1.FIGURE 52 shows the one-line diagram of a simple three-bus power system withgeneration at bus I. The voltage at bus l is V1 = 1.0L0° 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. For the purpose of hand calculations, line resistancesand line charging susceptances are neglecteda) Using Gauss-Seidel method and initial estimates of Va0)-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 toV20.90-j0.10 pu0.95-70.05 pudetermine the line flows and line losses and the slack bus real and reactive power.2400 MW320 MvarSlack0.01250.05300 MW270 MvarFIGURE 52

Convert the line impedances into admittances, using Y=1/Z

Answered: 1. FIGURE 52 shows the one-line diagram…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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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
Q2\ The one-line diagram of a simple power system is shown in figure below. All impedances are expressed in per unit (pu) on a common MVA base. All resistances and shunt capacitances are neglected. The generators are operating on no load at their rated voltage. A three-phase fault occurs at bus 1 through a fault impedance of Zf = j0.08 per unit. Using Thevenin's theorem obtain the impedance to the point of fault and the fault current in per unit. Determine the bus voltages and line currents of generators during fault. X₁ = = 0.1 XT-0.1 3 1 to ojo XL=0.2 2 040 X₁ = 0.1
The per unit impedance of s circuit element of 0.15. If the base kV and base MVA are halved, then the new value of the per unit impedance of the circuit element wii be ?
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
The 6-bus power system network of an electric utility company is shown in the Figure below. The line and transformer data containing the subtransient series resistance and reactance in per unit, and one-half of the total capacitance in per unit susceptance on a 100-MVA base, is tabulated below. The prefault voltage profile of the power system as obtained from four iterations of the newton Raphson power flow method are provided below as well.
3. Which one of the following method uses weak coupling between reactive power and voltage angle?. A. Newton - Raphson Method B. Decoupled Method C. Gauss-Seidal Method
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
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.
For the system shown in figure, voltages V2, V3 and angles 82, 83 are calculated using Newton-Raphson method. shunt line charging admittances are neglected. All the values are given in per unit on 100MVA base. Calculate the complex power flows S12 and S32 in actual units. 1) Z12 = 0.01+ j0.02 Z3 = 0.02+ j0.04 PL G QL Slack bus V2 = 0.96L -1.67° V3 = 0.884 - 5.48° Vi=1.0/0° (estimated time to answer this question: 13 minutes)
In the Transmission Line Simulator, the Transmission Line is composed of which parameter/s? O A. The Shunt Conductance Only O B. The Series Impedance and Shunt Capacitance O C. The Shunt Capacitance Only O D. The Series Impedance Only
The single line diagram of a power system is shown in Figure Q2.1 including generator and transformer winding connection and earthing details. The parameters for this system have been calculated on a common 100 MVA base and are given in Table Q2.1. All resistances and shunt susceptances are neglected. This system experiences a single line to ground fault at a point F on line L1. The point F is at a distance d from Bus 4 along the line L1. The total length ?? of the line L1 is 50 km. Note that the location of ?? is not drawn to scale in Figure Q2.1. The fault current at the fault point F is measured to be 6.106 kA. i) Determine the zero, positive, and negative sequence Thevenin equivalent impedances as seen at the fault point F. These should be evaluated in per unit and shown as a function of d.ii) Use the sequence impedances calculated in part (i) to determine the distance d of the fault (in km) from Bus 4.

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