fd α t = F mfdfd cos fd α - fd = ωt Z λ ss cos s [ 1 s = 1 α - α ] 1 α t F mfdfd fd fd ω λ ss s Z α 1 + fd 7-8 sz 1 - fd -

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1 ELECTRI C MACHINES AND CONTROL Vol. 17 No. 1 Jan : 为了在电机设计阶段把握混合励磁永磁同步发电机齿谐波的空载和负载特性, 应用电机理论定性分析了转子齿谐波电动势的产生机理及特点根据其特点, 提出了一种准确计算齿谐波电动势波形的方法应用该方法对一台齿谐波励磁的混合励磁永磁同步发电机的齿谐波电压随励磁电流和电枢电流的变化分别进行了计算, 并对其变化趋势进行了详细的分析分析表明 : 齿谐波特性与电枢特性不同, 其受磁路饱和影响较大计算结果和实验结果的比较验证了计算方法的准确性以及理论分析的正确性 : 混合励磁 ; 永磁电机 ; 同步发电机 ; 齿谐波 ; 特性计算 TM 351 A 7-449X Calculation and analysis of tooth harmonic windings characteristics for hyrid excitation ermanent magnet machine XIA Yong-hongHUANG Shao-gang School of Information EngineeringNanchang UniversityNanchang 3331China Astract For grasing the no-load and on-load characteristics of the tooth harmonic windings of the hyrid excitation ermanent magnet machine in the rocess of the machine design the rincile and feature of the tooth harmonic electromotive force EMF of the rotor are analyzed qualitatively ased on the electric machine theoryand a method to accurately calculate the EMF waveform of the tooth harmonic windings is roosed. The variation of the tooth harmonic windings voltage with field current and armature current was calculated resectively with this methodand its variation was analyzed in detail. The analysis indicated that the tooth harmonic winding characteristics was different from that of the armature winding which was imacted y the magnetic saturation greater. The comarison of calculated and exerimental results verify the accuracy of the calculation method and the correctness of the theoretical analysis. Key words hyrid excitation ermanent magnet machines synchronous generators tooth harmonic characteristics calculation : 国家自然科学基金 ( 5773) : 夏永洪 ( 1978 ), 男, 博士, 讲师, 研究方向为电机及其控制 ; : 夏永洪黄劭刚 ( 1948 ), 男, 硕士, 教授, 硕士生导师, 研究方向为电机电子系统仿真电机电磁场分析电机励磁和电机控制

2 fd α t = F mfdfd cos fd α - fd = ωt Z λ ss cos s [ 1 s = 1 α - α ] 1 α t F mfdfd fd fd ω λ ss s Z α 1 + fd 7-8 sz 1 - fd - ω + fd 7 - ω - fd ω + 1 s Z ω

3 22 17 f h = Z 1f 1 = Z 1 n Hz f 1 n Z 1 (a) 截面图转子磁体电枢励磁 c 齿谐波 2. 2 n 1 n Fig. 1 The hyrid excitation ermanent magnet synchronous n generator utilizing tooth harmonic for excitation 3. kw 22 n V A 5 Hz Φ j =Φ j 1 Φ j 2 Φ j n j j = 1 2 Z 2 e i = -ψ i ψ i /Δt 2 5 i i Δt -2 3 永磁体定子铁心励磁齿谐波转子铁心 2 Fig. 2 The EMF waveform of the tooth harmonic 1 windings under no-load oeration 永定子 () 原理图 Y 1 Z mm mm. 9 mm mm 5. 2 Φ =Φ T 1 Φ T 2 Φ T Z 2 T mm N 3 N ψ = N Φ 4 ψ g (a) 计算波形 () 实验波形 a

4 Fig. 3 3 (a) 计算波形 () 实验波形 I a = A cosφ =. 9 The EMF waveform of the tooth harmonic windings for I a =6. 71 A and cosφ =. 9 lagging Tale 1 The effective value of the EMF of the tooth harmonic windings for Fig. 2 and Fig. 3 /V k c1 k c δ δ sa 电枢电流 /A (a) 功率因数为.9( 滞后 ) 电枢电流 /A () 功率因数为.8( 滞后 ) δ eq = k c1 k c2 δ + δ sa λ s1 = μ f δ eq 5 Fig. 5 Changes of the tooth harmonic winding voltage with armature current when field current is zero 5 ( s δ ) eq f ( s ) st 6 7 μ s st 7 励磁电流 /A 4 Fig. 4 Changes of the tooth harmonic winding voltage with field current when armature current is zero 4

5 J XIA Yonghong lectric Machines and Control J WANG ShanmingXIA YonghongWANG Xianghenget al. State of the art of hyrid excitation ermanent magnet synchronous machinesc/ /Proceedings of the 13th International Conference on Electrical Machines and SystemsOctoer IncheonKorea control of tooth harmonic emf of novel hyrid excitation ermanent J magnet synchronous machine J. Transactions of China Electrotechnical Society ZHAO ChaohuiQIN HaihongYAN Yangguang. Present status and alication ersective of hyrid excitation synchronous ma- 9. D. chinej. Electric Machines and Control FODOREAN DDJERDIR AVIOREL I Aet al. A doule excited synchronous machine for direct drive alication-design and rototye testsj. IEEE Transactions on Energy Conversion J ZHAO Chaohui. Structure designing and characteristic study of hecg which magnetic circuit series connection J. Transactions of China Electrotechnical Society AMARA YVID O LGABSI Met al. Hyrid excitation synchronous machines energy-efficient solution for vehicles roulsion J. IEEE Transactions on Vehicular Technology HUANG Shaogang. Simulation of hyrid excitation ermanent magnet synchronous generator with hyrid oles J. E XIA YonghongWANG ShanmingHUANG Shaoganget al. Hyrid excitation ermanent magnet synchronous generator utilizing tooth harmonic for excitationj. Journal of Tsinghua University Science and Technology J XIA YonghongWANG ShanmingQIU Aruiet al. Coordinated J XIA YonghongWANG ShanmingHUANG Shaoganget al. Fast calculation of the induced EMF waveform of the tooth harmonic windingsj. Electric Machines and Control HELLER BHAMATA V. M ( 编辑 : 张诗阁 )

34 22 f t = f 0 w t + f r t f w θ t = F cos p - ω 0 t - φ 1 2 f r θ t = F cos p - ω 0 t - φ 2 3 p ω 0 F F φ 1 φ 2 t A B s Fig. 1

34 22 f t = f 0 w t + f r t f w θ t = F cos p - ω 0 t - φ 1 2 f r θ t = F cos p - ω 0 t - φ 2 3 p ω 0 F F φ 1 φ 2 t A B s Fig. 1 22 2 2018 2 Electri c Machines and Control Vol. 22 No. 2 Feb. 2018 1 2 3 3 1. 214082 2. 214082 3. 150001 DOI 10. 15938 /j. emc. 2018. 02. 005 TM 301. 4 A 1007-449X 2018 02-0033- 08 Research of permanent