Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN: 9781305632134
Author: J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher: Cengage Learning
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Chapter 6, Problem 6.34P
To determine
Value of voltage V3 using Gauss-Seidel method after second iteration
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Students have asked these similar questions
following figure shows the one-line diagram of a power system. Bus 1 is selected as
a reference bus (slack bus), and bus 2 is load bus. Using the Gauss-Seidel method,
determine the value of the voltage at the load bus 2 and perform two iteration.
Moreover determine the complex power flow at bus 1 and also active and reactive
power in transmission line. The line impedance on a base of 100 MVA. Use an initial
estimate of V,º = 1+ j(0) .
S1
Z12 = 0.02 + j0.04
2
S2 = 280 MW +j60 Mvar
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
Chapter 6 Solutions
Power System Analysis and Design (MindTap Course List)
Ch. 6 - For a set of linear algebraic equations in matrix...Ch. 6 - For an NN square matrix A, in (N1) steps, the...Ch. 6 - Prob. 6.9MCQCh. 6 - Prob. 6.11MCQCh. 6 - Using Gauss elimination, solve the following...Ch. 6 - Prob. 6.9PCh. 6 - Determine the bus admittance matrix (Ybus) for the...Ch. 6 - Prob. 6.34PCh. 6 - Prob. 6.37PCh. 6 - Prob. 6.38P
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- Expand 6k=13m=12Dkm.arrow_forwardFor an NN square matrix A, in (N1) steps, the technique of Gauss elimination can transform into an ____________ matrix.arrow_forwardQ2. 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 MVARarrow_forward
- 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.arrow_forwardThe Gauss-Seidel is an iterative method used to solve a set of nonlinear equations in the power flow. For the power network shown in Figure below, bus 1 is a slack/swing bus with V1 =1.0 L per unit and bus 2 is a load bus with P2 = 280 MW and Q2 = 60 MVar. The line impedance on a base of 100 MVA is Z = 0.02 +j0.04 per unit. Using Gauss-Seidel method, show how you determine V2 (first iteration only), and the power loss in line 1-2. Use an initial estimate of per unit but do not need to solve them numerically. After four iterations the voltage at bus 2 converges to per unit. Z12=0.02+j0.04 PLarrow_forwardFollowing figure shows the one-line diagram of a two bus system. Take bus 1 as slack bus, bus 2 as load (PQ) bus. Neglect the shunt charging admittance. Obtain the bus admittance matrixYBUs and find V₂ and 62, power flows and line losses using FDLF method. All the values are given in per unit on 100MVA base. Use a tolerance of 0.001 for power mismatch. 1 Z12= 0.12+10.16 Slack bus V₁ 1.0/0⁰ pu 2 PL2=1.0pu Q12=0.5puarrow_forward
- How do we handle a PV bus in the Gauss Seidel Method? What will happen to the bus voltage if the reactive power at a PV bus exceeds the upper bound? And why?arrow_forward1. FIGURE 52 shows the one-line diagram of a simple three-bus power system with generation at bus I. The voltage at bus l is V1 = 1.0L0° per unit. The scheduled loads on buses 2 and 3 are marked on the diagram. Line impedances are marked in per unit on a 100 MVA base. For the purpose of hand calculations, line resistances and line charging susceptances are neglected a) Using Gauss-Seidel method and initial estimates of Va 0)-1.0+)0 and V o)- ( 1.0 +j0, determine V2 and V3. Perform two iterations (b) If after several iterations the bus voltages converge to V20.90-j0.10 pu 0.95-70.05 pu determine the line flows and line losses and the slack bus real and reactive power. 2 400 MW 320 Mvar Slack 0.0125 0.05 300 MW 270 Mvar FIGURE 52arrow_forwardFor the system in Figure 4 with given generation and load dispatch determine the voltages after two itterations of Gauss-Seidel method. Assume the initial voltage to be 1.01 at angle of 0◦ pu at bus 1, 1.015 at angle of 0◦ pu at bus 2, and 1.0 at angle of 0◦ pu at bus 3. All line impedances are in per unit on a common base, and charging is neglected. Take base power of 100 MVA.arrow_forward
- A Moving to another question will save this response. Question 1 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 unit. (a) Using Gauss-Seidel method, determine V. Use an initial estimate of V = 1.0 + j0.0 and perform two iterations. ie.Deternine(a)V2' and (b)Vz² Z 0.01+ j0.02 2 S 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 A Moving to another question will save this response. here to search fs I0I 10 23 2 3 4 LO %24 O O O Oarrow_forward2. The Figure below shows the impedance diagram for a 3-bus system. Using the Gauss- Seidel method, perform 2 iterations to obtain the voltage magnitude and angles at buses 2 and 3. Impedances are given on 100 MVA base. For the first iteration assume V₂[0] = 1.00 ≤ 0° and V3[0] = 1.03 < 0º. Ğ 1 Slack bus 1.02L 0° PV Bus |V3|=1.03 P3=150MW Line 13 13-0.0059+j0.0235 pu Line 12 Z12=0.02 + j0.06 pu Line 23 223 0.0055 +j0.0183 pu Load bus 200MW + 50MVAR ↓ 3arrow_forwardQ4// 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.Uarrow_forward
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