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Group Members:
• Asad Tanvir (12EL13)
• Uzair Nazir (12EL35 )
• Wasif Hussain (12EL36)
• Azfar Rasool (12EL04)
• Mosa Ali (12EL37)
Introduction of Topics:
• Power Equations
• Effect of changes in shaft load
• Effect of changes in field excitations
Power Equation
• What is Power Equations 
Simply!
Prepare for complex thing.. 
Power Equations in Induction Motor
• Electric Circuit of Induction Motor
Power Equations in Induction Motor
Derivations
Power Flow Diagram
Easy  or Tough  Numerical Problem
A 460-V, 25-hp, 60 Hz, 4 pole, Y-connected motor with the power
factor of 33.6 lagging has the stator copper losses of 685W. It has
following impedances:
R1=0.641 R2=0.322
X1=1.106 X2=0.464
Xm=26.3
The slip of the induction motor is 0.2% and it drives the load current of
18.88A. Assuming core and frictional losses are negligible. Find the
power converted or electromechanical power generated?
Effect of load
changes of
synchronous motor
If load is attached to the shaft of
synchronous motor the will develop
enough torque to keep the motor
and its load turning at synchronous
speed
What happens when load is
changed on synchronous motor

If load on the shaft on the
motor is increased
• The rotor will initially slow down
• As it does ,the torque angle alpha becomes
larger and induced torque increased
• The increase in induced torque eventually
speed up , and the motor gain turns at
synchronous speed
(b) Assume that the shaft load is
now increased to 30 hp. Sketch the
behavior of the
phasor diagram in response to this
change
(b) As the power on the shaft is
increased to 30 hp, the shaft slows
momentarily, and
the internal generated voltage EA
swings out to a larger angle /j while
maintaining
a constant magnitude. The resulting
phasor diagram is shown in Figure 6-
7b.
Following phenomenon will occurs 
Rotor speed decrease
Slip increase
Smaller amount of induced
voltage is developed
Power factor will improve
Torque will increase
Variable Load Change :
• Under extreme load changes, e.g. frequent starts /
stops, or high inertial loads, this method of calculating
the motor rating is unsuitable since it would
underestimate the heating that would occur.
Effect of changes field
excitation
•Increases excitation
•Decreases excitation
• Power factor will improve and adjusted
• Pull out torque will increase
• No slipping of poles
• Leading power factor will occur
“Those who knee down to Allah can stand up any
thing.”
Thank You!
Any Questions?

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3-Phase Motor Characteristics

  • 1.
  • 2. Group Members: • Asad Tanvir (12EL13) • Uzair Nazir (12EL35 ) • Wasif Hussain (12EL36) • Azfar Rasool (12EL04) • Mosa Ali (12EL37)
  • 3. Introduction of Topics: • Power Equations • Effect of changes in shaft load • Effect of changes in field excitations
  • 4. Power Equation • What is Power Equations 
  • 6. Power Equations in Induction Motor • Electric Circuit of Induction Motor
  • 7. Power Equations in Induction Motor Derivations
  • 9. Easy  or Tough  Numerical Problem A 460-V, 25-hp, 60 Hz, 4 pole, Y-connected motor with the power factor of 33.6 lagging has the stator copper losses of 685W. It has following impedances: R1=0.641 R2=0.322 X1=1.106 X2=0.464 Xm=26.3 The slip of the induction motor is 0.2% and it drives the load current of 18.88A. Assuming core and frictional losses are negligible. Find the power converted or electromechanical power generated?
  • 10. Effect of load changes of synchronous motor
  • 11. If load is attached to the shaft of synchronous motor the will develop enough torque to keep the motor and its load turning at synchronous speed
  • 12. What happens when load is changed on synchronous motor 
  • 13. If load on the shaft on the motor is increased • The rotor will initially slow down • As it does ,the torque angle alpha becomes larger and induced torque increased • The increase in induced torque eventually speed up , and the motor gain turns at synchronous speed
  • 14.
  • 15. (b) Assume that the shaft load is now increased to 30 hp. Sketch the behavior of the phasor diagram in response to this change
  • 16. (b) As the power on the shaft is increased to 30 hp, the shaft slows momentarily, and the internal generated voltage EA swings out to a larger angle /j while maintaining a constant magnitude. The resulting phasor diagram is shown in Figure 6- 7b.
  • 17.
  • 18. Following phenomenon will occurs  Rotor speed decrease Slip increase Smaller amount of induced voltage is developed Power factor will improve Torque will increase
  • 19. Variable Load Change : • Under extreme load changes, e.g. frequent starts / stops, or high inertial loads, this method of calculating the motor rating is unsuitable since it would underestimate the heating that would occur.
  • 20. Effect of changes field excitation •Increases excitation •Decreases excitation
  • 21. • Power factor will improve and adjusted • Pull out torque will increase • No slipping of poles • Leading power factor will occur
  • 22. “Those who knee down to Allah can stand up any thing.”