Determine phase - voltage and power, Electrical Engineering

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 P =3 VL I L cos φ   = 3 × 440 × 40 cos 30o

                                                            = 26400 Watt = 26.4 kW

(c)        Reactive power drawn by the load:

Q= √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

Posted Date: 2/5/2013 2:14:02 AM | Location : United States







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