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 = 1.15<0°, V3= 1.15 < 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.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter9: Unsymmetrical Faults
Section: Chapter Questions
Problem 9.13P: Consider the oneline diagram of a simple power system shown in Figure 9.20. System data in per-unit...
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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)
= 1.15<0°, V3
= 1.15 < 0°, V4
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 fınd the voltage at bus 2 after the
first iteration.
4- Using Newton-Raphson, calculate:
|- The value of real power (P2), at bus 2 after the first
iteration.
Il- The second element in the first row of the Jacobian
matrix after the first iteration.
2
P2 = PPP MW
j0.5
Q2 = 150 MVAR
Xs = j0.1
j0.25
j0.25
V1=1.01 <0°
j0.5
3
P4 = 250 MW
P3 = 150 MW
j0.5
Xs = j0.1
Q3 = 100 MVAR
|V4| =1.1
Transcribed Image Text: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) = 1.15<0°, V3 = 1.15 < 0°, V4 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 fınd the voltage at bus 2 after the first iteration. 4- Using Newton-Raphson, calculate: |- The value of real power (P2), at bus 2 after the first iteration. Il- The second element in the first row of the Jacobian matrix after the first iteration. 2 P2 = PPP MW j0.5 Q2 = 150 MVAR Xs = j0.1 j0.25 j0.25 V1=1.01 <0° j0.5 3 P4 = 250 MW P3 = 150 MW j0.5 Xs = j0.1 Q3 = 100 MVAR |V4| =1.1
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J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
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