Page 446 - Basic Electrical Engineering

Power consumed by all the three phases = 3 × 2000 W
= 6000 W
Total power supplied = total power consumed.

Power consumed per phase

Example 4.6 A 400 V, 50 Hz, three-phase supply is provided to a three-

phase delta-connected load. The resistance and inductance of each phase of
the load is 8 W and 0.04 H, respectively. Calculate the phase current and the

line current drawn by the load. Also calculate the total power consumed.

Solution:

The impedance of load per phase,

Z = R + j ωL = 8 + j 2π × 50 × 0.04
Ph

= 8 + j 12.56 Ω.

Since the load is delta connected, V = V = 400 V
Ph
L

Total power consumed = 3 V I cos ϕ
Ph Ph
= 3 × 400 × 26.86 cos ϕ W
= 3 × 400 × 26.86 × 0.52 = 1736 W