ELEN 3441 – Fundamentals of Power Engineering
Spring 2011
Page  1
Homework 7 – Solutions
7.1. (20 pt.) a) The resistance per meter of aluminum conductor is given by the Equation
b) The resistance per meter of harddrawn copper conductor is given by the Equation
7.2. (30 pt.) a) The series inductance per meter of this transmission line is given by the Equation
b) The shunt capacitance per meter of this transmission line is given by the Equation
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Spring 2011
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c) At 50 km length, we can treat this transmission line as a “short” line and ignore the effects of
the shunt admittance. The corresponding equivalent circuit is shown in Figure 71 below.
Figure 71
The transmission line is supplying a voltage of 8 kV at the load, so the magnitude of the current
flowing to the load is
Assuming that the voltage at the load is arbitrarily assigned to be at 0° phase, and the power
factor of the load is 0.9 lagging, the phasor current flowing to the load is
I
= 100
∠
−
25.8° A. The
voltage at the sending end of the transmission line is then
d) The complex output power from the transmission line is
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 Spring '10
 ee
 Alternating Current, Electrical resistance, Electrical conductor, 20 pt, 7.8 MW

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