(Solved): A three-phase synchronous generator is connected to an infinite bus through a transmission line The ...

A three-phase synchronous generator is connected to an infinite bus through a transmission line The inductive reactance of the transmission line is $1\Omega$, and the synchronous reactance of the machine is $2\Omega$. The line-to-line internal e.m.f. is $20\mathrm{kV}$ and the generator delivers $50\mathrm{MW}$ of real power to the infinite bus. Taking the infinite bus as the reference for the angles, the power angle is $30^{\circ }$. Compute the following: a) The line-to-line voltage magnitude of the infinite bus. b) The line-to-line voltage at the terminals of the generator c) The reactive power consumed by the transmission line d) Can the active power output of this generator be increased to $120\mathrm{MW}$ without adjusting the field current?