ELEN 3441 – Fundamentals of Power Engineering
Spring 2011
Page  1
Homework 7 – Due April 29, 11
7.1. (20 pt.) Calculate the dc resistance in ohms:
a) per kilometer for an aluminum conductor with a 3 cm diameter;
b) per
mile
for a harddrawn copper conductor with a 1 inch diameter. (Note that 1 mile = 1.609 km).
7.2. (30 pt.) Consider an overhead single phase, 8 kV, 50 Hz, 50 kmlong transmission line consisting
of two aluminum conductors with a 3 cm diameter separated by a spacing of 2 meters with the AC
resistance of 2.1 Ohms.
a) Calculate the inductive reactance of this line in Ohms.
b) Calculate the shunt admittance of the line in Siemens per km.
c) If the line is now supplying 8 kV to an 800 kVA, 0.9 PF lagging singlephase load,
what is the
sending end voltage and current of this transmission line?
d) If the line is now supplying 8 kV to an 800 kVA, 0.9 PF lagging singlephase load, what is the
efficiency of the transmission line?
e) If the line is now supplying 8 kV to an 800 kVA, 0.9 PF lagging singlephase load, what is the
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 Spring '10
 ee
 Alternating Current, Electrical resistance, Transmission line, Electrical conductor

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