The one-line diagram of a three-phase power system is as shown in Figure 32. Impedances are marked in per unit on a 100-MVA, 400-kV base. The load at bus 2 is S2 15.93 MW - j33.4 Mvar; and at bus 3 is S3 77 MW + j14 Mvar. It is required to hold the voltage at bus 3 at 400 kV. Working in per unit, determine the voltage at buses 2 and 1.
V3 = j0.5 pu
V2 = j0.4 pu
S2
S3