In order to weaken the electromagnetic force harmonics caused by the tooth harmonics and effectively suppress the electromagnetic noise of the motor, the analytical formula of radial electromagnetic force wave of step-skew was derived, the mechanism of step-skew suppressing the electromagnetic noise of permanent magnet synchronous motor was analyzed, and the relationship between different segments of step-skew and the order of weakened tooth harmonics was discussed. The radial electromagnetic force wave and electromagnetic noise of a 48-slot 8-pole permanent magnet synchronous motor with different segments of step-skew were simulated and analyzed based on MANATEE simulation platform. The variation of electromagnetic force harmonics with and without step-skew was obtained, and the influence of the step-skew on electromagnetic noise was further analyzed. Results show that when the order of tooth harmonics is integral multiple of segments of step-skew, step-skew cannot weaken the order of tooth harmonics. When the order of tooth harmonics is non-integral multiple of segments, the tooth harmonics and the electromagnetic noise can be effectively suppressed. The measured noise values of the prototype were in good agreement with the simulation results, which verified the mechanism of step-skew suppressing electromagnetic noise of motor and the correctness of the simulation analysis.
Ke XU,Hong-liang YING,Su-rong HUANG,Qi ZHANG. Electromagnetic noise reduction of permanent magnet synchronous motor by step-skewed rotor. Journal of ZheJiang University (Engineering Science), 2019, 53(11): 2248-2254.
Tab.1Characteristic parameters of radial electromagnetic force wave
分类
fr
6f
12f
18f
24f
1
5/?5, 7/7
11/?11, 13/13
17/?17, 19/19
23/?23, 25/25
2
5/7, 5/?17
11/1, 11/?23
17/?5, 17/?29
23/?11
3
7/?5, 7/19
13/1, 13/25
19/7
25/13
4
5/19, 7/?17
11/13, 13/?11
17/7, 19/?5
23/1, 25/1
Tab.2Harmonic sources of 0th electromagnetic force wave of 48-slot 8-pole motor
分类
fr1)
10f
14f
22f
26f
1)注:仅列出与齿谐波相关的径向电磁力谐波来源
1
9/?11, 11/13
13/?11, 15/13
21/?23, 23/25
25/?27, 27/25
2
?
13/1
?
?
3
11/1, 11/25
15/25
23/13
27/17
4
9/13, 11/?11
13/13, 15/?11
21/1
25/1
Tab.3Harmonic sources of 8th electromagnetic force wave of 48-slot 8-pole motor
参数
数值
定子槽数
48
极数
8
最大转速/(r·min?1)
9 500
额定转速/(r·min?1)
4 000
最大扭矩/(N·m)
200
机壳外径/mm
270
电机轴向长度/mm
105
转子分段数
2
转子斜极角度/(°)
3.75
Tab.4Technical parameters of prototype
Fig.1No-load air gap magnetic density simulation results in different segment numbers
Fig.2Harmonic analysis of radial electromagnetic force in different segment numbers
Fig.3A-weighted sound pressure level sonagram at full speed conditions
Fig.4A-weighted sound level comparison in different segment numbers of step-skewed rotor
Fig.5Noise test experiment of prototype
n0/(r·min?1)
Lp-test/dB
Lp/dB
2 500
55.9
53.2
4 000
60.5
59.2
5 500
56.6
51.2
7 000
63.7
58.1
8 500
69.3
65.9
9 500
66.7
63.3
Tab.5Comparison between measured noise values and simulation results
[1]
DEACONU A S, CHIRIL A I, NVRPESCU V, et al. Thermal analysis of a PMSM for an intermittent periodic duty cycle [C]// 2013 8th International Symposium on IEEE, Advanced Topics in Electrical Engineering (ATEE). Bucharest: IEEE, 2013: 1-4.
[2]
FINLEY W R. Advantages of optimizing motor and drives to ensure best performance and total cost of ownership [C]// Cement Industry Technical Conference. Shenzhen: IEEE, 2014: 1-14.
[3]
REDDY P B, El-REFAIE A M, KUM-KANG H, et al Comparison of interior and surface PM machines equipped with fractional-slot concentrated windings for hybrid traction applications[J]. IEEE Transactions on Energy Conversion, 2012, 27 (3): 593- 602
doi: 10.1109/TEC.2012.2195316
[4]
STUCKMANN C Noise and vibration levels of modern electric motors[J]. PCIM Europe, 2016, 5: 1345- 1352
[5]
VALAVI M, NYSVEEN A, NILSSEN R, et al Influence of pole and slot combinations on magnetic forces and vibration in low-speed PM wind generators[J]. IEEE Transactions on Magnetics, 2014, 50 (5): 1- 11
[6]
DORRELL D G, POPESCU M, LONEL D M Unbalanced magnetic pull due to asymmetry and low-level static rotor eccentricity in fractional-slot brushless permanent-magnet motors with surface-magnet and consequent-pole rotors[J]. IEEE Transactions on Magnetics, 2010, 6 (7): 2675- 2685
[7]
CASSAT A, ESPANET C A practical solution to mitigate vibrations in industrial PM motors having concentric windings[J]. IEEE Transactions on Industry Applications, 2012, 48 (5): 1526- 1538
doi: 10.1109/TIA.2012.2210172
[8]
JANG I S, HAM S H, KIM W H, et al Method for analyzing vibrations due to electromagnetic force in electric motors[J]. IEEE Transactions on Magnetics, 2014, 50 (2): 297- 300
doi: 10.1109/TMAG.2013.2280954
[9]
谢颖, 刘海松, 吕森, 等 计及转子斜槽时笼型感应电机电磁振动变化规律的研究[J]. 中国电机工程学报, 2015, 35 (15): 3948- 3955 XIE Ying, LIU Hai-song, LV Sen, et al Study on the variation laws of electromagnetic vibration considered the skewed rotor in a squirrel-cage induction motor[J]. Proceedings of the CSEE, 2015, 35 (15): 3948- 3955
[10]
ZHANG Y Y, GENG H P, ZHOU J, et al. Analysis of electromagnetic force waves of solid cylindrical permanent magnet synchronous motors [C]// 2018 IEEE International Conference on Mechatronics and Automation, 2018, 5(8): 689-694.
[11]
李晓华, 黄苏融, 李良梓 电动汽车用永磁同步电机振动噪声的计算与分析[J]. 电机与控制学报, 2013, 17 (8): 37- 42 LI Xiao-hua, HUANG Su-rong, LI Liang-zi Calculation and analysis of vehicle vibration and noise of permanent magnet synchronous motor applied in electric vehicle[J]. Electric Machines and Control, 2013, 17 (8): 37- 42
doi: 10.3969/j.issn.1007-449X.2013.08.006
[12]
YANG H D, CHEN Y S Influence of radial force harmonics with low mode number on electromagnetic vibration of PMSM[J]. IEEE Journals and Magazines, 2014, 29 (1): 38- 45
[13]
杨浩东, 陈阳生 分数槽永磁同步电机电磁振动的分析与抑制[J]. 中国电机工程学报, 2011, 31 (24): 83- 89 YANG Hao-dong, CHEN Yang-sheng Electromagnetic vibration analysis and suppression of permanent magnet synchronous motor with fractional slot combination[J]. Proceedings of the CSEE, 2011, 31 (24): 83- 89
李晓华, 刘成健, 梅柏杉, 等 电动汽车IPMSM宽范围调速振动噪声源分析[J]. 中国电机工程学报, 2018, 38 (17): 5219- 5227 LI Xiao-hua, LIU Cheng-jian, MEI Bo-shan, et al Vibration and noise sources analysis of IPMSM for electric vehicles in a wide-speed range[J]. Proceedings of the CSEE, 2018, 38 (17): 5219- 5227
[16]
KUMAR D, KOTTALGI S A multiphysics optimization approach to design low noise and light weight electric powertrain noise, vibration and harshness (NVH) prediction of electric powertrain using finite element analysis (FEA) and optimization[J]. IEEE Industrial Electronics Society, 2017, 2 (17): 1692- 1697
[17]
JEAN L B Fast prediction of variable-speed acoustic noise due to magnetic forces in electrical machines[J]. IEEE Early Access Articles, 2016, 1 (16): 2259- 2265
[18]
左曙光, 刘晓璇, 于明湖, 等 永磁同步电机电磁振动数值预测与分析[J]. 电工技术学报, 2017, 32 (1): 159- 167 ZUO Shu-guang, LIU Xiao-xuan, YU Ming-hu, et al Numerical prediction and analysis of electromagnetic vibration in permanent magnet synchronous motor[J]. Transaction of China Electrotechnical Society, 2017, 32 (1): 159- 167
[19]
鲍晓华, 狄冲, 汪朗 笼型感应电机转子斜槽研究综述及展望[J]. 电工技术学报, 2016, 31 (6): 1- 12 BAO Xiao-hua, DI Chong, WANG Lang Review and prospect of skewed rotor in squirrel cage induction machines[J]. Transactions of China Electrotechnical Society, 2016, 31 (6): 1- 12
doi: 10.3969/j.issn.1000-6753.2016.06.001
[20]
JUNG J W, KIM D J, HONG J P, et al Experimental verification and effects of step skewed rotor type IPMSM on vibration and noise[J]. IEEE Transactions on Magnetics, 2011, 47 (10): 3661- 3664
doi: 10.1109/TMAG.2011.2150739
[21]
YUSUF Y, MOHAMMED E, YILMAZ S, et al. Acoustic noise mitigation for high pole count switched reluctance machines through skewing method with multiphysics FEA simulations [C]// 2017 IEEE Energy Conversion Congress and Exposition. Cincinnati: IEEE, 2017: 738-744.
[22]
刘朋鹏, 张琪, 何彪, 等 永磁同步电机永磁体分块对涡流损耗的影响分析[J]. 电机控制与应用, 2018, 45 (6): 56- 61 LIU Peng-peng, ZHANG Qi, HE Biao, et al Impact analysis of permanent magnet segments on eddy current loss in permanent magnet synchronous motor[J]. Electric Machines and Control Application, 2018, 45 (6): 56- 61
[23]
HAN Z, LIU J, GONG C, et al. Influence mechanism on vibration and noise of PMSM for different structures of skewed stator [C]// 2017 20th International Conference on Electrical Machines and Systems. Sydney: IEEE, 2017: 1-5.
[24]
BLUM J, MERWERTH J, HERZOG H G. Investigation of the segment order in step-skewed synchronous machines on noise and vibration [C]// 2014 4th International Electric Drives Production Conference. Nuremberg: IEEE, 2014: 1-6.