A three-phase power of 3600 MW is to be transmitted via four identical 60-Hz transmission lines for a distance of 300 Km. From a preliminary line design, the line phase constant and surge impedance are given by β = 9.46 x 10⁻⁴ radian/Km and Zc = 343 Ω, respectively.

Based on the practical line loadability criteria determine the suitable nominal voltage level in kV for each transmission line. Assume Vs = 1.0 pu, Vr = 0.9 pu, and the power angle δ = 36.87°.

(b) For the transmission voltage level obtained in (a) calculate the theoretical maximum power that can be transferred by the transmission line.