A 60-Hz 24-kV 250-MVA Y-Connected salient-pole synchronous generator (Xd=1.75 per unit, Xq=1.40 per unit) is operating with a phase-A to a neutral voltage of 14 cos wt kV and a phase-A current of 5.75 cos wt kA; the currents and voltages are balanced at three-phase. The rotor angle is known to be wt+37 degrees.
b) Using the phasor diagram in part (a), calculate the magnitude of the direct-and quadrature-axis armature voltage and current.
I just need some direction.
Given that the generator is 24kV and Y-connected, we have the rated voltage per phase U = 24/1.732 = 13.86 kV
Operating phase A to neutral voltage: U = 14 cos wt kVolts,
Operating phase A current: Ia = 5.75 cos wt kAmps
There is no phase shifting between the voltage and the current equations above, so the power factor is 1, i.e. cos? =1, ? =0°
The rotor angle ?= 37°
(a) The phasor ...
The solution provides a phasor diagram, given the parameters of voltage, phase A current, and the three phase component. With the phasor diagram for the generator, the magnitude and current of the voltage is determined.