Problem #3 In the power system network shown in Figure 1. bus 1 is a slack bus with V₁1.0/0° per unit and bus 2 is a load bus with S₂ 280 MW + j60 Mvar. The line impedance on a base of 100 MVA is Z = 0.02 +0.04 per unit. (a) Using Gauss-Seidel method, determine V₂. Use an initial estimate of V1.0+ 0.0 and perform four iterations. (b) If after several iterations voltage at bus 2 converges to V₂=0.90-j0.10, determine S, and the real and reactive power loss in the line. Z12=0.02 +0.04 2 FIGURE 1 One-line diagram for Problem #3 S₂ = 280 MW +60 Mvar

Fig: 1