A 3 phase, 10 kVA, 220 V, four-pole, 60 Hz, star-connected synchronous machine has negligible stator winding resistance and a synchronous reactance of 6 ohms per phase at rated terminal voltage. The machine is first operated as a generator in parallel with a 3φ, 220 V, 60 Hz power supply. (a) Determine the excitation voltage and the power angle when the machine is delivering rated kVA at 0.8 PF lagging. (b) If the field excitation current is
A 3 phase, 10 kVA, 220 V, four-pole, 60 Hz, star-connected synchronous machine has negligible stator winding resistance and a synchronous reactance of 6 ohms per phase at rated terminal voltage. The machine is first operated as a generator in parallel with a 3φ, 220 V, 60 Hz power supply.
(a) Determine the excitation voltage and the power angle when the machine is delivering rated kVA at 0.8 PF lagging.
(b) If the field excitation current is now increased by 20 percent (without changing the prime mover power), find the stator current, power factor, and reactive kVA supplied by the machine.
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This solution states 10,000 / (220*√3) = 25. However, I cannot find a single calculator to reproduce this outcome, even if I suspend normal order of operations. Can you please revise? Without deducting from my question limit?
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