A generator is connected to an infinite bus through a double circuit line as shown

The admittance matrix Y is given by

1
\(\left[ {\begin{array}{*{20}{c}} {j5}&0&{ - j5}\\ 0&{j5}&{ - j5}\\ { - j5}&{ - j5}&{j10} \end{array}} \right]\)
2
\(\left[ {\begin{array}{*{20}{c}} { - j5}&0&{j5}\\ 0&{ - j5}&{j5}\\ {j5}&{j5}&{ - j10} \end{array}} \right]\)
3
\(\left[ {\begin{array}{*{20}{c}} { - j5}&0&{ - j5}\\ 0&{j5}&{ - j5}\\ { - j5}&{ - j5}&{j10} \end{array}} \right]\)
4
\(\left[ {\begin{array}{*{20}{c}} { - j5}&{j10}&{j5}\\ {j10}&{ - j5}&{j5}\\ {j5}&{j5}&{ - j10} \end{array}} \right]\)

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