500HP, 720rpm synchronous motor 3980V is connected with a 3-phase zone and excitation is 25A sample 1790 V (EA) voltage is produced in the armature. It has a synchronous reactance of 22 Ω and a torque of 30°.   a) What is the voltage value falling on the synchronous reactance?   b) What is the line current and power factor drawn by the motor from the mains?   c) What is the power produced by the engine?

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Synchronous Motor

The synchronous motor is an AC electric type motor where at a steady-state the shaft rotation is synchronized with the supply current variable-frequency. To an integral number of AC cycles, the rotation period is exactly equal. The stator of the motor in the synchronous motor contains multi-phase AC electromagnets due to which a magnetic field is created that rotates in time with the oscillation of the line current. The rotor contains a permanent magnet and the rotor rotates in synchronization with the stator field at the same rate and provides the second synchronized magnetic field which is rotating in nature as a result. When the synchronous motor is supplied with independently excited multi-phase AC electromagnets on both the rotor and the stator, it is termed as a doubly-fed machine. The most widely used AC-type motors are the synchronous AC motor and the induction AC motors.