1a) Consider Fig Q1 below, the magnitude of voltage at bus 1 is adjusted to 1.5p.u, the scheduled loads at buses 2 and 3 are as marked on the diagram, line impedance are marked in per unit on a 100MVA base and the line charging susceptance are neglected.
i Derive the admittance matrix for the network
ii Using the Gauss-seidel method, in one iteration, determine the phasor values assuming the initial phasor values at each bus are as follow
$V_1^{(0)} = 1.05 pu$
$V_2^{(0)} = 0.9800 - j0.0599$
$V_3^{(0)} = 1.0001 - j0.05$
Find the next node phasor voltages at bus 2 and 3
iii Use the result obtained in (ii) above to find the slack bus power $S_1$
256.6 MW
110.2 Mvar
138.6 MW
45.2 Mvar
$V_1 = 1.05\angle0^\circ$
0.02 + j0.04
0.01 + j0.03
0.0125 + j0.025
FIGURE Q1
