A generator bus (slack bus) supplies a 100 MW, 50 Mvar load through a lossless transmission line with parameters on 100 MVA base below. Also, there is a 10 Mvar shunt capacitor at the load bus.

A generator bus (slack bus) supplies a 100 MW, 50 Mvar load through a lossless transmission line with parameters on 100 MVA base below. Also, there is a 10 Mvar shunt capacitor at the load bus.



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

10 Mvar = 0.1 p.u.

Assuming 1 pu bus voltage

2. 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. General power balance equations are given below.


1.



2.

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