3 9 1 V α = R s + pl α pl αβ α - snθ r + ωλ m V pl β αβ R s + plβ β cosθ r 1 V λ L α β α β R s p ω λ m θ r 3 V αs s 8 N /S V αs p λ α s λ β λ α λ 5 -

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1 ELECTRI C MACHINES AND CONTROL Vol. 1 No. 3 Mar q N /S N /S TM 351 A 17-9X Intal rotor poston nspecton of PMSM base on rotatng hgh frequency voltage sgnal njecton ZHOU Yuan-jun CAI Mng-fe Department of Automatc Scence & Electrcal Engneerng Behang Unversty Bejng 1191 Chna Abstract A new approach to estmate the ntal rotor poston when permanent magnet synchronous motor PMSM s stanstll s propose. The approach propose to mprove the conventonal rotatng hgh frequency voltage sgnal njecton metho n the arthmetc. The poston of -axs can be faster an more accuratly calculate than the tratonal metho. In orer to resolve the problem n etectng the polarty of the rotor magnet of the tratonal metho a new scheme was also presente. Base on the non-lnear magnetc saturaton effect an the Taley seres n the -axs rotor reference frame the N /S polarty can also be acqure. The smulaton results show the feasblty an effectveness of the propose approach n a we spee range nclung stanstll. Key wors permanent magnet synchronous motor ntal rotor poston rotatng hgh frequency njecton non-lnear magnetc saturaton effect N /S polarty

2 3 9 1 V α = R s + pl α pl αβ α - snθ r + ωλ m V pl β αβ R s + plβ β cosθ r 1 V λ L α β α β R s p ω λ m θ r 3 V αs s 8 N /S V αs p λ α s λ β λ α λ 5 - β = L - ΔLsn θ r - ΔLsn θ r - ΔLsn θ r L - ΔLsn θ r α β PMSM - q 3 V α - sn ω 7 t = V s cos ω t λ α V λ β α t = V s cos ω t ω sn ω t α β I cos ω t + I 1 cos θ r - ω t I sn ω t + I 1 sn θ r - ω t I N /S = V s L ω L - ΔL I 1 = V s ΔL ω L - ΔL L = L + L q 1 ΔL = L - L q 1 L ΔL q B b Z 1 S 茁 A 棕 Y N X C 兹 r Fg. 1 The moel of the PMSM 琢 a α-β α β BPF V s ω λ α λ β L α L β α β α-β L q > L 9 L q = L α β cos ω t θ r

3 7 1 I αβ = α β = I I 1 sn θ r 7 α = - V s 7 ω λ m sn θ r - ω t cos θ r L ΔL I αβ θ r I αβ 7 I αβ = KI I 1 sn θ r K 8 3 N/S 琢 8 N /S 3 Fg. 3 The way to extract the nformaton about the polarty λ - Λ m L + 1 λ m λ - Λ m 9 λ m > m abc BPF αβ Fg. 姿撰 m 线性饱和高频信号注入 The relatonshp of -axs flux lnkage wth -axs stator current N /S + 1 L V +t L V -t - 1 λ λ m ( V + ) m ( V - ) t t 1 1 N /S α-β N /S Matlab /SIMU- LINK β = - V s m sn θ r - ω t sn θ r ω λ pol = - V s ω λ m cos θ r - ^θr } 1 7 ^θ r = θ r + kπ k = N k = - S k = 1 N /S 茁 cos( 兹赞 r) sn( 兹赞 r) LPF LPF + - N /S PWM 7 I αβ I αβ LPF 8 abc 3 1 N /S 8 1 Fg. 高频电流信号高频电流信号处理 Va Vb Vc BPF 琢茁 PWM 逆变器坐标变换转子轴位置计算电流采样 PMSM N S 完成转子初始位置检测琢坐标变换茁 NS 极性提取 NS 极性判别 PMSM Implementaton of the ntal rotor poston etecton 5

4 3 71 PMSM 1 khz K ~ khz 5 1 /5 ~ 1 /8 仔 N/S 极 + KI I 1. 1 ~ A Hz 1 ra /s 3 V 1 Table 1 The parameters of the PMSM /Hz /Ω. 5 /mh 3. 5 q /mh 8. 5 /Wb. 175 Fg. 5 I 琢茁 arcsn 1/ 兹 r 兹 r,18 兹赞 r The flow of ntal rotor poston calculaton α-β I αβ ^θr Δθ r N /S 3 ms. 1 ra pol 驻兹 r/ra 兹赞 /ra I 琢茁 1-3 pol 驻兹 r/ra 兹赞 /ra I 琢茁 %%%%%%%%.%%%%%%%.8%%%%%%.1%%%%%%%.1%%%%%%. (a) %ra %%%%%%%%.%%%%%%%.8%%%%%%.1%%%%%%%.1%%%%%%. () 仔 ra pol 驻兹 r/ra 兹赞 /ra I 琢茁 pol 驻兹 r/ra 兹赞 /ra I 琢茁 %%%%%%%%%.%%%%%%%.8%%%%%%%.1%%%%%%%.1%%%%%%. (b) 仔 ra %%%%%%%%%.%%%%%%%.8%%%%%%%.1%%%%%%%.1%%%%%%. (e) 3 仔 ra pol 驻兹 r/ra 兹赞 /ra I 琢茁 pol 驻兹 r/ra 兹赞 /ra I 琢茁 %%%%%%%%%.%%%%%%%.8%%%%%%%.1%%%%%%%.1%%%%%%. (c) 仔 ra %%%%%%%%%.%%%%%%%.8%%%%%%%.1%%%%%%%.1%%%%%%. (f) 11 仔 ra Fg. The smulaton result of ntal rotor poston base on rotatng hgh-frequency njecton 7 5% 3 r /mn. 5 ra 7. 5 s

7 1 兹 r 实际值兹 r 计算值驻兹 r 差值 8 8 - -. -. -. %%%%%.5%%%%.1%%%%.15%%%%%.%%%%.5%%%%.3%%%%.35%%%%. 7 1 5-5. Fg. 7 The compare between the actual poston an the calculate poston. J. 3 1-13.

5 7 1 兹 r 实际值兹 r 计算值驻兹 r 差值 %%%%%.5%%%%.1%%%%.15%%%%%.%%%%.5%%%%.3%%%%.35%%%% Fg. 7 The compare between the actual poston an the calculate poston. J LIANG Yan LI Yongong. Intal rotor poston estmaton for the sensorless vector control of PMSMs J. Electrotechncal Journal J /3 1 / 5% estmaton of an nteror permanent magnet synchronous machne u- sng carrer frequency njecton methos J. IEEE Trans on Inustry Applcatons ERTUGRUL N ACARNLEY P. A new algorthm for sensorless operaton of permanent magnet motors J. IEEE Trans on Inustry Applcatons J. PMSM REN Le PMSM wnngs nuctance J 3. J SHI Jan TANG Nngpng TAN Chao. New metho for sensorless control of PMSM J. Electrc Machnes an Control JH Jang SK Sul JI Ha. Sensorless rve of surface mounte permanent-magnet motor by hgh-frequency sgnal njecton base on magnetc salency J. IEEE Trans on IA JIA Hongpng HE Ykang. Stuy on nspecton of the ntal rotor poston of a PMSM base on hgh-frequency sgnal njecton J. Proceengs of the CSEE JI Ha M Ohto JH Jang et al. Desgn an selecton of AC machnes for salency-base sensorless control C / /IEEE IAS Pttsburgh Pennsylvana USA J WANG Lme ZHENG Janfen GUO Qngng. Sensorless control of salent-pole permanent magnet synchronous motor base on carrer sgnal njecton J. Electrc Machnes an Control CUI Ruhua WANG Zongpe et al. Saturaton effect of. Transactons of Chna Electrotechncal Socety JEONG Y LORENZ R D JAHNS TM et al. Intal rotor poston

T e = K 1 Φ m I 2 cosθ K 1 Φ m I cosθ 2 1 T 12 e Φ / 13 m I 4 2 Φ m Φ m 14 I 2 Φ m I 2 15 dq0 T e = K 2 ΦI a 2 16

T e = K 1 Φ m I 2 cosθ K 1 Φ m I cosθ 2 1 T 12 e Φ / 13 m I 4 2 Φ m Φ m 14 I 2 Φ m I 2 15 dq0 T e = K 2 ΦI a 2 16 23 5 2018 10 Vol. 23 No. 5 JOURNAL OF HARBIN UNIVERSITY OF SCIENCE AND TECHNOLOGY Oct. 2018 150080 αβ0 MT0 ABC DOI 10. 15938 /j. jhst. 2018. 05. 009 TM351 A 1007-2683 2018 05-0046- 08 Indcton Motor Hybrd