Three-bus power system with generation at bus#1, the loads at buses#2. And the voltage bus at # 3 are as marked on the diagram. Line impedances are marked in per unit on 100 MVA base. a) Using Gauss-Seidel, perform One iterations to find out V₂ and V3 (The initial estimates of V₂ = 1.0+0j, V3=1.0+0j) b) After several iterations, the bus voltages converge to : V₂=0.90-0.1j pu V3-0.95-0.05j pu calculate the slack bus real and reactive power Note: Please use the (SG-SL) at PQ buses to find out total S at PQ buses. V₁ =1.0 <0° Slack 0.0125j 0.0333j 0.05j 300MW 270MVAR 400 MW 320 MVAR

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Three-bus power system with generation at bus#1, the loads at buses#2. And the voltage
bus at # 3 are as marked on the diagram. Line impedances are marked in per unit on 100
MVA base.
a) Using Gauss-Seidel, perform One iterations to find out V₂ and V3
(The initial estimates of V₂ = 1.0+0j, V3=1.0+0j)
b) After several iterations, the bus voltages converge to :
V₂=0.90-0.1j pu
V3-0.95-0.05j pu
calculate the slack bus real and reactive power
Note: Please use the (SG-SL) at PQ buses to find out total S at PQ buses.
V₁ =1.0 <0°
1
Slack
0.0125j
0.0333j
0.05j
300MW 270MVAR
400 MW
320 MVAR
Transcribed Image Text:Three-bus power system with generation at bus#1, the loads at buses#2. And the voltage bus at # 3 are as marked on the diagram. Line impedances are marked in per unit on 100 MVA base. a) Using Gauss-Seidel, perform One iterations to find out V₂ and V3 (The initial estimates of V₂ = 1.0+0j, V3=1.0+0j) b) After several iterations, the bus voltages converge to : V₂=0.90-0.1j pu V3-0.95-0.05j pu calculate the slack bus real and reactive power Note: Please use the (SG-SL) at PQ buses to find out total S at PQ buses. V₁ =1.0 <0° 1 Slack 0.0125j 0.0333j 0.05j 300MW 270MVAR 400 MW 320 MVAR
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