Abstract：This paper presents the magnetic equivalent circuit method for fast calculating the magnetic and performance of double rotors, single stator module axial flux permanent magnet machines. Sensitive parameters effects on the machine loss and efficiency are discussed, including stator outer diameter, permanent magnet axial height, air gap length, etc. A 30kW axial flux permanent magnet machine with yokeless and segment armature is optimally designed, and further the machine air-gap and stator teeth flux density, induction electromotive force are calculated by using the proposed method. The MEC model takes into account the magnetic saturation, armature reaction, leakage flux and the relative motion, and the calculation results are compared with finite element method to verify the correctness of the proposed model and the effectiveness of the optimization design process.
[1] Capponi F Giulii, Donato G De, Caricchi F. Recent advances in axial-flux permanent-magnet machine technology[J]. IEEE Transactions on Industry Applica- tions, 2012, 48(6): 2190-2205. [2] Parviainen A, Niemela M, Pyrhone n J. Modeling of axial flux permanent-magnet machines[J]. IEEE Transac- tions on Industry Applications, 2004, 40(5): 1333- 1340. [3] Huang Y, Ge B, Dong J, et al. 3-D analytical modeling of no-load magnetic field of ironless axial flux permanent magnet machine[J]. IEEE Transactions on Magnetics, 2012, 48(11): 2929-2932. [4] Sung S Y, Jeong J H, Park Y S, et al. Improved analytical modeling of axial flux machine with a double-sided permanent magnet rotor and slotless stator based on an analytical method[J]. IEEE Transactions on Magnetics, 2012, 48(11): 2945-2948. [5] Chan T F, Wang W, Lai L L. Performance of an axial-flux permanent magnet synchronous generator from 3-D finite-element analysis[J]. IEEE Transactions on Energy Conversion, 2010, 25(3): 669-676. [6] Mahmoudi A, Kahourzade S, Rahim N A, et al. Design, analysis, and prototyping of an axial-flux permanent magnet motor based on genetic algorithm and finite-element analysis[J]. IEEE Transactions on Magnetics, 2013, 49(4): 1479-1492. [7] Amrhein M, Krein P T. Magnetic equivalent circuit simulations of electrical machines for design purposes [C]. Electric Ship Technologies Symposium, 2007: 254-260. [8] Wang R J, Kamper M J, Van der Westhuizen K. Optimal design of a coreless stator axial flux permanent- magnet generator[J]. IEEE Transactions on Magnetics, 2005, 41(1): 55-64. [9] 董剑宁, 黄允凯, 金龙, 等. 定子无铁心轴向磁场永磁电机的解析设计[J]. 电工技术学报, 2013, 28(3): 43-49. Dong Jianning, Huang Yunkai, Jin Long, et al. Analytical design method of stator-coreless axial flux permanent magnet machines[J]. Transactions of China Electrotechnical Society, 2013, 28(3): 43-49. [10] Chun Y D, Koo D H, Cho Y H. Multiobjective optimization design of axial flux permanent magnet motor[J]. International Journal of Applied Electro- magnetics and Mechanics, 2007, 25(1): 613-619. [11] Aydin M, Huang S, Lipo T A. Optimum design and 3D finite element analysis of nonslotted and slotted internal rotor type axial flux pm disc machines[C]. Power Engineering Society Summer Meeting, Van- couver, 2001: 1409-1416. [12] Kano Y, Tonogi K, Kosaka T. Torque-Maximizing design of double-stator, axial-flux, PM machines using simple non-linear magnetic analysis[C]. Industry Applications Conference, New Orleans, LA, 2007: 875-881. [13] 王蕾, 李光友, 张强. 磁通反向电机的变网络等效磁路模型[J]. 电工技术学报, 2008, 23(8): 18-23. Wang Lei, Li Guangyou, Zhang Qiang. Network- Varying equivalent magnetic circuit modeling of a flux-reversal machine[J]. Transactions of China Electrotechnical Society, 2008, 23(8): 18-23. [14] Sudhoff S D, Kuhn B T, Corzine K A, et al. Magnetic equivalent circuit modeling of induction motors[J]. IEEE Transactions on Energy Conversion, 2007, 22(2): 259-270. [15] 宫晓, 徐衍亮. 轴向磁场盘式永磁电机等效磁路网络及气隙漏磁的分析计算[J]. 电机与控制学报, 2013, 17(10): 59-64. Gong Xiao, Xu Yanliang. Lumped parameter magnetic circuit analysis of axial flux permanent magnet motor and its analytical calculation of air gap leakage[J]. Electrical Machines and Control, 2013, 17(10): 59-64. [16] 沙德尚, 孔力, 孙晓. 双凸极无刷直流发电机的非线性数学模型[J]. 电工技术学报, 2003, 18(4): 6-10. Sha Deshang, Kong Li, Sun Xiao. A nonlinear mathematical model of the doubly salient brushless DC generator[J]. Transactions of China Electrotech- nical Society, 2003, 18(4): 6-10. [17] Huang Y, Zhou T, Dong J, et al. Magnetic equivalent circuit modeling of yokeless axial flux permanent magnet machine with segmented armature[J]. IEEE Transactions on Magnetics, 2014, 50(11): 8104204, 4pages. [18] Qu R, Lipo T A. Analysis and modeling of air-gap and zigzag leakage fluxes in a surface-mounted permanent-magnet machine[J]. IEEE Transactions on Industry Applications, 2004, 40(1): 121-127. [19] Deng F. An improved iron loss estimation for permanent magnet brushless machines[J]. IEEE Transactions on Energy Conversion, 1999, 14(4): 1391-1395. [20] Jacek F Gieras, Wang Rong Jie, Maarten J Kamper. Axial flux permanent magnet brushless machines[M]. New York: Springer-Verlag, 2008. [21] Li J, Choi D W, Cho C H. Eddy-current calculation of solid components in fractional slot axial flux permanent magnet synchronous machines[J]. IEEE Transactions on Magnetics, 2011, 47(10): 4254-4257.
2015, Vol. 30 
