6.11. In the two-bus system shown in Figure 6.24, bus 1 is a slack bus with V₁ = 1.020° pu. A load of 100 MW and 50 Mvar is taken from bus 2. The line impedance is z12 = 0.12 + j0.16 pu on a base of 100 MVA. Using Newton- Raphson method, obtain the voltage magnitude and phase angle of bus 2. Start with an initial estimate of |V₂|(0) = 1.0 pu and 52 (0) two iterations. = 0°. Perform 2 Note z12 = 0 12 + j0.16 100 MW |- 50 Mvar Perform.com Second iteration I have problem Y while solving it o V₁ = 1.040° FIGURE 6.24 One-line diagram for Problem 6.11.. m vi

6.11. In the two-bus system shown in Figure 6.24, bus 1 is a slack bus with V₁ = 1.020° pu. A load of 100 MW and 50 Mvar is taken from bus 2. The line impedance is z12 = 0.12 + j0.16 pu on a base of 100 MVA. Using Newton- Raphson method, obtain the voltage magnitude and phase angle of bus 2. Start with an initial estimate of |V₂|(0) = 1.0 pu and 52 (0) two iterations. = 0°. Perform 2 Note z12 = 0 12 + j0.16 100 MW |- 50 Mvar Perform.com Second iteration I have problem Y while solving it o V₁ = 1.040° FIGURE 6.24 One-line diagram for Problem 6.11.. m vi

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 6.32P

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6.11. In the two-bus system shown in Figure 6.24, bus 1 is a slack bus with V₁ = 1.020° pu. A load of 100 MW and 50 Mvar is taken from bus 2. The line impedance is z12 = 0.12 + j0.16 pu on a base of 100 MVA. Using Newton- Raphson method, obtain the voltage magnitude and phase angle of bus 2. Start with an initial estimate of |V₂|(0) = 1.0 pu and 8₂ (0) two iterations. 0°. Perform 2 *12 = 0 12 + j0.16 Note 100 MW -+-) 50 Myar Perform Second iteration I have problem while solving it 어 V = 1.040° FIGURE 6.24 One-line diagram for Problem 6.11.. U(¹) = 0.8 Pu ops 62 = -1.0 radion
6.11. In the two-bus system shown in Figure 6.24, bus 1 is a slack bus with V₁ = 1.040° pu. A load of 100 MW and 50 Mvar is taken from bus 2. The line impedance is z12 = 0.12 + j0.16 pu on a base of 100 MVA. Using Newton- Raphson method, obtain the voltage magnitude and phase angle of bus 2. Start with an initial estimate of |V₂|(0) 1.0 = 0°. Perform and 62 (0) pu two iterations. 2 100 MW 212 = 0 12 + j0.16 -|- 50 Mvar ot V₁ = 1.040° FIGURE 6.24
6.1. A power system network is shown in Figure 47. The generators at buses 1 and 2 are represented by their equivalent current sources with their reactances in per unit on a 100-MVA base. The lines are represented by n model where series reactances and shunt reactances are also expressed in per unit on a 100 MVA base. The loads at buses 3 and 4 are expressed in MW and Mvar. (a) Assuming a voltage magnitude of 1.0 per unit at buses 3 and 4, convert the loads to per unit impedances. Convert network impedances to admittances and obtain the bus admittance matrix by inspection. j0.25 50.25 -j4 j0.4 j0.1 j0.16 j0.2 -j4+3 4 S3 -j4 S4 FIGURE 47 One-line diagram for Problem 6.1. 100 MW +j25 Mvar 200 MW +j50 Mvar
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
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?
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
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
6.32 For a two-bus power system, a 0.7 + j0.4 per unit load at bus 2 is supplied by a generator at bus 1 through a transmission line with series impedance of 0.05 + j0.1 per unit. With bus 1 as the slack bus with a fixed per-unit voltage of 1.0/0, use the Gauss-Seidel method to calculate the voltage at bus 2 after three iterations.
For 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.
bus. The voltage magnitude and phase angle are the quantities to be determined after load fiow analysis for
Figure 6.12 shows the one-line diagram of a simple three-bus power system with generators at buses 1 and 3. The magnitude of voltage at bus 1 is adjusted to 1.05 pu. Voltage magnitude at bus 3 is fixed at 1.04 pu with a real power generation of 200 MW. A load consisting of 400 MW and 250 Mvar is taken from bus 2. Line impedances are marked in per unit on a 100 MVA base, and the line charging susceptances are neglected. Obtain the power flow solution by the Gauss-Seidel method including line flows and line losses. 1 2 0.02 + j0.04 400 MW 0.01 + j0.03 0.0125 + j0.025 250 Mvar Slack Bus 3 V = 1.0520° 200 MW | V3 = 1.04 Figure 6.12
Problem:1 The following is the system data for a load flow solution. Determine the bus voltages at the end of first iteration using Gauss-Seidel method : Take a = 1.6. The line admittances: Bus code Admittance 1-2 2-j8.0 1-3 1-j4.0 2-3 0.666–j2.664 24 1-j4.0 34 2-j8.0 The schedule of active and reactive powers: Bus code P Q V Remarks 1 1.06 Slack 1+ j0.0 1+ j0.0 1+ j0.0 2 0.5 0.2 PQ 0.4 0.3 PQ 4. 0.3 0.1 PQ