GATE 2018 Electrical Engineering Q40

Question

The bus admittance matrix for a power system network is
$[-j39.9 \quad j20 \quad j20 \ j20 \quad -j39.9 \quad j20 	ext{ pu.} \ j20 \quad j20 \quad -j39.9]$
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?

Accepted Answer

2

Answer

$[-j19.9 \quad j20 \quad 0 \ j20 \quad -j39.9 \quad j20 	ext{ pu} \ 0 \quad j20 \quad -j19.9]$

Answer

$[-j39.95 \quad j20 \quad 0 \ j20 \quad -j39.9 \quad j20 	ext{ pu} \ 0 \quad j20 \quad -j39.95]$

Answer

$[-j19.95 \quad j20 \quad 0 \ j20 \quad -j39.9 \quad j20 	ext{ pu} \ 0 \quad j20 \quad -j19.95]$

Answer

$[-j19.95 \quad j20 \quad j20 \ j20 \quad -j39.9 \quad j20 	ext{ pu} \ j20 \quad j20 \quad -j19.95]$