A single-circuit, 50-Hz, 3-phase transmission line is 150 km long. The line is connected to supply a load of 30 MVA at 0.85 power factor lag and 138 kV. The line constants are: R = 0.186 ohm/km, L = 2.60 mH/km, and C = 0.012 μF/km. Using nominal π representation, calculate:
(a) the ABCD constants of the line.
(b) the sending end voltage when supplying (i) no load, and (ii) the above load at the receiving end at the rated voltage of 138 kV.
(c) If the sending end voltage is fixed at 138 kV, calculate the load bus voltage at (i) no load and (ii) the above load of 30 MVA at 0.85 power factor lag.