不同定子槽形潜水电机空载时表面损耗的研究

摘要/Abstract

摘要：

由于潜水电机特殊的运行环境,其定子通常采用闭口槽结构。本文选用定、转子同为闭口槽的潜水电机为原模型,对其转子上空载时的涡电流与涡流损耗进行了研究。首先通过解析法推导分析了卡特系数、气隙磁导、由定子槽开口引起的齿谐波磁场以及转子表面的涡流损耗。其次建立四种定子槽形模型,用二维有限元法对其磁场特征进行了分析,特别是由开槽引起的齿谐波磁场。通过与原闭口槽模型进行对比,半开口和全开口槽模型中由定子开槽引起的定子齿谐波磁场则可利用矢量合成法从总的定子齿谐波中分离得到。最后,分别用解析法和有限元法对各个模型中转子涡电流与转子涡流损耗进行了分析。由于有限元法考虑了电机中磁饱和和材料的非线性问题,其计算结果与解析的结果存在一点差距。根据文中结果表明,本文所提出的改进的定子闭口槽模型相比于开口槽和原闭口槽具有更小的转子表面损耗。

关键词: 涡流损耗, 有限元法, 空载状态

Abstract:

Due to the special operation conditions, the stator of submersible motor is generally adopted closed-type-slot. In this paper, the rotor eddy currents as well as the rotor eddy current losses at no-load condition in a submersible motor which consist of the closed-slot stator and closed-slot rotor were investigated. Analytical method was developed to evaluate the Carter Factor, the air-gap permeance, the tooth harmonic fields caused by stator slotting, and the eddy current losses on rotor surface. The magnetic fields especially the tooth harmonic fields caused by slotting effect in four stator slot models were analyzed by the transient two-dimensional finite element method (2D FEM). Full-open slot model and semi-open slot model were constructed to make a comparison with the original slot model. Then the stator tooth harmonic fields caused by stator slotting were separated from the total stator tooth harmonics by vector composition method. The rotor eddy currents as well as the rotor eddy current losses of the models with different stator slot types were analyzed. There is a little difference between the analytical results and the FEM results since the FEM method considered the magnetic saturation and material nonlinearity. Finally, it is found that the rotor surface loss of the model with improved stator slots is much smaller than that of the model with open slots and original slots.

Key words: Eddy current losses, finite element method, no-load condition, tooth harmonic fields

中图分类号:

TM301

鲍晓华,梁娜,方勇,李福英. 不同定子槽形潜水电机空载时表面损耗的研究[J]. 电气工程学报, 2015, 10(6): 7-18.

Bao Xiaohua,Liang Na,Fang Yong,Li Fuying. Analysis of Eddy Current Losses on Surface of Submersible Motor with Different Stator Slot Types at No-Load Condition[J]. Journal of Electrical Engineering, 2015, 10(6): 7-18.

图/表 21

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参考文献 25

[1]	C N Clew . Stray load losses in induction motors: A challenge to academia[J]. Power Engineering Joural, 1998,12(1):27-32.
[2]	D Hiramatsu, T Tokumasu, M Fujita , et al. A study on rotor surface losses in small-to-medium cylindrical synchronous machine[J]. IEEE Transactions on Energy Conversion, 2012,27(24):813-821. doi: 10.1109/TEC.2012.2211877
[3]	J Li, D W Choi, D H Son , et al. Effects of MMF harmonics on rotor eddy-current losses for inner-rotor fractional slot axial flux permanent magnet synchronous machines[J]. IEEE Transactions on Magnetism, 2012,48(2):839-842. doi: 10.1109/TMAG.2011.2173923
[4]	R J Wang, M J Kamper . Calculation of eddy current losses in axial field permanent magnet machine with coreless stator[J]. IEEE Transactions on Energy Conversion, 2004,19(3):532-538. doi: 10.1109/TEC.2004.832043
[5]	M Nakano, H Kometani, M Kawamura . A study on eddy-current losses in rotors of surface permanent-magnet synchronous machines[J]. IEEE Transactions on Industrial Applications, 2006,42(2):429-435. doi: 10.1109/TIA.2006.870037
[6]	Y Amara, J B Wang, D Howe . Analytical prediction of eddy-current loss in modular tubular permanent magnet machines[J]. IEEE Transactions on Energy Conversion, 2005,20(4):761-770. doi: 10.1109/TEC.2005.853732
[7]	D Ishak, Z Q Zhu, D Howe . Eddy-current loss in the rotor magnets of permanent-magnet brushless machines having a fractional number of slots per pole[J]. IEEE Transactions on Magnetics, 2005,41(9):2462-2469. doi: 10.1109/TMAG.2005.854337
[8]	J B Wang, K Atallah, R Chin , et al. Rotor eddy-current loss in permanent magnet brushless AC machines[J]. IEEE Transactions on Magnetics, 2010,46(7):2701-2707. doi: 10.1109/TMAG.2010.2042963
[9]	F Dubas, A Rahideh . Two-dimensional analytical permanent-magnet eddy current losses calculation in slotless PMSM equipped with surface-inset magnets[J]. IEEE Transactions on Magnetics, 2014,50(3):54-73. doi: 10.1109/TMAG.2013.2285525
[10]	K Yamazaki, N Fukushima . Torque and loss calculation of rotating machines considering laminated cores using post 1-D analysis[J]. IEEE Transactions on Magnetics, 2011,47(5):994-997. doi: 10.1109/TMAG.2010.2089501
[11]	H Vansompel, P Sergeant, L Dupre . A multiplayer 2-D -2-D coupled model for eddy current calculation in the rotor of an axial flux PM machine[J]. IEEE Transactions on Energy Conversion, 2012,27(3):784-791. doi: 10.1109/TEC.2012.2192737
[12]	K Yamazaki, Y Kanou . Rotor loss analysis of interior permanent motors using combination of 2-D and 3-D finite element method[J]. IEEE Transactions on Magnetics, 2009,45(3):1772-1775. doi: 10.1109/TMAG.2009.2012817
[13]	J Li, D W Choi, C H Cho , et al. 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. doi: 10.1109/TMAG.2011.2158200
[14]	X H Fu, D Xu, M Y Lin , et al. Calculation and analysis of rotor eddy current losses of permanent magnet induction hybrid excited synchronous generator[J]. IEEE Transactions on Magnetics, 2013,48(5):2389-2392.
[15]	S X Niu, S L Ho, W N Fu , et al. Eddy current reduction in hign-speed machines and eddy current losses analysis with multislice time-stepping finite element method[J]. IEEE Transactions on Magnetics, 2012,48(2):1007-1010. doi: 10.1109/TMAG.2011.2173915
[16]	J X Shen, H Hao, M J Jin , et al. Reduction of rotor eddy current losses in high speed PM brushless machines by grooving retaining sleeve[J]. IEEE Transactions on Magnetics, 2013,49(7):3973-3976. doi: 10.1109/TMAG.2013.2243408
[17]	S Y Oh, S Y Cho, J H Han , et al. Design of IPMSM rotor shape for magnet eddy current losses reduction[J]. IEEE Transactions on Magnetics, 2012,50(2):841-844. doi: 10.1109/TMAG.2013.2282473
[18]	S H Han, W L Soong, T M Jahns , et al. Reducing harmonic eddy-current losses in the stator teeth of interior permanent magnet synchronous machines during flux weakening[J]. IEEE Transactions on Energy Conversion, 2010,25(2):441-449. doi: 10.1109/TEC.2009.2033195
[19]	H B Ertan, K Leblebicioglu, B Avenoglu , et al. High-frequency loss calculation in a smooth rotor induction motor using FEM[J]. IEEE Transactions on Energy Conversion, 2007,22(3):566-575. doi: 10.1109/TEC.2006.881079
[20]	O Laldin, E Dlala, A Arkkio . Circuit models for predicting core losses in the stator and rotor of a caged induction machine with sinusoidal supplies[J]. IEEE Transactions on Magnetics, 2011,47(5):1054-1057. doi: 10.1109/TMAG.2010.2097582
[21]	A Stermecki, O Biro, I Bakhsh , et al. 3-D finite element analysis of additional eddy current losseses in induction motors[J]. IEEE Transactions on Magnetics, 2012,48(2):959-962. doi: 10.1109/TMAG.2011.2173919
[22]	Y H Gao, T Sanmaru, G Urabe , et al. Evaluation of stray load losses in cores and secondary conductors of induction motor using magnetic field analysis[J]. IEEE Transactions on Magnetics, 2013,49(5):1965-1968. doi: 10.1109/TMAG.2013.2245642
[23]	P Handgruber, A Stermecki, O Biro , et al. Three-dimensional eddy current losses modeling in steel laminations of skewed induction machines[J]. IEEE Transactions on Magnetics, 2013,49(5):2033-2036. doi: 10.1109/TMAG.2012.2236644
[24]	S Williamson, Y N Feng . Slot-harmonic fields in closed machines[J]. IEEE Transactions on Industrial Applications, 2008,44(4):1165-1171. doi: 10.3390/s19204356 pmid: 31600919
[25]	J Pyrhonen, T Jokinen, V Hrabovcova . Design of rotating electrical machines[M]. John Wiley & Sons, Ltd., 2008.

Harmonic order	Amplitude of forward-rotating tooth harmonic field/T
Harmonic order	Full-open slot	Semi-open slot
1st order	0.151	0.070
2nd order	0.085	0.060
3rd order	0.014	0.056
4th order	0.031	0.046
5th order	0.035	0.034
Total	0.188	0.186

	Rotor surface loss/W
	Analytical	FEM
Full-open slot	155.6	235.8
Semi-open slot	71.6	89.0
Original slot	0	48.2
Improved slot	0	14.1

Item	Specification
Rated power/kW	30
Rated voltage/V	380
Pole pairs	3
Connection type	Y
Outer diameter of stator/mm	590
Inner diameter of stator/mm	445
Outer diameter of rotor/mm	443.4
Core length/mm	68
Number of stator slots	54
Number of rotor slots	58