Question

A 4-pole, 60 Hz, three-phase synchronous motor with a synchronous reactance of 0.6Ω is working at half load with torque of 15 N−m. Assume (phase voltage)

Vt = 100 V. When working at the full load, the equivalent field (phase) voltage is 110 V.

Draw the per-phase equivalent circuit and label the parameters

Answer 1

To draw the per-phase equivalent circuit for the 4-pole, 60 Hz, three-phase synchronous motor, we need to consider the provided parameters such as the synchronous reactance, torque at half load, and phase voltage. We can represent the circuit with an inductive reactance, mechanical load, and phasor source.

Step-by-step explanation:

To draw the per-phase equivalent circuit for the 4-pole, 60 Hz, three-phase synchronous motor, we need to consider the parameters provided. The synchronous reactance is given as 0.6Ω, the torque at half load is 15 N−m, and the phase voltage (Vt) is 100 V. At full load, the equivalent field (phase) voltage is 110 V.

In the per-phase equivalent circuit, we can represent the synchronous reactance (Xs) as an inductive reactance, the torque as a mechanical load (Tm), and the voltages as phasors. The resistive components of the circuit can be neglected for simplicity.

Therefore, the per-phase equivalent circuit can be drawn as follows:

1. Inductive reactance (Xs): represented as an inductor
2. Synchronous torque (Tm): represented as a load connected to the motor
3. Voltage (Vt): represented as a phasor source