For a $13\mathrm{.}8kV,0\mathrm{.}85$ power factor, $3-$phase, Y$-$connected generator with a rating of $120$ MW a differential protection $(86)$ is employed. During through fault conditions, $C{T}_2$ saturates, yielding an induced EMF equal to $75\%$ of $C{T}_1.$ The stability factor is $2\mathrm{.}5.$ The relay is set at $10\%$ of $5$ A $,$ with a burden of $3$ VA$.$

$x_d=20\%$

$x_d^{\text{'}}=30\%$

$x_2=20\%$

$x_0=10\%$

$CT$ ratio $=\frac{7500}{5}A$

$R_{CT}=1\mathrm{.}5$

Lead resistance CT$1$ to relay: $1\mathrm{.}5$

Lead resistance CT$2$ to relay: $2\mathrm{.}5$