A four-pole, 60-Hz, 24-kV, 650-MVA synchronous generator with a synchronous reactance of 1.82 per unit is operating on a power system which can be represented by a 24-kV infinite bus in series with a reactive impedance of j0.21 Ω. The generator is equipped with a voltage regulator that adjusts the field excitation such that the generator terminal voltage remains at 24 kV independent of the generator loading.

a. The generator output power is adjusted to 375 MW.

(i) Draw a phasor diagram for this operating condition.

(ii) Find the magnitude (in kA) and phase angle (with respect to the generator terminal voltage) of the terminal current.

(iii) Determine the generator terminal power factor.

(iv) Find the magnitude (in per unit and kV) of the generator excitation voltage Eaf.

b. Repeat part (a) if the generator output power is increased to 600 MW.