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A three phase 10-pole synchronous motor has per phase synchronous resistance of 4.3 ohm. It is...

A three phase 10-pole synchronous motor has per phase synchronous resistance of 4.3 ohm. It is connected to a 4160V (line to line) 60Hz line and generates an excitation voltage Eo of 1790V (line to neutral) when the dc exciting current is 30A. The Torque angle between E and Eo is 30 degrees. Calculate

a) The mechanical angle between the center of rotor and stator poles

b) The voltage across the synchronous reactance

c) The power delivered to the motor

d) The per phase current of the motor

e) What is the power factor of the motor?

f) Draw the phasor diagram of E, Eo, Ex, and I

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