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1、2011 The 6th International Forum on Strategic Technology Simulation Study on a DTC System ofPMSM Krishnan Vijayaraghavan,* Desa Ahmad Department of Biological Flux linkage estimation; DTC; SVPWM I. INTRODUCTION In last
2、 few years penn anent magnet synchronous motor (PMSM), consequently is acquired in more and more farranging application, because of its properties such as small volume, light weight, high efficiency, small inertia
3、, rotor without heat problem, etc. [I]. Direct Torque Control (DTC) is a new control method after vector control. It abandons decoupling thought of vector control, and uses the stator flux linkage directly to control the
4、 flux linkage and the torque of motor. Thus the dynamic response of the system is very fast[2]. The DTC control strategy is applied for PMSM in order to improve the torque characteristics of the motor, which curre
5、ntly has caused the extensive attention of people. The traditional DTC usually adopts bang-bang control strategy to implement. But this control strategy can't meet the system requirements both of torque and flux link
6、age at the same time, which leads to large fluctuations of flux linkage and torque generated by system and leads to the problem of pulse current and switching noise caused by higher switching frequency changes. Space Vec
7、tor Pulse Width Modulation (SVPWM) control strategy has been widely used in the field of motor speed control, due to its potential advantages, such as small current waveform distortion, high utilization of DC voltage, e
8、asy-to-digital implementation, constant switching frequency of inverter, effectively to reduce pulsation of the motor torque and flux linkage, etc. The object studied in this paper is the permanent magnet synchronous. I
9、n application, the DTC strategy, which based on the SVPWM, is adopted to simulate. The result shows that the system has the advantage of fast response, good dynamic performance and so on[3] [4]. Identify applicable spons
10、or/s here. If no sponsors, delete this text box. (sponsors) 978-1-4577-0399-7111/$26.00 ©2011lEEE 564 11. THE TECHNOLOGY OF DIRECT TORQUE CONTROL FOR PMSM Stator flux linkage of PMSM is not only including the one
11、 generated by stator current, but also including the one generated by permanent magnet rotor, which depends on ()r the position angle between the stator and rotor reference frame. Therefore stator flux linkage can be ex
12、pressed as follow: (I) Where subscript s is static reference coordinate system, L, IS the stator self-inductance, lj/ PM is the rotor pennanent magnet flux linkage. The PMSM stator voltage equation base on stator refere
13、nce frame can be expressed as following equation: Hence, R. dlj/, u,“ = ,.I, + --'“ “ “ dt (2) According to coordinate transfonnation fonnula, the vectors convert from static coordinate to rotating coordina
14、te as follow: (4) Substituting formula (1) and formula (3) into (4), we get expressions of stator flux linkage and stator voltage in rotating coordinate system: lj/“ = LJ,r + lj/ PM R . d (LJsJ . (L' ) Usr =
15、slsr + dt + } OJr slsr + lj/ PM (5) (6) August 22-24,2011 of torque loop. Then take torque deviation b.Te as input value, torque loop PI controller outputs d8 the correction value of 8 , which is the angle between lf
16、I PM and lfI. , .. U,d and U,q the components of u, in the d-q axis can be estimated by d8, lfIsd and lfI,q . SVPWM control signals can be generated through inverse Park transformation with U,d and U,q , and then driv
17、e permanent magnet synchronous motor[5] [6]. Tn the figure 2, flux linkage estimator can be expressed as: (17) lfI WJ 8 = arctan _.-lfIsd Torque estimator can be expressed as: (18) * T/ Wr !1Te d6 Voltage estimato
18、r can be expressed as: (19) Where, dt is flux linkage sampling time, lfI:r is the given value of torque stator flux linkage. In addition, {d lfIsd : lfI:r c.os( 8 + d 8) ? IlfI'T I ?os 8d lfI,q - lfIsr sm( 8 +
19、d 8) IlfI,r I sm 8 (20) To reduce the computation, d lfIsd ' d lfIsq can be expressed as: ?sr* *ljIsd = ljI.IT -I-Icos U --I-ISIll U -ljIsd ljIsr ljIsr (21) jd * (ljI sd d 5:: ljI.lq . d 5::) dljl,q
20、 = ljI:r (l ljISq l cosd5 + I ljI sd l sind5) -ljI“J ljI sr ljI sr Usa inverse Park 1---+ ---. lhree- ? ? PI f“i'\ PI Voltage Hstimator Usq l'ran.?f(Jrmation Usfi SV1'WM ---. phase + r>
21、39; + 1---+ inverter ---. - -Wr t Wr Te Br !f,·d isd -? iso. ia ?I- Park Clarke ? ? l'orque ?sq Flux Linkage i l'ran?f() isjJ Transfur ib l!.:?'timator Hstimator mation ? ...:.:!..
22、nnat10n t + -,---- PMSM d D-- -dt Br Hncoder '--Figure 2. Structure diagram of the PMSM based on DTC B. Simulation Model SimPowerSystem module library of Matlab7.0 is used in this paper. The simulation model of
23、 DTC System with PMSM is built, based on the above analysis of mathematical model. System simulation model is shown in figure 3. A rotating magnetic field will be generated when applying three-phase symmetric current in
24、three-phase symmetric winding of PMSM. 566 isd and i,q' the components of i, in the d-q aXIS, can be obtained from the phase curent sampling values ia and ib, through Clark coordinate transformation and Park coordina
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