5. The zero-, positive-, and negative-sequence bus impedance matrices for a three-buspower system are given below[0.10 0.15 0.12]Zus =j 0.15 0.10 0.08%3DpuL0.12 0.08 0.35][0.16 0.10 0.15]ZBus = ZBus =j0.10 0.20 0.14 puLo.15 0.14 0.30]%3DDetermine the per unit fault current and the bus voltages during fault for(a) A bolted three-phase fault at bus 2.(b) A bolted single line-to-ground fault at bus 2.(c) A bolted line-to-line fault at bus 2.(d) A bolted double line-to-ground fault at bus 2.

“Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

5. The zero-, positive-, and negative-sequence bus impedance matrices for a three-bus power system are given below [0.10 0.15 0.12] Zu =j 0.15 0.10 0.08 pu L0.12 0.08 0.35] [0.16 0.10 0.15] ZBu = ZBus =j0.10 0.20 0.14 pu Lo.15 0.14 0.30] Bus %3D Determine the per unit fault current and the bus voltages during fault for (a) A bolted three-phase fault at bus 2. (b) A bolted single line-to-ground fault at bus 2. (c) A bolted line-to-line fault at bus 2. (d) A bolted double line-to-ground fault at bus 2.

5. The zero-, positive-, and negative-sequence bus impedance matrices for a three-bus power system are given below [0.10 0.15 0.12] Zu =j 0.15 0.10 0.08 pu L0.12 0.08 0.35] [0.16 0.10 0.15] ZBu = ZBus =j0.10 0.20 0.14 pu Lo.15 0.14 0.30] Bus %3D Determine the per unit fault current and the bus voltages during fault for (a) A bolted three-phase fault at bus 2. (b) A bolted single line-to-ground fault at bus 2. (c) A bolted line-to-line fault at bus 2. (d) A bolted double line-to-ground fault at bus 2.

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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Question

5. The zero-, positive-, and negative-sequence bus impedance matrices for a three-bus
power system are given below
[0.10 0.15 0.12]
Zus =j 0.15 0.10 0.08
%3D
pu
L0.12 0.08 0.35]
[0.16 0.10 0.15]
ZBus = ZBus =j0.10 0.20 0.14 pu
Lo.15 0.14 0.30]
%3D
Determine the per unit fault current and the bus voltages during fault for
(a) A bolted three-phase fault at bus 2.
(b) A bolted single line-to-ground fault at bus 2.
(c) A bolted line-to-line fault at bus 2.
(d) A bolted double line-to-ground fault at bus 2.

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For different types of buses/nodes in load flow analysis, explain their definitions and possible numbers in a power system.
A load flow analysis is to be performed on a four bus power system, the per unit admittance matrix of which is given below: [ (3.0- j9.0) (-2.0+ j6.0) (-1.0+ j3.0) (0.0+ jo.0) [Y]= |(-2.0+ j6.0) (3.5- j10.5) (-0.5+ j1.5) (-1.0+ j3.0) (-1.0+ j3.0) (-0.5+ jl.5) (3.5– j10.5) (-2.0+ j6.0) bus (0.0 + j0.0) (-1.0+ j3.0) (-2.0+ j6.0) (3.0- j9.0) | Bus number I is the swing bus, buses numbers 2 and 4 are load buses and bus number 3 is a generator bus. The system base is 100 MVA. a) Draw and label carefully an appropriate single line diagram of the power system, showing the actual values of both admittance and impedance. Outline how the bus admittance matrix is derived from the system single line diagram and explain the physical significance of the values of elements Y,, and Y, of Y above. bus b) If the loads at buses 2 and 4 are S, = (1.0+ j0.75) pu and S, = (0.5+ j0.3) pu. determine the value of the voltage V, at bus 2 that is produced by the first iteration of the Gauss-Seidel load flow…
Determine the bus admittance matrix, Ybus for the following system. Assume a three phase 100 MVA per unit base. 2 GEN GEN 3 Bus to Bus R (pu) 1-2 1-3 2-3 2-4 2-5 3-4 4-5 .02 .08 .06 .08 .02 .01 .03 5 X (pu) B (pu) .06 .06 .24 .05 .18 .04 .24 .05 .06 .02 .04 .01 .10 .04
The bus impedance matrix for a three-bus power system has per-unit elements as: Z11 = 0.5 Z12 = 0.4 Z13 = 0.8 Z21 = 1 Z22 = 0.5 Z23 = 0.6 Z31 = 0.5 Z32 = 1.2 Z33 = 1 Prefault voltage is 1 per unit and prefault current is neglected. A three-phase short circuit occurs at bus 3. Determine the subtransient fault current. Round your answer to 2 decimal places.
A three-bus power system has generators at buses 1 and 2 with per unit subtransient reac- tances G1X"=0.1 and G2X"=0.08. The per unit branch reactances are X12=0.05, X13=0.10, X23=0.05, with 0.0540 0.0368 0.0425 Zbus = j 0.0368 0.0506 0.0460 0.0425 0.0460 0.0782 The pre-fault voltage magnitude is 1.02 per unit and the system is unloaded. Suppose a three-phase fault occurs at bus 3. (a) Calculate the fault current I" at the faulted bus. (b) Calculate the per unit generator terminal voltages (V1, V½) during the fault. (c) Calculate the per unit line currents feeding bus 3 (I13, I23) during the fault.
Figure 9.17 shows a 3-bus system. The series impedance and shunt admittance of each line are 0.026 + j0. 11 pu and j0.04 pu respectively. The bus specification and power input, etc., at the buses is as under: Вus PG Pi Bus voltage unspecified unspecified 1.03 +j0 (Slack bus) V = 1.03 (PV bus) unspecified (PQ bus) 1 unspecified 1.0 0.5 1.5 3 1.2 0.5 For bus 2 the minimum and maximum reactive 1.5+JQG2 power limits are 0 and 0.8pu. (a) Form [Ypus] (b) Find P2°, Q2°, P3º, Q3°. (c) Find [ J°] (d). Form the general equation for calculating the changes in variables by NR method. Write the equation for first iteration. 2 PV 1 +j0.5 bus Slack bus PQ bus 3 1.2 +j0.5