The input to an industrial plant is 1,440 kw at a power factor of 0.6 lagging. It is desired to connect a synchronous motor that operates at a leading power factor of 0.8 to the power mains and have it correct the over-all power factor to 0.9.  (A) What should be the POWER INPUT to the synchronous motor? (B) Calculate the HORSEPOWER OUTPUT of a synchronous motor but this time, it's operating at a leading power factor of 0.8 and an efficiency of 87.4percent that will correct the over-all power factor to unity.

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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.