Assignment Problem: From a hydroelectric power plant 9000 MW are to be transmitted to a load center located 500 km from the plant. Based on practical line load-ability criteria, determine the number of three-phase, 60-Hz lines required to transmit this power, with one line out of service, for the following cases:
(1) 345-kV lines with Zc = 297 Ω;
(2) 500-kV lines with Zc = 277 Ω;
(3) 765-kV lines with Zc = 266 Ω.
Assume VS = 1.0 per unit, VR = 0.95 per unit, and δ = 35. Also assume that the lines are uncompensated and widely separated such that there is negligible mutual coupling between them.
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