Figure below shows the single-line diagram of three-bus power system with generation at bus 1 and bus 3. The voltage at bus 1 is V₁ = 1.02520° per unit. The voltage magnitude at bus 3 is fixed at 1.05 per unit with a real power generation of 250 MW. The scheduled load on bus 2 is marked on the diagram. Line impedances are marked in per unit on a 100 MVA base. Line resistances and line charging susceptances are neglected. By using Gauss-Seidel method and initial estimates of V₂(0) = 1.020° and V3(0) = 1.0520°, determine V₂ and V3. Perform calculation for one iteration. V₁ = 1.025/0° ~ Slack Bus j0.1 j0.2 j0.4 2 j0.2 3 j0.1 250 MW 150 Mvar |V3|=1.05 P3 = 250 MW

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Author:Robert L. Boylestad
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Chapter1: Introduction
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Figure below shows the single-line diagram of three-bus power system with
generation at bus 1 and bus 3. The voltage at bus 1 is V₁ = 1.025/0° per unit.
The voltage magnitude at bus 3 is fixed at 1.05 per unit with a real power
generation of 250 MW. The scheduled load on bus 2 is marked on the
diagram. Line impedances are marked in per unit on a 100 MVA base. Line
resistances and line charging susceptances are neglected.
By using Gauss-Seidel method
and initial estimates of
V₂(0) = 1.020° and
V3(0) = 1.0520°, determine V₂
and V3. Perform calculation for
one iteration.
V₁ = 1.025/0°
j0.1
Slack Bus
j0.2
j0.4
j0.2
3
j0.1
250 MW
150 Mvar
|V3|=1.05
P3 = 250 MW
Transcribed Image Text:Figure below shows the single-line diagram of three-bus power system with generation at bus 1 and bus 3. The voltage at bus 1 is V₁ = 1.025/0° per unit. The voltage magnitude at bus 3 is fixed at 1.05 per unit with a real power generation of 250 MW. The scheduled load on bus 2 is marked on the diagram. Line impedances are marked in per unit on a 100 MVA base. Line resistances and line charging susceptances are neglected. By using Gauss-Seidel method and initial estimates of V₂(0) = 1.020° and V3(0) = 1.0520°, determine V₂ and V3. Perform calculation for one iteration. V₁ = 1.025/0° j0.1 Slack Bus j0.2 j0.4 j0.2 3 j0.1 250 MW 150 Mvar |V3|=1.05 P3 = 250 MW
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