Question 4.6: A 400 V, 50 Hz, three-phase supply is provided to a three-ph...
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 Ω and 0.04 H, respectively. Calculate the phase current and the line current drawn by the load. Also calculate the total power consumed.
The impedance of load per phase,
Z_{Ph} = R + j ωL = 8 + j 2π × 50 × 0.04
= 8 + j 12.56 Ω.
Since the load is delta connected, V_{Ph}=V_{L}=400 V
\begin{aligned}&I_{ph}=\frac{V_{Ph}}{Z_{Ph}}=\frac{400}{8+j 12.56}=\frac{400\underline{\mid 0}}{14.89 \underline{\mid\tan ^{-1}}(12.56 / 8)}=26.86 \underline{\mid -58^{\circ}};\\ &I_{L}=\sqrt{3} I_{ph}=1.73 \times 26.86=36 A\end{aligned}Total power consumed =3 V_{Ph} I_{Ph} \cos \phi
= 3 × 400 × 26.86 cos Φ W
= 3 × 400 × 26.86 × 0.52 = 1736 W
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