A balanced three-phase distribution line has an impedance of 1+8j ohms per phase. This line is used to supply three balanced three- phase loads that are connected in parallel. The three loads are L1 = 120kVA at 0.96 p.f lead, L2 = 180kVA at 0.80 p.f lag, and L3 = 100.8kW and 15.6kVAR (magnetizing). The magnitude of the line voltage at the terminals of the loads is 4157V. 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 1+8j
ohms per phase. This line is used to supply three balanced three-
phase loads that are connected in parallel. The three loads are L1
= 120kVA at 0.96 p.f lead, L2 = 180kVA at 0.80 p.f lag, and 13 =
100.8kW and 15.6kVAR (magnetizing). The magnitude of the line
voltage at the terminals of the loads is 4157V.
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 1+8j ohms per phase. This line is used to supply three balanced three- phase loads that are connected in parallel. The three loads are L1 = 120kVA at 0.96 p.f lead, L2 = 180kVA at 0.80 p.f lag, and 13 = 100.8kW and 15.6kVAR (magnetizing). The magnitude of the line voltage at the terminals of the loads is 4157V. 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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