A generator bus (slack bus) supplies a 100 MW, 50 Mvar load through a transmission 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) Determine the bus admittance matrix (Ybus) for the system.

b) Calculate the voltage magnitude and angle at the load bus using the Newton-Rapson method. Use the flat-start. Provide the values after 2 iterations. The general power balance equations are given below.


a) Determine the bus admittance matrix (Ybus) for the system.





b) Calculate the voltage magnitude and angle at the load bus using the Newton-Rapson method. Use the flat-start. Provide the values after 2 iterations. The general power balance equations are given below.

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