Design and Analysis of Asymmetric Consequent-Pole Permanent Magnet Assisted Synchronous Reluctance Motor Based on Flux Linkage Phase Shifting Principle
Zhou Huawei, Long Shunhai, Jiang Guangyao, Wang Chengming, Liu Zhengmeng
School of Electrical and Information Engineering Jiangsu University Zhenjiang 212013 China
Abstract：In recent years, with the rising price of permanent magnet materials, magnet motors with high efficiency, high torque density, and fewer permanent magnets have gained much attention. The electric propulsion system for high torque density, low torque ripple, and low-cost permanent magnet motor is required. This paper proposes a new asymmetric consequent-pole permanent magnet-assisted synchronous reluctance motor (ACP- PMaSynRM), which can enhance output torque, reduce torque ripple, and decrease permanent magnet amounts. An ACP-PMaSynRM with 48 slots and 14 poles was designed based on the phase-shifting principle of permanent magnet flux linkage. Double three-phase double-layered distributed windings are adopted, and the flux barriers of the second and third layers are asymmetrical in the rotor. Additionally, the asymmetrical consequent-pole permanent magnets are embedded in the flux barriers of the second and third layers. The asymmetric rotor structure comprises the consequent-pole permanent magnets and the asymmetric flux barriers. The right flux barriers of the second and third layers are shifted by a phase angle λ to the left. Therefore, the maximum value of permanent magnet flux-linkage is shifted by an angle γ from the traditional d-axis to the new d1-axis, thus forming a new d1-q1 coordinate system. Therefore, it can be deduced that the output torque of ACP-PMaSynRM in the d1-q1 coordinate system is ${{T}_{e}}=\frac{3}{2}p{{\psi }_{pm}}{{i}_{s}}\cos {{\beta }_{2}}+\frac{3}{4}pi_{s}^{2}\left( {{L}_{q}}-{{L}_{d}} \right)\sin 2\left( \gamma +{{\beta }_{2}} \right)={{T}_{pm}}+{{T}_{r}}$ It can be noticed that Tpm and Tr simultaneously reach the maximum value when γ =π/4 and β2=0. Using the finite element method (FEM), the structural parameters of permanent magnets were optimized to fully utilize the permanent magnet and reluctance torque. Compared with traditional PMaSynRM, the amount of permanent magnet of ACP-PMaSynRM is reduced by 9.9%. The fundamental component of back-EMF of ACP-PMaSynRM is almost the same as that of traditional PMaSynRM. Meanwhile, the utilization of permanent magnet and reluctance torque of ACP-PMaSynRM is increased by 20.5% and 4.2%, respectively. The current phase angles corresponding to the maximum permanent magnet torque and the maximum reluctance torque are the same, thus realizing the full utilization of the permanent magnet and reluctance torque. Therefore, compared with the traditional PMaSynRM, the average torque of ACP-PMaSynRM is increased by 10.5%, and the torque ripple is reduced by 50%. Finally, a prototype with 48 slots and 14 poles was fabricated to verify its feasibility. The measured results are almost consistent with the simulation. The following conclusions can be drawn: (1) ACP-PMaSynRM can improve the utilization rate of the permanent magnet, realize the full utilization of permanent magnet and reluctance torque, and enhance output torque capability. (2) Compared with traditional PMaSynRM, ACP-PMaSynRM uses an asymmetric consequent- pole permanent magnet array, which can improve the air-gap magnetic density, back-EMF, and output torque capacity while reducing torque ripple. (3) The third harmonic back-EMF is high, and further research is needed to suppress the harmonic.
周华伟, 龙顺海, 江光耀, 王成明, 刘正蒙. 基于磁链相移原理的不对称交替极永磁辅助同步磁阻电机设计与分析[J]. 电工技术学报, 2024, 39(2): 455-464.
Zhou Huawei, Long Shunhai, Jiang Guangyao, Wang Chengming, Liu Zhengmeng. Design and Analysis of Asymmetric Consequent-Pole Permanent Magnet Assisted Synchronous Reluctance Motor Based on Flux Linkage Phase Shifting Principle. Transactions of China Electrotechnical Society, 2024, 39(2): 455-464.
[1] 吉敬华, 沈人洁, 徐亮, 等. 考虑运行工况的模块化双永磁游标电机多工作点优化设计[J]. 电工技术学报, 2022, 37(22): 5649-5659. Ji Jinghua, Shen Renjie, Xu Liang, et al.Optimal design of modular double permanent magnet vernier motor with multi-working points considering oper-ating conditions[J]. Transactions of China Electro-technical Society, 2022, 37(22): 5649-5659. [2] 孙毅, 蔡顺, 林迎前, 等. 永磁辅助同步磁阻电机顶层优化设计[J]. 电工技术学报, 2022, 37(9): 2306-2318. Sun Yi, Cai Shun, Lin Yingqian, et al.Top-level design pattern of PM-assisted synchronous reluctance machines[J]. Transactions of China Electrotechnical Society, 2022, 37(9): 2306-2318. [3] 高锋阳, 齐晓东, 李晓峰, 等. 部分分段Halbach永磁同步电机优化设计[J]. 电工技术学报, 2021, 36(4): 787-800. Gao Fengyang, Qi Xiaodong, Li Xiaofeng, et al.Optimization design of partially-segmented halbach permanent magnet synchronous motor[J]. Transa-ctions of China Electrotechnical Society, 2021, 36(4): 787-800. [4] 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 motor based on multi-physical field approximation model[J]. Transactions of China Elec-trotechnical Society, 2022, 37(21): 5414-5423. [5] 刘云飞, 张炳义, 宗鸣, 等. 基于非线性混合模型的模块组合式永磁电机磁场解析[J]. 电工技术学报, 2022, 37(18): 4593-4603. Liu Yunfei, Zhang Bingyi, Zong Ming, et al.Mag-netic field analysis of modular permanent magnet motor based on nonlinear hybrid model[J]. Transa-ctions of China Electrotechnical Society, 2022, 37(18): 4593-4603. [6] Du Longxin, Liu Xiping, Fu Jiesheng, et al.Design and optimization of reverse salient permanent magnet synchronous motor based on controllable leakage flux[J]. CES Transactions on Electrical Machines and Systems, 2021, 5(2): 163-173. [7] Xiang Zixuan, Pu Weiling, Zhu Xiaoyong, et al.Design and analysis of a V-shaped permanent magnet vernier motor for high torque density[J]. CES Transactions on Electrical Machines and Systems, 2022, 6(1): 20-28. [8] Liu Xiangdong, Chen Hao, Zhao Jing, et al.Research on the performances and parameters of interior PMSM used for electric vehicles[J]. IEEE Transa-ctions on Industrial Electronics, 2016, 63(6): 3533-3545. [9] Hu Yaohua, Zhu Shushu, Liu Chuang, et al.Electro-magnetic performance analysis of interior PM machines for electric vehicle applications[J]. IEEE Transactions on Energy Conversion, 2018, 33(1): 199-208. [10] Zhu Shushu, Chen Weifang, Xie Mingqiu, et al.Electromagnetic performance comparison of multi-layered interior permanent magnet machines for EV traction applications[J]. IEEE Transactions on Mag-netics, 2018, 54(11): 1-5. [11] Momen F, Rahman K, Son Y.Electrical propulsion system design of Chevrolet bolt battery electric vehicle[J]. IEEE Transactions on Industry Appli-cations, 2017, 55(1): 376-384. [12] Anh H T, Hsieh M.Comparative study of PM-assisted SynRM and IPMSM on constant power speed range for EV applications[C]//2017 IEEE International Magnetics Conference (INTERMAG), Dublin, Ireland, 2017: 8008078. [13] Cai Haiwei, Guan Bo, Xu Longya.Low-cost ferrite PM-assisted synchronous reluctance machine for electric vehicles[J]. IEEE Transactions on Industrial Electronics, 2014, 61(10): 5741-5748. [14] Bianchi N, Bolognani S, Bon D, et al.Rotor flux-barrier design for torque ripple reduction in synchronous reluctance and PM-assisted synchronous reluctance motors[J]. IEEE Transactions on Industry Applications, 2009, 45(3): 921-928. [15] Zhao Wenliang, Zhao Fei, Lipo T A, et al.Optimal design of a novel V-type interior permanent magnet motor with assisted barriers for the improvement of torque characteristics[J]. IEEE Transactions on Magnetics, 2014, 50(11): 1-4. [16] Wang Bo, Wang Jiabin, Griffo A, et al.Experimental assessments of a triple redundant nine-phase fault-tolerant PMA SynRM drive[J]. IEEE Transactions on Industrial Electronics, 2019, 66(1): 772-783. [17] Huynh T A, Hsieh M F.Irreversible demagnetization analysis for multilayer magnets of permanent magnet-assisted synchronous reluctance machines considering current phase angle[J]. IEEE Transactions on Mag-netics, 2019, 55(7): 1-9. [18] Nobahari A, Vahedi A, Nasiri-Zarandi R.A modified permanent magnet-assisted synchronous reluctance motor design for torque characteristics improve-ment[J]. IEEE Transactions on Energy Conversion, 2022, 37(2): 989-998. [19] Liu Zeyu, Hu Yan, Wu Jiacheng, et al.A novel modular permanent magnet-assisted synchronous reluctance motor[J]. IEEE Access, 2021, 9: 19947-19959. [20] Zhao Wenliang, Shen Haizhen, Lipo T A, et al.A new hybrid permanent magnet synchronous reluctance machine with axially sandwiched magnets for per-formance improvement[J]. IEEE Transactions on Energy Conversion, 2018, 33(4): 2018-2029. [21] Liu Guohai, Xu Gaohong, Zhao Wenxiang, et al.Improvement of torque capability of permanent-magnet motor by using hybrid rotor configuration[J]. IEEE Transactions on Energy Conversion, 2017, 32(3): 953-962. [22] Xu Gaohong, Liu Guohai, Zhao Wenxiang, et al.Principle of torque-angle approaching in a hybrid rotor permanent-magnet motor[J]. IEEE Transactions on Industrial Electronics, 2019, 66(4): 2580-2591. [23] Zeng Xianxian, Quan Li, Zhu Xiaoyong, et al.Investigation of an asymmetrical rotor hybrid permanent magnet motor for approaching maximum output torque[J]. IEEE Transactions on Applied Superconductivity, 2019, 29(2): 1-4. [24] Zhao Wenliang, Chen Dezhi, Lipo T A, et al.Performance improvement of ferrite-assisted syn-chronous reluctance machines using asymmetrical rotor configurations[J]. IEEE Transactions on Mag-netics, 2015, 51(11): 1-4. [25] Mohammadi A, Mirimani S M.Design of a novel PM-assisted synchronous reluctance motor topology using V-shape permanent magnets for improvement of torque characteristic[J]. IEEE Transactions on Energy Conversion, 2022, 37(1): 424-432. [26] Zhu Ziqiang, Xiao Yang.Novel magnetic-field-shifting techniques in asymmetric rotor pole interior PM machines with enhanced torque density[J]. IEEE Transactions on Magnetics, 2022, 58(2): 1-10. [27] Baek J, Bonthu S S R, Choi S. Design of five-phase permanent magnet assisted synchronous reluctance motor for low output torque ripple applications[J]. IET Electric Power Applications, 2016, 10(5): 339-346. [28] Li Dawei, Qu Ronghai, Li Jian, et al.Analysis of torque capability and quality in vernier permanent-magnet machines[J]. IEEE Transactions on Industry Applications, 2016, 52(1): 125-135.
2024, Vol. 39 
