1.

The bus admittance matrix for a power system network is\(\left[ {\begin{array}{*{20}{c}}{ - j39.9}&{j20}&{j20}\\{j20}&{ - j39.9}&{j20}\\{j20}&{j20}&{ - j39.9}\end{array}} \right]pu\)There is a transmission line, connected between buses 1 and 3, which is represented by the circuit shown in figure.If this transmission line is removed from service, what is the modified bus admittance matrix?

A. \(\left[ {\begin{array}{*{20}{c}}{ - j19.9}&{j20}&0\\{j20}&{ - j39.9}&{j20}\\0&{j20}&{ - j19.9}\end{array}} \right]pu\)
B. \(\left[ {\begin{array}{*{20}{c}}{ - j39.95}&{j20}&0\\{j20}&{ - j39.9}&{j20}\\0&{j20}&{ - j39.95}\end{array}} \right]pu\)
C. \(\left[ {\begin{array}{*{20}{c}}{ - j19.95}&{j20}&0\\{j20}&{ - j39.9}&{j20}\\0&{j20}&{ - j19.95}\end{array}} \right]pu\)
D. \(\left[ {\begin{array}{*{20}{c}}{ - j19.95}&{j20}&{j20}\\{j20}&{ - j39.9}&{j20}\\{j20}&{j20}&{ - j19.95}\end{array}} \right]pu\)
Answer» D. \(\left[ {\begin{array}{*{20}{c}}{ - j19.95}&{j20}&{j20}\\{j20}&{ - j39.9}&{j20}\\{j20}&{j20}&{ - j19.95}\end{array}} \right]pu\)


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