-
AC ingof
Qing-Chang Zhongld S1 3JD
generatorsSpeed-sensorless
of contr, basedvoltconbe regan of othled thand
withresentedEurope
electricotorsdrive
ed now
s, fanewablebecaunance
uxpara-i) theoften
developed for vector control to improve the performance
Contents lists available at SciVerse ScienceDirect
journal homepage: www.elsev
European Journal
tional Conference on Power Electronics, Machines and Drives
(PEMD) held in April
European Journal of Control () indirectly controlled
[8,26,30,28]. It uses hysteresis-based control,1
http://encyclopedia2.thefreedictionary.com/Power+System+Load.[1,7,10,14,15,17,19,20,27].(3)
Direct torque (and ux) control: The torque (and stator ux) are
directly controlled via selecting appropriate inverter
voltagespace vectors through a look-up table but the frequency
is
0947-3580/$ - see front matter & 2013 European Control
Association. Published by Elsevier Ltd. All rights
reserved.http://dx.doi.org/10.1016/j.ejcon.2013.05.013
2010 in Brighton, UK and at the 20th International Symposium on
PowerElectronics, Electrical Drives, Automation and Motion
(SPEEDAM) held in June2010 in Pisa, Italy.
n Tel.: +44 114 22 25630; fax: +44 114 22 25683.E-mail
addresses: [email protected], [email protected]
controlled via hysteresis-band PWM, which makes thesystem analysis
difcult [3,9,11,16,22]. A lot of patches have beenSome preliminary
results of this work were presented at the 5th IET
Interna-frequency sinusoidal power supply from a constant DC
powersource. The control variables are voltage and frequency
whilemaintaining their ratio constant to provide (almost)
constant
to DC drives. The drawbacks of vector control are: (i)
theestimation and eld orientation are dependent on motormeters,
which change in reality (e.g. with temperature); (icontroller is
very complicated and (iii) the inverter isadvancement of power
electronics, digital signal processing (DSP),etc., the technology
of VSD for AC motors is matured and AC driveshave replaced DC
drives in many application areas. There are mainlythree approaches
developed for AC drives [4,6,12]:
(1) V/f control: The idea is to generate a
variable-voltagevariable-
oriented (aligned) in the direction of the rotor ux and iq
isperpendicular to it, then the control of id and iq is decoupled,
asin the case of DC motors. The frequency is not directly
controlledas in the scalar control but indirectly controlled; the
torque iscontrolled indirectly via controlling the current. The
advantage ofvector control is that it provides good performance
that is similaras home appliances, robots, pumpindustrial processes
and, recently, renthe main driving force in industryreliability,
low cost and low mainteincrease productivity and improve quality in
many applications, such (2) Vector control: The idea is to control
AC motors in a way similar1. Introduction
Motors consume the majority ofconsumed by asynchronous electric
mnous electric motors.1 Variable speedwith inverters, are hence
widely use cite this article as: Q.-C. Zhong, ,pean Journal of
Control (2013), http:ity, of which 5070% isand 310% by synchro-s
(VSD), often equippedadays to save energy,
s, automotive, railway,energy. AC motors are
se of their small size,[4,5,12,18]. Due to the
ux. It is widely used in open-loop drives, where the
require-ment of performance, e.g. speed accuracy and response, is
nothigh and/or the controller needs to be simple [25]. This is
alsocalled scalar control because only the amplitude of the
voltageis controlled. It is possible to add feedback, e.g. speed,
torqueand/or ux, to improve the performance [2,24].
to controlling separately excited DC motors, after
introducingsome transformations. The three phase currents are
convertedinto d, q current components id and iq, which correspond
to theeld and armature currents of DC motors, respectively. If id
isDept. of Automatic Control and Systems Engineering, The
University of Shefeld, Shefe
a r t i c l e i n f o
Article history:Received 13 May 2013Accepted 13 May
2013Recommended by Alessandro Astol
Keywords:Variable speed drivesWard Leonard drive systemsAC
machinesSynchronvertersInverters that mimic synchronous
a b s t r a c t
In this paper, the problemcompletely new viewpointthat generates
a variable-physical, extension of theAs a result, AC drives
candrives and the introductiomotor is easier to be handControl
strategies, with aexperimental results are p
& 2013Ward Leonard drive systems: RevisitAC machines$
nAC Ward Leonard drive
system//dx.doi.org/10.1016/j.ejcon.201ional Ward Leonard drive
systems for DC machines to AC machines.rded as generator-motor
systems, which facilitate the analysis of ACer special functions
because a system consisting of a generator and an the conventional
AC drive that consists of an inverter and a motor.out a speed
sensor, are proposed to implement this idea and theto demonstrate
the feasibility.
an Control Association. Published by Elsevier Ltd. All rights
reserved.ageventthe four-quadrant operation
, UK
olling the speed of AC machines in four quadrants is revisited
from aon the idea of powering an AC machine with a synchronous
generatorvariable-frequency supply. This is a natural,
mathematical, but not
ier.com/locate/ejconof Controls: Revisiting the four-quadrant
operation of AC machines,3.05.013i
-
which generates ux and torque ripples, and the
switchingfrequency is not constant. It also needs motor parameters
toestimate the torque (and stator ux) [13,23,29]. Again,
thehysteresis-based control makes system analysis very difcult.
These three schemes have been further advanced for a long
periodwith the development of related technologies in e.g. control
theoryand microelectronics. They are suitable for different
applicationsbecause of their different characteristics [4,12,21].
The vector
verter concept of operating inverters to mimic
synchronousgenerators [3335]. Ideally, if the motor has the same
pole numberas the generator and there was no loss, the torque of
the generatorwould be the same as the torque of the motor. Hence,
the torque ofthe motor could be controlled via controlling the
torque entering thesynchronous generator.
3. Model of a synchronous generator
The model of synchronous generators is very well documentedin
many textbooks and other literature. Here, some changes aremade to
the model developed in [34], assuming that the uxestablished in the
stator by the eld windings is sinusoidal
Co
V/VeDiAC
speed speed
Q.-C. Zhong / European Journal of Control () 2
PlEuntrol type Frequency control Torque control Flux control
f control Direct None Nonector control Indirect Indirect
Directrect torque control Indirect Direct DirectWLDS Direct Direct
Open-loopcontrol and direct torque (and ux) control provide very
goodperformance but the control algorithms involve several
transfor-mations and are very complicated. What is worse is that
look-uptables are used in the direct torque (and ux) control,
whichmakes the analytical analysis of the system very difcult. The
highorder of the resulting complete system from these approaches
alsomeans that the system stability is difcult to guarantee. V/f
controlis simple but the performance needs to be improved. Hence,
asimple high-performance AC drive that facilitates the
analyticalanalysis of the system is desirable.
From the viewpoint of control system design, the AC motor
issimply the load to an inverter. The main control objective of
adrive is to regulate the speed and the torque to obtain fast
andgood response and the change of the motor parameters
(includingthe load) should not impose a major problem to the
system. Suchan attempt is made in this paper, following the concept
ofoperating inverters to mimic synchronous generators [3335]and
motivated by the conventional Ward Leonard drive systems(WLDS). The
physical interpretation of this is that the AC motor ispowered by a
synchronous generator (SG) driven by a variable-speed prime mover.
The synchronous generator and the primemover are then replaced by
an inverter that behaves as asynchronous generator. The torque and
speed of the AC motorare then controlled via controlling the torque
and frequency of thesynchronous generator. The resulting control
scheme is verysimple as it does not involve vector transformations
nor theestimation of ux. No complicated concepts, e.g. vector
controland eld orientation, are needed and the scheme is very easy
tounderstand. This also unies the drive for synchronous motors(SM)
and induction motors (IM). In the proposed scheme, theattention of
how to design AC drives has shifted from motor-oriented to
inverter-oriented. This has led to an extremely simplecontroller.
It can also be treated as the proposed AC drive ispowered by a
synchronous generator while the vector-controlledAC drives are
powered by a DC generator with some transforma-tions. Another
important advantage is that the complete systemcan be described by
the analytic mathematical models of thegenerator and the motor,
which facilitate the analytical analysis ofthe system. The
comparison of the different types of VSDs is givenin Table 1.
The rest of the paper is organised as follows. The concept of
theDCWard Leonard drive systems is reviewed and then extended to
ACmachines in Section 2. The mathematical model of
synchronousgenerators is described in Section 3 and a control
scheme is proposedin Section 4 to implement the concept.
Experimental results areshown in Section 6 and conclusions are made
in Section 7.
Table 1Comparison of control types for AC VSDs.ease cite this
article as: Q.-C. Zhong, , AC Ward Leonard drive syropean Journal
of Control (2013), http://dx.doi.org/10.1016/j.ejcon.2. Ward
Leonard drive systems
Induction motors, particularly those of the squirrel-cage
type,have been the principal workhorse for long time. However,
until thebeginning of 1970s, they had been operated in the
constant-voltageconstant-frequency (CVCF) uncontrolled mode, which
is still verycommon nowadays. VSDs were dominated by DC motors in
theWard Leonard arrangement. Ward Leonard drive systems, alsoknown
as Ward Leonard Control, were widely used DC motor speedcontrol
systems introduced by Harry Ward Leonard in 1891. A WardLeonard
drive system, as shown in Fig. 1, consists of a motor (primemover)
and a generator with shafts coupled together. The motor,which turns
at a constant speed, may be AC or DC powered. Thegenerator is a DC
generator, with eld windings and armaturewindings. The eld windings
are supplied with a variable DC sourceto produce a variable output
voltage in the armature windings, whichis usually used to power a
second DC motor that drives the load.
A natural analogy is to replace the DC generator with a
synchro-nous generator and the DC motor with an AC machine (an
inductionmotor or a synchronous motor); see Fig. 2(a). This
conguration iscalled AC Ward Leonard drive systems [31,32]. It is
worth noting thatthe physical implementation of an AC Ward Leonard
drive system isof limited use, as described below. The prime mover
in a DC WLDSmaintains a constant speed and the ux of the generator
is variable;the prime mover in an AC WLDS needs to have a variable
speed (sothat the frequency of the output can be varied) and the ux
of thegenerator is constant. The output of the generator (voltage)
in a DCWLDS is varied via controlling the eld voltage and the
output of thegenerator (voltage and frequency) in an AC WLDS is
varied viacontrolling the speed of the prime mover. If the speed of
the primemover could be varied, it could have been used to drive
the loadstraight-away and hence there is no need to have a physical
ACWLDS. Instead of having a physical synchronous generator that
isdriven by a variable-speed prime mover, an inverter that captures
themain dynamics of the physical system (the synchronous
generator,the variable-speed prime-mover and its controller), as
shown inFig. 2(b), can be used to power the motor, following the
synchron-
Controllable field Fixed field
Fig. 1. Conventional (DC) Ward Leonard drive systems.Constant
Variable
Primemover
Load and that the stator winding resistance and inductance are
zero.
stems: Revisiting the four-quadrant operation of AC
machines,2013.05.013i
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The saturation effect of the machine is introduced by limiting
thevoltage to the rated value, as shown in Fig. 3. When the
eldcurrent If is constant, the generated voltage e ea eb ecT is
e _ ~sin 1
where is the electrical rotor position (hence _ is the
electricalangular speed), is the amplitude of the mutual ux
linkagebetween the stator winding and the rotor winding, and ~sin
isthe vector sin sin 2=3 sin 4=3T : In fact, is alsothe ratio of
the generated voltage (amplitude) to the speed(angular) and Mf If ,
where Mf is the maximum mutualinductance between the stator winding
and the rotor winding.
The mechanical dynamics of the machine is governed by
J TmTeDp _ ;
where J is the moment of inertia of all parts rotating with the
rotor,Dp is the damping factor, Tm is the mechanical torque applied
tothe synchronous generator by the prime mover and Te is
theelectromagnetic torque given by
Te pi; ~sin : 2
Here, p is the number of pole pairs per phase, i ia ib icT is
thestate current vector and ; denotes the conventional
innerproduct. It is worth noting that if i I0 ~sin then
Te pI0 ~sin ; ~sin 32pI0 cos ;
which is a constant DC value. This is a very important
property,
unit, a speed controller and a current feed-forward controller,
asshown in Fig. 4. In order to speed up the system response and
to
Variablespeed
Variablespeed
Fixed field
SM/IM Load
SG Primemover
Variablespeed
Variablespeed
Fixed field
SM/IM Load
SG Primemover VDC
Inverter
Fig. 2. AC Ward Leonard drive systems. (a) Natural
implementation. (b) Proposedimplementation.
Fig. 3. Mathematical model of a synchronous generator.
Q.-C. Zhong / European Journal of Control () 3Fig. 4. Control
structure for AC WLDS with a spee
Please cite this article as: Q.-C. Zhong, , AC Ward Leonard
drive syEuropean Journal of Control (2013),
http://dx.doi.org/10.1016/j.ejcon.minimise the number of tuning
parameters, it is advantageousto choose the inertia of the
generator to be J0 (i.e., zero inertia).
_ _ _from which a simple control strategy can be designed to
regulatethe speed of the AC machine.
4. Control scheme with a speed sensor
4.1. Control structure
As explained before, the idea of the AC Ward Leonard drive
systemis to power the AC motor with a synchronous generator, driven
by avariable-speed prime mover that is implemented via an
inverter.Hence, the focus of the control system is to control the
generatorinstead of the motor. The mechanical torque Tm applied to
thegenerator can be easily generated by a speed controller
(governor),e.g. a PI controller, that compares the actual speed _ f
with thereference speed _r . If the motor is synchronous, then the
actual speedcan be directly taken from the generator without a
speed sensor as themotor runs at the synchronous speed _ . If the
motor is inductive, thenthe actual speed (mechanical) can be
measured from the motor and itshould be converted to the electrical
speed via multiplying it with thenumber of pole pairs p. Usually
this involves a low-pass lter to reducethe measurement noise.
Another aspect could be easily taken intoaccount is the voltage
drop on the stator winding of the motor,particularly, when the
speed is low. It can be compensated via a feed-forward path
containing the stator winding resistance Rs from currenti to the
generated voltage e. Thus, the resulting complete
controllerconsists of a synchronous generator model, a speed
measurementd sensor. r , f and are all electrical speed.
stems: Revisiting the four-quadrant operation of AC
machines,2013.05.013i
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torque Te (regarded as a disturbance) to the speed _ is
HT s 4ss 1Dp2s 12
;
which means that any step change in the (load) torque does not
cause
C W
Fig. 6. An experimental AC drive.
Table 2Parameters of the motor.
Parameters Values Parameters Values
Rs 0:17 Rated frequency 128 Hzp 2 Rated speed 3621 rpmRated
voltage (line-to-line) 30 VRMS Rated torque 0.528 Nm
Q.-C. Zhong / European Journal of Control () 4This also reduces
the system order by one, which helps improvesystem stability.
It is worth noting that the of the generator is always
keptconstant. When the speed of the generator exceeds the rated
speed,the generated voltage is bounded by the rated voltage so that
theinsulation of the motor is not damaged (the voltage boost due to
thecurrent feed-forward path should not exceed the margin
allowed,which is normally the case). It should be pointed out that
p, and Rsshould be chosen the same as those of the motor.
The output u of the controller, which is the sum of the
generatedvoltage and the compensated voltage drop on the motor
statorwinding, can be passed though a three-phase inverter, after
appro-priate scaling according to the DC-link voltage, to power the
AC motor.The switches in the inverter are operated so that the
average values ofthe inverter output over a switching period should
be equal to u,which can be achieved by many known
pulse-width-modulation(PWM) techniques. Because of the inherent
low-pass ltering effectof the motor, it may not necessary to
connect LC lters to improve thetotal harmonic distortion.
4.2. System analysis and selection of parameters
In order to simplify the analysis, assume that the speed
feedbackis taken from _ , i.e., _ f 1=s 1 _ . The torque Te can be
regardedas a disturbance to simplify the analysis. The transfer
function fromthe speed reference _r to the speed _ , assuming zero
load, is then
H _ s KPs KIs 1
Dps2 Dp KPs KI:
_ _ _
Fig. 5. Control structure for AFor a step change of r , the
speed jumps by KP=Dpr , which isnormally regarded as aggressive,
and then settles down. In order toavoid this, take KP0. Hence
H _ s KIs 1
Dps2 Dps KI:
This is a second order system and the poles are
s1;2 17
14KI=Dp
p2
:
If KI is chosen as
KI Dp4
;
then the two poles are s1;2 1=2 and
H _ s s 1
2s 12:
This would leave enough margin for the controller to cope
withuncertainties and parameter variations. The transfer function
from
Please cite this article as: Q.-C. Zhong, , AC Ward Leonard
drive syEuropean Journal of Control (2013),
http://dx.doi.org/10.1016/j.ejcon.LDS without a speed sensor.a
static error in the speed _ . If there is a step change Te in the
torque,the speed jumps by 1=DpTe and then recovers. Hence, in order
toreduce the impact of the load on the speed, Dp should not be too
small.
The speed response is directly related to the time constant
ofthe low-pass lter used in the speed measurement unit. Thesmaller
the time constant, the faster the system response.
The above analysis is approximate because the loop involvingthe
motor that affects Te is not fully considered and the speedfeedback
is not exactly taken from the motor. However, it doesoffer some
insightful understanding to the system and, in princi-ple, reects
the system dynamics as can be seen from theexperimental results to
be shown in the next section. It is worthnoting that, although the
above design leads to a non-oscillatoryresponse, the closed-loop
system in real implementation could beoscillatory because of the
reasons mentioned above.
The four-quadrant operation of AC machines comes automati-cally
with the proposed AC WLDS. There is no need to add anyextra effort
or device; the change of the sign of the speed referencechanges the
direction of the motor rotation. A positive frequency
stems: Revisiting the four-quadrant operation of AC
machines,2013.05.013i
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Fig. 8. Reversal at high-speed with a load. (a) Speed. (b)
Torque of the generator. (c) Current. (d) Voltage.
Fig. 7. Reversal at high-speed without a load. (a) Speed. (b)
Torque of the generator. (c) Current. (d) Voltage.
Q.-C. Zhong / European Journal of Control () 5
-
Q.-C. Zhong / European Journal of Control () 6(spefreqof
tneg
Iconis dcho
(1)
(2)
(3)
5.
5.1.
Ispeto tconsynspee
PlEued) reference leads to a positive speed and a negativeuency
(speed) reference leads to a negative speed. A changehe frequency
from negative to positive, or from positive toative, leads to the
reversal of the motor rotation.n summary, the speed response is
determined by the timestant of the speed measurement unit and the
torque responseetermined by Dp. The parameters of the controller
can besen as follows:
Choose p, and Rs the same as, or close to, those of the motorand
choose J0.Determine the time constant to meet the requirement of
thespeed response (also the requirement of the measurementnoise)
and Dp to meet the requirement of the torque response.Choose KP0
and KI Dp=4.
Control scheme without a speed sensor
Control structure
f the motor is synchronous, then there is no need to have aed
sensor because the speed of synchronous motor convergeshe speed _
of the generator, which is internally available in thetroller for
feedback. Even for induction motors, _ is thechronous speed and can
be used to reect the actual motord (the difference is the slip). In
this case, Dp can be chosen as 0.
Fig. 9. Reversal at low-speed without a load. (a) Speed.
ease cite this article as: Q.-C. Zhong, , AC Ward Leonard drive
syropean Journal of Control (2013),
http://dx.doi.org/10.1016/j.ejcon.The slip of an induction motor
can be compensated to some extent aswell. It is well known that the
speed drop _s is in proportion to thetorque over a wide speed
range, i.e.
_s KTTe:
This can be obtained from the torquespeed characteristics of
themotor. For synchronous motors, KT0. This load (torque) effect
can becompensated via adding KTTe to the speed reference _r . The
resultingspeed-sensorless control scheme for ACmachines is shown in
Fig. 5. Itconsists of the model of a synchronous generator, a speed
controller, aload-effect compensator and a current feed-forward
controller, whichis a feed-forward path containing the stator
winding resistance Rsfrom current i to the generated voltage e.
This scheme is applicable forboth synchronous (with KT0) and
induction motors. For synchro-nous motors, it provides
zero-static-error speed control; for inductionmotors, there is
normally a small static error depending on thecompensation accuracy
of the load (torque) effect. The accuracy canbe improved via using
a two-dimensional table to determine KTaccording to the torquespeed
characteristics of the motor, taking intoaccount both the
synchronous speed and the torque.
5.2. System analysis and selection of parameters
In order to simplify the exposition below, consider the casewhen
the motor is synchronous, i.e., KT0. The transfer function
(b) Torque of the generator. (c) Current. (d) Voltage.
stems: Revisiting the four-quadrant operation of AC
machines,2013.05.013i
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Q.-C. Zhong / European Journal of Control () 7from the speed
reference _r to the speed _ , assuming zero load, is
H _ s KPs KI
Js2 KPs KIand the transfer function from torque Te (regarded as
a distur-bance) to the speed _ is
HT s s
Js2 KPs KI:
The system is of second order and the poles are
s1;2 17
14KIJ=K2P
q
2J=KP:
Increasing KI tends to make the system response oscillatory.
Dene J=KP , i.e., KP J=. If KI is chosen as
KI KP4
J42
;
then the two poles are s1;2 1=2. Under this set of
parameters
H _ s 4s 1
2s 12;
HT s 42s
J2s 12:
The speed response can be tuned by changing and the
torqueresponse can be tuned by changing J.
Fig. 10. Reversal at low-speed with a load. (a) Speed. (b) T
Please cite this article as: Q.-C. Zhong, , AC Ward Leonard
drive syEuropean Journal of Control (2013),
http://dx.doi.org/10.1016/j.ejcon.(1)
(2)
(3)(4)
6.
sysboatroltionto tTheconbi-d
6.1.
wh
orqu
stem201In summary, the control parameters can be chosen as
follows:
Choose p, and Rs the same as, or close to, those of the motorand
choose Dp0.Determine the time constant to meet the requirement of
thespeed response and J to meet the requirement of the
torqueresponse.Choose KP J= and KI KP=4.Choose KT according to the
torquespeed characteristics of themotor (KT0 for synchronous
motors).
Experimental results
The proposed AC WLDS was veried on an experimentaltem, as shown
in Fig. 6. The system consists of an inverter, ard consisting of
current sensors, a dSPACE DS1104 R&D con-ler board equipped
with ControlDesk software, and an induc-motor. The motor parameters
are given in Table 2. Accordinghe parameters, it can be found that
0:0305 and KT86.82.inverter has the capability to generate PWM
voltages from astant 42 V DC voltage source and the motor is
equipped with airectional encoder with 1000 lines for speed
measurement.
Case 1: with a speed sensor for feedback
The control parameters were chosen as 0:1 s and Dp0.08,ich
results in KI0.2. Many experiments were carried out to
e of the generator. (c) Current. (d) Voltage.
s: Revisiting the four-quadrant operation of AC
machines,3.05.013i
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Fig. 12. Reversal at high-speed without a load (without a speed
sensor). (a) Speed. (b) Torque of the generator. (c) Current. (d)
Voltage.
Fig. 11. Reversal at an extremely low speed without a load. (a)
Speed. (b) Torque of the generator. (c) Current. (d) Voltage.
Q.-C. Zhong / European Journal of Control () 8
-
test the performance of the system and some of the results
areshown here.
6.1.1. Reversal at high-speed without a loadThe reference speed
was changed from 3600 rpm to 3600 rpm
at around t0.6 s. The responses (speed, torque, current
andvoltage) are shown in Fig. 7. The motor quickly reversed
from3600 rpm to 3600 rpm and settled down in about 1.2 s. Therewas
a very short period of over-current around 70%; the voltagedropped
when the reversal was started and then gradually built upafter the
reversal. The phase sequence of the currents was changedat around
0.85 s, which corresponds to the change of the rotatingdirection of
the magnetic eld, to enable the reversal.
6.1.2. Reversal at high-speed with a loadThe reference speed was
changed from 1800 rpm to 1800 rpm
at around t1 s. The responses are shown in Fig. 8. The
motorquickly reversed from 1800 rpm to 1800 rpm in about 1.5
s,which is slightly longer than the case without a load. There
wasabout 11% overshoot in the speed and the over current
increasedto about 150%.
6.1.3. Reversal at low-speed without a loadThe reference speed
was changed from 150 rpm to 150 rpm at
around t0.6 s. The responses are shown in Fig. 9. It took
about1.5 s to complete the reversal and settle down. The
over-currentwas only about 15% and the speed overshoot was about
6%. Note
that the sequence of the three phase currents/voltages changed
ataround t0.8 s.
6.1.4. Reversal at low-speed with a loadThe reference speed was
changed from 300 rpm to 300 rpm at
around t2.2 s. The responses are shown in Fig. 10. The
motorquickly reversed from 300 rpm to 300 rpm in about 2 s.
Therewas a noticeable stop in the middle of the reversal process.
Theover current was about 50%.
6.1.5. Reversal at an extremely low speed without a loadThe
reference speed was changed from 4.5 rpm to 4.5 rpm at
around t5 s. The responses are shown in Fig. 11. It took about
15 sto complete the reversal and settle down due to the extremely
lowspeed. There were some ripples in the measured speed, which
wasowing to the error in the measurement unit (the motor
actuallyrotated smoothly). The motor speed dropped to 0 quickly
butremained standstill for about 12 s, during which the torque
increasedalmost linearly, before the torque was accumulated high
enough tostart the motor. Once the current gradually increased to a
level that isenough to generate the required torque, the motor
started rotating.
6.2. Case 2: without a speed sensor for feedback
The control parameters were chosen as 0:1 s and J0.08,which
results in KP0.8 and KI2. Many experiments werecarried out and some
of the results are shown here.
Q.-C. Zhong / European Journal of Control () 9Fig. 13. Reversal
at high-speed with a load (without a speed sensor)
Please cite this article as: Q.-C. Zhong, , AC Ward Leonard
drive syEuropean Journal of Control (2013),
http://dx.doi.org/10.1016/j.ejcon.. (a) Speed. (b) Torque of the
generator. (c) Current. (d) Voltage.
stems: Revisiting the four-quadrant operation of AC
machines,2013.05.013i
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752761.
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Industrial ElectronicsMagazine 2 (September (3)) (2008) 3250.
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applications, in: Proceed-ings of the IEEE International Symposium
on International Industrial Electro-nics (ISIE), 1993, pp. 118.
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computer storagetechnique for induction machines suitable for
online application, IEEE Trans-6.2.1. Reversal at high-speed
without a loadThe reference speed was changed from 3600 rpm to 3600
rpm
at around 0.7 s. The responses are shown in Fig. 12. The
motorquickly reversed from 3600 rpm to 3600 rpm in about 1.3
s.There was a very short period of over 100% over-current and
thespeed overshoot was about 14%. The static error was almost
zero.
6.2.2. Reversal at high-speed with a loadThe reference speed was
changed from 1800 rpm to 1800 rpm
at around t0.4 s. The responses are shown in Fig. 13. It
tookabout 1.6 s to complete the reversal and there was about
200%over-current.
7. Conclusions and discussions
The concept of the conventional DC Ward Leonard drivesystems is
extended to AC machines. Instead of implementing itphysically, it
is implemented mathematically and an inverter iscontrolled to
replicate the dynamics of the physical set of avariable-speed prime
mover and a synchronous generator. Thisleads to the smooth
operation of AC machines in four quadrants.The change of the sign
of the frequency set-point leads to thechange of the phase sequence
of the current and, furthermore, thechange of the rotational
direction. Two control schemes, one witha speed sensor and the
other without a speed sensor, are proposedfor the system, which is
then validated with the experimentalresults. The main purpose of
this paper is to propose and validatethe concept. Some further
studies, e.g. the comparison with otherapproaches, detailed
analysis of the complete system and theapplication of the strategy,
are left for future research.
While it is vital for some applications to achieve the
fastestpossible torque response, this may have been aggressively
pushedfor some applications where the response speed is not
critical. Forthe formal case, it is often achieved via controlling
the currentprovided by the inverter, but for the latter case, the
speedregulation can be achieved by controlling the voltage
providedby the inverter. In other words, AC drives can be classied
ascurrent-controlled AC drives and voltage-controlled AC
drives.Vector control and direct torque control belong to the
current-controlled AC drives while V/f control and the proposed AC
WLDSbelong to the voltage-controlled AC drives. Similarly to AC
dives,the inverters in smart grid integration can be
current-controlled orvoltage-controlled; see [33] for detailed and
systematic treatmentof controlling inverters for renewable energy
and smart gridintegration.
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stems: Revisiting the four-quadrant operation of AC
machines,2013.05.013i
AC Ward Leonard drive systems: Revisiting the four-quadrant
operation of AC machinesIntroductionWard Leonard drive systemsModel
of a synchronous generatorControl scheme with a speed sensorControl
structureSystem analysis and selection of parameters
Control scheme without a speed sensorControl structureSystem
analysis and selection of parameters
Experimental resultsCase 1: with a speed sensor for
feedbackReversal at high-speed without a loadReversal at high-speed
with a loadReversal at low-speed without a loadReversal at
low-speed with a loadReversal at an extremely low speed without a
load
Case 2: without a speed sensor for feedbackReversal at
high-speed without a loadReversal at high-speed with a load
Conclusions and discussionsReferences