Mu$$strame c$$mo resolver

For the system as described above and assuming that the regulators are in the neutral position,

$1.$ determine the forward and backward sweep matrices for the substation transformer and the line segment, and

$2.$ use the modified ladder technique to determine the line$-$to$-$ground voltages at Node $3$ ; use a tolerance of $0\mathrm{.}0001$ per unit, and give the voltages in actual values in volts and on a $120-$ volt base.