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Determine phase - voltage and power:
A balanced star connected load is supplied from a symmetrical 3-phase 440 Volt system. The current in each of the phase is 40 Amp and lags 30o behind the phase voltage. Determine
1. phase voltage,
2. power,
3. reactive power drawn by a the load, and
4. phase impedance.
Solution
For three phase star connected load voltage applied VL = 440 Volt
(a) V ph = 440/ √3 = 254.03 Volt
Power current = I ph = 40 ∠ - 30o Amp = I L
(b) Power P3φ =3 VL I L cos φ = 3 × 440 × 40 cos 30o
= 26400 Watt = 26.4 kW
(c) Reactive power drawn by the load:
Q3φ = √3 VL I L sin φ
= √3 × 440 × 40 sin 30o
= 15242.047 Var = 15.24 kVAr
(e) Phase impedance Z ph = V ph I ph
=254.03 ∠ 0o / 40 ∠- 30o = 6.35 ∠ 30o Ω
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