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DC Generator
According to faradays law of electromagnetic
induction, whenever a conductor is moved in
magnetic field, dynamically induced emf is
produced in the conductor.
Construction
Magnetic frame
Protective cover & mechanical support
Carries magnetic flux produced by the poles
Made up of cast iron and cast steel.
Poles
Made up of copper wire.
Current is passed through coils becomes
electromagnet and starts establishing magnetic field in
the machine and flux is distributed through the pole
Armature
Consists of armature core/
conductors/coils and
armature windings
It rotates under poles and
flux produced by field magnets
is cut by the armature conductors.
Commutator
Converts alternating emf to unidirectional emf
Brushes and Bearing
Collect the current from the commutator and
convey to external load
Principle of operation
Dynamically induced emf
Split ring arrangement for unidirectional emf
E M F induced in a DC Generator
• let Ø be the flux per pole in webers
• let P be the number of poles
• let Z be the total number of conductors in the
armature
• All the Z conductors are not connected in
series. They are divided into groups and let A be
the number of parallel paths into which these
conductors are grouped.
• Each parallel path will have Z/A conductors in
series
• Let N be the speed of rotation in revolution
per minute (rpm)
• Consider one conductor on the periphery of
the armature. As this conductor makes one
complete revolution, it cuts PØ webers.
• As the speed is N rpm, the time taken for one
revolution is 60/N sec.
• Since the emf induced in the conductor is
equal to rate of change of flux cut.
• e α dØ/dt
= (PØ)/60/N
e = PNØ/60 volts
Since there are Z/A conductors in series in each
parallel path the emf induced
E g = (NPØ/60) (Z/A) volts
E g = (ØZN/60)(P/A) volts
• The armature conductors are generally connected
in two different ways, viz, lap winding and wave
winding. For lap wound armature A=P. In wave
wound machine, A = 2,always
Types of DC Generators
According to their methods of field
excitation, DC Generators are classified into
two types.
• Separately excited DC generator
• Self-excited DC generator
Separately excited DC generator
• I a = I L
• Ra = Resistance of the armature winding
• Terminal Voltage V = E g-Ia R a – V brush
• V brush = voltage drop at the contact of the brush
• Generally V brush is negelected because of very
low value
• Generally emf E g = V+ I a R a + V brush
• Electric power developed = E gIa
• Power delivered to load = VI a
Self-excited DC Generators
• Series generator
• Shunt generator
• Compound generator
Series Generator
• I a = I L = I se
• Generated emf E g = V+ I a R a + I se R se + V brush
Where,
V = terminal voltage in volts
Ia R a = voltage drop in the armature
Ia R se = voltage drop in the series field winding resistance
V brush = brush drop
• Terminal voltage V = E g-Ia R a - I a R se – V brush
• Power developed in the armature = E gIa
• Power delivered to load = VI a orV I L
Shunt Generator
• Terminal voltage V = E g-Ia R a
• Shunt field current Ish =V/ R sh
• Armature current I a = I L + I sh
• Power developed by armature = E gIa
• Power delivered to load = V I L
Compound Generator
• Long shunt compound generator
• Short shunt compound generator
Long shunt compound generator
Long shunt compound generator
• Series field current I se = I a= I L + I sh
• Shunt field current Ish = V / R sh
• Generated emf E g = V + I a (R a + R sh) + V brush
• Terminal voltage V = E g – I a(R a+ R sh) – V brush
• Power developed in armature = E g I a
• Power delivered to load = V I L
Short shunt compound generator
Short shunt compound generator
• Series field current = I se =I L
• Load current = I L
• Armature current I a= I sh + I se
• Generated emf E g = V + I a R a + I se R se + V brush
• Voltage across shunt field winding = Ish R sh
• I sh R sh = E g – I a R a– V brush
= V + I a R a + I se R se + V brush – I a R a–V brush
= V + I se R se
Applications of DC Generators
• Shunt generators are used for supplying nearly
constant loads. They are used for battery
charging, for supplying the fields of synchronous
machines and separately excited DC machines
• Since the output voltage of a series generator
increases with load, series generators are ideal
for use as boosters for adding voltage to the
transmission line and to compensate for the line
drop.
• Compound generators maintain better voltage
regulation and hence find use where constancy of
voltage is required.
DC Motors
Principle of operation of DC Motor
• Whenever a current carrying conductor is placed in
magnetic field, the conductor experiences a force
tending to move it. (Lorentz force)
The direction of motion of conductor is given
by Fleming’s Left hand rule.
The magnitude of the force experienced by the
conductor is given by
F= BIL Newtons
Where,
B = magnitude of flux density in Wb/m2
I = current in amperes
L = length of the conductor in meters
Back EMF (or) Counter EMF
• The conductors are cutting flux and that is
exactly what is required for generator action
to take place.
• This means that even when machine is
working as a motor, voltage are induced in the
conductors. This emf is called as back emf or
counter emf(Lenz law)
• E b =(ØZN/60)(P/A) volts
Equivalent circuit of motor
• The voltage equation of this motor is
V= E b + I a R a
• Form this equation, armature current
I a = (V- E b )/ R a
Where,
V – applied voltage
E b = back emf
I a = armature current
R a = armature current
V - E b = net voltage in the armature circuit
Importance of Back EMF
• When DC motor is operating on no load condition,
Therefore the back emf is equal to input voltage and
armature current is small/decreseas.
• When the DC motor is operating on loaded
condition, speed decreases and motor back emf also
decreases. Corresponding armature current
increases.
• When load on the motor decreased, the speed
increases, the back emf also increases causing
armature current to decreases.
Regulates armature current
Voltage equation of DC motor
V – input voltage E b – back emf
R a – armature resistance; I a – armature current
I sh – shunt field current;R sh– shut field resistance
Voltage equation of DC motor
Here, the current flowing in the armature is
given by
I a = ( V – E b )/ R a
Or
V = E b + I a R a
This equation is known as voltage equation of a
DC motor.
Types of DC motors
According to their methods of field excitation,
DC motors are classified into two types.
• Separately excited DC motors
• Self-excited DC motors
. Series motor
. Shunt motor
. Compound motor
* long shunt compound motor
* short shunt compound motor
Separately excited DC motor
Separately excited DC motor
Armature current I a = line current I L
Back emf E b = V - I a R a – V brush
V brush is very small and therefore it is neglected
DC Series Motor
DC Series Motor
• I a = I L = I se
• The voltage equation is given by
V = E b+ I a R a + I se R se + V brush
I a = I se
V = E b+ I a ( R a + R se ) + V brush
V brush is neglected and hence
V = E b+ I a (R a + R se )
• Ø α I a α I a
DC Shunt Motor
DC Shunt Motor
• I L = I a + I sh
• I sh = V/ R sh
Voltage equation of a DC shunt motor is given by
V = E b+ I a R a + V brush
• Φ α I sh
DC Compound Motor
• Long shunt compound motor
• Short shunt compound motor
Long shunt Compound Motor
Long shunt Compound Motor
• I L = I se + I sh
• I se = I a
• I L = I a + I sh
• I sh = V/ R sh
• Voltage equation is given by
V = E b+I a R a + I se R se + V brush
Where I a = I se
V = E b+ I a ( R a + R se ) + V brush
Short Shunt Compound Motor
Short Shunt Compound Motor
• I L = I se
• I L = I a + I sh
• I L = I se = I a + I sh
• V = E b+Ia R a + Ise R se + V brush
• I se = I L
• V = E b+Ia R a + IL R se + V brush
• Voltage drop across the shunt field winding is = V
- I L = I se
• Vsh = E b+Ia R a + V brush
• I sh = V - IL R se / R sh
Cumulative Compound Motor
Differential Compound Motor
Torque Equation of a DC Motor
• Torque is nothing but turning or twisting force
about an axis
• Torque is measured by the product of force
and radius at which the force acts.
• The angular velocity of the wheel is
ω= (2ΠN)/60 rad/sec
Torque T = F × r (N-m)
Workdone per revolution = F × distance moved
= F × 2 Π r joules
Power developed P = workdone / time
= (F × 2 Π r)/time for 1 rev
= (F × 2 Π r)/(60/N)
(rpm = 60 ; rps = 60/N ; time for 1 rev = 60/N
P = (F × r) (2ΠN)/60
P = T ω watts
Where T = torque in N-m , ω = angular speed in rad/sec
• The gross mechanical power developed in the
armature is E b I a
• Then power in armature = armature torque × ω
E b Ia = Ta × (2ΠN)60
E b = PØZN/60A
PØZN/(60A) I a = Ta × (2ΠN)60
Ta = (Ø I a PZ)/ 2ΠA
Ta = (0.159Ø I a )(PZ/A) N-M
The above equation is torque equation of a DC motor.
Torque is proportional to the product of the armature
current and the flux
Speed control of DC shunt motor
For a Dc motor, the speed equation is obtained as follows
E b = V - I a R a
E b = PØZN/60A
V - I a R a = PØZN/60A
N = (V - I a R a )60A/ PØZ
Since for a given machine , Z,A and P are constants
N = K(V - I a R a )/Ø
Where K is a constant.
Speed equation becomes N α E b /Ø
Hence speed of the motor is directly proportional to back emf
and inversely proportional to flux. By varying flux and
voltage, the motor speed can be changed.
By varying resistance in armature circuit
By varying flux
Speed control of DC series motor
1. Variable resistance in series with motor
2. Flux control method
Field diverter Armature diverter
Tapped field control
For DC Shunt motor torque is directly proportional to
the armature current. For Dc series motor, the series field
current is equal to the armature current Ia
φ α Ia
HenceT α Ia α I2
a
For DC series motor, the torque is directly proportional to the
square of the armature current. The speed and torque
equations are mainly used for analyzing the various
characteristics of DC motors.
Applications of DC Motors
• DC shunt motor are used where speed has to maintain
nearly constant with load and where a high starting
torque is not required. Thus shunt motors may be used
for driving centrifugal pumps and light machine tools,
wood working machines, lathe etc.,
• Series motors are used where the load is directly
attached to the shaft or through a gear arrangements
and where there is no danger of load being “thrown
off”. Series motors are ideal for use in electric trains,
where the self-weight of the train acts as load and for
cranes, hoists, fans, blowers,converyers,lifts etc. where
starting torque requirement is high.
Applications of DC Motors
• Compound motors are used for driving heavy
machine tools for intermittent loads shears,
punching machines etc.,
TRANSFORMERS
Classification of Transformers
Classification of Transformers
Classification of Transformers
Constructional Details
Magnetic Core
Types of Transformer Core
• Core type
• Shell type
Core type
Shell type
Constructional Details of Transformer
Cooling arrangement in Transformers
• The various methods of cooling employed in a
transformer are
1. Oil immersed natural cooled transformers
2. Oil immersed forced air cooled transformers
3. Oil immersed water cooled transformers
4. Oil immersed forced oil cooled transformers
5. Air blast transformers
EMF Equation of a Transformer
• N1 – Number of primary turns
• N2 – Number of secondary turns
We know that T= 1/f, where f is the frequency in Hz
Average rate of change of flux = φm/(1/4f) wb/seconds
If we assume single turn coil, then according to Faradays
law of electromagnetic induction, the average value of
emf induced/turn = 4 f φm volt
Form factor = RMS Value/ Average Value
= 1.11 (since φm is sinusoidal)
RMS value = Form Factor × Average Value
RMS Value of emf induced/turn = (1.11)×(4 f φm )
= 4.44 f φm volts
RMS value of emf induced in the entire
primary winding E1 = 4.44 f φm × N1
E1 = 4.44 f Bm A × N1 Volts
Similarly RMS value of emf induced in the
secondary E2 = 4.44 f Bm A × N2 Volts
Transformation Ratio (K)
For an ideal transformer
V1 = E1 ; V1 = E2;
V1I1 = V2I2
V2/V1 = I1/I2; E2/E1 = I1/I2
From transformer emf induced equation
E2/E1 = N1/N2
We have E2/E1 = N1/N2 = I1/I2= K
Where K is the transformation ratio.
If N2>N1 i.e. K>1, then transformer is a step up transformer.
If N2<N1 i.e. K<1, then transformer is a step down transformer
Voltage ratio = E2/E1 = K
Current ratio = I2/I1= 1/K
Ideal Transformer
The ideal transformer has the following
properties
• No winding resistance. i.e., purely inductive.
• No magnetic leakage flux.
• No I2 R loss i.e., no copper loss.
• No core loss.
Ideal Transformer
An ideal transformer consists of purely inductive
coil(winding) and loss free core. Windings are
wound on a core. It is shown in figure.
Ideal transformer
All Day Efficiency (or) Energy Efficiency
Rating of a Transformer
• Voltage rating
• Current rating
• Power rating
Why transformer rating in kVA?
Applications of Transformer
• Used in transmission and distribution
• Used as an instrument transformer for
measuring current (C.T) and measuring
voltage (P.T)
• Used as a step down and step up transformer
to get reduced or increased output voltage
• Radio and TV circuits, telephone circuits,
control and instrumentation circuits
• Furnaces and welding transformer
Single phase induction motor
These motors used in
• Homes
• Offices
• Shops
• Factories
They provide motive power for
• Fans
• Washing machines
• Hand tools like drillers, record player, refrigerator,
juice makers etc
Single phase induction motor
The single phase induction motor are simple
in construction. The main disadvantage of
these motors are
• Lack of starting torque
• Reduced power factor
• Low efficiency
Construction of single phase induction motor
Construction of single phase induction motor
Starting of single phase induction motor
• From the principle of operation, the single
phase induction motor has no self starting
torque. This can be explained in two ways
1. Two field (or) double field revolving theory
2. Cross field theory.
Double field revolving theory
Double field revolving theory
Resultant flux would be 2× (φm/2)sinθ = φmsinθ
The resultant flux now is zero
Double field revolving theory
After half cycle, fluxes a and b will have resultant
of -2×(φm/2)= -φm
Double field revolving theory
After three quarters of cycle, again the resultant
is zero as shown.
Double field revolving theory
So the flux variation is φm , 0, -φm , 0. this flux
variation with respect to θ is plotted which is
shown below
Double field revolving theory
The slip of the rotor with respect to the forward
rotating flux is given by
S f = (Ns – N)/ Ns
The slip of the rotor with respect to the backward
rotating flux is given by
S b = (Ns – (-N))/ Ns
= 1 + (N/ Ns)
= 1 + 1-s
= 2-s
Double field revolving theory
Due to two more fluxes tow more torques
forward and backward torques and are
oppositely directed so that the net torque is
equal to their differences as shown
Operation of single phase induction motor
Due to the transformer action, currents are
induced in the rotor conductors. The direction
of the current is to oppose the stator mmf.
Starting of single phase induction motor
Types of single phase induction motor
The single phase induction motors can be
classified according to the phase difference
produced between the currents in the main
and auxiliary windings.
1. Split- phase motors
2. Capacitor-start motors
3. Capacitor-run motors
4. Capacitor-start and –run motors
5. Shaded-pole motors
Split-phase induction motors
Split phase induction motor
Split phase induction motor
Applications:
It is mainly used for loads that require low and
medium torque. The applications are
• Fans
• Blowers
• Centrifugal pumps
• Washing machines
Split phase induction motor
characteristics
• The percentage of rated starting torque is
100% to 250%
• The break down torque is upto 300%
• The power factor of this motor is 0.5 to 0.65
• The efficiency of the motor is 55% to 65%
• The power rating of this motor is in the range
of ½ to 1HP.
Capacitor start single phase induction motor
Capacitor start single phase induction motor
Capacitor start single phase induction motor
Applications:
It is mainly used for hard starting loads, such as
1. Compressors
2. Pumps
3. Conveyors
4. Refrigerators
5. Air conditioning equipments
6. Washing machines
Capacitor start single phase induction motor
characteristics
• The percentage of rated starting torque is
250% to 400%
• The breakdown torque is upto 350%
• Power factor of the motor is 0.5 to 0.65
• The power rating of the motor is 1/8 to 1HP
• The efficiency of the motor is 55% to 65%
Capacitor run single phase induction motor
Capacitor run single phase induction motor
Capacitor run single phase induction motor
The main advantages of these motors are
• High power factor at full load
• High full-load efficiency
• Increased pull-out torque
• Low full-load line current
It is mainly used in low noise applications such as
• Fans
• Blowers
• Centrifugal pumps
Capacitor run single phase induction motor
The characteristics of these motors are
Capacitor start capacitor run motor
Capacitor start capacitor run motor
Capacitor start capacitor run motor
The main advantages of these motors are
• High starting torque
• High efficiency
• High power factor
Capacitor start capacitor run motor
It is mainly used for low noise and high starting
torque applications such as
• Compressors
• Pumps
• Conveyors
• Refrigerators
Capacitor start capacitor run motor
The characteristics of these motors are
Shaded pole motor
Shaded pole motor
Shaded pole motor
Shaded pole motor
The main disadvantages of these motors are
• Low efficiency
• Low power factor
• Very Low starting torque
Shaded pole motor
The main applications of these motors are for
loads requiring low starting torque such as
• Fans
• Blowers
• Turn tables
• Hair driers
• Motion picture projectors
Shaded pole motor

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Dc machines ppt

  • 1. DC Generator According to faradays law of electromagnetic induction, whenever a conductor is moved in magnetic field, dynamically induced emf is produced in the conductor.
  • 2. Construction Magnetic frame Protective cover & mechanical support Carries magnetic flux produced by the poles Made up of cast iron and cast steel.
  • 3. Poles Made up of copper wire. Current is passed through coils becomes electromagnet and starts establishing magnetic field in the machine and flux is distributed through the pole Armature Consists of armature core/ conductors/coils and armature windings It rotates under poles and flux produced by field magnets is cut by the armature conductors.
  • 4. Commutator Converts alternating emf to unidirectional emf Brushes and Bearing Collect the current from the commutator and convey to external load Principle of operation
  • 6. Split ring arrangement for unidirectional emf
  • 7. E M F induced in a DC Generator • let Ø be the flux per pole in webers • let P be the number of poles • let Z be the total number of conductors in the armature • All the Z conductors are not connected in series. They are divided into groups and let A be the number of parallel paths into which these conductors are grouped.
  • 8. • Each parallel path will have Z/A conductors in series • Let N be the speed of rotation in revolution per minute (rpm) • Consider one conductor on the periphery of the armature. As this conductor makes one complete revolution, it cuts PØ webers. • As the speed is N rpm, the time taken for one revolution is 60/N sec. • Since the emf induced in the conductor is equal to rate of change of flux cut.
  • 9. • e α dØ/dt = (PØ)/60/N e = PNØ/60 volts Since there are Z/A conductors in series in each parallel path the emf induced E g = (NPØ/60) (Z/A) volts E g = (ØZN/60)(P/A) volts • The armature conductors are generally connected in two different ways, viz, lap winding and wave winding. For lap wound armature A=P. In wave wound machine, A = 2,always
  • 10. Types of DC Generators According to their methods of field excitation, DC Generators are classified into two types. • Separately excited DC generator • Self-excited DC generator
  • 12. • I a = I L • Ra = Resistance of the armature winding • Terminal Voltage V = E g-Ia R a – V brush • V brush = voltage drop at the contact of the brush • Generally V brush is negelected because of very low value • Generally emf E g = V+ I a R a + V brush • Electric power developed = E gIa • Power delivered to load = VI a
  • 13. Self-excited DC Generators • Series generator • Shunt generator • Compound generator
  • 15. • I a = I L = I se • Generated emf E g = V+ I a R a + I se R se + V brush Where, V = terminal voltage in volts Ia R a = voltage drop in the armature Ia R se = voltage drop in the series field winding resistance V brush = brush drop • Terminal voltage V = E g-Ia R a - I a R se – V brush • Power developed in the armature = E gIa • Power delivered to load = VI a orV I L
  • 17. • Terminal voltage V = E g-Ia R a • Shunt field current Ish =V/ R sh • Armature current I a = I L + I sh • Power developed by armature = E gIa • Power delivered to load = V I L
  • 18. Compound Generator • Long shunt compound generator • Short shunt compound generator
  • 19. Long shunt compound generator
  • 20. Long shunt compound generator • Series field current I se = I a= I L + I sh • Shunt field current Ish = V / R sh • Generated emf E g = V + I a (R a + R sh) + V brush • Terminal voltage V = E g – I a(R a+ R sh) – V brush • Power developed in armature = E g I a • Power delivered to load = V I L
  • 21. Short shunt compound generator
  • 22. Short shunt compound generator • Series field current = I se =I L • Load current = I L • Armature current I a= I sh + I se • Generated emf E g = V + I a R a + I se R se + V brush • Voltage across shunt field winding = Ish R sh • I sh R sh = E g – I a R a– V brush = V + I a R a + I se R se + V brush – I a R a–V brush = V + I se R se
  • 23. Applications of DC Generators • Shunt generators are used for supplying nearly constant loads. They are used for battery charging, for supplying the fields of synchronous machines and separately excited DC machines • Since the output voltage of a series generator increases with load, series generators are ideal for use as boosters for adding voltage to the transmission line and to compensate for the line drop. • Compound generators maintain better voltage regulation and hence find use where constancy of voltage is required.
  • 25. Principle of operation of DC Motor • Whenever a current carrying conductor is placed in magnetic field, the conductor experiences a force tending to move it. (Lorentz force)
  • 26. The direction of motion of conductor is given by Fleming’s Left hand rule.
  • 27. The magnitude of the force experienced by the conductor is given by F= BIL Newtons Where, B = magnitude of flux density in Wb/m2 I = current in amperes L = length of the conductor in meters
  • 28. Back EMF (or) Counter EMF • The conductors are cutting flux and that is exactly what is required for generator action to take place. • This means that even when machine is working as a motor, voltage are induced in the conductors. This emf is called as back emf or counter emf(Lenz law) • E b =(ØZN/60)(P/A) volts
  • 30. • The voltage equation of this motor is V= E b + I a R a • Form this equation, armature current I a = (V- E b )/ R a Where, V – applied voltage E b = back emf I a = armature current R a = armature current V - E b = net voltage in the armature circuit
  • 31. Importance of Back EMF • When DC motor is operating on no load condition, Therefore the back emf is equal to input voltage and armature current is small/decreseas. • When the DC motor is operating on loaded condition, speed decreases and motor back emf also decreases. Corresponding armature current increases. • When load on the motor decreased, the speed increases, the back emf also increases causing armature current to decreases. Regulates armature current
  • 32. Voltage equation of DC motor V – input voltage E b – back emf R a – armature resistance; I a – armature current I sh – shunt field current;R sh– shut field resistance
  • 33. Voltage equation of DC motor Here, the current flowing in the armature is given by I a = ( V – E b )/ R a Or V = E b + I a R a This equation is known as voltage equation of a DC motor.
  • 34. Types of DC motors According to their methods of field excitation, DC motors are classified into two types. • Separately excited DC motors • Self-excited DC motors . Series motor . Shunt motor . Compound motor * long shunt compound motor * short shunt compound motor
  • 36. Separately excited DC motor Armature current I a = line current I L Back emf E b = V - I a R a – V brush V brush is very small and therefore it is neglected
  • 38. DC Series Motor • I a = I L = I se • The voltage equation is given by V = E b+ I a R a + I se R se + V brush I a = I se V = E b+ I a ( R a + R se ) + V brush V brush is neglected and hence V = E b+ I a (R a + R se ) • Ø α I a α I a
  • 40. DC Shunt Motor • I L = I a + I sh • I sh = V/ R sh Voltage equation of a DC shunt motor is given by V = E b+ I a R a + V brush • Φ α I sh
  • 41. DC Compound Motor • Long shunt compound motor • Short shunt compound motor
  • 43. Long shunt Compound Motor • I L = I se + I sh • I se = I a • I L = I a + I sh • I sh = V/ R sh • Voltage equation is given by V = E b+I a R a + I se R se + V brush Where I a = I se V = E b+ I a ( R a + R se ) + V brush
  • 45. Short Shunt Compound Motor • I L = I se • I L = I a + I sh • I L = I se = I a + I sh • V = E b+Ia R a + Ise R se + V brush • I se = I L • V = E b+Ia R a + IL R se + V brush • Voltage drop across the shunt field winding is = V - I L = I se • Vsh = E b+Ia R a + V brush • I sh = V - IL R se / R sh
  • 48. Torque Equation of a DC Motor • Torque is nothing but turning or twisting force about an axis • Torque is measured by the product of force and radius at which the force acts.
  • 49. • The angular velocity of the wheel is ω= (2ΠN)/60 rad/sec Torque T = F × r (N-m) Workdone per revolution = F × distance moved = F × 2 Π r joules Power developed P = workdone / time = (F × 2 Π r)/time for 1 rev = (F × 2 Π r)/(60/N) (rpm = 60 ; rps = 60/N ; time for 1 rev = 60/N P = (F × r) (2ΠN)/60 P = T ω watts Where T = torque in N-m , ω = angular speed in rad/sec
  • 50. • The gross mechanical power developed in the armature is E b I a • Then power in armature = armature torque × ω E b Ia = Ta × (2ΠN)60 E b = PØZN/60A PØZN/(60A) I a = Ta × (2ΠN)60 Ta = (Ø I a PZ)/ 2ΠA Ta = (0.159Ø I a )(PZ/A) N-M The above equation is torque equation of a DC motor. Torque is proportional to the product of the armature current and the flux
  • 51. Speed control of DC shunt motor For a Dc motor, the speed equation is obtained as follows E b = V - I a R a E b = PØZN/60A V - I a R a = PØZN/60A N = (V - I a R a )60A/ PØZ Since for a given machine , Z,A and P are constants N = K(V - I a R a )/Ø Where K is a constant. Speed equation becomes N α E b /Ø Hence speed of the motor is directly proportional to back emf and inversely proportional to flux. By varying flux and voltage, the motor speed can be changed.
  • 52. By varying resistance in armature circuit
  • 54. Speed control of DC series motor 1. Variable resistance in series with motor
  • 55. 2. Flux control method Field diverter Armature diverter Tapped field control
  • 56. For DC Shunt motor torque is directly proportional to the armature current. For Dc series motor, the series field current is equal to the armature current Ia φ α Ia HenceT α Ia α I2 a For DC series motor, the torque is directly proportional to the square of the armature current. The speed and torque equations are mainly used for analyzing the various characteristics of DC motors.
  • 57. Applications of DC Motors • DC shunt motor are used where speed has to maintain nearly constant with load and where a high starting torque is not required. Thus shunt motors may be used for driving centrifugal pumps and light machine tools, wood working machines, lathe etc., • Series motors are used where the load is directly attached to the shaft or through a gear arrangements and where there is no danger of load being “thrown off”. Series motors are ideal for use in electric trains, where the self-weight of the train acts as load and for cranes, hoists, fans, blowers,converyers,lifts etc. where starting torque requirement is high.
  • 58. Applications of DC Motors • Compound motors are used for driving heavy machine tools for intermittent loads shears, punching machines etc.,
  • 65. Types of Transformer Core • Core type • Shell type
  • 69. Cooling arrangement in Transformers • The various methods of cooling employed in a transformer are 1. Oil immersed natural cooled transformers 2. Oil immersed forced air cooled transformers 3. Oil immersed water cooled transformers 4. Oil immersed forced oil cooled transformers 5. Air blast transformers
  • 70.
  • 71. EMF Equation of a Transformer • N1 – Number of primary turns • N2 – Number of secondary turns
  • 72.
  • 73.
  • 74. We know that T= 1/f, where f is the frequency in Hz Average rate of change of flux = φm/(1/4f) wb/seconds If we assume single turn coil, then according to Faradays law of electromagnetic induction, the average value of emf induced/turn = 4 f φm volt Form factor = RMS Value/ Average Value = 1.11 (since φm is sinusoidal) RMS value = Form Factor × Average Value RMS Value of emf induced/turn = (1.11)×(4 f φm ) = 4.44 f φm volts
  • 75. RMS value of emf induced in the entire primary winding E1 = 4.44 f φm × N1 E1 = 4.44 f Bm A × N1 Volts Similarly RMS value of emf induced in the secondary E2 = 4.44 f Bm A × N2 Volts
  • 76. Transformation Ratio (K) For an ideal transformer V1 = E1 ; V1 = E2; V1I1 = V2I2 V2/V1 = I1/I2; E2/E1 = I1/I2 From transformer emf induced equation E2/E1 = N1/N2 We have E2/E1 = N1/N2 = I1/I2= K Where K is the transformation ratio. If N2>N1 i.e. K>1, then transformer is a step up transformer. If N2<N1 i.e. K<1, then transformer is a step down transformer Voltage ratio = E2/E1 = K Current ratio = I2/I1= 1/K
  • 77. Ideal Transformer The ideal transformer has the following properties • No winding resistance. i.e., purely inductive. • No magnetic leakage flux. • No I2 R loss i.e., no copper loss. • No core loss.
  • 78. Ideal Transformer An ideal transformer consists of purely inductive coil(winding) and loss free core. Windings are wound on a core. It is shown in figure.
  • 80. All Day Efficiency (or) Energy Efficiency
  • 81. Rating of a Transformer • Voltage rating • Current rating • Power rating Why transformer rating in kVA?
  • 82. Applications of Transformer • Used in transmission and distribution • Used as an instrument transformer for measuring current (C.T) and measuring voltage (P.T) • Used as a step down and step up transformer to get reduced or increased output voltage • Radio and TV circuits, telephone circuits, control and instrumentation circuits • Furnaces and welding transformer
  • 83. Single phase induction motor These motors used in • Homes • Offices • Shops • Factories They provide motive power for • Fans • Washing machines • Hand tools like drillers, record player, refrigerator, juice makers etc
  • 84. Single phase induction motor The single phase induction motor are simple in construction. The main disadvantage of these motors are • Lack of starting torque • Reduced power factor • Low efficiency
  • 85. Construction of single phase induction motor
  • 86. Construction of single phase induction motor
  • 87. Starting of single phase induction motor • From the principle of operation, the single phase induction motor has no self starting torque. This can be explained in two ways 1. Two field (or) double field revolving theory 2. Cross field theory.
  • 89. Double field revolving theory Resultant flux would be 2× (φm/2)sinθ = φmsinθ The resultant flux now is zero
  • 90. Double field revolving theory After half cycle, fluxes a and b will have resultant of -2×(φm/2)= -φm
  • 91. Double field revolving theory After three quarters of cycle, again the resultant is zero as shown.
  • 92. Double field revolving theory So the flux variation is φm , 0, -φm , 0. this flux variation with respect to θ is plotted which is shown below
  • 93. Double field revolving theory The slip of the rotor with respect to the forward rotating flux is given by S f = (Ns – N)/ Ns The slip of the rotor with respect to the backward rotating flux is given by S b = (Ns – (-N))/ Ns = 1 + (N/ Ns) = 1 + 1-s = 2-s
  • 94. Double field revolving theory Due to two more fluxes tow more torques forward and backward torques and are oppositely directed so that the net torque is equal to their differences as shown
  • 95. Operation of single phase induction motor Due to the transformer action, currents are induced in the rotor conductors. The direction of the current is to oppose the stator mmf.
  • 96. Starting of single phase induction motor
  • 97. Types of single phase induction motor The single phase induction motors can be classified according to the phase difference produced between the currents in the main and auxiliary windings. 1. Split- phase motors 2. Capacitor-start motors 3. Capacitor-run motors 4. Capacitor-start and –run motors 5. Shaded-pole motors
  • 100. Split phase induction motor Applications: It is mainly used for loads that require low and medium torque. The applications are • Fans • Blowers • Centrifugal pumps • Washing machines
  • 101. Split phase induction motor characteristics • The percentage of rated starting torque is 100% to 250% • The break down torque is upto 300% • The power factor of this motor is 0.5 to 0.65 • The efficiency of the motor is 55% to 65% • The power rating of this motor is in the range of ½ to 1HP.
  • 102. Capacitor start single phase induction motor
  • 103. Capacitor start single phase induction motor
  • 104. Capacitor start single phase induction motor Applications: It is mainly used for hard starting loads, such as 1. Compressors 2. Pumps 3. Conveyors 4. Refrigerators 5. Air conditioning equipments 6. Washing machines
  • 105. Capacitor start single phase induction motor characteristics • The percentage of rated starting torque is 250% to 400% • The breakdown torque is upto 350% • Power factor of the motor is 0.5 to 0.65 • The power rating of the motor is 1/8 to 1HP • The efficiency of the motor is 55% to 65%
  • 106. Capacitor run single phase induction motor
  • 107. Capacitor run single phase induction motor
  • 108. Capacitor run single phase induction motor The main advantages of these motors are • High power factor at full load • High full-load efficiency • Increased pull-out torque • Low full-load line current It is mainly used in low noise applications such as • Fans • Blowers • Centrifugal pumps
  • 109. Capacitor run single phase induction motor The characteristics of these motors are
  • 112. Capacitor start capacitor run motor The main advantages of these motors are • High starting torque • High efficiency • High power factor
  • 113. Capacitor start capacitor run motor It is mainly used for low noise and high starting torque applications such as • Compressors • Pumps • Conveyors • Refrigerators
  • 114. Capacitor start capacitor run motor The characteristics of these motors are
  • 118. Shaded pole motor The main disadvantages of these motors are • Low efficiency • Low power factor • Very Low starting torque
  • 119. Shaded pole motor The main applications of these motors are for loads requiring low starting torque such as • Fans • Blowers • Turn tables • Hair driers • Motion picture projectors