Final answer:
To determine the stator voltage power factor of the synchronous machine, we need to calculate the reactive power and the apparent power.
Step-by-step explanation:
In order to determine the stator voltage power factor of the synchronous machine, we need to calculate the reactive power and the apparent power. From the given information, we know that the stator resistance is 2 Ω. The stator voltage is 1300V and the stator current (when the short circuit is removed) is the rated current.
To calculate the reactive power, we need to determine the reactance of the synchronous machine. We can use the formula: X = √(V^2 - R^2), where V is the stator voltage and R is the stator resistance. Substituting the values, X = √(1300^2 - 2^2) = 1299.99 Ω.
The apparent power can be calculated using the formula: S = V * I, where V is the stator voltage and I is the stator current. Substituting the values, S = 1300 * I. By dividing the reactive power by the apparent power, we can calculate the stator voltage power factor. The power factor is equal to the cosine of the angle between the voltage and current phasors.
By dividing the reactive power (X * I) by the apparent power (S), we can calculate the stator voltage power factor. The power factor is equal to the cosine of the angle between the voltage and current phasors. The power factor can be determined using the formula: power factor = cos(theta), where theta is the angle between the voltage and current phasors. To find the angle, we can use the formula: theta = arccos(power factor).
Therefore, by calculating the reactive power, apparent power, and power factor, we can determine the stator voltage power factor of the synchronous machine.