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1、电气专业毕业设计外文翻译 外文翻译 English Control of Induction Machine Drives 11.1 Introduction 11.2 Scalar Induction Machine Control 11.3 Vector Control of Induction Machines 11.3.1 Vector Formulation of the Induction Machine 11.3.2 Induction Machine Dynamic Model 11.3.3 Field-Oriented Control of the Induction Mac
2、hine 11.1 Introduction Induction machines have become the staple for electromechanical energy conversion in todays industry; they are used more often than all other types of motors combined. Several factors have made them the machine of choice for industrial applications vs. DC machines, including t
3、heir ruggedness, reliability, and low maintenance . The cage-induction machine is simple to manufacture, with no rotor windings or commutator for external rotor connection. There are no brushes to replace because of wear, and no brush arcing to prevent the machine from being used in volatile environ
4、ments. The induction machine has a higher power density, greater maximum speed, and lower rotor inertia than the DC machine. The induction machine has one signicant disadvantage with regard to torque control as compared with the DC machine. The torque production of a given machine is related to the
5、cross-product of the stator and rotor ux-linkage vectors . If the rotor and stator ux linkages are held orthogonal to one another, the electrical torque of the machine can be controlled by adjusting either the rotor or stator ux-linkage and holding the other constant. The eld and armature windings i
6、n a DC machine are held orthogonal by a mechanical commutator, making torque control relatively simple. With an induction machine, the stator and rotor windings are not xed orthogonal to one another. The induction machine is singly excited, with the rotor eld induced by the stator eld, further compl
7、icating torque control. Until a few years ago, the induction machine was mainly used for constant-speed applications. With recent improvements in semiconductor technology and power electronics, the induction machine is seeing wider use in variable-speed applications . This chapter discusses how thes
8、e challenges related to the induction machine are overcome to effect torque and speed control comparable with that of the DC machine. The rst section involves what is termed volts-per-hertz, or scalar, control. This control method is derived from the steady-state machine model and is satisfactory fo
9、r many low-performance industrial and commercial applications. The rest of the chapter will present vector-controlled methods applied to the induction machine. These methods are aimed at bringing about independent control of the machine torque- and ux-producing stator currents. Developed using the d
10、ynamic machine model, vector-controlled induction machines exhibit far better dynamic performance than those with scalar control. 11.2 Scalar Induction Machine Control Induction machine scalar control is derived using the induction machine steady-state model shown in Fig. 11.1. The phasor form of th
11、e machine voltages and currents is indicated by capital letters. The stator series resistance and leakage reactance are R1andX1, respectively. The referred rotor series resistance and leakage reactance areR2andX2, respectively. The magnetizing reactance isXm; the core loss due to eddy currents and t
12、he hysteresis of the iron core is represented by the shunt resistanceRc.The machine slip s is dened as ： s=we-wr wewhere weis the synchronous, or excitation frequency, and wr is the machine shaft speed, both in electrical radians-per-second. The power supplied to the machine shaft can be expressed a
13、s Pshaft=1-sR2i22 sSolving for i2 and using Eq. (6-2), the shaft torque can be expressed as Te=22 we(sR1+R2)+s2(X1+X2)3|Vin|2R2swhere the numeral 3 in the numerator is used to include the torque from all three phases. This expression makes clear that induction machine torque control is possible by v
14、arying the magnitude of the applied stator voltage. The normalized torque vs. slip curves for a typical induction machine corresponding to various stator voltage magnitudes are shown in Fig. 11.2. Speed control is accomplished by adjusting the input voltage until the machine torque for a given slip
15、matches the load torque. However, the developed torque decreases as the square of the input voltage, but the rotor current decreases linearly with the input voltage. This operation is inefcient and requires that the load torque decrease with decreasing machine speed to prevent overheating. In additi
16、on, the breakdown torque of the machine decreases as the square of the input voltage. Fans and pumps are appropriate loads for this type of speed control because the torque required to drive them varies linearly or quadratically with their speed. Linearization of Eq. (6-3) with respect to machine sl
17、ip yields 23|Vin|2s3|Vin|(we-wr)Te= weR2we2R2The characteristic torque curve can be shifted along the speed axis by changing e with the capability for developing rated torque throughout the entire speed range given a constant stator voltage magnitude. An inverter is needed to drive the induction mac
18、hine to implement frequency control. One remaining complication is the fact that the magnetizing reactance changes linearly with excitation frequency. Therefore, with constant input voltage, the input current increases as the input frequency decreases. In addition, the stator ux magnitude increases
19、as well, possibly saturating the machine. To prevent this from happening, the input voltage must be varied in proportion to the excitation frequency. From Eq. (11.4), if the input voltage and frequency are proportional with proportionality constant kf ,the electrical torque developed by the machine
20、can be expressed as and demonstrates that the torque response of the machine is uniform throughout the full speed range. Te=3k2fR2(we-wr) The block diagram for the scalar-controlled induction drive is shown in Fig. 11.3.The inverter DC-link voltage is obtained through rectication of the AC line volt
21、age. The drive uses a simple pulse-width- modulated (PWM) inverter whose time-average output voltages follow a reference-balanced three-phase set, the frequency and amplitude of which are provided by the speed controller. The drive shown here uses an active speed controller based on a proportional i
22、ntegral derivative (PID), or other type of controller. The input to the speed controller is the error between a user-specied reference speed and the shaft speed of the machine. An encoder or other speed-sensing device is required to ascertain the shaft speed. The drive can be operated in the open-lo
23、op conguration as well; however, the speed accuracy will be reduced signicantly. Practical scalar-controlled drives have additional functionality, some of which is added for the convenience of the user. In a practical drive, the relationship between the input voltage magnitude and frequency takes th
24、e form |Vin|=kfwe+Voffset where Voffest is a constant. The purpose of this offset voltage is to overcome the voltage drop created by the stator series resistance. The relationship (11.6) is usually a piecewise linear function with several breakpoints in a standard scalar-controlled drive. This allow
25、s the user to tailor the drive response characteristic to a given application. 11.3Vector Control of Induction Machines The derivation of the vector-controlled (VC) method and its application to the induction machine is considered in this section. The vector description of the machine will be derive
26、d in the rst subsection, followed by the dynamic model description in the second subsection. Field-oriented control (FOC) of the induction machine will be presented in the third subsection and the direct torque control (DTC) method will be described in the last subsection. 11.3.1 Vector Formulation
27、of the Induction Machine The stator and rotor windings for the three-phase induction machine are shown in Fig. 11.4. The windings are sinusoidally distributed, but are indicated on the gure as point windings. If N0 is the number of turns for each winding, then the winding density distributions as fu
28、nctions of q are given by Na(q)=N0cos(q) 2pNq=Ncosq-() b0 32pNc(q)=N0cosq+3 whereqis the angle around the stator referenced from phase as-axis. The magnemotive force (MMF) distributions corresponding to (6-7) 、are ： Fas(t,q)=N0ias(t)cos(q) 2 Fbs(t,q)=N02pibs(t)cosq-23 Fcs(t,q)=N02pics(t)cosq+ 23Thes
29、e scalar equations can be represented by dot products between the following MMF vectors Fas(t)=N0ias(t)eas 2NFbs(t)=0ibs(t)ebs 2NFcs(t)=0ics(t)ecs 2and the unit vector whose angle with the as-axis is . The vectorseas，andecs ebs，represent unit vectors along the respective winding axes. All the machin
30、e quantities, including the phase currents and voltages, and ux linkages can be expressed in this vector form. The vectors along the three axes as, bs, and cs do not form an independent basis set. It is convenient to transform this basis set to one that is orthogonal, the so-called dq-transformation
31、, originally proposed by R. H. Park for application to the synchronous machine. Figure 11.5 illustrates the relationship between the degenerate abc and orthogonal qd0 vector sets. If f is the angle between iqs and ias , then the transformation relating the two coordinate systems can be expressed as
32、iqd0s=W(f)iabcscosf2=sinf312T2p2pcosf-cosf+332p2psinf-sinf+iabcs 331122ibsicsThe variable i0s is called the Twhere iqd0s=iqsidsi0s，iabcs=iaszero-sequence component and is obtained using the last row in the matrix W 3. This last row is included to make the matrix invertible, providing a one-to-one tr
33、ansformation between the two coordinate systems. This row is not needed if the transformation acts on a balance set of variables, because the zero-sequence component is equal to zero. The zero-sequence component carries information about the neutral the neutral point of the abc variables being trans
34、formed. If the set is not balanced, this neutral point is not necessarily zero. The constant multiplying the matrix of (11-16) is, in general, arbitrary. With this constant equal to as it is in (11-16), the result is the power invariant transformation. By using this transformation, the calculated po
35、wer in the abc coordinate system is equal to that computed in the qd0 system. If the anglef=0, the result is a transformation from the stationary abc system to the stationary qd0 system. However, transformation to a reference frame rotating at an arbitrary speedw is possible by dening f(t)=wdt 0tAs
36、will be seen later, the rotor uxoriented vector control method makes use of this concept, trans- forming the machine variables to the synchronous reference frame where they are constants in steady state . To understand this concept intuitively, consider the balanced set of stator MMF vectors of a ty
37、pical induction machine given in (11-13)、. It is not difcult to show that the sum of these vectors produces a resultant MMF vector that rotates at the frequency of the stator currents. The length of the vector is dependent upon the magnitude of the MMF vectors. Observing the system from the synchron
38、ous reference frame effectively removes the rotational motion, resulting in only the magnitude of the vector being of consequence. If the magnitudes of the MMF vectors are constant, then the synchronous variables will be constant. Transients in the magnitudes of the stationary variables result in tr
39、ansients in the synchronous variables. This is true for currents, voltages, and other variables associated with the machine. 11.3.2 Induction Machine Dynamic Model The six-state induction machine model in the arbitrary reference frame is presented in this section. This dynamic model will be used to
40、derive the FOC and DTC methods. As will be seen, the derivations of these control methods will be simpler if they are performed in a specic coordinate reference frame. An additional advantage is that transforming to the qd0 coordinate system in any reference frame removes the time-varying inductance
41、s associated with the induction machine. The machine model in a given reference frame is obtained by substituting the appropriate frequency for in the model equations. The state equations for the six-state induction motor model in the arbitrary reference frame are given in Eqs. (11-18) through (11-2
42、8). The induction machine nomenclature is provided in Table 11.1. The derivative operator is denoted by p, and the rotor quantities are referred to the stator. The state equations are vqs=rsiqs+plqs+wlds vds=rsids+plqs-wlqs vqr=0=rriqr+plqr+(w-wr)ldr vdr=0=rridr+pldr-(w-wr)lqr pwr=P(Te-Tload-Tloss)
43、2Jpwr=wr The induction machine nomenclature is provided in Table 11.1. The derivative operator is denoted by p, and the rotor quantities are referred to the stator. The state equations are where the stator and rotor ux linkages are given by lds=L1sids+Lm(ids+idr) lqs=L1siqs+Lm(iqs+iqr) ldr=L1ridr+Lm
44、(ids+idr) lqr=L1riqr+Lm(iqs+iqr) The electrical torque developed by the machine is： Te=3PLm3PLmldriqs-lqrids)=(lqsldr-lqrlds) 4LrLrLs=Ls-L2m/Lr，wherewhere the stator transient reactance is dened as LsLr=L1r+Lmand Ls=L1s+Lm.It is important to note that in Eqs. (11-20) and (11-21), the shaft speed wri
45、s expressed in electrica radians-per-second, that is, scaled by the number of machine pole pairs. 11.3.3 Field-Oriented Control of the Induction Machine Field-oriented control is probably the most common control method used for high-performance induction machine applications. Rotor ux orientation (R
46、FO) in the synchronous reference frame is considered here. There are other orientation possibilities, but rotor ux orientation is the most prominent, and so will be presented in detail. The RFO control method involves making the induction machine behave similarly to a DC machine. The rotor ux is ali
47、gned entirely along the d-axis. The stator currents are split into two components: a field-producing component that induces the rotor ux and a torque-producing component that is orthogonal to the rotor eld. This is analogous to the DC machine where the eld ux is along one direction, and the commutat
48、or ensures an orthogonal armature current vector. This task is greatly simplied through transformation of the machine variables to the synchronously rotating reference frame. Under FOC, the q-axis rotor ux linkage is zero in the synchronous reference frame, by using Eq. (11-28), the electric torque of the induction machine can be expressed as Te=3PLmeeldriqs 4Lrwhere the e superscript indicates evaluation in the synchronous reference frame. This torque equation is very similar to tha
