The load flow data for a three-bus system is given below. Taking bus 1 as the slack bus, determine the voltages of the various buses at the end of first iteration starting with a flat voltage profile for all buses except slack bus by using Newton-Raphson method. [ Z12-0.5+j2 PQ bus, P2, Q Slack bus, Z13=3.5+j5 Z23=6.5+j7 V=1.0° To PQ bus, Ps Q

The load flow data for a three-bus system is given below. Taking bus 1 as the slack bus, determine the voltages of the various buses at the end of first iteration starting with a flat voltage profile for all buses except slack bus by using Newton-Raphson method. [ Z12-0.5+j2 PQ bus, P2, Q Slack bus, Z13=3.5+j5 Z23=6.5+j7 V=1.0° To PQ bus, Ps Q

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 6.43P

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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 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=0.5pu
A DC Optimal Power Flow problem is to be solved for a 3-bus network. The per-unit reactances of the lines interconnecting the buses are as follows: X12 = 0.1pu, X13 = 0.12 pu and X23 = 0.2 pu. There is a generator at each bus. The loads at buses 1, 2 and 3 are 150MW, 200mw, and 100MWrespectively. Bus 1 is taken as the reference bus, and SBase = 100 MVA. Which one of the below is a constraint of the DCOPF problem? Select one: O a. None of these O b. -500 0₂-1000 03 = P3 - 110 O c. 1500 0₂-500 03 = P₂ - 220 O d. 1500 0₂-500 03 = P₂ - 200 O e. -500 0₂-1000 03 = P3 - 150 O f. -1500 8₁-1000 03 = P₁ - 150
A DC Optimal Power Flow problem is to be solved for a 3-bus network. The per-unit reactances of the lines interconnecting the buses are as follows: X12 = 0.25 pu, X13 = 0.15 pu and X23 = 0.2 pu. There is a generator at each bus. The loads at buses 1, 2 and 3 are 125 MW, 300 MW and 100 MW respectively. Bus 1 is taken as the reference bus, and SBase = 100 MVA. Which one of the below is NOT a constraint of the DCOPF problem? Select one: O a. -400 02 - 666.67 03 = P, - 125 O b. None of these C. -500 02 - 1166.67 03 = P3 - 100 d. 900 02 - 500 03 = P2 - 300
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 DC Optimal Power Flow problem consists of a 3-bus network. The per-unit reactances of the lines interconnecting the buses are as follows: X₁2 = 0.35 pu, X₁3 = 0.25 pu and X23 = 0.1 pu. Bus 2 is taken as the reference bus, and SBase = 125 MVA. The power flow limit on transmission line 2-3 is 500 MW. Which one of the below is the constraint that needs be incorporated in the DCOPF problem to account for line 2-3 transmission capacity limit? Select one: O a. 03 -0.6 rad O b. 03 = -0.4 rad О с. 500 (0₁.03) 500 O d. 03 -0.5 rad О е. ņ 1000 (0₂.03) = 500 Of. None of these 27 201
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.
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
2. 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 ↓ 3
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 52
please solve for nodal stress method. (if it is possible to apply supernodes)
The figure below shows the one-line diagram of a four- bus power system. The voltages, the scheduled real power and reactive powers, and the reactances of transmission lines are marked at this one line diagram (The voltages and reactances are in PU referred to 100 MW base. The active power P2 in MW is the last three digits (from right) of your registration number (i.e for the student that has a registration number 202112396, P2 =396). [10] Starting from an estimated voltage at bus 2, bus 3, and bus 4 equals V2 (0) = 1.15<0°, V3 = 1.15 < 0°, V4 1.1< 0°. 1- Specify the type of each bus and known & unknown quantities at each bus. 2- Find the elements of the second row of the admittance matrix (i.e. [Y21 Y22 Y23 Y24]). 3- Using Gauss-Siedal fınd the voltage at bus 2 after the first iteration. 4- Using Newton-Raphson, calculate: |- The value of real power (P2), at bus 2 after the first iteration. Il- The second element in the first row of the Jacobian matrix after the first iteration. 2 P2…