14 12 2010 12 ELECTRI C MACHINES AND CONTROL Vol. 14 No. 12 Dc. 2010 1 2 2 1. 430073 2. 430074 TM 351 A 1007-449X 2010 12-0096- 05 Novl rotor position dtction mthod of lin back EMF for BLDCM LI Zi-chng 1 CHENG Shan-mi 2 QIN Yi 2 1. School of Elctrical and Information Enginring Wuhan Institut of Tchnology Wuhan 430073 China 2. Dpartmnt of Control Scinc and Enginring Huazhong Univrsity of Scinc and Tchnology Wuhan 430074 China Abstract According to th snsing thory of traditional back lctromotiv forc EMF a novl rotor position dtction schm was proposd for brushlss DC motors BLDCM snsorlss control basd on th zro-crossing of simplifid lin back EMF. Th points of zro-crossing of thr lin back EMFs ar obtaind from th calculation in ral tim by masuring two lin voltags and two phas currnts of BLD- CM and utilizing th stator rsistanc. Basd on this schm it is asy to raliz snsorlss control for BLDCM drivs. Th proposd mthod is simpl to implmnt and convnint to calculat without rconstructing th motor nutral and phas dlay compnsation is also not ndd. Manwhil th variation of th stator rsistanc has littl influnc on th stimation rror of rotor position. Simulation and xprimntal rsults show that th proposd schm can stimat th rotor position accuratly in wid spd rang. Ky words back lctromotiv forc position masurmnt brushlss DC motors lctric commutation snsorlss control 0 1 6 2009-02 - 11 1977 1966 1945
12 97 2-3 4-5 2 6 7 Fig. 2 Idal back EMF and currnt wavforms G 10 G 8 u a R 0 0 u b = 0 R 0 i 8 b + d L 0 0 0 L 0 i dt b + uc 0 0 R ic 0 0 L ic a u n b + u n 1 c un u a u b u c i a i b i c a b c 1 u n 1. 1 1 a = u a - Ri a - Ldi a /dt - u n 6 b = u b - Ri b - Ldi b /dt - u n 2 c = u c - Ri c - Ldi c /dt - u n 6 1 Y 30 n 2 30 9 6 1. 2 2 ab = a - b = u ab - R i a - i b - L d i a - i b /dt bc = b - c = u bc - R i b - i c - L d i b - i c /dt ca = c - a = u ca - R i c - i a - L d i c - i a /dt 1 Fig. 1 Main circuits of BLDCM i a R L i a 3 2
98 14 bc c b c b E bc = u bc + Ri c 7 11 a = E sinωt + k 3 sin3ωt + k 5 sin5ωt + b = E sin ωt - 2π /3 + k 3 sin3 ωt - 2π /3 + k 5 sin5 ωt - 2π /3 + ca = u ca - Ri c c = E sin ωt + 2π /3 + k 3 sin3 ωt + 2π /3 + bc = u bc - Ri b 8 k 5 sin5 ωt + 2π /3 + ab = u ab - Ri a 4 8 ca = u ca + Ri a ca = 槡 3Ecos ωt + π /3 bc = u bc + Ri c 9 ab = u ab + Ri b bc = 槡 3Ecos ωt - π 5 6 ab = 槡 3Ecos ωt - π /3 360 ωt 30 90 150 210 270 330 3 0 2 6 Matlab /SIMULIMK 6 1. 3 R = 2. 8 Ω 3 L = 6. 9 mh 4 ON - PWM 3 3 500 r /min R L bc s b s h 3 a b c 2 30 90 5 bc 90 bc = b - c = ( ) u bc - R i b - i c - L di b dt - di c dt bc 2 R L b c b c b c i b i c L c bc 3 500 r /min ON - PWM HP- Fig. 3 Simulation wavforms at 500 r / min WM - LPWM bc = u bc - Ri b 6 200 r /min 0. 5s 50 r /min4 bc s b
12 99 s h n 180 W 220 V 3 8 000 r /min 4 0. 94 A 4 u ab u bc 3 u ca i a i b i c 6 7 500 r /min 100 r /min bc s h s b 4 Fig. 4 200 r /min 50 r /min Simulation wavforms from 200 r /min to 50 r /min 5 500 r /min 4 5 500 r /min Fig. 5 Impact of th rsistanc variation at 500 r /min 3 dspic30f6010 4 PWM
100 14 ON - PWM 6 SHAO Jianwn NOLAN D HOPKINS T. A novl microcontrollrbasd snsorlss brushlss DC BLDC motor driv for automotiv fu- 80 ~ 3 000 r /min l pumps J 1. lctronics 2004 19 6 1635-1645. J. 2008 12 6 729-733. LIU Changzhng YE Guiyun CHEN Dyun t al. Dsign and ralization of variabl frquny tuning vlocity systm of snsorlss BLDCM J. Elctric Machins and Control 2008 12 6 729-733. 2 JANG G H KIM M G. Optimal commutation of a BLDC motor by utilizing th symmtric trminal voltag J. IEEE Transactions on Magntics 2006 42 10 3473-3475. 3. 1297. J. 2008 12 3 248-253. CAO Jianbo CAO Binggang XU Png t al. Rsarch on torqu rippl minimization of position snsorlss brushlss DC motor J. Elctric Machins and Control 2008 12 3 248-253. 11 LI Zichng CHENG Shanmi QIN Yi t al. A novl lin-to- 4. lin back EMF calculation for snsorlss brushlss DC motor J. 2006 21 10 26-30. drivs C / /Procdings of th 11 th Intrnational Confrnc on ZHANG Li QU Wnlong LU Haifng t al. A novl snsorlss Elctrical Machins and Systms 17-20 Oct 2008 Wuhan control systm of brushlss DC motors J. Transactions of China China. 2008 1406-1411. Elctrochnical Socity 2006 21 10 26-30. 5 SU G J MCKEEVER J W. Low-cost snsorlss control of brushlss dc motors with improvd spd rang J. IEEE Transactions on Powr Elctronics 2004 19 2 296-302. 6 1734-1740.. IEEE Transactions on Industry Applications 2003 39 7 KIM T H EHSANI M. Snsorlss control of th BLDC motors from nar-zro to high spds J. IEEE Transactions on Powr E- 8. J. 2008 38 11 17-20. LI Zichng CHENG Shanmi CAI Kai. Estimation of rotor position of BLDC motor basd on lin-to-lin back-emf J. Elctric Driv 2008 38 11 17-20. 9 ZHOU Gnfu WU Zhigan YING Jianping. Unattnuatd BEMF dtction for snsorlss brushlss DC motor drivs C / /Procdings of th 4 th Intrnational Powr Elctronic and Motion Control Confrnc 14-16 Aug 2004 Shanghai China. 2004 1292-10 CHEN C H CHENG M Y. A nw cost ffctiv snsorlss commutation mthod for brushlss DC motors without phas shift circuit and nutral voltag J. IEEE Transactions on Powr Elctronics 2007 22 2 644-653.