Research on high speed slotless permanent magnet synchronous motor with a novel structure

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Άργος Σοφός Παυλόπουλος
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1 Electri c Machines and Control Vol. 20 No. 6 Jun Halbach Halbach Halbach DOI /j. emc TM 335 A X 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 China 2. School of Electrical Engineering Beijing Jiaotong University Beijing 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 DFR

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

2 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 HSS-PMSM / 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 6 79 A 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 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

~ 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

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 /mm 26 /V 380 N38UH /mm /mm /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 = mh M s0 = mh 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.

5 6 81 θ 1 - θ 2 G = μ 0 l ef 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 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 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 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.

4 mm FEM 20 9 b disc = 8. 267 μh 2 4 9 11 Fig.

6 82 20 finite element method FEM 8 h 0 b 0 b 0 b 0 h 0 h 0 4 1% 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 = μh 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 = L end = 4disc = mH 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.

7 6 83 Halbach α u = α d = a THD B 0. 50% b h 0 = 5 mm V b 0 = 1. 4 mm = 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 L q /mh 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 s mm SIMU- LINK SVPWM 8 khz L s0 = L s1 + + L end Table 2 2 Coil parameters of two prototype R s /Ω L d /mh Ψ f /Wb p 2 2 L Halbach s2 = 0 L THD B α d = L q = L s1 + + L end + M s0 16 SIMULINK c

2 HSS-PMSM HSS-PMSM 15 15 b 15 c 15 d 2 Ametek A

8 mh mh % ~ 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 b 15 c 15 d 2 Ametek A f Yokogawa WT1600 U I φ = 1 2πf f U I sinφ 17 A a Fig Measurement of leakage inductance

6 85 18 b 14 a Fig. 19 19 Curve of torque and speed by experiment 7 Fig. 17 17 obtained by experiment 1 Halbach 2 3 Halbach Halbach 4 Fig. 18 18 Current obtained by experiment 19 18 a 1. J.

9 b 14 a Fig Curve of torque and speed by experiment 7 Fig obtained by experiment 1 Halbach 2 3 Halbach Halbach 4 Fig Current obtained by experiment a 1. J KONG Xiaoguang WANG Fengxiang XING Junqiang. Losses calculation and temperature field analysis of high speed permanent magnet machines J. Transaction of China Electrotechnical Society CHO H W KO K J CHOI J Y et al. Rotor natural frequency in high-speed permanent magnet synchronous motor for turbo- compressor application J. IEEE Transactions on Magnetics J JI Li XU Longxiang. Sensorless control of high speed permanent

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