Chapter 2, Problem 2.44P

Two balanced three-phase loads that are connected in parallel are fed by a three-phase line having a series impedance of $\left(0.4-j2.7\right)\Omega$ per phase. One of the loads absorbs 560 kVA at 0.707 power factor lagging, and the other 132 kW at unity power factor. The line-to-line voltage at the load end of the line is $220\sqrt{3}\text{V}$. Compute (a) the line-to-line voltage at the source end of the line. (b) the total real and reactive power losses in the three-phase line, and (c) the total three-phase real and reactive power supplied at the sending end of the line. Check that the total three-phase complex power delivered by the source equals the total three-phase comp lex power absorbed by the line and loads.