A three bus system has the following bus power and voltage specifications:BusRealReactiveGenerated GeneratedVoltageBus typePowerPowerRealReactive(р.u.)DemandDemandPowerPower(р.и.)(р.u.)(р.и.)(р.u.)10.40.25unspecified unspecified1.05 + j0.0Slack1.50.9unspecifiedP-Q31unspecified1.02P-V(magnitude)Angle unspecifiedThe 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 flatstart 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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Answered: A three bus system has the following…

Engineering

Electrical Engineering

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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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.

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