A three-phase, 3.3 kV, 50 Hz power supply is used to drive an induction motor. The motor has an eight-pole, star-connected stator. The rotor is also star-connected, with the line ends brought out to sliprings for starting and speed control. At standstill, the open circuit voltage induced on the rotor, as measured between the sliprings, is 1475 V. At the full load speed, the frequency of the induced emf on the rotor winding is 2.5 Hz. The motor has the following parameters: Rc = 250 Q R₁ = 0.1Q Xm=250 X₁ = 0.35 Q R2 = 0.04X2 = 0.30 By referring the rotor quantities to the stator, calculate the following: (i) The shaft output power and torque of the fully loaded motor, if the corresponding friction and windage losses are 44 kW;

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A three-phase, 3.3 kV, 50 Hz power supply is used to drive an
induction motor. The motor has an eight-pole, star-connected stator.
The rotor is also star-connected, with the line ends brought out to
sliprings for starting and speed control. At standstill, the open circuit
voltage induced on the rotor, as measured between the sliprings, is
1475 V. At the full load speed, the frequency of the induced emf on
the rotor winding is 2.5 Hz. The motor has the following parameters:
Rc = 250 Q
R₁ = 0.1Q
Xm=250
X₁ = 0.35 Q
R2 = 0.04X2 = 0.30
By referring the rotor quantities to the stator, calculate the following:
(i)
The shaft output power and torque of the fully loaded motor, if
the corresponding friction and windage losses are 44 kW;
Transcribed Image Text:A three-phase, 3.3 kV, 50 Hz power supply is used to drive an induction motor. The motor has an eight-pole, star-connected stator. The rotor is also star-connected, with the line ends brought out to sliprings for starting and speed control. At standstill, the open circuit voltage induced on the rotor, as measured between the sliprings, is 1475 V. At the full load speed, the frequency of the induced emf on the rotor winding is 2.5 Hz. The motor has the following parameters: Rc = 250 Q R₁ = 0.1Q Xm=250 X₁ = 0.35 Q R2 = 0.04X2 = 0.30 By referring the rotor quantities to the stator, calculate the following: (i) The shaft output power and torque of the fully loaded motor, if the corresponding friction and windage losses are 44 kW;
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