The load at a certain factory consists of the following: 10 kW, pf = 0.6 lagging 15 kW, rf = 0.5 lagging 25 kVA, pf = 0.75 lagging 15 kVAR, pf = 0.8 lagging 22 kW 5 kVAR, pure inductance Total True Power = 85.75 kW Total Reactive Power = 58.5295 kVAr Total Apparent Power = 103.8208 KVA 1. The power factor is to be corrected to 0.95 lagging. If resistive heating units were used instead, determine the real power rating of these devices. Ans = 92.3222 2. The power factor is to be corrected to 0.95 lagging. If a synchronous motor is to be used instead, determine the real power rating of this motor if its

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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.