7. A 500 kV, 300 km, 60-Hz three-phase overhead transmission line, assumed to be lossless, has a series inductance of 0.97 mH/km per phase and a shunt capacitance of 0.0115 µF/km per phase. This three-phase lossless transmission line supply a load of 1000 MVA at 0.8 power factor lagging and at 500 kV. (a) Determine the phase constant ẞl and the surge impedance Zc. (b) Determine the capacitance/phase and total three-phase Mvars supplied by a three- phase, D-connected shunt-capacitor bank at the receiving end to maintain the receiving- end voltage at 500 kV when the sending end of the line is energized at 500 kV. (c) If series capacitive compensation of 40% is installed at the midpoint of the line, without the shunt capacitor bank at the receiving end, compute the sending-end voltage and percent voltage regulation.