An industrial load uses 310-kVA at 0.6 pf lagging. A synchronous motor is added to the system to improve the power factor. The power required by the synchronous motor is 31-kW. (i)What is the complex power required by the load (P + jQ)[kVA] If the motor is added to the load to bring the power factor up to 0.9 pf lagging, then: (ii)What is the complex power now required by the load (at the new pf) (P+ jQ)[kVA] (iii)This means that the motor has a reactive power of (-Qm)[kVAR]

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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.