Question

The impedance of a three-phase line is 0.3 + j 2.4 per phase. The line feeds two balanced three- phase loads connected in parallel. The first load takes 600 kVA at 0.7 p.f. lagging. The second takes 150 kW at unity power factor. The line to line voltage at the load end of the line is 3810.5 V. Find

1. a) The magnitude of the line voltage at the source end of the line.

2. b) The total active and reactive power loss in the line.

3. c) The active and reactive power supplied at the sending end of the line.

4. Repeat a) using per unit values assuming that 1000 kVA is base apparent power and 3 Ω is the base impedance.

Answer 1