In the power system network shown in Figurebelowbus 1 is a slack bus with 1.0/0° per unit and bus 2 is a load bus with S2 = 300 MW + 80 Vi %3D %3D Mvar. The line impedance on a base of 100 MVA is Z = 0.01 + j0.02 per %3D unit. (a) Using Gauss-Seidel method, determine V. Use an initial estimate of V = 1.0 + j0.0 and perform two iterations. i.e.Deternine (a)V2' and (b)Vz? Z12 = 0.01+ j0.0 2 || 2 S 300 MW+j80 Mvar (a) 0.945 - j 0.025 (b) 0.994- j0.0571 (a) 0.965 - j 0.0255 (b) 0.914 - j0.0529 (a) 0.954 - j 0.052 (b) 0.949 - j0.0517 (a) 0.914 - j0.0152 (b) 0.949 - j0.0517

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
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.43P
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Power system analysis
In the power system network shown in Figurebelowbus 1 is a slack bus with
1.0/0° per unit and bus 2 is a load bus with S2 = 300 MW + 80
Mvar. The line impedance on a base of 100 MVA is Z 0.01 + j0.02per
unit.
(a) Using Gauss-Seidel method, determine V,. Use an initial estimate of
V(0)
V = 1.0 + j0.0 and perform two iterations. i.e.Deternine(a)V2 and (b)V,?
Z12 0.01+ j0.0 2
2.
S 300 MW +j80 Mvar
(a) 0.945 - j 0.025 (b) 0.994- j0.0571
(a) 0.965 - j 0.0255 (b) 0.914 - j0.0529
(a) 0.954 - j 0.052 (b) 0.949 - j0.0517
(a) 0.914 - j 0.0152 (b) 0.949 - j0.0517
Transcribed Image Text:In the power system network shown in Figurebelowbus 1 is a slack bus with 1.0/0° per unit and bus 2 is a load bus with S2 = 300 MW + 80 Mvar. The line impedance on a base of 100 MVA is Z 0.01 + j0.02per unit. (a) Using Gauss-Seidel method, determine V,. Use an initial estimate of V(0) V = 1.0 + j0.0 and perform two iterations. i.e.Deternine(a)V2 and (b)V,? Z12 0.01+ j0.0 2 2. S 300 MW +j80 Mvar (a) 0.945 - j 0.025 (b) 0.994- j0.0571 (a) 0.965 - j 0.0255 (b) 0.914 - j0.0529 (a) 0.954 - j 0.052 (b) 0.949 - j0.0517 (a) 0.914 - j 0.0152 (b) 0.949 - j0.0517
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J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
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