A 100-MVA 12.5-kV 0.85-PF-lagging 50-Hz two-pole Y-connected synchronous generator has a per-unit synchronous reactance of 1.1 and a per-unit armature resistance of 0.012. (a) What are its synchronous reactance and armature resistance in ohms? (b) What is the magnitude of the internal generated voltage E, at the rated conditions? What is its torque angle d at these conditions? (c) Ignoring losses in this generator, what torque must be applied to its shaft by the prime mover at full load? SOLUTION The base phase voltage of this generator is V4me =12,500//3 = 7217 V. Therefore, the base impedance of the generator is 3 V hae 3(7217 V)* Z = -=1.56 N base Sue 100,000,000 VA

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2.
A 100-MVA 12.5-kV 0.85-PF-lagging 50-Hz two-pole Y-connected synchronous generator has a per-unit
synchronous reactance of 1.1 and a per-unit armature resistance of 0.012.
(a) What are its synchronous reactance and armature resistance in ohms?
(b) What is the magnitude of the internal generated voltage E, at the rated conditions? What is its torque
angle d at these conditions?
(c) Ignoring losses in this generator, what torque must be applied to its shaft by the prime mover at full
load?
SOLUTION The base phase voltage of this generator is V = 12,500//3 = 7217 V. Therefore, the base
impedance of the generator is
3 V, 3(7217 V)²
100,000,000 VA
-=1.56 2
Spae
Transcribed Image Text:2. A 100-MVA 12.5-kV 0.85-PF-lagging 50-Hz two-pole Y-connected synchronous generator has a per-unit synchronous reactance of 1.1 and a per-unit armature resistance of 0.012. (a) What are its synchronous reactance and armature resistance in ohms? (b) What is the magnitude of the internal generated voltage E, at the rated conditions? What is its torque angle d at these conditions? (c) Ignoring losses in this generator, what torque must be applied to its shaft by the prime mover at full load? SOLUTION The base phase voltage of this generator is V = 12,500//3 = 7217 V. Therefore, the base impedance of the generator is 3 V, 3(7217 V)² 100,000,000 VA -=1.56 2 Spae
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