A three-phase fault with a fault impedance Zf = j0.16 per unit occurs at bus 3 in the Figure beside, Using the bus impedance matrix method, the bus impedance matrix for this system j0.16 j0.08 j0.12 Zus =| j0.08 j0.24 j0.16 j0.12 j0.16 jo.34 ー5 -j1.25 ー2.5) ープ2.5 Vah = Va (0) I3(F) X Z, = j0.16 The fault current in p.u is: Answer:

A three-phase fault with a fault impedance Zf = j0.16 per unit occurs at bus 3 in the Figure beside, Using the bus impedance matrix method, the bus impedance matrix for this system j0.16 j0.08 j0.12 Zus =| j0.08 j0.24 j0.16 j0.12 j0.16 jo.34 ー5 -j1.25 ー2.5) ープ2.5 Vah = Va (0) I3(F) X Z, = j0.16 The fault current in p.u is: Answer:

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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Suppose V-1.00°p.u., z = jo.50 p.u., z - z) - j0.25 p.u.; draw a sequence network connection in case of bolted (phase) line-to-line (phase) fault. Determine the fault current and the bus voltage at the fault point.
Q6: A five-bus network has generators at buses 1 and 3 rated 270 and 225 MVA, respectively. The generator sub-transient reactances plus the reactances of the transformers connecting them to the buses are each 0.3 pu on the generator rating as base. The turns ratios of the transformers are such that the voltage base in each generator circuit is equal to the voltage rating of the generator. Line impedances in pu on a 100 MVA system base are shown in Fig. below. All resistances are neglected. Using the bus impedance matrix for the network which includes the generator and transformer reactances, find the sub-transient current in a three phase fault at bus 4 and the current coming to the faulted bus over each line. Prefault current is to be neglected and all voltages are assumed to be 1 pu before the fault occurs. 3 j0.126 1.0/0 j0.1333 ll 1.0/0 j0.168 ll ell j0.210 ll j0.252 4 j0.336 ll j0.1111 lill j0.126 all ll
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A three-phase synchronous generator produces 10 MVA power under a rated voltage of 10 kV. Zero sequence component reactance of this generator is given as X0 = j0.1 pu, positive sequence component reactance X1 = j0.1 pu and negative sequence component reactance X2 = j0.1 pu, and the star point of this generator is given as Xn = j1 Ω grounded. a) Calculate the real value of the fault current that will occur in the three-phase short circuit fault at the output of this generator. (The actual value of the fault current will be calculated and entered AS INTENT (such as 3550. Values entered as per unit will not be accepted.) b) Calculate the real value of the fault current that will occur in the case of single phase-ground short circuit fault at the output terminal ends of this generator. (The actual value of the fault current will be calculated and INTENT (such as 3550) will be entered. Values entered as per unit will not be accepted.) c) Calculate the real value of the fault current…
Figure below shows the single-line diagram of three-bus power system with generation at bus 1 and bus 3. The voltage at bus 1 is V₁ = 1.025/0° per unit. The voltage magnitude at bus 3 is fixed at 1.05 per unit with a real power generation of 250 MW. The scheduled load on bus 2 is marked on the diagram. Line impedances are marked in per unit on a 100 MVA base. Line resistances and line charging susceptances are neglected. By using Gauss-Seidel method and initial estimates of V₂(0) = 1.020° and V3(0) = 1.0520°, determine V₂ and V3. Perform calculation for one iteration. V₁ = 1.025/0° j0.1 Slack Bus j0.2 j0.4 j0.2 3 j0.1 250 MW 150 Mvar |V3|=1.05 P3 = 250 MW
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
At a 220 kV substation of apowersystem, it is given that the three-phase fault level is 4000 MVA and single-line toground fault level is 5000 MVA. Neglecting the resistance and the shunt susceptances ofthe system The positive sequence driving pointeactance at the bus is:
The positive sequence reactance for the power system shown in Figure below are in per unit on a common MVA base. Resistances are neglected and the negative sequence impedances are assumed to be the same as the positive sequence impedances. A bolted line to line fault occurs between phase 'b' and phase 'c' at bus 2. Before the fault occurrence, all bus voltages are 1.0 per unit. (i) Obtain the positive sequence bus impedance matrix. (ii) Find the fault current, the three phase bus voltages during fault at all the buses. (iii) Find the three phase currents through the transformer T1 during the fault. 2 3 XL1 X= j0.05 (G1 X= j0.05 G2 XT1 XT2 XL2 4 XT1 XL1 X12 XT2 jo.15 jo.25 jo.5 jo.15
A single-line diagram of a four-bus system is shown in Figure 3: BUS 3 b- Assume that: 0.25 /0,25 ww m 10.1 j0.2 Zbus- j* Let a three-phase fault occur at bus 2 of the network. a- Determine Ybus of this system. BUS 2 0.125 BUS 1 10.2 j0,4 (ground is the reference node) Figure 3: Four-bus system. BUS 4 www m 10.1 0.2437 0.1939 0.1545 0.1457 0.1939 0.2295 0.1495 0.1507 0.1545 0.1495 0.1956 0.1046 0.1457 0.1507 0.1046 0.1955 10.2 c- Using Zbus, calculate the initial symmetrical RMS current in the fault, Assume the prefault voltage Vf at bus 2 to be 10°, and neglect all prefault currents. d- Determine the voltages during the fault at buses 1, 3, and 4. e- Compute the fault currents contributed to bus 2 by the adjacent unfaulted buses 1, 3, and 4. f Find the current flow in the line from bus 3 to bus 1.
At a 220 kV substation of apowersystem, it is given that the three-phase fault level is 4000 MVA and single-line toground fault level is 5000 MVA. Neglecting the resistance and the shunt susceptances ofthe system The positive sequence driving pointeactance at the bus is:
Given Zo = 0.199290° pu, Z, = 0.175/90° pu, Z₂ = 0.175290° pu, compute the fault current and voltages for a Single line-to-ground fault. Note that the sequence impedances are in per-unit. This means that the results for current and voltage will be in per-unit.
Most buses in a typical power-flow program are a.voltage controlled bus b.PQ bus c.PV bus d.Slack bus 2-The power-flow problem is the computation of voltage magnitude and phase angle at each bus in a power system under balanced three-phase steady-state conditions. False True 3-The following sequence currents were recorded in a power system under a fault condition Ipositive=j1.5pu, Inegative=–j0pu, Izero=– j0pu. The fault is a.Three-phase b.Double Line to ground c.Line to ground d.Line to line 4- he following sequence currents were recorded in a power system under a fault condition Ipositive=j1.5pu, Inegative=j0pu, Izero=j0pu. The fault is a.Three-phase b.Double Line to ground c.Line to ground d.Line to line i uploded the houndots (book )here :https://seomidea.com/hct/nu.pdf