Z-bus matrix of 3 bus power system is given below, due to fault at bus-3 ( as shown). Find the final voltage at bus1 and bus-2. Consider the all bus voltage as 1 p.u. prior to the fault. Bus impedances are in p.u. values.

\(\begin{bmatrix} Z_{Bus} \end{bmatrix} = j\begin{bmatrix} 0.4054 & 0.1622 & 0.3243\\ 0.1622 & 0.3649 & 0.2297\\ 0.3243 & 0.2297 & 0.4595 \end{bmatrix}\)

1
V1 = 0.29 p.u, V2 = 0.50 p.u
2
V1 = 0.50 p.u, V2 = 0.29 p.u
3

V1 = 0.40 p.u, V2 = 0.50 p.u      

4
V1 = 0.50 p.u, V2 = 0.40 p.u

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