In a Three-Phase System, a Synchronous Generator Supplies Power to a 208-Volt

Essay

In a three-phase system, a synchronous generator supplies power to a 208-volt synchronous motor through a line having an impedance of $0.5 \angle 80^{\circ}$ ohm per phase. The motor draws $10 \mathrm{~kW}$ at 0.8 p.f. leading and at rated voltage. The neutrals of both the generator and motor are grounded through impedances of $j 5 \mathrm{ohms}$ . The sequence impedances of both machines are $Z_{0}=j 5, Z_{1}=j 15$ , and $Z_{2}=j 10$ ohms. Draw the sequence networks for this system and find the line-to-line voltage at the generator terminals. Assume balanced three-phase operation.