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, A | 320 | 365 | 380 | 475 | 570 |
Line voltage, kV | 13.0 | 13.8 | 14.1 | 15.2 | 16.0 |
Extrapolated air-gap voltage, kV | 15.4 | 17.5 | 18.3 | 22.8 | 27.4 |
The short-circuit test was then performed with the following results:
Short-circuit test | |||||
Field current, A | 320 | 365 | 380 | 475 | 570 |
Armature current, A | 1040 | 1190 | 1240 | 1550 | 1885 |
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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