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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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
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
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
In the following network, the voltage magnitudes at all buses are equal to 1 p.u., the voltage phase angles are very small, and the line resistances are negligible. All the line reactances are equal to j1 p.u. (1) (2. P₂ = 0.1 p.u. P3 = 0.2 p.u. The voltage phase angle 83 in radian at bus 3 is (Assume one of the generator bus as slack bus and sin-¹ (0.1) = 0.1 rad) (a) -0.1 (b) -0.2 (c) 0.1 (d) 0
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?
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.
Power system
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)
Write any four methods of voltage control and Draw the basic block diagram of AC – DC transmission system. and A transmission line has a span of length 250 m and the weight of the conductor per metrelength is 0.63 Kg. The tension in the conductor is 1250 Kg. Calculate the sag and heightabove the ground at which the conductor should be supported. Consider the groundclearance required is 13m
In the power system network shown in Figurebelowbus 1 is a slack bus with V = 1.020° per unit and bus 2 is a load bus with S2 300 MW + 80 Mvar. The line impedance on a base of 100 MVA is Z = 0.01 + j0.02 per %3D unit. (a) Using Gauss-Seidel method, determine V. Use an initial estimate of = 1.0 + j0.0 and perform two iterations. i.e.Deternine(a)V2 and (b)V½? Z12 = 0.01+ j0.0 2 2 S2 300 MW+80 Mvar (a) 0.954 - j0.052 (b) 0.949 - j0.0517 (a) 0.914 - j0.0152 (b) 0.949 - j0.0517 (a) 0.945 - j0.025 (b) 0.994- j0.0571 (a) 0.965 - j0.0255 (b) 0.914 - j0.0529

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