Electrical Power Systems

Table 7.4: Line impedances
BUS code i–k Impedances in pu Z ik
1–2 0 + j/30
1–3 j0.0125
2–3 j0.05
Load low Analysis 185
7.2. igure 7.11 shows single line diagram of a 3-bus power system. BUS 3 is a P|V| bus.
(a) Using G-S method and initial assumed voltage V 2 (0) = 1.0 + j0.0 and V3 (0) = 1.03 + 0.0, and
keeping |V 3| = 1.03 pu, determine V 2 and V 3. Perform two iterations.
(b) Calculate line flows and line losses.
(c) Calculate slack bus power.
ig. 7.11: Sample power system.
7.3. Solve the problem 7.2. Using (a) decoupled N-R method. Perform two iterations only.
7.4. In problem 7.3, if line 1–3 is open, can you get convergence of the solution. Try 3 iterations using
GS method and check the results.
7.5. igure 7.12 shows a two bus sample power system. Using N-R method obtain the voltage magnitude
and phase angle of bus 2.
ig. 7.12: Two bus power system.
7.6. Solve the 3 bus power system problem as shown in ig. 7.13. Using GS and decoupled NR method.
Perform two iterations.
ig. 7.13: Three bus power system.