Problem

5-17. A 25-MVA three-phase 13.8-kV two-pole 60-Hz synchronous generator was tested by the...

5-17. A 25-MVA three-phase 13.8-kV two-pole 60-Hz synchronous generator was tested by the open-circuit test, and its air-gap voltage was extrapolated with the following results:

Open-circuit test
Field current, A320365380475570
Line voltage, kV13.013.814.115.216.0
Extrapolated air-gap voltage, kV15.417.518.322.827.4

The short-circuit test was then performed with the following results:

Short-circuit test
Field current, A320365380475570
Armature current, A10401190124015501885

The armature resistance is 0.24 Ω per phase.

(a) Find the unsaturated synchronous reactance of this generator in ohms per phase and in per-unit.


(b) Find the approximate saturated synchronous reactance XS at a field current of 380 A. Express the answer both in ohms per phase and in per-unit.


(c) Find the approximate saturated synchronous reactance at a field current of 475 A. Express the answer both in ohms per phase and in per-unit.

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Solutions For Problems in Chapter 5