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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P2= -5
Q2 =-0.5
P3= -3
Q2 =-0.6
P2,Q2 in pu -9, -0.5
P3, Q3 in pu -2, -0.6
Please write down the formulation of the DCOPF problem for the 4-bus system provided in the first figure. I have provided an example of the formulation in Figure 2. Hope that helps
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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- Solve numerical : 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.arrow_forwardTwo synchronous machines are connected as shown in Figure 1. All values in the diagram are in per unit on a common system base. If the inputs and outputs to the two machines are represented by ?1? , ?1? , ?2? ,and ?2? respectively, derive expressions for input and output power for the equivalent machine. If ?1 = 4.5 ??/??? and ?2 = 6.0 ??/???, calculate the inertia constant, input power, and the maximum power of the equivalent machine. Assume ?1? = 1.25 ?? , ?2? = 1.1 ??. Write the swing equation of the equivalent machine.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_forward
- 4. 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_forwardThe _________ model has the advantage that the parameters are defined by the actual operating conditions. a.re b.hybrid-pi c.pi d.hybridarrow_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
- 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 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_forwardQ5 (a) State assumptions to represent the multimachine equations with a single machine infinite bus system.arrow_forward"In paralleling operation, the generator with the least droop took a greater share of the increase in bus load " True Falsearrow_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_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_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_forward
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