Line flows and losses tutorial 32 figure 6 shows the

3.3 LINE FLOWS AND LOSSES
Tutorial 3.2
Figure 6 shows the one-line diagram of a simple three-bus power system with generation at bus 1.
The voltage at bus 1 is 𝑉𝑉
1
= 1.06 ∠ 0
°
pu. The scheduled loads on buses 2 and 3 are marked on the
diagram. Line impedances are marked in pu on a 100 MVA base. For the purpose of hand
calculations, line resistances and line charging susceptances are neglected.
a) Using Gauss-Seidel method and initial estimates of 𝑉𝑉
2
( 0 )
= 1.0 + 𝑗𝑗 0.0 and 𝑉𝑉
3
( 0 )
= 1.0 + 𝑗𝑗 0.0 ,
determine 𝑉𝑉
2
and 𝑉𝑉
3
. Perform two iterations. (

3.3 LINE FLOWS AND LOSSES
Tutorial 3.2
Figure 6

3.3 LINE FLOWS AND LOSSES
Tutorial 3.3
Figure 7 shows the one-line diagram of a simple three-bus power system with generation at buses 1 and 3. The
voltage at bus 1 is 𝑉𝑉
1
= 1.025 ∠ 0
°
pu. Voltage magnitude at bus 3 is fixed at 1.03 pu with a real power
generation of 300 MW. A load consisting of 400 MW and 200 MVar is taken from bus 2. Line impedances are
marked in per unit on a 100 MVA base. For the purpose of hand calculations,
line resistances and line charging susceptances are neglected.
a) Using Gauss-Seidel method and initial estimates of 𝑉𝑉
2
( 0 )
= 1.0 + 𝑗𝑗𝑗 .0 and 𝑉𝑉
3
( 0 )
= 1.03 + 𝑗𝑗𝑗 .0 and keeping
𝑉𝑉
3
= 1.03 pu, determine the phasor values of 𝑉𝑉
2
and 𝑉𝑉
3
. Perform two iterations. (

3.3 LINE FLOWS AND LOSSES
Tutorial 3.3
Figure 7