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 6.38P
To determine
The value of
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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
Q4(b) The equivalent circuit of a single phase short transmission line is shown
in Figure Q4(b). Here, the total line resistance and inductance are shown
as lumped instead of being distributed.
i) Sketch the phasor diagram and assess with by labeling the details for
the A.C. series circuit shown in Figure Q4(b) for the lagging power factor
at load point (Vn).
ii) Summarize, what if the load change from low value to high value
shown in Figure Q4(b).
R
XL
el
Vs
Vn
Figure Q4(b)
Load
1.The voltage magnitude and phase angle are the quantities to be determined after load flow analysis for............. bus.
2.The total reactance of the transmission system is reduced by installing a series capacitor.
Select one:
True
False
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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- Transmission line conductance is usually neglected in power system studies. True Falsearrow_forwardExpand 6k=13m=12Dkm.arrow_forwardIn 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 - j0.0529arrow_forward
- A DC generator of voltage Vg and internal resistance Rg is connected to a lossy transmission line characterised by a resistance per unit length R and a conductance per unit length G. a.)Write the governing voltage and current transmission line eequations. b.)Find the general solutions for v(z) and I(z). c.)Specialise the solutions in part(b) to those for an infinte line. d.)Specialize the solutions in part(b) to those for a finite line of length l that is terminated in a load resistance Rl.arrow_forwardThe equivalent circuit of a single phase short transmission line is shown in Figure Q4 (b). Here, the total line resistance and inductance are shown as lumped instead of being distributed. i) Sketch the phasor diagram and assess with by labeling the details for the A.C. series circuit shown in Figure Q4 (b) for the lagging power factor at load point (Vn). ii) Summarize, the impact of voltage regulation and efficiency, if the line resistance and line increases are doubled Figure Q4(b). R XL Vs Vn Figure Q4(b) Loadarrow_forwardThe impedance of the 500 km long transmission line is Z = 0.1 + j * 0.4 ohm / km. At the end of the line, 988.1 A current is drawn under 400 kV interphase voltage. The angle of the current is -68. It is 6 degrees. With the short transmission line equations, the amplitude value of the phase neutral value of the busbar voltage to which the generator at the beginning of the line is connected is given correctly. A) 231.34 B) 52.35 C) 400 D) 380.28 E) 388.57arrow_forward
- Write current equations and determine the admittance matrix of the network Determine the load voltage VL at the 5th Bus-Bar, the current of the Load IL and the current of each generator.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_forwardIn 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 - j0.0529arrow_forward
- How will you ensure minimum cost for the generation of required power for a given load? You may neglect transmission line losses. Support with mathematical formulationsarrow_forwardConsider a 3-bus system of the reactive network in Figure below where bus-bar 1 is slack. Use Gauss-Seidel method to determine the voltage at bus 2 and bus 3. Compute the power at bus 1, the line flow and line loss. V₁ = 2.520° $₁ Z12 = j0.2 Z13 = j0.5 V₂ V3 S₂ = j5 S3 = j2arrow_forwardA 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_forward
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Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning
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ISBN:9781305632134
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