GATE EE 2017 Set 1 — Question 20
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Electrical Machines → Synchronous Machines → Cylindrical & Salient Pole
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Question
A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is 30 per phase. The load angle is . The power delivered to the motor in kW is ______.
Correct answer
835 to 842
Solution
Given:
Line voltage,
Phase voltage,
Synchronous reactance,
Load angle,
Power factor, (UPF), so For a synchronous motor at UPF (neglecting armature resistance ):
Since ,
The power delivered to the motor is given by:
The value lies within the range [835, 842].
Line voltage,
Phase voltage,
Synchronous reactance,
Load angle,
Power factor, (UPF), so For a synchronous motor at UPF (neglecting armature resistance ):
Since ,
The power delivered to the motor is given by:
The value lies within the range [835, 842].
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