Abstract:A five-phase 20-slot 22-pole fractional-slot concentrated winding multiphase surface-mounted permanent magnet machine is exemplified to study the influence of the injected harmonic currents.The optimal harmonic current component is analytically derived to achieve the maximum average torque while the effective values of the phase currents are kept unchanged.The analytical current is verified by finite element analysis.Further,comparisons of electromagnetic torque,magneto-motive force,air-gap flux density,eddy current loss,and radial force density between the machines with and without harmonic current injection are respectively carried out.The results show that new space harmonics including the ones with lower orders appear due to the injected harmonic current,which leads to the increases of the eddy current loss and the lowest order radial force.The results demonstrate the key points and guidance for the multiphase permanent magnet machine design.
康惠林, 周理兵, 王晋, 彭溪. 多相分数槽集中绕组表贴式永磁电机谐波电流的确定及其影响[J]. 电工技术学报, 2015, 30(9): 22-29.
Kang Huilin, Zhou Libing, Wang Jin, Peng Xi. Harmonic Currents Determination and Their Impacts on Multiphase Fractional-slot Concentrated Winding Surface-mounted Permanent Magnet Machine. Transactions of China Electrotechnical Society, 2015, 30(9): 22-29.
[1] Levi E.Multiphase electric machines for variable-speed applications[J].IEEE Transactions on Industry Electronics,2008,55(55):1893-1909. [2] 王东,马伟明,郭云珺,等.基于非正弦供电方式的多相感应电动机建模[J].电工技术学报,2010,25(2):6-14. Wang Dong,Ma Weiming,Guo Yunjun,et al.Modeling of multiphase induction motor with non-sinusoidal supply[J].Transactions of China Electrotechnical Society,2010,25(2):6-14. [3] EL-Refaie A M.Fractional-slot concentrated windings synchronous permanent magnet machines:opportunities and challenges[J].IEEE Transaction on Industry Applications,2010,57(1):107-121. [4] 郭思源,周理兵,齐歌.双三相永磁同步电机电磁性能解析计算[J].电工技术学报,2014,29(5):17-28. Guo Siyuan,Zhou Libing,Qi Ge.Analytical calculation of electromagnetic performance in dual three-phase permanent magnet brushless AC machines[J].Transactions of China Electrotechnical Society,2014,29(5):17-28. [5] 唐骏,王铁成,崔淑梅.五相逆变系统的SVPWM实现方法[J].电工技术学报,2013,28(7):64-72. Tang Jun,Wang Tiecheng,Cui Shumei.Implementation method of SVPWM for five-phase inverters[J].Transactions of China Electrotechnical Society,2013,28(7):64-72. [6] Bianchi N,Dai Pré M,Alberti L,et al.Theory and design of fractional-slot PM machines[M].Padova,Italy:CLEUP,2007. [7] Valavi M,Nysveen A,Nilssen R,et al.Influence of pole and slot combinations on magnetic forces and vibration in low-speed PM wind generators[J].IEEE Transactions on Magnetics,2014,50(5):1-11. [8] 方程,许海平,薛劭申,等.直驱型多相永磁同步电机转矩脉动及损耗特性[J].电工技术学报,2014,29(5):149-159. Fang Cheng,Xu Haiping,Xue Shaoshen,et al.Torque ripple and loss of direct-drive multi-phase permanent magnet synchronous machines[J].Transactions of China Electrotechnical Society,2014,29(5):149-159. [9] 方程,许海平,薛劭申,等.直驱型多相永磁同步电机定子磁动势与气隙磁密特性分析[J].中国电机工程学报,2013,33(24):106-113. Fang Cheng,Xu Haiping,Xue Shaoshen,et al.Analysis of stator MMF and air gap flux density characteristics of direct-drive multi-phase permanent magnet synchronous machines[J].Proceedings of the CSEE,2013,33(24):106-113. [10]赵品志,杨贵杰,李勇.三次谐波注入式五相永磁同步电机转矩密度优化[J].中国电机工程学报,2010,30(33):71-77. Zhao Pinzhi,Yang Guijie,Li Yong.Torque density optimization for five-phase PMSM with third harmonic injection[J].Proceedings of the CSEE,2010,30(33):71-77. [11]Leila P,Hamid A T.Five-phase permanent-magnet motor drives[J].IEEE Transactions on Industry Applications,2005,41(1):30-37. [12]Wang Jin,Zhou Libing,Qu Ronghai.Harmonic current effect on torque density of a multiphase permanent magnet machine[C].2011 International Conference on Electrical Machines Systems (ICEMS),Beijing,2011,1-6. [13]Semail E,Kestelyn X,Bouscayrol A.Right harmonic spectrum for the back-electromotive force of a n-phase synchronous motor[C].IEEE Industrial Application Society Annual Meeting,Seattle,USA,2004,1-8. [14]Abdel-Khalik A,Masoud M,Williams B.Improved flux pattern with third harmonic injection for multiphase induction machines[J].IEEE Transactions on Power Electronics,2012,27(3):1563-1578. [15]Kestelyn X,Semail E.A vectorial approach for generation of optimal current references for multiphase permanent-magnet synchronous machines in real time[J].IEEE Transactions on Industrial Electronics,2011,58(11):5057-5065. [16]Shen Y,Liu G,Xia Z P,et al.Determination of maximum electromagnetic torque in PM brushless machines having two-segment halbach array[J].IEEE Transactions on Industrial Electronics,2014,61(2):718-729. [17]Scuiller F.Magnet shape optimization to reduce pulsating torque for a five-phase permanent-magnet low-speed machine[J].IEEE Transactions on Magnetics,2014,50(4):1-9. [18]Wang K,Zhu Z Q,Ombach G.Torque enhancement of surface-mounted permanent magnet machine using 3rd order harmonic[J].IEEE Transactions on Magnetics,2014,50(3):104-113. [19]Wang K,Zhu Z Q,Ombach G.Torque improvement of five-phase surface-mounted permanent magnet machine using 3rd order harmonic[J].IEEE Transactions on Energy Conversion,2014,29(3):735-747. [20]Toliyat H,Xu L,Lipo T A.A five-phase reluctance motor with high specific torque[J].IEEE Transactions on Industry Applications,1992,28(3):659-667. [21]Fornasiero E,Bianchi N,Bolognani S.Slot harmonic impact on rotor losses in fractional-slot permanent-magnet machines[J].IEEE Transactions on Industrial Electronics,2012,59(2):2257-2564. [22]Bianchi N,Fornasiero E.Impact of MMF space harmonic on rotor losses in fractional-slot permanent-magnet machines[J].IEEE Transactions on Energy Conversion,2009,24(2):323-328. [23]Jacek F G,Chong W,Joseph C L.Noise of polyphase electric motors[M].Boca Raton:CRC Press,2006. [24]Zhu Z Q,Xia Z P,Wu L J,et al.Analytical modeling and finite-element computation of radial vibration force in fractional-slot permanent-magnet brushless machines[J].IEEE Transactions on Industry Applications,2010,46(5):1908-1918. [25]Chen Yiguang,Du Zhiming,Zhong Weigang,et al.Modular stator structure permanent magnet synchronous machine[C].World Automation Congress,Hawaii,HI,2008:1-5.