A 460 V, 50 kW, 50 Hz, three-phase synchronous motor has a synchronous reactance of Xs = 4.15 Ω and an armature-to-field mutual inductance of Laf = 83 mH. The motor is operated with rated terminal voltage and an input power of 40 kW. Calculate the magnitude and phase angle of the generated phase back-emf, E af , and the corresponding field current, if the motor is operating at: 0.85 power factor leading, unity power factor

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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.