Homework 07 - ELEN3441FundamentalsofPowerEngineering...

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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 hard-drawn 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 km-long 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 single-phase 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 single-phase 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 single-phase load, what is the
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