200-MVA, 12-kV, 0.85-PF-lagging, 50-Hz, 20-pole, Y-connected synchronous generator has a synchronous reactance of 0.5 Q and an armature resistance of 0.01 2. This generator is operating at rated condition. (a) What is the speed of rotation of this generator's shaft? (b) What is the magnitude of the internal generated voltage EA ? (c) What is the torque angle?

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The synchronous reactance and armature resistance of a Y-connected, two-pole, 60-Hz, 2300 V,
1 000 kVA, 0.8 PF-lagging synchronous generator are given as 1.1 Q and 0.15 Q at 60 Hz,
respectively. The friction and windage losses are 24 kW and the core losses are 18 kW. The DC
voltage of the field circuit is 200 V and the maximum If is 10A. The resistance of the field circuit is
adjustable over the range from 20 to 200 Q. The OCC of this generator is shown in the figure.
Assume that the field current of this generator has been adjusted to 4.5 A;
a) What will the terminal voltage of this generator be if it is connected to a A-connected load with an
impedance of 20230°?
b) Sketch the phasor diagram of this generator.
c) What is the efficiency of the generator at these conditions?
d) Assume that another identical A-connected load is to be paralleled with the first one. What
happens to the phasor diagram for the generator?
e) What is the new terminal voltage after the load has been added?
f) What must be done to restore the terminal voltage to its original value?
Transcribed Image Text:The synchronous reactance and armature resistance of a Y-connected, two-pole, 60-Hz, 2300 V, 1 000 kVA, 0.8 PF-lagging synchronous generator are given as 1.1 Q and 0.15 Q at 60 Hz, respectively. The friction and windage losses are 24 kW and the core losses are 18 kW. The DC voltage of the field circuit is 200 V and the maximum If is 10A. The resistance of the field circuit is adjustable over the range from 20 to 200 Q. The OCC of this generator is shown in the figure. Assume that the field current of this generator has been adjusted to 4.5 A; a) What will the terminal voltage of this generator be if it is connected to a A-connected load with an impedance of 20230°? b) Sketch the phasor diagram of this generator. c) What is the efficiency of the generator at these conditions? d) Assume that another identical A-connected load is to be paralleled with the first one. What happens to the phasor diagram for the generator? e) What is the new terminal voltage after the load has been added? f) What must be done to restore the terminal voltage to its original value?
200-MVA, 12-kV, 0.85-PF-lagging, 50-Hz, 20-pole, Y-connected synchronous generator has a synchronous reactance of 0.5 2 and an armature resistance of 0.01 2. This generator is operating at
rated condition.
(a) What is the speed of rotation of this generator's shaft?
(b) What is the magnitude of the internal generated voltage EA?
(c) What is the torque angle?
Transcribed Image Text:200-MVA, 12-kV, 0.85-PF-lagging, 50-Hz, 20-pole, Y-connected synchronous generator has a synchronous reactance of 0.5 2 and an armature resistance of 0.01 2. This generator is operating at rated condition. (a) What is the speed of rotation of this generator's shaft? (b) What is the magnitude of the internal generated voltage EA? (c) What is the torque angle?
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