1.FIGURE 52 shows the one-line diagram of a simple three-bus power system withgeneration at bus I. The voltage at bus l is V1 = 1.0L0° per unit. The scheduledloads on buses 2 and 3 are marked on the diagram. Line impedances are marked inper unit on a 100 MVA base. For the purpose of hand calculations, line resistancesand line charging susceptances are neglecteda) Using Gauss-Seidel method and initial estimates of Va0)-1.0+)0 and V o)-(1.0 +j0, determine V2 and V3. Perform two iterations(b) If after several iterations the bus voltages converge toV20.90-j0.10 pu0.95-70.05 pudetermine the line flows and line losses and the slack bus real and reactive power.2400 MW320 MvarSlack0.01250.05300 MW270 MvarFIGURE 52

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Asked Mar 1, 2019
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1.
FIGURE 52 shows the one-line diagram of a simple three-bus power system with
generation at bus I. The voltage at bus l is V1 = 1.0L0° 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 neglected
a) Using Gauss-Seidel method and initial estimates of Va
0)-1.0+)0 and V o)-
(
1.0 +j0, determine V2 and V3. Perform two iterations
(b) If after several iterations the bus voltages converge to
V20.90-j0.10 pu
0.95-70.05 pu
determine the line flows and line losses and the slack bus real and reactive power.
2
400 MW
320 Mvar
Slack
0.0125
0.05
300 MW
270 Mvar
FIGURE 52
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1. FIGURE 52 shows the one-line diagram of a simple three-bus power system with generation at bus I. The voltage at bus l is V1 = 1.0L0° 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 neglected a) Using Gauss-Seidel method and initial estimates of Va 0)-1.0+)0 and V o)- ( 1.0 +j0, determine V2 and V3. Perform two iterations (b) If after several iterations the bus voltages converge to V20.90-j0.10 pu 0.95-70.05 pu determine the line flows and line losses and the slack bus real and reactive power. 2 400 MW 320 Mvar Slack 0.0125 0.05 300 MW 270 Mvar FIGURE 52

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Expert Answer

Step 1

Convert the line impedances into admittances, using Y=1/Z 

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Step 2

Base MVA= 100-MVA

Bus 2 & Bus 3 are PQ Buses, the complex loads are expressed in per units as 

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Step 3

Starting from the initial estimates of V20 and V30 , the voltages V2 and V3 can...

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