3-epe452_induction motors-3ph.pdf
TRANSCRIPT
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ThreeThree--Phase Induction MotorPhase Induction Motor(Asynchronous )(Asynchronous )
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Contents
Introduction
Rotating Magnetic field
Construction and Principle of Operation
Equivalent Circuit
Performance Characteristics
Starting Methods
Speed Control
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Laws of Electromagnetism
Faraday’s Law
Lenz’s Law
Fleming’s Right Hand rule
Fleming’s Left Hand rule
Interaction of two magnetic fields
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Faraday’s Law ofElectromagnetic Induction
When the magnetic fluxthrough a circuit ischanging an induced
EMF is setup in thatcircuit and its magnitudeis proportional to the
rate of change of flux”
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Lenz’s Law
“
The direction of an
induced EMF is suchthat its effect tendsto oppose the changeproducing it”
http://h/123/Lenz.avi
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Fleming’s Right Hand rule
Used to measure the direction of
induced current in a conductor when
cut by a magnetic field.
Fleming’s Left Hand rule
Used to measure the direction of
motion of a current carryingconductor when placed in
magnetic field.
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Interaction of two magnetic fields
Electromagnetics
Stator
Rotor
http://c/Documents%20and%20Settings/user/Local%20Settings/Temporary%20Internet%20Files/Content.IE5/4LU4EGW8/DC_motor.avi
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About 65% of the electric energy in the United States isconsumed by electric motors.
In the industrial sector alone, about 75% is consumed by
motors and over 90% of them are induction machines.
Simple construction, Robust, Cheap
Introduction
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MOTOR
9
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Production of three phase
rotating magnetic field (RMF)
RMF may be set up in two-phase or three-phasemachines.
The number of pole pairs must be the same as the
number of phases in the applied voltage.
The poles are displaced from each other by an
angle equal to the phase angle between theindividual phases of the applied voltage.
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+ When Current positive and going into
When Current negative and coming from
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Rotating Magnetic Field
p f n s
s120
When three-phase balanced currents
are applied to a three-phase winding,
(aa', bb', cc', displaced from each other
by 120 electrical degrees in space), a
rotating magnetic flux is produced.
The speed at which the magnetic flux rotates is called the
synchronous speed ns
,
Where f s is the supply frequency and p is the total numberof poles.
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Rotating Magnetic Field (Cont.)
Currents in different phases of AC Machine
1 Cycle
Amp
timet0 t1 t2 t3 t4
t01 t12
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MMF due to ac current in phase “a”
Axis of phase a
a’a’
-90 -40 10 60 110 160 210 260-1
-0.8
-0.6
-0.4
-0.2
0
0.
2
0.4
0.6
0.8
1
Fa
Space angle (
) in degrees
t0
t01
t12
t2
at1
a
a
’
Fa
+
.
Axis of
phase a
Pulsating mmf
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a
a’
c’ b’
b c
Fc
F b
Fa F
t = t0
a
a’
c’ b’
b c
Fc
F
F b
t = t1
F
a
a’
c’ b’
b c
F b
Fa
Fc
t = t2
a
a’
c’ b’
b c
Fc F bF t = t3
-93 10 113 216-1.5
-1
-0.5
0
0.5
1
1.5
Space angle () in degrees
FFa Fc
F b
t = t0
MMF due to three-phase currents in three-
phase winding
MMF’s at various instant ( Rotating mmf )
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b a c
Time
t 1 t 3t 2
Rotating Magnetic Field
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b a c
Time
t 1 t 3t 2
ia
ic
ib
b
c
a a
c
b
Rotating Magnetic Field
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b a c
Tim
t 1 t 3t 2
ia
ic
ib
b
c
a
max2
3
max
2
3
max23
max2
3
max2
3 max2
3
max2
3
max2
3
max
2
3
At t1
At t 2
At t 3
Rotating Magnetic Field
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Rotating Magnetic Field
www.ewh.ieee.org
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Principle of Operation
If the stator windings are connected
to a three-phase supply; a rotating field
will be produced in the air-gap. This field
rotates at synchronous speed ns. This
rotating field induces voltages in the
rotor windings. Since the rotor circuit is
closed, the induced voltages in the rotor
windings produce rotor currents thatinteract with the air gap field to produce
torque. The rotor will eventually reach a
steady-state speed nm that is less than
the synchronous speed ns.
The difference between the rotor
speed and the synchronous speed is
called the slip, s ,
www.ewh.ieee.org
s
s
n
nnS
s
sS
60
n2 n
in rpmω in rad/s
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Analytical expression for the rotating mmf
An analytical expression may be obtained for the resultant mmf wave at
any point in the air gap, defined by an angle .
)120cos()120cos(cos
)()()()(
cba
cba
Ni Ni Ni
F F F F
The currents ia
, i b
and ic are function of time thus
)120cos()120cos(
)120cos()120cos(coscos)(
t NI
t NI t NI F
m
mm
)cos(2
3
)240cos(
2
1)cos(
2
1
)240cos(2
1)cos(
2
1
)cos(
2
1)cos(
2
1)(
t NI
t NI t NI
t NI t NI
t NI t NI F
m
mm
mm
mm
0 /
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Construction
1- STATOR
A three-phase windings is put in slots cut on the inner
surface of the stationary part. The ends of these
windings can be connected in star or delta to form athree phase connection. These windings are fed from a
three-phase ac supply.
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Construction (Cont.)
2- Rotorit can be either:
a-
Squirrel-cage (brushless)
The squirrel-cage windingconsists of bars embedded inthe rotor slots and shorted at both ends by end rings.
The squirrel-cage rotor is the
most common type because itis more rugged, moreeconomical, and simpler.
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/rotor winding/rotor winding
Short circuits allShort circuits all
rotor bars.rotor bars.
25
Squirrel Cage Induction Motor (SCIM)
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Construction (Cont.)
b-
Slip ring (wound-rotor)The wound-rotor winding has the same
form as the stator winding. The windings
are connected in star. The terminals ofthe rotor windings are connected to three
slip rings. Using stationary brushes
pressing against the slip rings, the rotorterminals can be connected to an
external circuit.
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Construction-Wound Rotor Induction Motor (WRIM)
Cutaway in a
typical wound-
rotor IM.
Notice the
brushes and the
slip rings
Brushes
Slip rings
27
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APPLICATION OF SLIP RING
MOTOR
compressor Central air conditoining
29
Wound rotr
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ADVANTAGES OF SLIP RING AND
SQUIRREL CAGE MOTOR
SQUIRREL CAGE SLIP RING
cheaper and more robustslightly
the starting torque is muchhigher and the starting current
much lower
higher efficiency and power
factor
the speed can be varied by means
of external rotor resistors
explosion proof, since the
absence of slip-rings and brusheseliminates risk of sparking.
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Principle of Operation
If the stator windings are connected to athree-phase supply; a rotating field will be produced in the air-gap. This field
rotates at synchronous speed ns. Thisrotating field induces voltages in therotor windings. Since the rotor circuit isclosed, the induced voltages in the rotor
windings produce rotor currents thatinteract with the air gap field to producetorque. The rotor will eventually reach a
steady-state speed nm that is less than thesynchronous speed ns.
The difference between the rotor speedand the synchronous speed is called the
slip, S , and is defined as
s
m s
n
n nS
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Definitions
nm = the rotor speed (the motor speed) w.r.t. stator
ns
= the speed of stator field w.r.t. stator or the synch. speed
nr = the speed of rotor field w.r.t rotor
S = the slip
f s = the frequency of the induced voltage in the stator (stator
or supply frequency)
f r = the rotor circuit frequency or the slip frequency
S mS r snnnn Slip rpm
S S mS r r f S nS
pnn
pn
p f )(
120)(
120)(
120
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Induced EMF
w p phrms K N f E 44.4
The instantaneous value of the induced voltage
in N turns coil is given by:
)90sin(2)cos(
)sin(
t f N t N e
t Let
dt
d
N e
mm
m
The r.m.s. value of the induced voltage per phase is
where
N ph is the number of turns in series per phase
f is the frequency
p
is the flux per pole
K w is the winding factor
phase voltage is 1/√3
of the normal voltage
phase voltage is equal
to the line voltage.
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341
2
1
2
N
N
E
E
I 1
X 1 R1
N 1
I
E 1V
I c
X c Rc
I r I 2
2 R2
2 E 2
1
2
2
12
I
I
N
N
I
I
•
At standstill
(nm= 0 , S = 1)The equivalent circuit of an induction motor at standstill is the
same as that of a transformer with secondary short circuited.
Equivalent Circuit Per Phase
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•
At standstill
(nm= 0 , S = 1)
The equivalent circuit of an induction motor at standstill is the
same as that of a transformer with secondary short circuited.
V 1
I 2’
R1 R2’ X 1 X 2
’
X c Rc
I c I 1
I 2’
E 1
= E 2’ All values are
per phase
Where
E2
= per-phase induced voltage in the rotor at standstill
X2 = per-phase rotor leakage reactance at standstill
Equivalent Circuit Per Phase
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Equivalent Circuit Per Phase (cont.)
At any slip S
When the rotor rotates with speed nm
the rotor circuit
frequency will be:
Therefore induced voltage in the rotor at any slip S will
be
E2S
= S E2
, similarly X2S
= SX2
and the rotor equivalent circuit per-phase will be:
S r f S f
sX2 X2
X2
R2
(1-S)/S
I2
sE2 R2
I2
E2 R2
/S
I2
E2
R2
2 2
2
2 2
2 2
jX ) s / R( E
jSX RSE I
Where
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I 2 I 1
X 2 X 1 R1 R2 /s N 1 : N 2
E 2
I
E 1
I c
X c RcV
Combined Equivalent Circuit
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I 2’
I 1
2’1 R1 R2’ /s
E 1 E 2’
I c
c RcV
2
2
12
' 2
N
N R R
2
2
12
' 2
N
N X X
1
22
' 2
N
N I I
Combined Equivalent Circuit
2’
1 R1 R2’ /s
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I 2’
I 1
2’
1 R1 R2’
E 1 E 2’
I c
c RcV )s1(s
R' 2
)s1(s
R Rs
R'
2' 2
'
2
I 2
’
I 1
E 1 E 2’
I c
c RcV
Equivalent Circuit of IM
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Equivalent Circuit of IM
I o
V 1
I 1
E 1
'
2 R
S
RS '
2)1(
Stator CircuitStator Circuit Rotor Circuit Rotor Circuit
Airgap & Airgap &
Magnetic Circuit Magnetic Circuit
1 X
'
2 X
m
X
I’2
c R
Load + Load +
Rotational losses Rotational losses
1 R
2’
1R1 R2’
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Equivalent to transformer’s
load
Equivalent to transformer’ssecondary windings
Equivalent to transformer’sprimary windings
I 2’
I 1
21 R1 R2
E 1 E 2’
I c
c RcV )s1(s
R' 2
2’
1R1 R2’
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I 2’
I 12
’ R2’
E 1 E 2’
1 R1
c
I c
RcV )s1(s
R' 2
I 2’
I 1
21 R1 R2
E 1 E 2’
I c
c RcV )s1(s
R' 2
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I 2’
I 1
X eq Req
X c
I c
RcV )s1(s R' 2
' 21eq
'
21eq
X X X
R R R
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Equivalent Circuit Per Phase (cont.)
1-The Complete Equivalent Circuit per phase
I o
V 1
R1 I 1
E 1
'
2 R
S
RS '
2)1(
Stator CircuitStator Circuit Rotor Circuit Rotor Circuit Airgap & Airgap &
Magnetic Circuit Magnetic Circuit
1 X '
2 X
m X
I’2
c R
Load + Load +
Rotation losses Rotation losses
R 2‘
/S
I 1
V 1 X m=2 f 1 Lm
R1 X 1=2 f 1 L1
I
X2’
=2 f 1 L2
I2’
2-IEEE-Recommended Equivalent Circuit
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Equivalent Circuit Per Phase (cont.)
3-Thevenin Equivalent Circuit
In order to simplify the computations, IEEE recommended equivalent circuitcan be replaced by the following Thevenin’s equivalent circuit.
If
12
1
2
1)(
V X X R
X V
m
m
th
2 m1
21 ) X X ( R
1
2
th1
2
m1
m
th
R K R ) X X
X ( R
1 th1
m1
m th V K V
X X
X V
th th
m11
11 m th jX R
) X X ( j R
) jX R( jX Z
1 th X X and
Xth
Vth
Rth
Air gap
X2’
R’2
/S
I2’
DETERMINATION OF THE EQUIVALENT
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1. No-Load Test ( S = 0 )
Measured values V oL = V 1L , I L , and Pot = W 1 ± W 2
Calculate the per phase values V 0 , I
and P0= P ot
/3
)sin()cos()cos(0
omoc
o
o I I I I
I V
P
m
m
c
c I
V X
I
V R 00
V 0
I m
X m Rc
I c
I
V
W1A
W2
I.M.
No Load
DETERMINATION OF THE EQUIVALENT
CIRCUIT PARAMETERS (cont.)
DETERMINATION OF THE EQUIVALENT
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2. Blocked rotor Test (S =1)
Measured values V bL < V 1L , I bL , and Pbt = W 1
± W 2
Calculate the per phase values V b , I b and Pb = Pot /3
V
W1A
W2
I.M.
R1
+R ’2 X 1
+X’2
Z bV b
I b
Blocked
2&
,,
2112
22
21221
b
b
bbb
b
b
b
b
b
b
X X X R R R
R Z X X X I
V Z
I
P R R R
DETERMINATION OF THE EQUIVALENT
CIRCUIT PARAMETERS (cont.)
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Power Flow In Induction Motors
= 3V 1 I 1cos
dev
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Power Flow In Induction Motors
S
S R I P
R I P
S
R I P
dev
RCL
AG
)1()(3
)(3
)(3
22
2
2
2
2
22
2
)1(::1:: S S PPPdev RCLGA
P AG
I mV 1
I 2’
R1 R2’ X 1 X 2
’
X m Rc
I c I I 1
I 2’
R2’(1-S)
S
Power Flow In Induction Motor
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nput Power (Pin )
tator Losses:
Copper losses (P cu 1 )
Core losses (Piron
)
irgap Power (P g )
eveloped Power (P d ) otor Copper Losses (P cu 2 )
otational Losses (P rotational ) Output Power (P out )
Power Flow In Induction Motor
Power Flow In Induction Motor
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11in cos I V 3P
m
2
iron
1211cu
R
V 3P
R I 3P
sd ' 22'
2g T
s
R) I (3P
gcu Ps R I P '22'22 3
Protational T Pout
d gd T sPss R I P )1()1(3
'
22'2
)1(::1:: 2 ssPPP d cug
I 2’
I 1
X 2’
X 1 R1 R2’
E 1 E 2’
I c
X c RcV )s1(s
R' 2
Power Flow In Induction Motor
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Power relations
3 cos 3 cosin L L ph ph
P V I V I
21 13SCLP I R
( ) AG in SCL coreP P P P
2
2 23 RCLP I R
conv AG RCLP P P
( )out conv f w strayP P P P
52
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Example
53
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54
Solution
100 hp, 460 V, 8 pole, 60 Hz, star connected, 3-phase IMV ph
= 460/√3 = 265.6 V
a) Machine parameters
No Load Test :
Vnl
= 460/√3 = 265.6 V, Inl
= 40 A , Pnl
= 4200/3 = 1400 Wcos (nI
) = Pnl
/ (VnI
* Inl
) = 1400/ (265.6*40) = 0.132
nI
= 82.4°
Ic
= Inl
cos (nI
)= 40* cos(82.4°) = 5.27 A , R c
= Vnl
/ Ic
= 50.38 .
Im
= Inl
sin (nI
) = 40* sin(82.4°) = 39.65 A , Xm
= Vnl
/ Im
= 6.7 . Blocked rotor test :V bl = l00/√3 = 57.74 V, I bl = 140 A , P bl
= 8000/3 = 2666.67 W
R 1
+R '2
= P bl
/ (l bl
)2
= 0.136
But R 1
= (0.152/2) * 1.11 = 0.084 , so R '2
= 0.052Z bl
= V bl
/ I bl
= 0.412 .X bl =√{(Z bl
2
-(R 1
+R '2
)2} = 0.39 X1
= X'2
.= 0.39/2 = 0.195
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55
195.0084.0895.6732.1
7.6*)195.0732.1( j
j
j j Z
in
in Z
b) For nm
= 873 rpm
ns
= 120*f s
/ P = 120*60/8 = 900 rpm
S = (ns
- nm
)/ns
= 0.03
IEEE recommended equivalent circuit per phase
1.623 + j0.771 = 1.797 25.41I1 = V 1
/ Zin = 147.75 A
p.f. = cos(25.41)= 0.903 lagPin
= 3 V1
I1
cos() = 3 *265.6*147.75*cos (25.41) = 106308 WP
AG
= Pin
-3I1
2
R l
= 100806 W
PRCL
= s * PAG
= 3024 W
Pdev
= PAG
–PRCL
= 97782 W
Rotational losses = Pnl (total)
– 3 (Inl
)2
R 1
= 4200 –
3 (40)2
(0.084) = 3797 W
Pout
= Pdev
–Rotational losses = 97782-3797 = 93985 W
Efficiency = Pout
/ Pin
= 0.884
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Problem
56
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57
Performance Characterstics
2
2
2'
2
'
2
)( X X s
R R
V I
thth
th
22
2'
2
2'
2
)(
3
X X S
R R
V
S
RT
thth
th
s
Xth
Vth
Rth
Air gap
X2’
R’2
/S
I2’
Torque / speed Curve
Consider Thevenin’s equivalent circuit
The rotor current referred to stator side is:
And the developed torque T is :
ss
AG
s
AG
m
dev R I P
S
S PP
T
2
2
2)(3
)1(
)1(
Speed p.u.
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Torque/Speed Curve (cont.)
Maximum torque
Starting torque
Starting Torque:
at starting S =1, so the starting torque is:
22
2
2
2'
2
)(3
X X R RV RT
thth
th
s
St
S Tmax
For maximum torque
which fromdS
dT ,0
2/12'
2
2
'2
max])([ X X R
RS
thth
T
2/12'
2
2
2
max])()[(2
3 X X R R
V T ththth
th
S
Stable
Unstable
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Torque-speed characteristics
Typical torque-speed characteristics of induction motor 59
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60
Torque/Speed Curve (cont.)
)(2
3
)( '2
2
max'
2
'
2
max X X
V
T and X X
R
S th
th
S th
T
)()/()/(
)/()/()(
)()/(
)()/(
max
2
max
'
2
2
max
'
2
2
max
'
2
2'
2
max
2'
2
2
max
'
2
2'
2
2'
2max
T T T
T
T thT
th
S
S
S RS R
S RS R
S
S
X X S R
X X S R
T
T
S S
S S
T
T
T
T
max
2max
2
max
2
If the stator resistance is small, so R th
may be neglected
and the ratio between the maximum torque and the torque developed at
any speed is given by:
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Problem
61
Torque Characteristics
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62
Torque Characteristics
2
2'
21
'
2
eq X s
R
R
V I
I 2’
I 1 X eq Req
X c
I c
RcV )s1(s
R' 2
d d
PT )1()(
3 '22'2 s
s
R I
2
2'
2
1
'
2
2 )1(3
eq X s
R
Rs
s RV
Consider The approximate equivalent circuit. The rotor current referred
to stator side is
Torque Characteristics
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63
Torque
n s
1
0ns
Tst
T
max
smax
s
s
s
s
n
nns
2
2'
21
'
2
2
3
eqs
d d
X s
R Rs
RV PT
Torque Characteristics
Torque Characteristics
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64
smax
T maxT
Torque
s
1
0
st
Small Slip
Large Slip
Maximum Torque
Torque Characteristics
Maximum Torque
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65
Maximum Torque
2
2'
21
'
2
23
eqs
d
d
X s
R
Rs
RV PT
2eq
21
'
2max X R
Rs
2
eq211s
2
max
X R R2V 3T
0s
T d
Set
Starting of IM
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66
Starting of IM
•
Problems: –
High starting current
–
Low starting torque
Starting of Induction Motor
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67
Starting of Induction Motor
2
eq
2'
21
' 2
X R R
V I
st
I 2’
I 1 X eq Req
X c
I c
RcV )s1(s
R' 2
Starting by Reducing Voltage
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68
Sta t g by educ g o tage
Torque
n
n s
s max
T st 1
T max T st 2
V 2 < V 1
V 1
2eq2'
21
' 2
X R R
V I
st
2eq
21
' 2
max X R
Rs
2eq
211s
2
max
X R R2
V 3T
22212
23
eq
'
s
'
st
X R R
RV T
Starting by Reducing Voltage
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69
g y g g
•
Starting current is reduced (good)
•
Starting torque is reduced (cannot start heavy
loads)
•
Maximum torque is reduced (Motor acceleration
is low)•
Speed at maximum torque is unchanged
Starting by Adding Rotor Resistance
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70
g y g
Torque
n
n s
s max
T st1 T st3=T max
T st2
Radd3 Radd2
Radd1
Radd3 > Radd2 > Radd1
2eq2'
21
' 2
X R R
V I
st
2eq
21
' 2
max X R
Rs
2eq
211s
2
max
X R R2
V 3T
22212
2
3
eq
'
s
'
st
X R R RV T
Starting by Adding rotor resistance
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71
g y g
•
Starting current is reduced (good)
•
Starting torque is increased (good)
•
Maximum torque is unchanged (Motoracceleration is high)
•
Speed at maximum torque is reduced
Methods Of Impro ing Starting Torq e
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72
Methods Of Improving Starting Torque
In creasing the resistance of the rotor conductors
Using a combination of high and low resistance
Conductors
Using a wire wound rotor connected to variable
resistor
Torque/Speed Curve for varying R
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73
Torque/Speed Curve for varying R2
The maximum torque isindependent of the rotorresistance. However, the value of
the rotor resistance determinesthe slip at which the maximumtorque will occur. The torque-slipcharacteristics for various values
of are shown.
To get maximum torque atstarting::
)(
)(23
'
2
'
2
max
'
2
2
max
X X
RS
X X V T
th
T
th
th
S
)(..1 22max X X ReiS thT
T
NL~nsn
T
r1nr2nr3nn
r3n
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Maximum Torque
Effect of rotor resistance on torque-speed characteristic74
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75
Stator current and input power factor
From the IEEE recommended equivalent circuit, the input impedance Zinis:
The stator current I1
is :
And the input power factor is :
p.f. = cos ()
inin
m
m
in
Z Z
X X jS
R
jX S
R jX
jX R Z '
2
'
2
'2
'
2
11
in Z V I 11
R 2‘ /SV 1 jX m
R1 jX 1 jX2
’
I 1
I 1
T
p.f.
01
s
T st
art
No-load Starting
Typical Induction MotorTypical Induction Motor
CharacteristicsCharacteristics
Maximum or
pull-out torque
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76
Classes of squirrel-cage motors
According to the National Electrical Manufacturing Association
(NEMA) criteria, squirrel-cage motors are classified into class A, B,
C or D. The torque-speed curves and the design characteristics for
these classes are :
Rated
Load Slip
Starting
Torque
Starting
Current
Class
< 5% Normal Normal A
< 5% NormalLow B
< 5%HighLowC
8-13 %Very HighLow D
A D
C
B
Speed control of induction motorsSpeed control of induction motors
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77
Speed control of induction motorsSpeed control of induction motors
1- Stator voltage Control
Rotor
T
Vs2
i
a
i
L
v A
N
T
1
T
4
v B
N vC
N
T
3
T
6T
5
T 2
i
b
i
c
N B
C
A
Rotor
T
NL~nsn
T
r1nr2nr3nn
r3n>r2n>r1n
1V
2V
3V
3V>2V>1V
V decreasing
Speed control of induction motorsSpeed control of induction motors
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78
Speed control of induction motorsSpeed control of induction motors
2- Stator Frequency Controlnm=(1-S)ns , ns= 120 f s /P
Torque-Speed curves at different
stator frequencies with constantvoltage supply
Rotor
i L
N B
C
A
Rectifie
r
AC→
DC
Inverter
DC →
AC
f Control
filter
ns1
ns3
1
3
2
1 > f 2 > f 3
Speed
Torque
ns2
2
2
21
2
23
eq
'
s
'
d
X s
R Rs
RV T
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79
Speed control of induction motorsSpeed control of induction motors
3. Rotor voltage Control (Slip-Energy Recovery)
For wound rotor induction motor only
Advantages: Advantages:• Very simple
• Very useful at starting:
(high starting torque & low starting current)
Drawbacks: Drawbacks:• Low efficiency:extra losses
• Slow control
• unbalance problems if the three
resistors are unequal.
a-
Classical technique:
Variation of rotor circuit resistance
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80
Speed control of induction motorsSpeed control of induction motors
b-
An alternative methods of varying rotor-circuit resistance
Using three-phase diode bridge and a single variable resistor
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81
Speed control of induction motorsSpeed control of induction motors
c-
Slip-Energy Recovery System
Diode Rectifier Controlled Inverter
Starting of Induction Motors
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82
Starting of Induction Motors
1-
Direct-On-Line Starting
Induction motors when started by connecting them directly across
the
supply line take 5 to 8 times their full-load current. This initial excessive
current may cause large line voltage drop that affects the operation of otherelectrical equipment connected to the same lines. This method is
suitable
for small motors up to 10-hp rating.
2-
Auto-transformer
A three-phase step-down autotransformer may be employed as a reducedvoltage starter. As the motor approaches full speed, the autotransformer is
switched out of the circuit.
Starting of Induction Motors
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83
R ext
decreases
Starting of Induction Motors
3-
Star-delta methodThe normal connection of the stator windings is delta
while running. If these windings are connected in star
at starting, the phase voltage is reduced, resulting in
less current at starting. As the motor approaches thefull speed, the windings will be connected in delta.
4-
A solid-state controller
The controller can provide smooth starting.
5-
Using an external resistance in series with the rotor
For wound rotor induction motor only. The external
resistance can be chosen to get high torque and low
current at starting and can be decreased as motor
starts up.
SINGLE PHASE INDUCTION
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The single-phase induction machine is the most
frequently used motor for refrigerators, washing
machines, clocks, drills, compressors, pumps, andso forth.
The single-phase motor stator has a laminated iron
core with two windings arranged perpendicularly.
One is the main and
The other is the auxiliary winding or starting
winding
MOTOR
84
Nameplate
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85
Nameplate
SINGLE PHASE INDUCTION
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MOTOR
86
MOTOR
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MOTOR
This “single-phase”
motors are truly two-
phase machines.
The motor uses a
squirrel cage rotor,
which has a laminated
iron core with slots.
Aluminum bars are
molded on the slots and
short-circuited at bothends with a ring.
Stator with laminated
iron core Slots with winding
Bars
Ring to short
circuit the barsStarting winding
+
_
Main winding
Rotor withlaminated
iron core+
_
Single-phase induction motor.
87
SINGLE PHASE INDUCTION
MOTOR
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MOTOR
Squirrel cage rotor