Problem 1 6.12. Figure 60 shows the one-line diagram of a simple three-bus power system with generation at buses 1 and 2. The voltage at bus 1 is V = 1.040° per unit. Voltage magnitude at bus 2 is fixed at 1.05 pu with a real power generation of 400 MW. A load consisting of 500 MW and 400 Mvar is taken from bus 3. Line admittances are marked in per unit on a 100 MVA base. For the purpose of hand calculations, line resistances and line charging susceptances are neglected. 1 2 312=-j40 P2=400 MW Y13=-j20 923 = -j20 Slack Bus 3 | V2 |= 1.05 V₁ = 1.020° 500 400 MW Mvar FIGURE 60 One-line diagram for problem 6.12. Using the Newton Raphson method, determine the reactive power and voltage angle at bus 2 and the phasor values of the voltage at bus 3 accurate to four decimal places.