(Solved): A three-phase wye-connected synchronous generator supplies a network through a transmission line. ...

A three-phase wye-connected synchronous generator supplies a network through a transmission line. The network can absorb or deliver power while maintaining its terminal voltage constant. The four-pole, \( 60 \mathrm{~Hz} \) generator data ratings are \( 60 \mathrm{MVA} \) and \( 26 \mathrm{kV} \) with a \( 0.85 \mathrm{p} \).u. reactance. The field current of the generator can be adjusted to regulate the excitation (induced) voltage from \( 0.75 \) to \( 1.5 \) times the rated voltage. The network voltage rating is \( 24 \mathrm{kV} \). The transmission line impedance and length are \( 0.1+\mathrm{j} 0.5 \Omega / \mathrm{mi} \) and \( 8 \mathrm{mi} \). Calculate the generator-induced voltage for a power factor of \( 0.8 \) if the network voltage is at the rated value and the bus absorbs the generatorrated power.