A 3-phase, 10.0 MVA, 13.2 kV, 6-pole, Y-connected, 50 Hz, synchronous machine has negligible mechanical and electrical losses. The OC/SC test yields the following result: If Vt (OC) Ia (SC) 175 12,010 437.4 200 13,200 510 A V(line) A (Line) A. At what speed, in RPM, was the machine driven by a prime mover during the OC/SC test? B. What is the synchronous reactance? C. Draw and label completely the per-phase equivalent circuit showing the machine as a motor. D. Derive an expression for the magnitude of the generated line-to-line EMF, | E, |, in terms of the DC field current, I,.

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A 3-phase, 10.0 MVA, 13.2 kV, 6-pole, Y-connected, 50 Hz, synchronous machine has negligible
mechanical and electrical losses. The OC/SC test yields the following result:
If
V. (OC)
Ia (SC)
175
12,010
437.4
200
13,200
510
A
V(line)
A (Line)
A. At what speed, in RPM, was the machine driven by a prime mover during the OC/SC test?
B. What is the synchronous reactance?
C. Draw and label completely the per-phase equivalent circuit showing the machine as a motor.
D. Derive an expression for the magnitude of the generated line-to-line EMF, E, |, in terms
of the DC field current, I,.
Transcribed Image Text:A 3-phase, 10.0 MVA, 13.2 kV, 6-pole, Y-connected, 50 Hz, synchronous machine has negligible mechanical and electrical losses. The OC/SC test yields the following result: If V. (OC) Ia (SC) 175 12,010 437.4 200 13,200 510 A V(line) A (Line) A. At what speed, in RPM, was the machine driven by a prime mover during the OC/SC test? B. What is the synchronous reactance? C. Draw and label completely the per-phase equivalent circuit showing the machine as a motor. D. Derive an expression for the magnitude of the generated line-to-line EMF, E, |, in terms of the DC field current, I,.
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