(20 points) a gas-driven turbine is used to drive a small synchronous generator. the machine is wye-connected, has 4 poles, and is rated at 13.8 kv (line), 10 mva (three-phase) with a synchronous reactance of 18 ohms (negligible armature resistance). a prime mover provides the source of mechanical power that keeps the shaft speed constant at 1800 rpm. the machine is connected to the utility three-phase feeder which keeps the terminal voltage fixed at 13.8 kv, 60 hz (infinite bus). a) suppose that the generator is initially delivering 5 mva at a power factor of 0.8 lagging. calculate: i. the three-phase real and reactive power delivered to the electrical load,