6.10. In the two-bus system shown in Figure 6.23, bus 1 is a slack bus with V₁ = 1.0/0° pu. A load of 150 MW and 50 Mvar is taken from bus 2. The line admittance is y12 = 102-73.74° pu on a base of 100 MVA. The expression for real and reactive power at bus 2 is given by P210|2||V| cos(106.26° 52 + 1) + 10|v2|2 cos(-73.74°) Q2-10|V||V| sin(106.26° - 82 +51) - 101V21² sin(-73.74°) Using Newton-Raphson method, obtain the voltage magnitude and phase angle of bus 2. Start with an initial estimate of [V210) 1.0 pu and 52(0), 0°. Perform two iterations. 2 1 150 MW ¥12 = 2.8-j9.6 + 50 Mvar V₁ = 1.020° FIGURE 6.23 One-line diagram for Problem 6.10.