ELEC 3207 Power Systems 2
Tutorial
Power-Flow Analysis
1.
Solve the following set of equations by Gaussian iteration within a tolerance of
0.1:
3X1 − 2X2 =12
− 6X1 +10X2 −3X3 =12
− 2X2 + 3X3 =−8
2.
Repeat problem 1 using Gauss-Siedel iteration.
3.
A one-line diagram of a three-bus power system is shown in Figure 1 where the
reactances are in pu on a 100-MVA base. Let
V1 = 1.0 ∠0 pu
V2 = 1 pu,
P2 = 0.6 pu
P3 = -1 pu,
Q3 = -0.75 pu (lagging)
Use Gauss-Seidel iteration to obtain the power-flow solution within a tolerance of
0.01 pu.
4.
Perform one Newton-Raphson iteration of the power system of problem 3.
5.
Using the solution to problem 3, calculate the power flow through line 1-3 at both
ends.
6.
Repeat problem 5 for line 2-3.
7.
Obtain the transmission losses for problem 3.
8.
Solve problem 3 by the DC power-flow technique.
9.
Obtain a Gauss-Seidel power flow solution for the power system shown in Figure
2.
10.
Obtain a Newton-Raphson power flow solution for the power system shown in
Figure
2.
11.
Obtain a DC power flow solution for the power system shown in Figure 2.
1
2
j0.2
j0.25
j0.4
3
Figure 1
Figure 2