21 5 2017 5 Electri c Machines and Control Vol. 21 No. 5 May 2017 110870 Bertotti 5 kw 3 000 r /min DOI 10. 15938 /j. emc. 2017. 05. 007 TM 315 A 1007-449X 2017 05-0051- 07 No-load iron loss of permanent magnet synchronous motors TONG Wen-ming SUN Jing-yang DUAN Qing-liang ZHU Long-fei CHEN Ping National Engineering Research Center for Rare Earth Permanent Magnet Machines Shenyang University of Technology Shenyang 110870 China Abstract The no-load iron losses of permanent magnet synchronous motors PMSMs were classified in detail on the basis of its origin. The finite element method and the Bertotti s iron loss model were adopted to calculate the iron losses of PMSM. The distribution characteristics of no-load iron losses were calculated in detail and analyzed by taking a 5 kw 3 000 r / min PMSM as an example. The proportional relationship between the basic iron loss and the no-load stray loss were obtained and the distribution regularities of the no-load stray loss under different factors were also gained. Harmonic losses produced in PMSM by current harmonics generated by the frequency converter were studied. Without changing the basic parameters of the motor the harmonic losses in PMSMs were analyzed under different pole and slot combinations. Finally through the no-load iron loss test of several prototype motors the results verify the feasibility of the calculation method. Keywords permanent magnet synchronous motor finite element method iron loss harmonic loss permanent magnet loss 2015-07 - 01 51307111 51677122 2016YFB0300503 1984 1991 1988 1988 1987
52 21 0 5 kw 3 000 r /min 1 1. 1 1 1 55 kw 2 2 1 2 20 000 r /min 3 4 3 4 5. 5 kw 4 5 5 6 6 7 7 8 IEC60034-2 - 1 9-10 1. 2 11
5 53 1 14 2 1 P h = k p k h k B # νf B α h νrm + B α h νθm 4 ν = 1 P e = k p k e # ν 2 f 2 B 2 νrm + B 2 νθm 5 ν = 1 P 12 h P e k h k e ν f k p B K p = 0. 89 + 3. 0 /W 1 νrm B νθm ν W mm 4 2 a 1 2 b 2 1 3 ~ 5 13 k B = 1 + k m e α ΔB h ( mξ ξ = 1 B ) 2 k B k m 0. 65 ΔB mξ B m e m α h P Fe = P h + P e 3 Fig. 2 2 Iron core division and sampling point distribution 3 1 Fig. 1 Typical flux density waveform in PM motor
54 21 2 2 5 3 a 3 6 4 7 3 b 2 5 kw Table 2 Iron loss calculation results of a 5 kw PMSM powered by sinusoidal voltage /W Fig. 3 66. 91 3 1 30. 83 Calculation models for losses in permanent 2 22. 13 magnets and structural components 3 1. 23 1. 3 5 kw 6 0. 005 7 0. 014 1 1 1 5 kw 68. 46% 31. 54% 2 1 Table 1 1 Parameters of the prototype /kw 5 / r min - 1 3 000 / 36 /8 35W270 /mm 174 /mm 120 4 0. 28 5 0. 49 56% 2 40. 3% 5 6 4 7 1. 4 3 2. 1 1 2 5 1 ~ 53. 2 W 96. 8% 7 2. 2 3 6 5 1. 5 W 2. 7%
5 55 0. 05% 2 2. 1 2. 2 123 mm 110 mm 1. 5 mm 8 9 8 12 8 24 8 36 Fig. 4 4 Harmonic loss distribution 5 4 6 4 8 9 8 24 8 9 4 75. 83 W 70. 4% 8 24 34. 36 W 48. 4% 8 9 Fig. 5 5 No-load current waveform powered by inverter 4 148. 62 W 6 Fig. 6 Harmonic losses of motors with different 1. 2 pole-slot combinations 60. 3% 37. 5% 3
56 21 3. 1 4 Table 4 Iron loss comparison between calculation 3 4 results and tested results powered by sinusoidal voltage 35W270 / /kw Hz /W Table 3 3 Parameters of tested motors / /kw /mm /mm /Hz /mm 3. 5 174 120 100 8 /36 2 4. 5 174 160 100 8 /36 2 5 174 120 200 8 /36 2 11. 5 174 205 200 8 /36 2 4 /W /W 3. 5 100 27. 31 22. 31 54. 02 1. 09 4. 5 100 34. 08 27. 59 65. 04 1. 05 5 200 66. 91 54. 36 128. 02 1. 06 11. 5 200 106. 49 87. 16 203. 21 1. 05 3. 2 P adt P adt = P 0PWM - P 0 - P cupwm - P cu0 7 P 0PWM P cupwm GB /T 25442-2010 k ad P adt 3 4 7 5 22 kw DTC 4 khz 4 P Fe0t = P 0 - P Cu0 - P fw 6 1. 08 ~ 1. 37 P Fe0t P 0 1. 2 P Cu0 P fw 5 Table 5 Harmonic loss comparison between calculation results and tested results /Hz /kw /W /W K ad 3. 5 100 29. 93 32. 45 1. 08 4. 5 100 114. 86 156. 82 1. 37 5 200 148. 62 166. 24 1. 12 11. 5 200 263. 25 328. 25 1. 25 7 Fig. 7 Test platform 4 5 kw 3 000 r /min 4 4 1. 05 ~ 1. 09 1 2 ~ 2. 5
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