The figure below shows the one-line diagram of a four-bus power system. The voltages, the scheduled realpower and reactive powers, and the reactances oftransmission lines are marked at this one line diagram(The voltages and reactances are in PU referred to 100MW base. The active power P2 in MW is the last threedigits (from right) of your registration number (i.e forthe student that has a registration number 202112396,P2 =396). [10]Starting from an estimated voltage at bus 2, bus 3, andbus 4 equals V2(0)= 1.15<0°, V3= 1.15 < 0°, V41.1< 0°.1- Specify the type of each bus and known &unknown quantities at each bus.2- Find the elements of the second row of theadmittance matrix (i.e. [Y21 Y22 Y23 Y24]).3- Using Gauss-Siedal fınd the voltage at bus 2 after thefirst iteration.4- Using Newton-Raphson, calculate:|- The value of real power (P2), at bus 2 after the firstiteration.Il- The second element in the first row of the Jacobianmatrix after the first iteration.2P2 = PPP MWj0.5Q2 = 150 MVARXs = j0.1j0.25j0.25V1=1.01 <0°j0.53P4 = 250 MWP3 = 150 MWj0.5Xs = j0.1Q3 = 100 MVAR|V4| =1.1

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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 = 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.

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.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Concept explainers

Compensation Techniques

The compensation techniques are the methods that are employed in the electrical control systems to enhance the performance of the system. The performance are generally affected by the factors like lag in the compensating devices, slow response of the system of the components like sensors used in the control system. The basic compensation technique involves lag compensation, lead compensation or the combination of the both.

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)
= 1.15<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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