20 6 2016 6 Electri c Machines and Control Vol. 20 No. 6 Jun. 2016 1 1 2 1. 150001 2. 100044 Halbach Halbach Halbach DOI 10. 15938 /j. emc. 2016. 06. 010 TM 335 A 1007-449X 2016 06-0077- 10 Research on high speed slotless permanent magnet synchronous motor with a novel structure KOU Bao-quan 1 CAO Hai-chuan 1 Zhang Xiao-chen 2 1. School of Electrical Engineering and Automation Harbin Institute of Technology Harbin 150001 China 2. School of Electrical Engineering Beijing Jiaotong University Beijing 100044 China Abstract A high-speed slotless permanent magnet synchronous motor with a novel structure was proposed for problem that inductance in high-speed slotless motor is generally small. A novel slotless structure with integrated inductance which is composed of two parts that a novel slotless core and the back around winding was applied in stator and it could significantly increase leakage inductance of windings. The double layer Halbach array was applied in rotor to reduce the distortion of sinusoidal waveform of air gap flux density. Stator structure with integrated inductor was introduced and mechanism of the increase of the leakage inductance was analyzed. The analytical method of additional leakage inductance was obtained and the relation between additional leakage inductance and the measure of stator structure was analyzed. Structure and characteristics of double layer Halbach array was introduced. The characteristics of this novel motor and normal slotless motor were compared to verify advantage of increased leakage inductance. A prototype is manufactured and the effectivity of this novel motor was proved by experiment. Keywords integrated inductance back around winding double layer Halbach slotless high speed motor 2015-03 - 16 2013DFR60510 1968 1983 1982
78 20 0 Halbach 13 - high speed 15 permanent magnet synchronous motor HS-PMSM Halbach 1-4 HS-PMSM high speed slotless permanent magnet synchronous motor HSS-PMSM HSS-PMSM 5 Halbach HS-PMSM 1 HSS-PMSM HS-PMSM HS-PMSM 6-7 LC 1 HSS-PMSM 8 PWM Fig. 1 Structure of the novel HSS-PMSM 9 1. 1 10-11 1 HSS-PMSM 12 4 24 1 /4 2 4 24 1 2 a A A 1 Halbach A'
6 79 A 2 2 2 b 3 a 3 b T 1 h u h t R t θ u θ d α u α d Halbach 16 Fig. 2 2 Scheme of the back around winding 3 Halbach Fig. 3 Scheme of rotor with double layer Halbach array 2 b 17 1 2 1. 2 Halbach Halbach T 1 T 2 2 m NK dp1 2 l ef L = 2μ 0 1 π 2 p δ ef m N K dp1 p l e f δ ef HSS-PMSM 4 I c Ψ Coil L = 2p Ψ Coil 2 I c 4
80 20 Ψ Coil = Ψ s + Ψ σ 3 Ψ s Ψ σ Fig. 4 4 Flux linkage of back around winding μ Fe = Ψ s Ψ σ 1 2 L = 2p Ψ s + Ψ σ I c = 2p Ψ s I c + 2p Ψ σ I c = L s + 4 L s 5 A 1 ~ A 8 A 1 ~ A 4 A 5 ~ A 8 3 HSS-PMSM Halbach HSS-PMSM 1 Table 1 Main parameters of prototype motor /kw 5 /mm 50 / r /min 15000 /mm 26 /V 380 N38UH 3 24 2 12 /mm 114 12 /mm 70 192 /mm 126 /mm 11 /mm 10 /mm 1. 4 /mm 8 /mm 5 /mm 1 /mm 18 /A 8. 5 /mm 9 Fig. 5 L s1 = 0. 152 mh M s0 = 0. 069 mh 3. 1 4 5 Change of topology of back around winding
6 81 θ 1 - θ 2 G = μ 0 l ef 7 12 6 b A1 6 S G = μ 0 L 5 G S L 1 = μ 0l ef π ln r 2 r 1 6 a θ = π r 1 = b 0 /2 A1 r 2 1. 5 r 2 = 1. 5πD so /12 D so l ef 6 b 18 8 Fig. 7 7 Parameters of two types of flux tubes Fig. 6 h 0 G 3 = μ 0 l ef 11 b 0 G σ = G 1 + G' 1 + G 2 + G 3 12 6 4 Distribution of leakage flux in outer slot 12 = 4N 2 s G σ 13 6 b 3 A1 A1' 7 a A2 A3 7 a 6 b A1' 6 G' 1 = 6μ 0l ef 5π ln r' 2 9 r 1 A1' θ = 5π /6 r' 2 r' 2 = b s /4 6 b A2 θ 1 = π θ 2 = 0 7 π G 2 = 2μ 0 l ef 12 10 6 b A 3 5 N s N s = 24 7 b 3. 2 r 2 μ G = 0 l ef r 1 rθ dr = μ 0l ef θ ln r 2 b 6 0 r 1 h 0 b 0 h 0 7 b
82 20 finite element method FEM 8 h 0 b 0 b 0 b 0 h 0 h 0 4 1% 19 10 Fig. 8 8 Added leakage inductance by analysis Fig. 10 Size parameters of end winding 9 a A a b c 20 disc = 0. 1N 2 s ap' 14 h 0 = 5 mm P' c /2a c /b h 0 = 1. 4 mm FEM 20 9 b disc = 8. 267 μh 2 4 9 11 Fig. 9 Relationship of current and added α u α d B rm1 leakage inductance L s1 L s1 10 α u = 0. 3 α d = 0. 7 10 L end = 4disc = 0. 033mH 5 Halbach Halbach R t = 0. 3 α u α d B rm1 THD B 21 THD B α u = 0. 3 α d = 0. 7 B rm1 THD B
6 83 Halbach α u = 0. 31 α d = 0. 8 12 a THD B 0. 50% 6. 1 12 b h 0 = 5 mm 203. 81 V b 0 = 1. 4 mm = 2. 028 mh 2 11 L d L q 22 Fig. 11 Relationship of characteristics of air-gap L d = L s0 + M s0-3 /2L s2 magnetic field and parameters of PM array 15 L q = L s0 + M s0 + 3 /2L s2 } Fig. 12 12 L q /mh 2. 282 0. 248 Optimum waveform of air-gap flux density and phase EMF 13 THD B 2% Halbach = 0. 7 THD B 13 Fig. 13 α d Halbach THD B Comparison of THD B of two type of Halbach array 6 L s1 13 88 mm SIMU- LINK SVPWM 8 khz L s0 = L s1 + + L end Table 2 2 Coil parameters of two prototype R s /Ω 0. 288 0. 183 L d /mh 2. 282 0. 248 Ψ f /Wb 0. 0907 0. 0907 p 2 2 L Halbach s2 = 0 L THD B α d = L q = L s1 + + L end + M s0 16 SIMULINK 14 14 c
84 20 2. 026 mh 2. 028 mh - 1. 08% ~ 0. 74% 14 Fig. 14 Comparison of two prototypes 15 Fig. 15 Prototype of HSS-PMSM with outer slot 6. 2 HSS-PMSM HSS-PMSM 15 15 b 15 c 15 d 2 Ametek A f Yokogawa WT1600 U I φ 2 16 3 = 1 2πf f U I sinφ 17 A 17 18 a Fig. 16 16 Measurement of leakage inductance
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