Problem 2 (10 points) A generator bus (slack bus) supplies a 100 MW, 50 Mvar load through a transmission line that can be modeled with a lossless short transmission line model with per unit impedance (100 MVA base) of j0.12. Also assume there is also a 100 Mvar capacitor (measured at 1.0 per unit voltage) at the load bus. A) (2 points) Determine the bus admittance matrix (Ybus) for the system. (Note: Include shunt capacitor in the admittance matrix) B) (8 points) Calculate the voltage magnitude and angle at the load bus using the Newton- Rapson method. Use the flat-start. Provide the values after 1 iteration. The general power balance equations are given below. |V₂||VK|(Gikcoseik + Biksinoik) = PG₁ - PDi P₁ = Q₁ = |V₂||VK|(G₁ksinoik - Bikcos0ik) = QGi — QDi k=1

Fig: 1