H4. Question 16.6. In the power system network shown in Figure 51, bus 1 is a slack bus withV₁ = 1.020° per unit and bus 2 is a load bus with S₂ = 280 MW+j60 Mvar. Theline impedance on a base of 100 MVA is Z = 0.02 +0.04 per unit.=(a) Using Gauss-Seidel method, determine V₂. Use an initial estimate of V1.0 + 30.0 and perform four iterations.(b) If after several iterations voltage at bus 2 converges to V₂ = 0.90- j0.10,determine S₁ and the real and reactive power loss in the line.Z12 = 0.02 +0.041S₂ =280 MW +j60 MvarFIGURE 51One-line diagram for Problem 6.6.2

Given that, V1=1.0∠0°S2=280MW Line impedance Z=0.02+j0.04 per unit

6.6. In the power system network shown in Figure 51, bus 1 is a slack bus with V₁ = 1.0/0° per unit and bus 2 is a load bus with S₂ = 280 MW + j60 Mvar. The line impedance on a base of 100 MVA is Z = 0.02 + j0.04 per unit. -(0) (a) Using Gauss-Seidel method, determine V₂. Use an initial estimate of V 1.0+ j0.0 and perform four iterations. (b) If after several iterations voltage at bus 2 converges to V₂ = 0.90 - j0.10, determine S₁ and the real and reactive power loss in the line. Z12 = 0.02 + j0.04 1 S₂ = 280 MW+j60 Mvar FIGURE 51 One-line diagram for Problem 6.6. 2

6.6. In the power system network shown in Figure 51, bus 1 is a slack bus with V₁ = 1.0/0° per unit and bus 2 is a load bus with S₂ = 280 MW + j60 Mvar. The line impedance on a base of 100 MVA is Z = 0.02 + j0.04 per unit. -(0) (a) Using Gauss-Seidel method, determine V₂. Use an initial estimate of V 1.0+ j0.0 and perform four iterations. (b) If after several iterations voltage at bus 2 converges to V₂ = 0.90 - j0.10, determine S₁ and the real and reactive power loss in the line. Z12 = 0.02 + j0.04 1 S₂ = 280 MW+j60 Mvar FIGURE 51 One-line diagram for Problem 6.6. 2

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 6.23MCQ

See similar textbooks

Similar questions

please solve for nodal stress method. (if it is possible to apply supernodes)
In the power system network shown in Figurebelowbus 1 is a slack bus with V = 1.020° 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 + j0.02 per %3D unit. (a) Using Gauss-Seidel method, determine V. Use an initial estimate of = 1.0 + j0.0 and perform two iterations. i.e.Deternine(a)V2 and (b)V½? Z12 = 0.01+ j0.0 2 2 S2 300 MW+80 Mvar (a) 0.954 - j0.052 (b) 0.949 - j0.0517 (a) 0.914 - j0.0152 (b) 0.949 - j0.0517 (a) 0.945 - j0.025 (b) 0.994- j0.0571 (a) 0.965 - j0.0255 (b) 0.914 - j0.0529
A network consisting of a set of generator and load buses is to be modeled with a DC power flow, for the sake of conducting a contingency analysis. The initial flows calculated with the DC power flow give the following information: f°2-4 = - 65.3 MW and fº4-5 = 13.6 MW. The following values of LODF and PTDF factors are given: PTDF54,2-4 = -0.2609, LODF2-4,4-5 = -0.6087. Calculate the contingency flow on line 2-4 due to outage of line 4-5. Select one: O a. -75.5MW O b. None of these O c. -68.85MW O d. -73.58MW O e. 75.5MW O f. -61.75MW
Q2. Figure Q2 shows the single-line diagram. The scheduled loads at buses 2 and 3 are as marked on the diagram. Line impedances are marked in per unit on 100 MVA base and the line charging susceptances are neglected. a) Using Gauss-Seidel Method, determine the phasor values of the voltage at load bus 2 and 3 according to second iteration results. b) Find slack bus real and reactive power according to second iteration results. c) Determine line flows and line losses according to second iteration results. d) Construct a power flow according to second iteration results. Slack Bus = 1.04.20° 0.025+j0.045 0.015+j0.035 0.012+j0,03 3 |2 134.8 MW 251.9 MW 42.5 MVAR 108.6 MVAR
A loss less TiL with characteristic impedance of to is terminated in Zr=3Z0. use crank diagram to sketch the voltage versus distance from the load, (Assume vst = 1 volt). @ Repeat the above How for Zv=Zo/3-
What is load curve
State True or false a- The DC load flow study is a linear analysis b- In a load frequency control, a generator unit equipped with a governor can be assumed to be a controlled unit.
3. Which one of the following method uses weak coupling between reactive power and voltage angle?. A. Newton - Raphson Method B. Decoupled Method C. Gauss-Seidal Method
For the system shown in figure, voltages V2, V3 and angles 82, 83 are calculated using Newton-Raphson method. shunt line charging admittances are neglected. All the values are given in per unit on 100MVA base. Calculate the complex power flows S12 and S32 in actual units. 1) Z12 = 0.01+ j0.02 Z3 = 0.02+ j0.04 PL G QL Slack bus V2 = 0.96L -1.67° V3 = 0.884 - 5.48° Vi=1.0/0° (estimated time to answer this question: 13 minutes)
By using Gauss-Siedal method, the voltage of the bus 2 after two iteration is Your answer By using Gauss-Siedal method the voltage of the bus 3 after two iteration is Your answer For a system consist from 3 buses and bus 1 is the slack bus. The data of the system are:- 0.25 -0.2 -0.05 Ybus j -0.2 0.225 -0.025 p.u. -0.05 -0.025 0.075 V₁=1+j0 p.u., P₂+jQ2-0.6+j0.25 p.u., P3+jQ=0.8+j0.5 p.u.
In the power system network shown in Figurebelowbus 1 is a slack bus with V = 1.020° per unit and bus 2 is a load bus with S2 = 300 MW + j80 Mvar. The line impedance on a base of 100 MVA is Z = 0.01 + j0.02 per unit. (a) Using Gauss-Seidel method, determine V2 . Use an initial estimate of V0) = 1.0 + j0.0 and perform twoiterations. i.e.Deternine(a)V2' and (b)Vz? Z12 = 0.01+ j0.0 2 2- S2 =300 MW +j80 Mvar (a) 0.914 - j0.0152 (b) 0.949 - j0.0517 (a) 0.945 - j0.025 (b) 0.994- j0.0571 (a) 0.954 - j 0.052 (b) 0.949 - jo.0517 (a) 0.965 - j0.0255 (b) 0.914 - j0.0529
Q4// for the power system as shown in the figure below, using Gauss-Seidel, determine the voltages at bus-2 and bus-3 after first iteration. V₁ = 120° P.U Slack bus 0.4+ j0.3 P.U (3) (1). jo.025 P.U jo.05 P.U j0.2 P.U -(2) 0.8+ j0.6 P.U