A 3-phase, 10 kVA, 400 V, 50 Hz, Y-connected alternator supplies the rated load at 0.8 power factor lagging . Given, = 0.5 = 10O Find:
(a) The power angle ()
(b) The voltage regulation
Given, 3-phase, 10 kVA, 400 V, Y-connected, Ra = 0.5 Ω, Xs = 10 Ω, load 0.8 pf lag
Per-phase values,
=
Synchronous EMF,
Zs = 0.5+j10 ≈ 10.012587.13°
IaZs = 14.43-36.87° 10.012587.13° ≈ 144.550.26°
Ea=231+j0 + 92.3+j110.9 = 9 = 323.3+j110.9
|Ea l ≈ 341.9 V, = tan-1(110.9/323.3) ≈ 18.9°
Voltage regulation, VR
100 ≈ 48%
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