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 Hz generator data rating are 40 MVA and 26 kV with a 0.85 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 kV. The transmission line impedance and length are 0.07+j0.5 Ω/mi and 8 mi. (a) Calculate the generator induced voltage versus power factor, if the network voltage is at the rated value, and the bus absorbs the generator rated power. After this, plot the voltage regulation of the system versus the power factor. Use the induced voltage and network voltage for plotting the voltage regulation. The leading power factor varies from 0.5 to 1. What power factor corresponds to 10% regulation? (b) Plot the maximum power (power angle is 90°) versus induced voltage. Determine the required induced voltage that allows the safe transfer of maximum power from the generator to the network (not to exceed the generator rating). Assume that the network voltage is the same as in part (a). The excitation voltage is the variable.