(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 1.02Z-8.32° p.u. respectively, calculate the following; (i) Real and reactive power generated at bus 1 (ii) Power losses in branch (2-3)

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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Q1
A three bus system has the following bus power and voltage specifications:
Bus
Real
Reactive
Generated Generated
Voltage
Bus type
Power
Power
Real
Reactive
(p.u.)
Demand
Demand
Power
Power
(p.u.)
(p.u.)
(p.u.)
(р.и.)
0.4
0.25
unspecified unspecified
1.05 + j0.0
Slack
1.5
0.9
unspecified
P-Q
3
1
unspecified
1.02
Р-V
(magnitude)
Angle unspecified
The Ybus matrix is shown as follows:
[542-68° 22Z116°
Y = 22/116°
312108°
582-63° 33Z107° p.u.
bus
312108°
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 1.02Z-8.32° p.u.
respectively, calculate the following;
(i) Real and reactive power generated at bus 1
(ii) Power losses in branch (2-3)
1.
2.
Transcribed Image Text:Q1 A three bus system has the following bus power and voltage specifications: Bus Real Reactive Generated Generated Voltage Bus type Power Power Real Reactive (p.u.) Demand Demand Power Power (p.u.) (p.u.) (p.u.) (р.и.) 0.4 0.25 unspecified unspecified 1.05 + j0.0 Slack 1.5 0.9 unspecified P-Q 3 1 unspecified 1.02 Р-V (magnitude) Angle unspecified The Ybus matrix is shown as follows: [542-68° 22Z116° Y = 22/116° 312108° 582-63° 33Z107° p.u. bus 312108° 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 1.02Z-8.32° p.u. respectively, calculate the following; (i) Real and reactive power generated at bus 1 (ii) Power losses in branch (2-3) 1. 2.
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