UNIT IV - INDUCTION MACHINES
Induction motor:- Construction and principle of
operation, Classification of induction motor,
Torque equation, Condition for maximum torque,
Equivalent Circuit, Starting methods and Speed
control of induction motors.
Classification of A.C motor
As regards their principle of operation
 Synchronous Motor
 Asynchronous Motor (Induction Motor)
Squirrel Cage Rotor
Slip Ring Rotor
As regards the type of current,
 Single Phase
 Three Phase
Introduction:
The conversion of electrical power into mechanical power takes
place in the rotating part of an electric motor. In d.c motor, the electric
power is conducted directly to the armature through brushes and
commutator. Hence, d.c motor can be called as conduction motor.
In a.c motor rotor receive electric power by induction as same as
secondary winding of transformer. Hence, it is called as induction motor
and also called as rotating transformer.
Advantages:
 It has simple construction.
 Its cost is low and it is reliable.
 It has sufficiently high efficiency.
 It requires minimum of maintenance.
 Its an self starting motor.
Disadvantages:
 Its starting torque is low.
 Its speed decrease with increase in load.
4
Introduction
General aspects
• A induction machine can be used as either a
induction generator or a induction motor.
• Induction motors are popularly used in the
industry
• Focus on three-phase induction motor
• Main features: cheap and low maintenance
• Main disadvantages: speed control is not easy
Introduction
• Three-phase induction motors are the most common
and frequently encountered machines in industry
– simple design, rugged, low-price, easy maintenance
– wide range of power ratings: fractional horsepower to 10 MW
– run essentially as constant speed from no-load to full load
– Its speed depends on the frequency of the power source
• not easy to have variable speed control
• requires a variable-frequency power-electronic drive for
optimal speed control
CONSTRUCTION
• The three basic parts of an AC motor are the
rotor, stator, and enclosure.
• The stator and the rotor are electrical circuits
that perform as electromagnets.
MZS
FKEE, UMP
10
Construction (Stator construction)
• The stator is the stationary electrical part of the motor.
• The stator core is made up of several hundred thin laminations.
• Stator laminations are stacked together forming a hollow cylinder. Coils
of insulated wire are inserted into slots of the stator core.
• Electromagnetism is the principle behind motor operation. Each
grouping of coils, together with the steel core it surrounds, form an
electromagnet. The stator windings are connected directly to the power
source.
11
• Induction motor types:
 Squirrel cage type:
Rotor winding is composed of copper bars embedded in
the rotor slots and shorted at both end by end rings
Simple, low cost, robust, low maintenance
 Wound rotor type:
Rotor winding is wound by wires. The winding terminals
can be connected to external circuits through slip rings
and brushes.
Easy to control speed, more expensive.
Construction (Rotor construction)
MZS
FKEE, UMP
14
Construction (Rotor construction)
Squirrel-Cage Rotor
/rotor winding
Short circuits all
rotor bars.
Wound rotor
• Used in high starting torque requirements
• 3-phase windings are internally connected to
form an internal neutral connection
• Other 3 ends are connected to the slip-rings
• With the brushes riding on the slip-rings, we
can add external resistances in the rotor
circuit - can control the developed torque
15
EE2802
16
EE2802
EE2802 17
Disadvantages:
• Expensive
• Less efficient
• Heavier, large in size
• Increased maintenance
18
Construction (Enclosure)
• The enclosure consists of a frame (or yoke) and two end
brackets (or bearing housings). The stator is mounted inside the
frame. The rotor fits inside the stator with a slight air gap
separating it from the stator. There is NO direct physical
connection between the rotor and the stator.
Stator
Rotor
Air gap
• The enclosure also protects the electrical
and operating parts of the motor from
harmful effects of the environment in which
the motor operates. Bearings, mounted on
the shaft, support the rotor and allow it to
turn. A fan, also mounted on the shaft, is
used on the motor shown below for cooling.
20
Rotating Magnetic Field
• When a 3 phase stator winding is connected to a 3 phase voltage
supply, 3 phase current will flow in the windings, which also will
induced 3 phase flux in the stator.
• These flux will rotate at a speed called a Synchronous Speed, ns.
The flux is called as Rotating magnetic Field
• Synchronous speed: speed of rotating flux
• Where; p = is the number of poles, and
f = the frequency of supply
p
f
ns
120

• Sinusoidal winding for each phase produces space sinusoidal
MMF and flux

F()
t
i(t)
This is the excitation
current which is sinusoidal
with time
• Sinusoidal winding for each phase produces space sinusoidal
MMF and flux
• Sinusoidal current excitation (with frequency s) in a phase produces space sinusoidal
standing wave MMF

F()
t
i(t)
t = 0
0
• Sinusoidal winding for each phase produces space sinusoidal
MMF and flux
• Sinusoidal current excitation (with frequency s) in a phase produces space sinusoidal
standing wave MMF
F()

t
i(t)
 2
t = t1
t1
• Sinusoidal winding for each phase produces space sinusoidal
MMF and flux
• Sinusoidal current excitation (with frequency s) in a phase produces space sinusoidal
standing wave MMF
F()

t
i(t)
 2
t = t2
t2
• Sinusoidal winding for each phase produces space sinusoidal
MMF and flux
• Sinusoidal current excitation (with frequency s) in a phase produces space sinusoidal
standing wave MMF
F()

t
i(t)
 2
t = t3
t3
• Sinusoidal winding for each phase produces space sinusoidal
MMF and flux
• Sinusoidal current excitation (with frequency s) in a phase produces space sinusoidal
standing wave MMF
F()

t
i(t)
 2
t = t4
t4
• Sinusoidal winding for each phase produces space sinusoidal
MMF and flux
• Sinusoidal current excitation (with frequency s) in a phase produces space sinusoidal
standing wave MMF
F()

t
i(t)
 2
t = t5
t5
• Sinusoidal winding for each phase produces space sinusoidal
MMF and flux
• Sinusoidal current excitation (with frequency s) in a phase produces space sinusoidal
standing wave MMF
F()

t
i(t)
 2
t = t6
t6
• Sinusoidal winding for each phase produces space sinusoidal
MMF and flux
• Sinusoidal current excitation (with frequency s) in a phase produces space sinusoidal
standing wave MMF
F()

t
i(t)
 2
t = t7
t7
• Sinusoidal winding for each phase produces space sinusoidal
MMF and flux
• Sinusoidal current excitation (with frequency s) in a phase produces space sinusoidal
standing wave MMF
F()

t
i(t)
 2
t = t8
t8
Combination of 3 standing waves resulted in ROTATING MMF wave
38
Principle of Operation
• Torque producing mechanism
 When a 3 phase stator winding is connected to a 3 phase
voltage supply, 3 phase current will flow in the windings,
hence the stator is energized.
 A rotating flux Φ is produced in the air gap. The flux Φ
induces a voltage Ea in the rotor winding (like a
transformer).
 The induced voltage produces rotor current, if rotor circuit
is closed.
 The rotor current interacts with the flux Φ, producing
torque. The rotor rotates in the direction of the rotating
flux.
Principle of operation:
Let the stator be connected to three phase supply, then the flux produced will
be of constant magnitude and let it be assumed that it is rotating in a counter clockwise
direction as in fig. 3.2a. When the stator flux cuts the stationary rotor conductors an
emf is induced in it. This emf will cause to flow the current when the rotor conductor is
in close path due the current flow it will produce the flux in clockwise direction as fig.
3.2b.
Fig.3.2c shows the resultant flux which bends round the conductor and a torque is set
up in the same direction as the stator field. Hence the rotor rotates in the same direction
as that of the rotating magnetic field.
Fig. 3.2
40
Direction of Rotor Rotates
• Q: How to change the direction of
• rotation?
• • A: Change the phase sequence of the
• power supply.
sync m
sync
n n
s
n


Slip:
The difference between the synchronous speed (rotating magnetic field) and the rotor
speed is known as slip. It is expressed as
Where, Ns – speed of the rotating magnetic field
N – Motor speed.
Rotor Frequency:
When the rotor is stationary, the relative speed between the rotor winding and the
rotating magnetic field is Ns. Hence the frequency of emf induced and the resultant current is
PNs/120 which is the same as the supply frequency (f). As the rotor speeds up, the relative
speed is (Ns-N) and hence the rotor frequency is
s
S
Slip
N
N

 s
)
(
N
sf
f
P
P
f
s
f
frequency
Rotor
P
N
N
P
rpm
in
speed
lative
f
r
r
s
r





120
*
120
*
,
120
120
Re
get
we
eqn
in
P
f
s
sN
N
N
sub
P
f
s
sN
N
N
N
N
N
s
slip
ce
s
s
s
s
s
s
,
1
.
120
*
.
120
*
,
sin








1
Torque - Speed of an induction motor:
Equivalent Circuit of Induction Machines
REGULATION OF ALTERNATOR
• EMF Method
Synchronous impedance method
Pessimistic method
• MMF Method
Rothert ampere turn method
Optimistic method
STARTING OF
THREE PHASE INDUCTION MOTOR
TYPES OF INDUCTION MOTOR
STARTERS
Direct online starter
Squirrel cage motor
• Primary resistor (or) rheostat starter
• Auto transformer starter
• Star to delta starter
Slip ring motor
• Rotor rheostat starter
DIRECT ONLINE STARTER
Rotor Input=2πNsT=kT
Rotor Copper Loss=s*rotor input
3I2
R=s*kT
TαI2
R/s
At starting, s=1
Tst=kIst
2
R
Tf=kIf
2
R/sf
Tst/Tf=(Ist
2
/If
2
)sf
When the motor is direct switched onto normal voltage,
then starting current is the short circuit current.
Tst/Tf=(Isc/If)2
sf
Tst/Tf=a2
sf
PRIMARY RESISTOR (OR) RHEOSTAT
STARTER
By using primary resistor starter, the applied voltage/phase
can be reduced by a fraction ‘x’.
Starting current, Ist=xIsc and full load current is If
Tst/Tf=(Ist
2
/If
2
)sf = (xIsc/If)2
sf = x2
(Isc/If)2
sf =x2
a2
sf
The ratio of starting torque to full load torque is x2
,this
method of starter is useful for smooth starting of small
machines.
AUTO TRANSFORMER STARTER
3Φ Supply
Advantages:
 Voltage is reduced by transformation and not dropping the voltage
like primary resistor starter.
 During starting period the internal losses of the starter are small.
 Adjustment of starting voltage by selection of proper tap on the
auto transformer.
In direct switching the voltage across the phase is V/ and starting current is Ist=Isc and
in autotransformer starter, the voltage per phase is KV/ and Ist=KIsc.
Starting torque, Tst=kIst
2
R
Full load torque,Tf=kIf
2
R/sf
Tst/Tf=(Ist
2
/If
2
)sf = (KIsc/If)2
sf = K2
(Isc/If)2
sf =K2
a2
sf
3
3
STAR TO DELTA STARTER
Switch
A1
B1
C1
A2
C2
B2
B2
A2
A1
B1
C1
C2
A1
C1
A2B2C2
B1
Star connection
Delta connection
Starting torque ,Tst=kIst
2
R
Full load torque,Tf=kIf
2
R/sf
Tst/Tf=(Ist
2
/If
2
)sf = (Isc/√3If)2
sf = (1/3)(Isc/If)2
sf =(1/3)a2
sf
ROTOR RHEOSTAT STARTER
BRUSHES
SPEED CONTROL OF THREE PHASE INDUCTION MOTOR
The speed of an induction motor can be controlled by two major methods. They are,
1. Stator side control
 Stator voltage control
 Stator frequency control
 V/f control
 Pole changing method
2. Rotor side control
 Adding external resistance in the rotor circuit
 Cascade control
 Slip power recovery scheme
• Kramers System
• Scherbius scheme
Change in stator voltage:
1. Using autotransformer:
2. Primary resistor connected in series with stator winding:
Change in stator frequency:
Synchronous speed of the induction motor, Ns=120f/p
Voltage/ frequency control:
Pole changing method:
6 number of poles
12 number of poles
Rotor side control:
1. Cascade control (or) tandem control:
It consists of two slip ring induction motors. A three phase supply is fed to the stator of main
motor. The slip ring voltage of main motor is fed to the stator of auxiliary motor. This type of
connection is called as cascade connection or concatenation or tandem connection.
Let,
P1 – Number of poles of main motor.
P2 - Number of poles of auxiliary motor.
f - Supply frequency
f1 – Slip frequency of main motor
f2 – Slip frequency of auxiliary motor
N – Speed of both motor.
Synchronous speed of the main motor is given by
Slip for main motor is
f1 – frequency of rotor induced emf of main motor
f1=s1f
The supply frequency of the auxiliary motor is f1=f2
Under no load condition, the speed of the auxiliary motor is N. It is
approximately equal to its synchronous speed Ns2
Therefore, Ns2=N













































 

f
Np
p
f
N
p
f
N
p
f
N
N
p
f
N
N
N
p
f
N
s
s
s
120
1
120
120
1
120
1
120
120
1
2
1
2
1
2
1
1
2
 
 
1
2
1
2
2
2
1
2
2
2
1
2
2
1
2
1
2
120
120
120
120
1
120
120
p
p
f
N
f
p
p
N
p
f
p
p
p
N
p
f
p
p
N
p
f
p
Np
N
p
Np
p
f
N












 














Cascade control method will give four different speeds,
1. Main motor alone, Ns=(120f)/P1
2. Auxiliary motor alone, Ns=(120f)/P2
3. Cumulative cascade connection, N=(120f)/(P1+P2)
4. Differential cascade connection, N=(120f)/(P1-P2)
Disadvantages:
 This method requires two motors
 More expensive
 Wide range of speed control is not possible.
2.Adding external resistance in the rotor circuit (or) rotor rheostat control:
The torque equation of an induction motor is
The slip corresponding to maximum torque is given by
The maximum torque equation is
The starting torque equation is
2
2
2
2
2
2
2
)
(sX
R
R
sE
T


2
2
2
, R
s
X
R
s m
m 

2
2
2
max
2X
E
T 
2
2
2
2
2
2
2
X
R
R
E
Tst


Advantages:
 Smooth and wide range of speed control.
 Absence of in-rush starting current.
 Availability of full rated torque at starting.
Disadvantages:
 Reduced efficiency because of slip power is wasted in the rotor circuit resistance.
Unbalance in voltage and current if rotor circuit resistance are not equal.
 Speed changes with load variation.
3. Slip power recovery scheme
 Kramer’s System
Three phase input is given to stator of slip ring induction motor, its rotor slip
connected to rotary converter. The dc output of the rotary converter is fed to armature of dc
motor which is mechanically coupled with slip ring induction motor. Both rotary converter and
dc motor are excited with dc. The speed of the induction motor is adjusted by varying the speed
of dc motor with the help of field regulator. This method is also called as electromechanical
cascade.
Advantages:
 Variable speed can be obtained within the working range.
 This method improves the power factor of the system.
 Scherbius scheme:

UNIT 4 IMaaaaaaaaaaaaaaaaaaaaaaaaaaa.pptx

  • 1.
    UNIT IV -INDUCTION MACHINES Induction motor:- Construction and principle of operation, Classification of induction motor, Torque equation, Condition for maximum torque, Equivalent Circuit, Starting methods and Speed control of induction motors.
  • 2.
    Classification of A.Cmotor As regards their principle of operation  Synchronous Motor  Asynchronous Motor (Induction Motor) Squirrel Cage Rotor Slip Ring Rotor As regards the type of current,  Single Phase  Three Phase
  • 3.
    Introduction: The conversion ofelectrical power into mechanical power takes place in the rotating part of an electric motor. In d.c motor, the electric power is conducted directly to the armature through brushes and commutator. Hence, d.c motor can be called as conduction motor. In a.c motor rotor receive electric power by induction as same as secondary winding of transformer. Hence, it is called as induction motor and also called as rotating transformer. Advantages:  It has simple construction.  Its cost is low and it is reliable.  It has sufficiently high efficiency.  It requires minimum of maintenance.  Its an self starting motor. Disadvantages:  Its starting torque is low.  Its speed decrease with increase in load.
  • 4.
    4 Introduction General aspects • Ainduction machine can be used as either a induction generator or a induction motor. • Induction motors are popularly used in the industry • Focus on three-phase induction motor • Main features: cheap and low maintenance • Main disadvantages: speed control is not easy
  • 5.
    Introduction • Three-phase inductionmotors are the most common and frequently encountered machines in industry – simple design, rugged, low-price, easy maintenance – wide range of power ratings: fractional horsepower to 10 MW – run essentially as constant speed from no-load to full load – Its speed depends on the frequency of the power source • not easy to have variable speed control • requires a variable-frequency power-electronic drive for optimal speed control
  • 6.
  • 8.
    • The threebasic parts of an AC motor are the rotor, stator, and enclosure. • The stator and the rotor are electrical circuits that perform as electromagnets.
  • 10.
    MZS FKEE, UMP 10 Construction (Statorconstruction) • The stator is the stationary electrical part of the motor. • The stator core is made up of several hundred thin laminations. • Stator laminations are stacked together forming a hollow cylinder. Coils of insulated wire are inserted into slots of the stator core. • Electromagnetism is the principle behind motor operation. Each grouping of coils, together with the steel core it surrounds, form an electromagnet. The stator windings are connected directly to the power source.
  • 11.
    11 • Induction motortypes:  Squirrel cage type: Rotor winding is composed of copper bars embedded in the rotor slots and shorted at both end by end rings Simple, low cost, robust, low maintenance  Wound rotor type: Rotor winding is wound by wires. The winding terminals can be connected to external circuits through slip rings and brushes. Easy to control speed, more expensive. Construction (Rotor construction)
  • 14.
    MZS FKEE, UMP 14 Construction (Rotorconstruction) Squirrel-Cage Rotor /rotor winding Short circuits all rotor bars.
  • 15.
    Wound rotor • Usedin high starting torque requirements • 3-phase windings are internally connected to form an internal neutral connection • Other 3 ends are connected to the slip-rings • With the brushes riding on the slip-rings, we can add external resistances in the rotor circuit - can control the developed torque 15 EE2802
  • 16.
  • 17.
    EE2802 17 Disadvantages: • Expensive •Less efficient • Heavier, large in size • Increased maintenance
  • 18.
    18 Construction (Enclosure) • Theenclosure consists of a frame (or yoke) and two end brackets (or bearing housings). The stator is mounted inside the frame. The rotor fits inside the stator with a slight air gap separating it from the stator. There is NO direct physical connection between the rotor and the stator. Stator Rotor Air gap • The enclosure also protects the electrical and operating parts of the motor from harmful effects of the environment in which the motor operates. Bearings, mounted on the shaft, support the rotor and allow it to turn. A fan, also mounted on the shaft, is used on the motor shown below for cooling.
  • 20.
    20 Rotating Magnetic Field •When a 3 phase stator winding is connected to a 3 phase voltage supply, 3 phase current will flow in the windings, which also will induced 3 phase flux in the stator. • These flux will rotate at a speed called a Synchronous Speed, ns. The flux is called as Rotating magnetic Field • Synchronous speed: speed of rotating flux • Where; p = is the number of poles, and f = the frequency of supply p f ns 120 
  • 21.
    • Sinusoidal windingfor each phase produces space sinusoidal MMF and flux  F() t i(t) This is the excitation current which is sinusoidal with time
  • 22.
    • Sinusoidal windingfor each phase produces space sinusoidal MMF and flux • Sinusoidal current excitation (with frequency s) in a phase produces space sinusoidal standing wave MMF  F() t i(t) t = 0 0
  • 23.
    • Sinusoidal windingfor each phase produces space sinusoidal MMF and flux • Sinusoidal current excitation (with frequency s) in a phase produces space sinusoidal standing wave MMF F()  t i(t)  2 t = t1 t1
  • 24.
    • Sinusoidal windingfor each phase produces space sinusoidal MMF and flux • Sinusoidal current excitation (with frequency s) in a phase produces space sinusoidal standing wave MMF F()  t i(t)  2 t = t2 t2
  • 25.
    • Sinusoidal windingfor each phase produces space sinusoidal MMF and flux • Sinusoidal current excitation (with frequency s) in a phase produces space sinusoidal standing wave MMF F()  t i(t)  2 t = t3 t3
  • 26.
    • Sinusoidal windingfor each phase produces space sinusoidal MMF and flux • Sinusoidal current excitation (with frequency s) in a phase produces space sinusoidal standing wave MMF F()  t i(t)  2 t = t4 t4
  • 27.
    • Sinusoidal windingfor each phase produces space sinusoidal MMF and flux • Sinusoidal current excitation (with frequency s) in a phase produces space sinusoidal standing wave MMF F()  t i(t)  2 t = t5 t5
  • 28.
    • Sinusoidal windingfor each phase produces space sinusoidal MMF and flux • Sinusoidal current excitation (with frequency s) in a phase produces space sinusoidal standing wave MMF F()  t i(t)  2 t = t6 t6
  • 29.
    • Sinusoidal windingfor each phase produces space sinusoidal MMF and flux • Sinusoidal current excitation (with frequency s) in a phase produces space sinusoidal standing wave MMF F()  t i(t)  2 t = t7 t7
  • 30.
    • Sinusoidal windingfor each phase produces space sinusoidal MMF and flux • Sinusoidal current excitation (with frequency s) in a phase produces space sinusoidal standing wave MMF F()  t i(t)  2 t = t8 t8
  • 31.
    Combination of 3standing waves resulted in ROTATING MMF wave
  • 38.
    38 Principle of Operation •Torque producing mechanism  When a 3 phase stator winding is connected to a 3 phase voltage supply, 3 phase current will flow in the windings, hence the stator is energized.  A rotating flux Φ is produced in the air gap. The flux Φ induces a voltage Ea in the rotor winding (like a transformer).  The induced voltage produces rotor current, if rotor circuit is closed.  The rotor current interacts with the flux Φ, producing torque. The rotor rotates in the direction of the rotating flux.
  • 39.
    Principle of operation: Letthe stator be connected to three phase supply, then the flux produced will be of constant magnitude and let it be assumed that it is rotating in a counter clockwise direction as in fig. 3.2a. When the stator flux cuts the stationary rotor conductors an emf is induced in it. This emf will cause to flow the current when the rotor conductor is in close path due the current flow it will produce the flux in clockwise direction as fig. 3.2b. Fig.3.2c shows the resultant flux which bends round the conductor and a torque is set up in the same direction as the stator field. Hence the rotor rotates in the same direction as that of the rotating magnetic field. Fig. 3.2
  • 40.
    40 Direction of RotorRotates • Q: How to change the direction of • rotation? • • A: Change the phase sequence of the • power supply.
  • 43.
  • 44.
    Slip: The difference betweenthe synchronous speed (rotating magnetic field) and the rotor speed is known as slip. It is expressed as Where, Ns – speed of the rotating magnetic field N – Motor speed. Rotor Frequency: When the rotor is stationary, the relative speed between the rotor winding and the rotating magnetic field is Ns. Hence the frequency of emf induced and the resultant current is PNs/120 which is the same as the supply frequency (f). As the rotor speeds up, the relative speed is (Ns-N) and hence the rotor frequency is s S Slip N N   s ) ( N sf f P P f s f frequency Rotor P N N P rpm in speed lative f r r s r      120 * 120 * , 120 120 Re get we eqn in P f s sN N N sub P f s sN N N N N N s slip ce s s s s s s , 1 . 120 * . 120 * , sin         1
  • 65.
    Torque - Speedof an induction motor:
  • 66.
    Equivalent Circuit ofInduction Machines
  • 83.
    REGULATION OF ALTERNATOR •EMF Method Synchronous impedance method Pessimistic method • MMF Method Rothert ampere turn method Optimistic method
  • 84.
    STARTING OF THREE PHASEINDUCTION MOTOR
  • 85.
    TYPES OF INDUCTIONMOTOR STARTERS Direct online starter Squirrel cage motor • Primary resistor (or) rheostat starter • Auto transformer starter • Star to delta starter Slip ring motor • Rotor rheostat starter
  • 86.
  • 87.
    Rotor Input=2πNsT=kT Rotor CopperLoss=s*rotor input 3I2 R=s*kT TαI2 R/s At starting, s=1 Tst=kIst 2 R Tf=kIf 2 R/sf Tst/Tf=(Ist 2 /If 2 )sf When the motor is direct switched onto normal voltage, then starting current is the short circuit current. Tst/Tf=(Isc/If)2 sf Tst/Tf=a2 sf
  • 88.
    PRIMARY RESISTOR (OR)RHEOSTAT STARTER
  • 89.
    By using primaryresistor starter, the applied voltage/phase can be reduced by a fraction ‘x’. Starting current, Ist=xIsc and full load current is If Tst/Tf=(Ist 2 /If 2 )sf = (xIsc/If)2 sf = x2 (Isc/If)2 sf =x2 a2 sf The ratio of starting torque to full load torque is x2 ,this method of starter is useful for smooth starting of small machines.
  • 90.
  • 92.
    Advantages:  Voltage isreduced by transformation and not dropping the voltage like primary resistor starter.  During starting period the internal losses of the starter are small.  Adjustment of starting voltage by selection of proper tap on the auto transformer. In direct switching the voltage across the phase is V/ and starting current is Ist=Isc and in autotransformer starter, the voltage per phase is KV/ and Ist=KIsc. Starting torque, Tst=kIst 2 R Full load torque,Tf=kIf 2 R/sf Tst/Tf=(Ist 2 /If 2 )sf = (KIsc/If)2 sf = K2 (Isc/If)2 sf =K2 a2 sf 3 3
  • 93.
    STAR TO DELTASTARTER Switch A1 B1 C1 A2 C2 B2
  • 94.
  • 95.
    Starting torque ,Tst=kIst 2 R Fullload torque,Tf=kIf 2 R/sf Tst/Tf=(Ist 2 /If 2 )sf = (Isc/√3If)2 sf = (1/3)(Isc/If)2 sf =(1/3)a2 sf
  • 96.
  • 97.
    SPEED CONTROL OFTHREE PHASE INDUCTION MOTOR The speed of an induction motor can be controlled by two major methods. They are, 1. Stator side control  Stator voltage control  Stator frequency control  V/f control  Pole changing method 2. Rotor side control  Adding external resistance in the rotor circuit  Cascade control  Slip power recovery scheme • Kramers System • Scherbius scheme
  • 98.
    Change in statorvoltage: 1. Using autotransformer: 2. Primary resistor connected in series with stator winding:
  • 99.
    Change in statorfrequency: Synchronous speed of the induction motor, Ns=120f/p Voltage/ frequency control:
  • 100.
    Pole changing method: 6number of poles
  • 101.
  • 102.
    Rotor side control: 1.Cascade control (or) tandem control: It consists of two slip ring induction motors. A three phase supply is fed to the stator of main motor. The slip ring voltage of main motor is fed to the stator of auxiliary motor. This type of connection is called as cascade connection or concatenation or tandem connection.
  • 103.
    Let, P1 – Numberof poles of main motor. P2 - Number of poles of auxiliary motor. f - Supply frequency f1 – Slip frequency of main motor f2 – Slip frequency of auxiliary motor N – Speed of both motor. Synchronous speed of the main motor is given by Slip for main motor is f1 – frequency of rotor induced emf of main motor f1=s1f The supply frequency of the auxiliary motor is f1=f2
  • 104.
    Under no loadcondition, the speed of the auxiliary motor is N. It is approximately equal to its synchronous speed Ns2 Therefore, Ns2=N                                                 f Np p f N p f N p f N N p f N N N p f N s s s 120 1 120 120 1 120 1 120 120 1 2 1 2 1 2 1 1 2
  • 105.
  • 106.
    Cascade control methodwill give four different speeds, 1. Main motor alone, Ns=(120f)/P1 2. Auxiliary motor alone, Ns=(120f)/P2 3. Cumulative cascade connection, N=(120f)/(P1+P2) 4. Differential cascade connection, N=(120f)/(P1-P2) Disadvantages:  This method requires two motors  More expensive  Wide range of speed control is not possible.
  • 107.
    2.Adding external resistancein the rotor circuit (or) rotor rheostat control: The torque equation of an induction motor is The slip corresponding to maximum torque is given by The maximum torque equation is The starting torque equation is 2 2 2 2 2 2 2 ) (sX R R sE T   2 2 2 , R s X R s m m   2 2 2 max 2X E T  2 2 2 2 2 2 2 X R R E Tst  
  • 108.
    Advantages:  Smooth andwide range of speed control.  Absence of in-rush starting current.  Availability of full rated torque at starting. Disadvantages:  Reduced efficiency because of slip power is wasted in the rotor circuit resistance. Unbalance in voltage and current if rotor circuit resistance are not equal.  Speed changes with load variation.
  • 109.
    3. Slip powerrecovery scheme  Kramer’s System Three phase input is given to stator of slip ring induction motor, its rotor slip connected to rotary converter. The dc output of the rotary converter is fed to armature of dc motor which is mechanically coupled with slip ring induction motor. Both rotary converter and dc motor are excited with dc. The speed of the induction motor is adjusted by varying the speed of dc motor with the help of field regulator. This method is also called as electromechanical cascade. Advantages:  Variable speed can be obtained within the working range.  This method improves the power factor of the system.
  • 110.