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 6.11MCQ
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Two synchronous machines are connected as shown in Figure 1. All values in the diagram are in
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Following 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 δ2, power flows and line losses by using Fast decoupled power flow method.
All the values are given in per unit on 100MVA base. Use a tolerance of 0.001 for power mismatch.
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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- 1. 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_forwardThe _________ model has the advantage that the parameters are defined by the actual operating conditions. a.re b.hybrid-pi c.pi d.hybridarrow_forward4. The fuel-cost functions in $/h for three thermal plants are given by F = 500 + 5.3P + 0.004P? F2 = 400 + 5.5P, + 0.006P? F = 200 + 5.8P, + 0.009P? where P,, P2, and P3 are in MW. The total load is 800 MW. Neglecting line losses and generator limits, find the optimal dispatch and the total cost in $/harrow_forward
- "In paralleling operation, the generator with the least droop took a greater share of the increase in bus load " True Falsearrow_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_forward1.6 Problem A simple four-bus system gives the line admittances identified by the buses on which these terminates. The shunt admittance at all the buses is assumed negligible. Line (bus to bus) G. pu B, pu 1-2 2.0 - 6.0 1-3 1.0 - 3.0 ACTIVITY 3: LOAD FLOW ANALYSIS: GAUISS-SEIDEL ITERATIVE 2 2-3 0.67 -2.0 2-4 1.0 - 3.0 3-4 2.0 - 6.0 For the system given, the generators are connected at all the four buses, while loads are at buses 2 and 3. Values of real and reactive powers are listed in table below. All buses other than the slack are PQ type. Assuming a flat voltage start, find the voltages and bus angles at the three buses at the end of fourth Gauss-Seidel iteration. Bus P, pu Q. pu Vi, pu Remarks 1.0420° Slack bus 2 0.5 - 0.2 PQ bus 3 -1.0 0.5 PO bus 0.3 -0.1 PQ bus Solution:arrow_forward
- Q#2: Demonstrate the open and short circuit test on synchronous machine with the help of circuit diagram. Also discuss that why we need of this test? Solution#2 (to be typed here by the student)arrow_forwardQ5 (a) State assumptions to represent the multimachine equations with a single machine infinite bus system.arrow_forwardThe figure below shows the one-line diagram of a simple three-bus power system withgeneration at bus 1. The voltage at bus 1 is V1 = 1.0∠0°per unit. The scheduledloads on buses 2 and 3 are marked on the diagram. Line impedances are marked inper unit on a 100 MVA base.(a) Using Gauss-Seidel method and initial estimates of ?2(0) = 1.0 + ?0, ?3(0) = 1.0 + ?0, determine V2and V3. Perform two iterations.(b) If after several iterations the bus voltages converge to?2 = 0.90 − ?0.10 pu?3 = 0.95 − ?0.05 pudetermine the line flows and line losses and the slack bus real and reactive power.arrow_forward
- Choose which answers are correct Which of the following is a way to find the order in which generators are brought to the synchronous bus? a. economic load dispatch b. Lambda iteration C. Equal incremental cost rule d. brut force techniquearrow_forwardDiscuss the advantages and limitations of Gauss-Seidal and Newton Raphson methods . Of this two, which method is generally preferred for solving the load flow problems?arrow_forwardQUESTION 3 The power system network is shown in Figure 3. The magnitude of voltage at bus 1 is adjusted to 12 0° per unit, buses 2 and 3 are the load buses. Line impedances are marked in per-unit on 100 MVA base and the charging susceptances are neglected. Determine the bus voltage at load 2 and 3 using the Gauss-Seidel iteration method (accurate to four decimal places). Perform calculation for two iterations. jo.033 P= 400 Mw HQu= 320 MVar Vi = 120° Figure 3 10.05 +P= 300 MW 70.0125 +QF 270 MVararrow_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
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:Cengage Learning