Question

The figure below shows the one-line diagram of a four-bus power system. The voltages, the scheduled real power and reactive powers, and the reactances of transmission lines are marked at this one line diagram (The voltages and reactances are in PU referred to 100 MW base. The active power P2 in MW is the last three digits (from right) of your registration number (i.e for the student that has a registration number 202112396, P2 =396). [10] Starting from an estimated voltage at bus 2, bus 3, and bus 4 equals V2(0) = 1.12<0°, V3(0) = 1.12 < 0°, V4(0) = 1.1< 0°. 1- Specify the type of each bus and known & unknown quantities at each bus. 2- Find the elements of the second row of the admittance matrix (i.e. [Y21 Y22 Y23 Y24]). 3- Using Gauss-Siedal find the voltage at bus 2 after the first iteration. 4- Using Newton-Raphson, calculate: I- The value of real power (P2) at bus 2 after the first iteration. II- The second element in the first row of the Jacobian matrix after the first iteration. P2 = PPP MW Q2 = 150 MVAR j0.5 j0.25 j0.25 P4 = 250 MW Xs = j0.1 |V4|=1.1 j0.5 V1 = 1.01 <0° Xs = j0.1 P3 = 150 MW Q3 = 100 MVAR

          The figure below shows the one-line diagram of a four-bus power system. The voltages, the scheduled real power and reactive powers, and the reactances of transmission lines are marked at this one line diagram (The voltages and reactances are in PU referred to 100 MW base. The active power P2 in MW is the last three digits (from right) of your registration number (i.e for the student that has a registration number 202112396, P2 =396). [10]
Starting from an estimated voltage at bus 2, bus 3, and bus 4 equals V2(0) = 1.12<0°, V3(0) = 1.12 < 0°, V4(0) = 1.1< 0°.
1- Specify the type of each bus and known & unknown quantities at each bus.
2- Find the elements of the second row of the admittance matrix (i.e. [Y21 Y22 Y23 Y24]).
3- Using Gauss-Siedal find the voltage at bus 2 after the first iteration.
4- Using Newton-Raphson, calculate:
I- The value of real power (P2) at bus 2 after the first iteration.
II- The second element in the first row of the Jacobian matrix after the first iteration.
P2 = PPP MW
Q2 = 150 MVAR
j0.5
j0.25
j0.25
P4 = 250 MW
Xs = j0.1
|V4|=1.1
j0.5
V1 = 1.01 <0°
Xs = j0.1
P3 = 150 MW
Q3 = 100 MVAR

The figure below shows the one-line diagram of a four-bus power system. The voltages, the scheduled real power and reactive powers, and the reactances of transmission lines are marked at this one line diagram (The voltages and reactances are in PU referred to 100 MW base. The active power P2 in MW is the last three digits (from right) of your registration number (i.e for the student that has a registration number 202112396, P2 =396). [10]
Starting from an estimated voltage at bus 2, bus 3, and bus 4 equals V2(0) = 1.12<0°, V3(0) = 1.12 < 0°, V4(0) = 1.1< 0°.
1- Specify the type of each bus and known unknown quantities at each bus.
2- Find the elements of the second row of the admittance matrix (i.e. [Y21 Y22 Y23 Y24]).
3- Using Gauss-Siedal find the voltage at bus 2 after the first iteration.
4- Using Newton-Raphson, calculate:
I- The value of real power (P2) at bus 2 after the first iteration.
II- The second element in the first row of the Jacobian matrix after the first iteration.
P2 = PPP MW
Q2 = 150 MVAR
j0.5
j0.25
j0.25
P4 = 250 MW
Xs = j0.1
|V4|=1.1
j0.5
V1 = 1.01 <0°
Xs = j0.1
P3 = 150 MW
Q3 = 100 MVAR

Added by Lauren M.

Question

Please give Ace some feedback