A balanced three-phase distribution line has an impedance of 5 + j10 N/4. This line is used to sup- ply three balanced three-phase loads that are con- nected in parallel. The three loads are L = 180 kVA at 0.866 pf lag, L2 = 150 kVA at 0.28 pf lead, and L3 = 72.12 kW at unity pf. The magnitude of the line voltage at the terminals of the loads is 1800 V3 V. a) What is the magnitude of the line voltage at the sending end of the line? b) What is the percent efficiency of the distribution line with respect to average power?

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A balanced three-phase distribution line has an
impedance of 5 + j10 N/4. This line is used to sup-
ply three balanced three-phase loads that are con-
nected in parallel. The three loads are
L = 180 kVA at 0.866 pf lag, L2 = 150 kVA at
0.28 pf lead, and L3 = 72.12 kW at unity pf. The
magnitude of the line voltage at the terminals of the
loads is 1800 V3 V.
a) What is the magnitude of the line voltage at the
sending end of the line?
b) What is the percent efficiency of the distribution
line with respect to average power?
Transcribed Image Text:A balanced three-phase distribution line has an impedance of 5 + j10 N/4. This line is used to sup- ply three balanced three-phase loads that are con- nected in parallel. The three loads are L = 180 kVA at 0.866 pf lag, L2 = 150 kVA at 0.28 pf lead, and L3 = 72.12 kW at unity pf. The magnitude of the line voltage at the terminals of the loads is 1800 V3 V. a) What is the magnitude of the line voltage at the sending end of the line? b) What is the percent efficiency of the distribution line with respect to average power?
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