A three bus system has the following bus power and voltage specifications:

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
Chapter8: Symmetrical Components
Section: Chapter Questions
Problem 8.10P
icon
Related questions
Question
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Knowledge Booster
Methods of Wiring
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Power System Analysis and Design (MindTap Course …
Power System Analysis and Design (MindTap Course …
Electrical Engineering
ISBN:
9781305632134
Author:
J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:
Cengage Learning