GATE EE 2017 Set 2 — Question 5
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Electrical Machines → Synchronous Machines → EMF & Armature Reaction
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Question
If a synchronous motor is running at a leading power factor, its excitation induced voltage () is
Correct answer
(B) higher than the terminal voltage Vₜ
Solution
For a synchronous motor (motor convention, current into the machine), with armature resistance neglected:Take as reference. At a leading power factor the armature current leads by : with . ThenThe real part alone already exceeds , so . This is the over-excited condition, in which the motor draws a leading current and so supplies reactive power to the system.Answer: (B) higher than the terminal voltage
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