 9541??9564. |
[2] | [2]SCHMIDT S, KROCKER K, LUNIG M, et al. An analysis of the cogging torque of a DC motor and a new technique of reducing the cogging torque [J]. Electrical Engineering in Japan, 1983, 103(5): 113??120. |
[3] | [4]郭思源, 周理兵. 表面埋入式永磁电机磁场解析 [J]. 中国电机工程学报, 2015, 35(3): 710??718. |
[4] | [12]ZHU Z Q, HOWE D, BOLTE E, et al. Instantaneous magnetic field distribution in brushless permanent magnet DC motors: IOpen??circuit field [J]. IEEE Transactions on Magnetics, 1993, 29(1): 124??135. |
[5] | [13]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. |
[6] | [14]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. |
[7] | [15]WU L J, ZHU Z Q, STATON D, et al. An improved subdomain model for predicting magnetic field of surface??mounted permanent magnet machines accounting for tooth??tips [J]. IEEE Transactions on Magnetics, 2011, 47(6): 1693??1704. |
[8] | GUO Siyuan, ZHOU Libing. Analytical solution of magnetic field in surface??inset permanent magnet machines [J]. Proceedings of the CSEE, 2015, 35(3): 710??718. |
[9] | [6]王晓远, 贾旭. 基于槽口优化的电动汽车用大功率无刷直流电机齿槽转矩削弱方法 [J]. 电工技术学报, 2013, 28(6): 40??45. |
[10] | WANG Xiaoyuan, JIA Xu. Optimization for the slot opening to reduce cogging torque in high??power BLDC in electric vehicles [J]. Transactions of China Electrotechnical Society, 2013, 28(6): 40??45. |
[11] | [3]KOBAYASHI K, GOTO M. A brushless DC motor of a new structure with reduced torque fluctuation [J]. Electrical Engineering in Japan, 1985, 105(3): 104??112. |
[12] | [7]郝立, 林明耀, 徐妲, 等. 轴向磁场磁通切换型永磁电机齿槽转矩抑制 [J]. 电工技术学报, 2015, 30(2): 21??26. |
[13] | CHEN Zhenfei, XIA Changliang, WANG Huimin. Modeling for open circuit magnetic field prediction in slotted surface??mounted permanent??magnet machine [J]. Transactions of China Electrotechnical Society, 2014, 29(5): 9??16. |
[14] | [10]周羽, 李槐树, 周石, 等. 考虑开槽时永磁无刷直流电机气隙磁场的解析计算 [J]. 中国电机工程学报, 2014, 34(S1): 182??188. |
[15] | ZHOU Yu, LI Huaishu, ZHOU Shi, et al. Analytical method for calculating air??gap magnetic field of brushless DC motor accounting for slots [J]. Proceedings of the CSEE, 2014, 34(S1): 182??188. |
[16] | [11]ZHU Z Q, HOWE D. Instantaneous magnetic field distribution in brushless permanent magnet DC motors: IIIEffect of stator slotting [J]. IEEE Transactions on Magnetics, 1993, 29(1): 143??151. |
[17] | [5]李琛, 章跃进, 井立兵. Halbach阵列半闭口槽永磁电机全局解析法研究 [J]. 中国电机工程学报, 2013, 33(33): 85??94. |
[18] | LI Chen, ZHANG Yuejin, JING Libing. Researches on an exact analytical method of Halbach??array permanent??magnet motors with semi??closed slots [J]. Proceedings of the CSEE, 2013, 33(33): 85??94. |
[19] | HAO Li, LIN Mingyao, XU Da, et al. Cogging torque reduction in axial field flux??switching permanent magnet machines [J]. Transactions of China Electrotechnical Society, 2015, 30(2): 21??26. |
[20] | [8]黄克峰, 李槐树, 周羽. 利用辅助槽削弱齿槽力的方法研究 [J]. 电机与控制学报, 2014, 18(3): 54??59. |
[21] | HUANG Kefeng, LI Huaishu, ZHOU Yu. Method research for reducing the cogging force by auxiliary slots [J]. Electric Machines and Control, 2014, 18(3): 54??59. |
[22] | [9]陈浈斐, 夏长亮, 王慧敏. 考虑齿槽效应的表贴式永磁电机空载磁场建模 [J]. 电工技术学报, 2014, 29(5): 9??16. |