The one line diagram of a simple three-bus power system is shown in the figure below. Each generator is represented by an emf behind the transient reactance. All impedances are expressed in per unit on a common 100 MVA base, and for simplicity, resistances are neglected. The following assumptions are made:
Determine the fault current, the bus voltages, and the line currents during the fault when:
(a) a balanced three-phase fault with fault impedance Zf = j0.02 pu occurs on bus 1;
(b) a bolted 3-phase fault occurs on bus 3.