ELECTRI C MACHINES AND CONTROL Vol. 17 No. 2 Feb : 针对凸极无刷双馈电机两套定子绕组难于进行参数计算的问题, 在传统的绕组函数法的基础上, 应用分段函数来描述绕组函数以及反气隙函数, 以此来计算有着两

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1 ELECTRI C MACHINES AND CONTROL Vol. 17 No. 2 Feb : 针对凸极无刷双馈电机两套定子绕组难于进行参数计算的问题, 在传统的绕组函数法的基础上, 应用分段函数来描述绕组函数以及反气隙函数, 以此来计算有着两套绕组的无刷双馈电机定子功率和控制两套绕组的各自自感及互感, 然后以此方法应用于转子形状的优化设计中, 针对一系列极宽度不同的转子计算其自感和互感, 并利用计算结果得到了最优的转子极宽度通过与有限元数值计算方法所得到的计算结果进行对比, 证明了提出方法的准确性, 在计算转子极宽度最优值的应用中, 体现了此方法的工程价值 : 无刷双馈电机 ; 磁阻型转子 ; 绕组函数法 TM 359 A X Inductance calculation of reluctance rotor brushless doubly-fed machine GONG Sheng YANG Xiang-yu JI Liang-zhou School of Electric Power South China University of Technology Guangzhou 5164 China Abstract Given the difficulty of calculating parameters of two sets of stator winding of brushless doublyfed machine this paper described the winding function and anti-gap function by using segment function in order to calculate the control and power winding of brushless doubly-fed machine based on traditional winding function method and then got more accurate result. In comparison with the results from FEM method the method in this paper proves to be accurate and its application value for engineering is demonstrated in the calculation of the optimal width of rotor pole. Key words brushless doubly-fed machine reluctance rotor winding function method : 广东省重大科技专项 ( 28A938) ; 广东省绿色能源技术重点实验室资助项目 ( 28A6312) : 龚晟 ( 1978 ), 男, 博士研究生, 工程师, 研究方向为特种电机设计 ; : 龚晟杨向宇 ( 1963 ), 男, 博士, 教授, 博士生导师, 研究方向为电机设计及控制 ; 纪梁洲 ( 1985 ), 女, 硕士研究生, 研究方向为特种电机设计

2 ~ 4 1 / P p P c P p P c 3 P c P p 4-2P r = P p + P c 6 三相电源变频器 p p 极功率绕组 p c 极控制绕组 2-3 N x θ r φ = sin P x φ 1 m = 1 2 g - 1 min + gmax - 1 Fig. 1 The structure of BDFM n = 1 3 f p 2 g - 1 min - g - 1 f c 1 g - 1 θ r = m + ncosp r θ - θ rm 2 m n g max g min 5 max }

3 8 17 L Aa L Ab L Ac L Ba L Bb L Bc L Ca L Cb L Cc L Aa = L Ba = L Cc L Ab = L Bc = L Ca L Ac = L Ba = L Cb L Aa L Aa = μ rl 2π g -1 θ r N Pm sin P P φ N CM sin P C φ dφ = L rotor μ rln Pm N CM 8g min cosp r θ r 4 L Ab = μ rln Pm N CM 8g min L Ac = μ rln Pm N CM 8g min cos( P r θ r - 2π 3 ) 5 cos( P r θ r - 4π 3 ) 6 Table 1 Parameters of BDFM /mm /mm N pa θ N ca θ g - 1 θ ~ A Fig. 3 Winding distribution of A-phase power winding L rotor N( 兹 m) a Fig. 4 Winding distribution of a-phase control winding Fig /mm 55 Cross-section of the machine 1 ~ 7 A a x /mm ~ 19 X N( 兹 m)

4 i π i π - N A < θ i π i π < θ N PA θ = i π i π N A < θ i π i π < θ i = N a 24π < θ 36π 7-3N a < θ π i π i π - 2N a < θ 2 + 2i π 3 + 2i π - N a < θ 3 + i π 4 + i π < θ N Ca θ = i π i π N a < θ i π i π 2N a < θ 3N a 6π < θ 19π i = p r%/( ) i π Fig. 6 Winding mutual inductance distribution + ωt < θ 5 + ωt g min g - 1 θ t = 5 + 9i π 9 + 9i π + ωt < θ + ωt i = Fig. 5 5 Gap of stator and rotor A a 2π L Aa θ = μ rl g -1 θ N PA θ N Ca θ dθ 1 μ l r θ L AA 2π L AA θ = μ rl g -1 θ N 2 PA θ dθ 11 6 LAa%/H LBc%/H LAc%/H LCa%/H

5 82 17 L Aa 2 7 Table 2 Winding inductance of different rotor width 互感 LAa%/H 转子位置角兹 /( ) 改进绕组函数法计算值传统绕组函数法计算值有限元法计算值 L p /H L Bb /H L Bb /L p Fig. 7 7 Mutual inductance calculation results comparation Fig. 8 Rotor width optimization curve L rotor L rotor L p B b LBb%/Lp L - 2 J ZHANG Fengge JIN Shi. L - 2 robust control for brushless doublefed wind power generation system J. Electric Machines and Con-

6 2 83 trol Systems J J XU Wei LI Yaohua SUN Guangsheng et al. Tractive performance research of high power single linear induction motor based on winding function method J. Proceedings of the CSEE J. D KANG Min HUANG Jin LIU Dong et al. Calculation and measurement of parameters of a multiphase induction motor J. Proceedings of the CSEE D LIU Huijuan XU Longya. Performance analysis of doubly excited brushless reluctance machine used in wind power generation system C / /Power and Energy Engineering Conference Wuhan LIANG F XU L LIPO T A. D-Q analysis of a variable speed doubly AC excited reluctance motor J. Electric Machinea and Power PENG Xiao SHI Anle LI Yongjian. Design of stator winding for brushless double-feed motor J. Electric Machines and Control ESCHULZ M BETZ R E. Optimal Torque per Amp for Brushless Doubly Fed Reluctance Machine C / /IEEE Industry Applications Conference Hong Kong J ZHANG Fengge WANG Xiuping QI Ying. Effect of pole numbers on coupling capability of brushless doubly fed machine J. Electric Machines and Control ( 编辑 : 于智龙 )

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