Three-bus power system with generation at bus#1. The loads at buses#2and# 3 are as marked on the diagram. Line impedances are marked in per unit on 100 MVA base. a) Using Gauss-Seidel, perform Two iterations to find out V₂ and V3 (The initial estimates of V₂0= 1+0j, V3=1.25+0.45j b) After several iterations, the bus voltages converge to : V₂-0.9346+0.1159j pu V3=0.9724+0.0504j pu calculate the line flows, line losses and the slack bus real and reactive power V₁ = 1.02520° Slack Bus 300 MW 250 Mvar*—| j0.015 3 j0.05 j0.05 2 350 MW 200 Mvar
Three-bus power system with generation at bus#1. The loads at buses#2and# 3 are as marked on the diagram. Line impedances are marked in per unit on 100 MVA base. a) Using Gauss-Seidel, perform Two iterations to find out V₂ and V3 (The initial estimates of V₂0= 1+0j, V3=1.25+0.45j b) After several iterations, the bus voltages converge to : V₂-0.9346+0.1159j pu V3=0.9724+0.0504j pu calculate the line flows, line losses and the slack bus real and reactive power V₁ = 1.02520° Slack Bus 300 MW 250 Mvar*—| j0.015 3 j0.05 j0.05 2 350 MW 200 Mvar
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![Three-bus power system with generation at bus#1. The loads at buses#2and#
3 are as marked on the diagram. Line impedances are marked in per unit on
100 MVA base.
a) Using Gauss-Seidel, perform Two iterations to find out V₂ and V3
(The initial estimates of V₂ = 1+0j, _V3=1.25+0.45j
b) After several iterations, the bus voltages converge to :
V₂=0.9346+0.1159j pu
V3-0.9724+0.0504j pu
calculate the line flows, line losses and the slack bus real and
reactive power
V₁ = 1.025/0°
Slack Bus
300 MW
250 Mvar+—|
j0.015
j0.05
j0.05
2
350 MW
200 Mvar
Note: Please use the (SG-SL) at PQ buses to find out total S at PQ buses.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24186634-7732-4d66-90ca-d9d4131bf59f%2F0f5c8bd5-343a-4af4-ba14-66998e169975%2Fnoa4ts_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Three-bus power system with generation at bus#1. The loads at buses#2and#
3 are as marked on the diagram. Line impedances are marked in per unit on
100 MVA base.
a) Using Gauss-Seidel, perform Two iterations to find out V₂ and V3
(The initial estimates of V₂ = 1+0j, _V3=1.25+0.45j
b) After several iterations, the bus voltages converge to :
V₂=0.9346+0.1159j pu
V3-0.9724+0.0504j pu
calculate the line flows, line losses and the slack bus real and
reactive power
V₁ = 1.025/0°
Slack Bus
300 MW
250 Mvar+—|
j0.015
j0.05
j0.05
2
350 MW
200 Mvar
Note: Please use the (SG-SL) at PQ buses to find out total S at PQ buses.
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