A three bus system has the following bus power and voltage specifications:
A three bus system has the following bus power and voltage specifications:
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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![A three bus system has the following bus power and voltage specifications:
Bus
Real
Reactive
Generated Generated
Voltage
Bus type
Power
Power
Real
Reactive
(р.u.)
Demand
Demand
Power
Power
(р.и.)
(р.u.)
(р.и.)
(р.u.)
1
0.4
0.25
unspecified unspecified
1.05 + j0.0
Slack
1.5
0.9
unspecified
P-Q
3
1
unspecified
1.02
P-V
(magnitude)
Angle unspecified
The Ybus matrix is shown as follows:
[542-68° 22Z116°
312108°
222116°
582-63°
33Z107° p.u.
31Z108°
33/107° 672-67° ]
(a)Determine the voltages at bus 2 and bus 3 after first iterations using Gauss Seidel. Use flat
start voltage.
(b) If the final value of voltage at buses 2 and 3 are 12-5.13° p.u. and 1.022-8.32° p.u.
respectively, calculate the following;
(i) Real and reactive power generated at bus 1
(ii) Power losses in branch (2-3)
2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F432ca5ae-9f24-4be6-9ddf-766a4bf8aa13%2Fda6ff486-d69e-47eb-b5cb-ef2cc1c2ae1b%2F4uaqd9a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A three bus system has the following bus power and voltage specifications:
Bus
Real
Reactive
Generated Generated
Voltage
Bus type
Power
Power
Real
Reactive
(р.u.)
Demand
Demand
Power
Power
(р.и.)
(р.u.)
(р.и.)
(р.u.)
1
0.4
0.25
unspecified unspecified
1.05 + j0.0
Slack
1.5
0.9
unspecified
P-Q
3
1
unspecified
1.02
P-V
(magnitude)
Angle unspecified
The Ybus matrix is shown as follows:
[542-68° 22Z116°
312108°
222116°
582-63°
33Z107° p.u.
31Z108°
33/107° 672-67° ]
(a)Determine the voltages at bus 2 and bus 3 after first iterations using Gauss Seidel. Use flat
start voltage.
(b) If the final value of voltage at buses 2 and 3 are 12-5.13° p.u. and 1.022-8.32° p.u.
respectively, calculate the following;
(i) Real and reactive power generated at bus 1
(ii) Power losses in branch (2-3)
2.
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