Figure 6.20 shows the one-line diagram of a simple three-bus power system with generation at bus 1. The voltage at bus 1 is V1 = 1.020° per unit. The scheduled loads on buses 2 and 3 are marked on the diagram. 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 ne- glected. (a) Using Gauss-Seidel method and initial estimates of V, = 1.0+ j0 and V0 = 1.0 + j0, determine V2 and V3. Perform two iterations. %3D

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.46P
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Problem 6.7 book power system analysis by hadi sadaat
250 6. POWER FLOW ANALYSIS
Vị = 120° !
i 30
400 MW
++ 320 Mvar
Slack
j0.0125
50.05
3
300 MW 270 Mvar
FIGURE 6.20
One-line diagram for Problem 6.7.
6.7. Figure 6.20 shows the one-line diagram of a simple three-bus power system
with generation at bus 1. The voltage at bus 1 is Vị = 1.020° per unit.
The scheduled loads on buses 2 and 3 are marked on the diagram. 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 ne-
glected.
(a) Using Gauss-Seidel method and initial estimates of V,)
= 1.0+ j0, determine V2 and V3. Perform two iterations.
(b) If after several iterations the bus voltages converge to
= 1.0+ j0 and
V2 = 0.90 – j0.10 pu
V3 = 0.95 – j0.05 pu
determine the line flows and line losses and the slack bus real and reactive
power. Construct a power flow diagram and show the direction of the line
flows.
(c) Check the power flow solution using the Ifgauss and other required pro-
grams. (Refer to Example 6.9.) Use a power accuracy of 0.00001 and an
acceleration factor of 1.0.
Transcribed Image Text:250 6. POWER FLOW ANALYSIS Vị = 120° ! i 30 400 MW ++ 320 Mvar Slack j0.0125 50.05 3 300 MW 270 Mvar FIGURE 6.20 One-line diagram for Problem 6.7. 6.7. Figure 6.20 shows the one-line diagram of a simple three-bus power system with generation at bus 1. The voltage at bus 1 is Vị = 1.020° per unit. The scheduled loads on buses 2 and 3 are marked on the diagram. 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 ne- glected. (a) Using Gauss-Seidel method and initial estimates of V,) = 1.0+ j0, determine V2 and V3. Perform two iterations. (b) If after several iterations the bus voltages converge to = 1.0+ j0 and V2 = 0.90 – j0.10 pu V3 = 0.95 – j0.05 pu determine the line flows and line losses and the slack bus real and reactive power. Construct a power flow diagram and show the direction of the line flows. (c) Check the power flow solution using the Ifgauss and other required pro- grams. (Refer to Example 6.9.) Use a power accuracy of 0.00001 and an acceleration factor of 1.0.
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