A balanced three-phase distribution line has an impedance of This line is used to supply
Chapter 11, Problem 11.28(choose chapter or problem)
A balanced three-phase distribution line has an impedance of \(5+j 10 \Omega / \phi\). This line is used to supply three balanced three-phase loads that are connected in parallel. The three loads are \(\mathrm{L}_{1}=180 \mathrm{kVA}\) at 0.866 pf lag, \(\mathrm{L}_{2}=150 \mathrm{kVA}\) at 0.28 pf lead, and \(\mathrm{L}_{3}=72.12 \mathrm{~kW}\) at unity pf. The magnitude of the line voltage at the terminals of the loads is \(1800 \sqrt{3} \mathrm{~V}\).
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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