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| Analytical Modeling for Rotor Eddy Current Loss of High-Speed Surface-Mounted Permanent Magnet Motor with Double-Layer Compound Retaining Sleeve |
| Tong Wenming1, Tian Ye1, Li Xiaojian1, Jia Jianguo1, Li Wendong2 |
1. National Engineering Research Center for Rare-Earth Permanent Magnet Motor Shenyang University of Technology Shenyang 110870 China;
2. Shenyang Micro Control New Energy Technology Co. Ltd Shenyang 110178 China |
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Abstract High-speed permanent magnet motors (HSPMM) are widely used in high-speed machine tools, flywheel energy storage, and other fields due to their small size and high power density. For surface-mounted HSPMM, the rotor eddy current loss is large, and the heat dissipation conditions are poor, which may cause the rotor temperature to rise too high and increase the irreversible demagnetization risk of the permanent magnet. The double-layer composite retaining sleeve can effectively suppress the eddy current loss of the rotor, and the finite element method is mainly used to calculate its eddy current loss. This method needs a long calculation time. Therefore, based on the exact subdomain method, this paper proposes a general analytical model for rotor eddy current loss of double-layer composite retaining sleeve HSPMM considering stator slotting and eddy current reaction.
Firstly, the whole field of the motor is divided into six sub-domains, such as permanent magnet, retaining sleeve, and air gap. The analytical model for rotor eddy current loss of HSPMM is established. Through the boundary conditions between each subdomain, the general expression of the magnetic field distribution in each subdomain is obtained. Then, the equations are solved by constructing the unknown coefficient equations, and the eddy current loss of each part of the rotor is calculated. Secondly, the air gap flux density and rotor eddy current loss of the selected prototype are calculated using finite element and analytical methods. The results show that the analytical method is almost consistent with the finite element method, and the double-layer composite retaining sleeve significantly suppresses the rotor eddy current loss of the surface-mounted HSPMM. The influence of different retaining sleeve thickness ratios and retaining sleeve materials on the eddy current loss is studied by the analytical model, and eddy current loss variations under different rotor structures are obtained. Finally, the C-type core experiment is established, and the calculation results of the eddy current loss analytical method are compared with the experimental results of the C-type core.
The following conclusions are drawn through analytical calculation and experimental results. The error between the analytical calculation and experimental results is within 5%, and the model has high calculation accuracy. The double-layer composite retaining sleeve with outer carbon fiber and inner alloy effectively suppresses the eddy current loss of the rotor. When the thickness of the outer carbon fiber retaining sleeve is 1/3~1/2 of the total thickness of the double-layer composite retaining sleeve, the rotor eddy current loss suppression effect is the best. Taking the motor in this paper as an example, the double-layer composite retaining sleeve reduces the eddy current loss of the rotor by about 67.2% and 23%, respectively, compared with the single-layer nickel-based alloy and single-layer carbon fiber retaining sleeve. Moreover, the larger conductivity of the inner alloy retaining sleeve has a smaller total eddy current loss of the rotor.
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Received: 05 June 2023
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[1] 张凤阁, 杜光辉, 王天煜, 等. 高速电机发展与设计综述[J]. 电工技术学报, 2016, 31(7): 1-18.
Zhang Fengge, Du Guanghui, Wang Tianyu, et al.Review on development and design of high speed machines[J]. Transactions of China Electrotechnical Society, 2016, 31(7): 1-18.
[2] 戴睿, 张岳, 王惠军, 等. 基于多物理场近似模型的高速永磁电机多目标优化设计[J]. 电工技术学报, 2022, 37(21): 5414-5423.
Dai Rui, Zhang Yue, Wang Huijun, et al.Multi-objective optimization design of high-speed per-manent magnet machine based on multi-physics approximate model[J]. Transactions of China Elec-trotechnical Society, 2022, 37(21): 5414-5423.
[3] 佟文明, 侯明君, 孙鲁, 等. 基于精确子域模型的带护套转子高速永磁电机转子涡流损耗解析方法[J]. 电工技术学报, 2022, 37(16): 4047-4059.
Tong Wenming, Hou Mingjun, Sun Lu, et al.Analytical method of rotor eddy current loss for high-speed surface-mounted permanent magnet motor with rotor retaining sleeve[J]. Transactions of China Electrotechnical Society, 2022, 37(16): 4047-4059.
[4] Zhang Yue, McLoone S, Cao Wenping. Electro-magnetic loss modeling and demagnetization analysis for high speed permanent magnet machine[J]. IEEE Transactions on Magnetics, 2018, 54(3): 1-5.
[5] 高起兴, 王晓琳, 顾聪, 等. 基于多耦合特性的整体支撑式超高速微型永磁电机设计[J]. 电工技术学报, 2021, 36(14): 2989-2999.
Gao Qixing, Wang Xiaolin, Gu Cong, et al.Design of ultra high speed micro permanent magnet motor with integrated support type based on multi coupling characteristics[J]. Transactions of China Electro-technical Society, 2021, 36(14): 2989-2999.
[6] 李玮, 汪泽润, 张凤阁. 基于FEM/Kriging近似模型结合进化算法的表贴式高速永磁电机转子强度优化[J]. 电工技术学报, 2023, 38(4): 936-944, 956.
Li Wei, Wang Zerun, Zhang Fengge.Rotor strength optimization of surface mount high speed permanent magnet motor based on FEM/kriging approximate model and evolutionary algorithm[J]. Transactions of China Electrotechnical Society, 2023, 38(4): 936-944, 956.
[7] Yon J M, Mellor P H, Wrobel R, et al.Analysis of semipermeable containment sleeve technology for high-speed permanent magnet machines[J]. IEEE Transactions on Energy Conversion, 2012, 27(3): 646-653.
[8] 沈建新, 郝鹤, 袁承. 高速永磁无刷电机转子护套周向开槽的有限元分析[J]. 中国电机工程学报, 2012, 32(36): 53-60, 14.
Shen Jianxin, Hao He, Yuan Cheng.FEA study on circumferential grooves on rotor retaining sleeve of high-speed PM brushless motors[J]. Proceedings of the CSEE, 2012, 32(36): 53-60, 14.
[9] 张忠明, 邓智泉, 孙权贵, 等. 铜屏蔽层对高速永磁无刷直流电机转子涡流损耗和应力的影响分析[J]. 中国电机工程学报, 2018, 38(8): 2476-2486, 2557.
Zhang Zhongming, Deng Zhiquan, Sun Quangui, et al.Influences of copper shield on eddy-current loss and stress for a rotor of high-speed PM BLDC motor[J]. Proceedings of the CSEE, 2018, 38(8): 2476-2486, 2557.
[10] Fang Haiyang, Li Dawei, Qu Ronghai, et al.Rotor design and eddy-current loss suppression for high-speed machines with a solid-PM rotor[J]. IEEE Transactions on Industry Applications, 2019, 55(1): 448-457.
[11] Cheng Xin, Xu Wei, Du Guanghui, et al.Novel rotors with low eddy current loss for high speed permanent magnet machines[J]. CES Transactions on Electrical Machines and Systems, 2019, 3(2): 187-194.
[12] Renedo A J, Sharkh S M, Yuratich M A.Calculation of rotor losses in PM machines with retaining sleeves using transfer matrices[J]. IET Electric Power Applications, 2018, 12(8): 1150-1157.
[13] 曹龙飞, 范兴纲, 李大伟, 等. 基于快速有限元的永磁电机绕组涡流损耗半解析高效计算[J]. 电工技术学报, 2023, 38(1): 153-165.
Cao Longfei, Fan Xinggang, Li Dawei, et al.Semi analytical and efficient calculation method of eddy current loss in windings of permanent magnet machines based on fast finite element method[J]. Transactions of China Electrotechnical Society, 2023, 38(1): 153-165.
[14] Ou Jing, Liu Yingzhen, Liang Dawei, et al.Investigation of PM eddy current losses in surface-mounted PM motors caused by PWM[J]. IEEE Transactions on Power Electronics, 2019, 34(11): 11253-11263.
[15] Chiodetto N, Bianchi N, Alberti L.Improved analytical estimation of rotor losses in high-speed surface-mounted PM synchronous machines[J]. IEEE Transactions on Industry Applications, 2017, 53(4): 3548-3556.
[16] Hannon B, Sergeant P, Dupré L.2-D analytical subdomain model of a slotted PMSM with shielding cylinder[J]. IEEE Transactions on Magnetics, 2014, 50(7): 1-10.
[17] Ali Qazalbash A, Sharkh S M, Irenji N T, et al.Rotor eddy loss in high-speed permanent magnet syn-chronous generators[J]. IET Electric Power Appli-cations, 2015, 9(5): 370-376.
[18] Tong Wenming, Sun Lu, Hou Mingjun, et al.Analytical modeling for rotor eddy current loss of a surface-mounted PMSM with both non-ferromagnetic conductive retaining sleeve and shielding cylinder[J]. IEEE Transactions on Energy Conversion, 2022, 37(2): 832-843.
[19] Toda H, Xia Zhenping, Wang Jiabin, et al.Rotor eddy-current loss in permanent magnet brushless machines[J]. IEEE Transactions on Magnetics, 2004, 40(4): 2104-2106.
[20] 孙权贵, 邓智泉, 张忠明. 基于齿槽效应的高速永磁电机转子涡流损耗解析计算[J]. 电工技术学报, 2018, 33(9): 1994-2004.
Sun Quangui, Deng Zhiquan, Zhang Zhongming.Analytical calculation of rotor eddy current losses in high speed permanent magnet machines accounting for influence of slot opening[J]. Transactions of China Electrotechnical Society, 2018, 33(9): 1994-2004.
[21] Wu L J, Zhu Z Q, Staton D, et al.Analytical modeling and analysis of open-circuit magnet loss in surface-mounted permanent-magnet machines[J]. IEEE Transactions on Magnetics, 2012, 48(3): 1234-1247.
[22] Wu L J, Zhu Z Q, Staton D, et al.Analytical model for predicting magnet loss of surface-mounted permanent magnet machines accounting for slotting effect and load[J]. IEEE Transactions on Magnetics, 2012, 48(1): 107-117.
[23] Pfister P D, Yin Xin, Fang Youtong.Slotted permanent-magnet machines: general analytical model of magnetic fields, torque, eddy currents, and permanent-magnet power losses including the diffusion effect[J]. IEEE Transactions on Magnetics, 2016, 52(5): 1-13.
[24] Zhang Zhongming, Deng Zhiquan, Sun Quangui, et al.Analytical modeling and experimental validation of rotor harmonic eddy-current loss in high-speed surface-mounted permanent magnet motors[J]. IEEE Transactions on Magnetics, 2019, 55(2): 1-11.
[25] 佟文明, 侯明君, 鹿吉文, 等. 基于负载磁场考虑涡流反作用的带护套高速永磁电机转子涡流损耗解析模型[J]. 中国电机工程学报, 2022, 42(24): 9072-9084.
Tong Wenming, Hou Mingjun, Lu Jiwen, et al.Rotor eddy current loss analytical model for high-speed permanent magnet motor with sleeve based on loaded magnetic field analysis considering eddy current reaction effect[J]. Proceedings of the CSEE, 2022, 42(24): 9072-9084.
[26] Wang Zicheng, Li Yan, Du Jianmin, et al.Analytical calculation for multilayer rotor eddy current losses of high-speed permanent magnet machines[J]. IEEJ Transactions on Electrical and Electronic Engineering, 2022, 17(4): 601-610.
[27] Qin Wei, Lü Gang, Ma Yuhua.Three-dimensional analytical modeling of axial flux permanent magnets maglev motor[J]. CES Transactions on Electrical Machines and Systems, 2022, 6(4): 438-444.
[28] Wu L J, Zhu Z Q.Simplified analytical model and investigation of open-circuit AC winding loss of permanent-magnet machines[J]. IEEE Transactions on Industrial Electronics, 2014, 61(9): 4990-4999. |
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2024, Vol. 39 
