GATE EE 2014 Set 3 — Question 47
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Electrical Machines → Synchronous Machines → Cylindrical & Salient Pole
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Question
A non-salient pole synchronous generator having synchronous reactance of pu is supplying pu power to a unity power factor load at a terminal voltage of pu. Neglecting the armature resistance, the angle of the voltage behind the synchronous reactance with respect to the angle of the terminal voltage in degrees is ________.
Correct answer
32.4 to 34
Solution
Given:
Synchronous reactance, pu
Power, pu
Power factor, (unity)
Terminal voltage, pu
Armature resistance, Step 1: Calculate the armature current ().
puStep 2: Determine the phasor representation.
Taking terminal voltage as reference:
Since the power factor is unity, the current is in phase with the voltage: Step 3: Calculate the excitation voltage ().
Step 4: Find the load angle ().
The angle of the voltage behind the synchronous reactance is approximately .
Synchronous reactance, pu
Power, pu
Power factor, (unity)
Terminal voltage, pu
Armature resistance, Step 1: Calculate the armature current ().
puStep 2: Determine the phasor representation.
Taking terminal voltage as reference:
Since the power factor is unity, the current is in phase with the voltage: Step 3: Calculate the excitation voltage ().
Step 4: Find the load angle ().
The angle of the voltage behind the synchronous reactance is approximately .
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