The Gauss-Seidel is an iterative method used to solve a set of nonlinear equations in the power flow. For the power network shown in Figure below, bus 1 is a slack/swing bus with V1 = 1.0 L per unit and bus 2 is a load bus with P2 = 280 MW and Q2 = 60 %3D MVar. The line impedance on a base of 100 MVA is Z = 0.02 + j0.04 per unit. Using Gauss-Seidel method, show how you determine V2 (first iteration only), and the power loss in line 1-2. Use an initial estimate of per unit but do not need to solve them numerically. After four iterations the voltage at bus 2 converges to per unit.
The Gauss-Seidel is an iterative method used to solve a set of nonlinear equations in the power flow. For the power network shown in Figure below, bus 1 is a slack/swing bus with V1 = 1.0 L per unit and bus 2 is a load bus with P2 = 280 MW and Q2 = 60 %3D MVar. The line impedance on a base of 100 MVA is Z = 0.02 + j0.04 per unit. Using Gauss-Seidel method, show how you determine V2 (first iteration only), and the power loss in line 1-2. Use an initial estimate of per unit but do not need to solve them numerically. After four iterations the voltage at bus 2 converges to per unit.
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![The Gauss-Seidel is an iterative method used to solve a set of nonlinear equations in
the power flow. For the power network shown in Figure below, bus 1 is a slack/swing
bus with V1 =1.0 L per unit and bus 2 is a load bus with P2 = 280 MW and Q2 = 60
MVar. The line impedance on a base of 100 MVA is Z = 0.02 +j0.04 per unit. Using
Gauss-Seidel method, show how you determine V2 (first iteration only), and the
power loss in line 1-2. Use an initial estimate of per unit but do not need to solve
them numerically. After four iterations the voltage at bus 2 converges to per unit.
Z12=0.02+j0.04
PL](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7ea2ee3-c6d1-4295-9f9b-68e2d7bd17d0%2F6fe3c851-d524-4d81-bfee-74114e8af6ec%2Fg7pehhn_processed.png&w=3840&q=75)
Transcribed Image Text:The Gauss-Seidel is an iterative method used to solve a set of nonlinear equations in
the power flow. For the power network shown in Figure below, bus 1 is a slack/swing
bus with V1 =1.0 L per unit and bus 2 is a load bus with P2 = 280 MW and Q2 = 60
MVar. The line impedance on a base of 100 MVA is Z = 0.02 +j0.04 per unit. Using
Gauss-Seidel method, show how you determine V2 (first iteration only), and the
power loss in line 1-2. Use an initial estimate of per unit but do not need to solve
them numerically. After four iterations the voltage at bus 2 converges to per unit.
Z12=0.02+j0.04
PL
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