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 ______. (Give the answer up to one decimal place.)
Correct answer
835 to 842
Solution
Given: , star connection, /phase, , unity power factor, armature resistance neglected.Phase voltage:Phasor relation for a motor: . At UPF, is in phase with , so is perpendicular to . The three phasors form a right triangle with as one leg, as the other, and as the hypotenuse at angle to :SoPower delivered to the motor (three phases):Check: .Answer:
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