The zero-, positive, and negative-sequence bus impedance matrices for a two-bus three-phase power system are -[0:0] ban. per unit Nuim 0.10 0.20 [0.200+ 0.10 per unit 0.30 The prefault voltage is 1.0 per unit. The per-unit voltage at bus 2 for a bolted line-to-line fault at bus 1 is:

The zero-, positive, and negative-sequence bus impedance matrices for a two-bus three-phase power system are -[0:0] ban. per unit Nuim 0.10 0.20 [0.200+ 0.10 per unit 0.30 The prefault voltage is 1.0 per unit. The per-unit voltage at bus 2 for a bolted line-to-line fault at bus 1 is:

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

Chapter9: Unsymmetrical Faults

Section: Chapter Questions

Problem 9.58P

See similar textbooks

Related questions

Q: 5. Find the total system response of the following state-space system: [9] for -9 0 * (t) = [³9] 5…

Q: An overhead transmission line conductor weighs 0.35 kg/m. Ultimate strength is 800 kg and factor of…

Q: Using the impedance method, find v(t) and i(t). Give a brief explanation of each step to reach the…

A: The voltage across the capacitor and the current through the circuit can be calculated by using…

Q: In spintronics, information is stored and transmitted using the 'Charge' property of electrons. True…

Q: system

Q: The current in Figure is 8.87mA +j 21.43 .Determine the source voltage and the phase angle. Also,…

Q: What is the peak output voltage for this half-wave rectifier? Express answer in Volts (primary…

Q: A 3-phase 4-pole alternator has 48 stator slots carrying the 3-phase distributed winding. Each coil…

A: Given- 3-phase, 4-pole alternator, 48 stator slots, 3-phase distributed winding, To Find- The…

Q: 2. For each of the following signals, determine whether it is periodic, and if it is, find the…

A: As per Bartleby guideline we need to answer the first three questions only. Kindly repost the rest…

Q: Calculate the minimum and maximum loop voltage gain as well as the bandwidth for the circuits below:…

A: An Ideal operational amplifier has a very high Common mode rejection ratio, Very high input…

Q: (3-20) A 5V cosine signal whose frec carrier as AM-DSB-SC. Assuming nc signal at the demodulator…

A: It is given that:- Am=5 VAc= 20 Vfm=1200 Hzfc = 30 KHzmt= 5cos2400πtct=20cos60000πt

Q: Determine the expected circuit operation of the following VHDL code (Architecture section), if it…

A: The above code has been written for a negative edge-triggered flip-flop. When the clk=1 means…

Q: If we would like to use Superposition to solve for vo in the circuit shown above, we must find the…

A: The required parameters can be calculated by obtained the DC equivalent circuit. The capacitor will…

Q: Draw a signal flow graph for the following set of algebraic equations: Y2 = ay₁ - 9Y3 Y3 ey2 + CY4…

A: In this question we need to draw signal flow graph and using signal flow graph we need to find gain

Q: Consider the following digital logic function F(A, B, C, D,E): F = A'BC + A'C + A'C'D + BD'E' +…

Q: What is the efficiency of the parallel transformers combined in percent? ( 1 decimal place)

Q: A 60 V peak full-wave rectified voltage is applied to a capacitor-input filter. If f = 49 Hz, R = 9…

A: A rectifier convert a sinosoidal signal into undirectional waveform. The half rectifier rectified…

Q: Where would these components be located in multisim

A: For This, you need to open multisim then go to place then click on component

Q: Draw a signal flow graph for the following set of algebraic equations: Y2 = ay1 - 9Y3 Y3 = ey2 + CY4…

A: It is given that: y2=ay1-gy3y3=ey2+cy4y4=by2-dy4

Q: In order to wire a post light, a homeowner purchased some single-conductor cable that was marked as…

A: The Earthing and the grounding are the methods to protect the equipment system from heavy currents…

Q: A DC-DC buck converter operates in continuous conduction mode. It has 48 V input voltage and it…

A: Given- DC-DC buck converter- Input voltage V=48 V, Resistive load R=24 Ω, Frequency f=250 Hz, Switch…

Q: 2. A four-pole shunt motor develops a 20 lb. ft. of torque when the flux per pole is 700,000…

Q: Determine the erection sag and tension of a transmission line at 65°C in still air. The line has a…

A: Length of the conductor, l = 300mModulus of elasticity , E = 9320 kg/mm2Coefficient of linear…

Q: Before firing, the voltage from anode to the cathode is a. OV If the gate is made on. a. Negative…

A: these are the questions on basic properties of a SCR

Q: Q.3) An ideal boost converter is required to have a constant output voltage of 12 V at 24 W load.…

A: Given data: The voltage, Voutput=12 V The power load, Pload=24 W The frequency,f=100 kHz The…

Q: QUESTION 3 120/0° mA Xe не EF RI R2 XI a b For the circuit shown above, what is the magnitude of the…

Q: A resistor is connected to a 3.0 V battery; the power dissipated in the resistor is 1.0 W. If the…

A: Given data, Supply voltage V = 3 V. Power dissipated P = 1 W.

Q: 23. What is the current / in the circuit as shown in figure: (A) 2 A (C) IA 3v www (B) 1.2 A (D) 0.5…

A: Given data, Circuit diagram is given as,

Q: In any channel-based communication system, what is the total capacity of a single channel; is it:…

Q: 5. In a superheterodyne receiver, a varactor diode: a) is placed in series with the tank inductor…

A: Given: Superheterodyne receiver and a varactor diode. To do: we have to select right option from the…

Q: Referring to figure shown below, determine the following using Nodal Method: (use a reference node…

Q: 1. Consider the state diagram shown on the right. a. b. 0/0 1/0 1/0 B 0/0 0/0 1/1 с Give a state…

Q: Suppose a PMOS transistor must conduct a cur- rent ID = 0.5 A with VSD ≤ 0.1 V when it is on. What…

A: Given data, ID=0.5 AVDS≤0.1 VVG=0 VVS=10 VVTP=-2 V

Q: Three Phase Induction Motors Example 9.14. The 3-phase ind of 50 V between the slip rings at stan…

Q: The voltage across and the current through a load are expressed as follows v(t)=-170 sin (377 t-V…

A: We need to find out the power for given current and voltage .

Q: A PCM communication system has 4 codewords: 00, 01, 10, 11; the first two are for positive voltages,…

A: Given: 4 code words are 00, 01, 10, 11 for a PCM system. The first two are for positive voltages…

Q: Consider the transfer function below: F(s) = (6s^2 + 1)/(s^3 + 3s^2 + 3s…

A: Method to write transfer function in Matlab code Let TF =as2+bs+cds3+es2+fs+g Code TF=tf([a b c],[d…

Q: Design (only the block diagram) an Armstrong indirect FM modula- tor to generate an FM carrier with…

Q: Consider the amplifier shown below. Transconductance of M₁ is gm and there is no channel-length…

Q: What is wrong with this circuit? -V₁ 24 V R₁10 kn D₁1N4744A 1 15 V nothing O The zener is shorted. O…

A: Modes of Operation Of Zener Diode Forward Biased Mode Reverse Biased Mode Zener Breakdown Mode

Q: Find the Torque equation for the Dc drive thyristor ?

A: In this question we need to find the Torque equation for the Dc drive thyristor .

Q: What resistance is present in the tuned circuit that limits the gain and quality factor of the…

A: Q=XLRVG=βZcZin where Q- quality factor XL-Inductive reactanceR-Inductive resistanceZc-effective…

Q: 2. Find the phase angle between ₁-4 sin(377t + 55°) Does i, lead or lag i₂? and 1₂=5 cos(3771-65°)

A: We need to find out the phase angle for given currents .

Q: Determine vo(t) in the circuit 60 92 ww 20 cos (4t-15°) (+1) 10 mF 5 H

A: The circuit diagram is shown below,

Q: Q1. An FM transmitter has the block diagram shown in Figure Q1. The audio frequency response is…

A: Given: Range of audio frequency is 20 Hz-20 kHz. The carrier frequency is 90.7 MHz and the peak…

Q: Q/A current of 0.5 A flow through germanium strip with length of 4 mm and rectangular cross-section…

A: It is given that:- i = 0.5 A l = 4 mm = 4×10-3 m A = 1×5 cm2 = 5×10-4 m2 ρ = 4 ohm-cm = 4×10-2…

Q: Part C: Determine the range of V for obtaining a regulated voltage shown in Fig.4 for the data 0≤…

Q: Which option is correct? The bandwidth of an AM signal is given by a) BW = 2fm b) BW = 1/2fm…

A: In this question we need to choose a correct option

Q: Consider the combinational circuit shown in Fig. 3.1.4. i) Derive the Boolean expressions for T₁…

A: The given problem is from digital electronics. The detailed solution is given in the next step

Q: AT LEAST 20 EXAMPLES OF APPLIANCES THAT MOSTLY USED ELECTRICITY IN THE FOLLOWING : (EX. LIGHT BULB,…

A: It is given that: POLICE STATION FIRE STATION CAFE THEATER AMUSEMENT PARK GAS STATION MUNICIPAL HALL…

Concept explainers

Fault Analysis

In an electrical engineering system, a fault is an abnormal electric current flowing through the system, and fault analysis is the study of these faults. For instance, a short-circuit is a fault where the live wire touches the ground or neutral wire. If a circuit is interrupted by a failure of a current-carrying wire then an open circuit fault occurs. The open-circuit faults are also called series faults. One or more phases or ground may be involved in a three-phase fault or may occur only between two phases. Current flows into the earth in case of a ground fault or earth fault. For most situations, the prospective short circuit current of a fault that is predictable can be calculated. To limit the loss of service because of a failure, the protective devices can detect fault conditions and operate circuit breakers and also other devices. All phases equally can be affected in a poly-phase system which is known as symmetric electrical fault. The asymmetric fault becomes more complicated to analyze if only some phases are affected. By using methods such as symmetrical components, the power system analysis of these types of faults is often simplified. The main objective of power system protection is to design, detect, and interrupt power system faults.

Question

The zero-, positive, and negative-sequence bus impedance matrices for a two-bus
three-phase power system are
--[0.10.0
Name=
Z1-Zoom 2 =
per unit
0.20
1- +
0.10
0.10
0.30
per unit
The prefault voltage is 1.0 per unit. The per-unit voltage at bus 2 for a bolted line-to-line fault at
bus 1 is:
Select one:
a. V2ag-110, V2bg-0.661139.1, V2cg-0.661-139.1.
O b. V2ag- 110, V2bg-0.661-139.1, V2cg-0.66139.1",
c. None
d. Vzag-11139.1, V2bg-0.66139.1, V2cg-0.6610

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Equipment ratings for the four-bus power system shown in Figure 7.14 are as follows: Generator G1: 500 MVA, 13.8 kV, X=0.20 per unit Generator G2: 750 MVA, 18 kV, X=0.18 per unit Generator G3: 1000 MVA, 20 kV, X=0.17 per unit Transformer T1: 500 MVA, 13.8/500YkV,X=0.12 per unit Transformer T2: 750 MVA, 18/500YkV,X=0.10 per unit Transformer T3: 1000Â MVA, 20/500YkV,X=0.10 per unit A three-phase short circuit occurs at bus 1, where the prefault voltage is 525 kV. Prefault load current is neglected. Draw the positive-sequence reactance diagram in per unit on a 1000-MVA, 20-kV base in the zone of generator G3. Determine (a) the ThĂ©venin reactance in per unit at the fault, (b) the subtransient fault current in per unit and in kA rms, and (c) contributions to the fault current from generator G1 and from line 1-2.
Equipment ratings for the five-bus power system shown in Figure 7.15 are as follows: Generator G1:Â Â Â Â 50Â MVA,Â 12kV,Â X=0.2 per unit Generator G2: 100Â MVA, 15 kV, X=0.2 per unit Transformer T1: 50 MVA, 10 kV Y/138kVY,X=0.10 per unit Transformer T2: 100 MVA, 15 kV /138kVY,X=0.10 per unit Each 138-kV line: X1=40 A three-phase short circuit occurs at bus 5, where the prefault voltage is 15 kV. Prefault load current is neglected. (a) Draw the positive-sequence reactance diagram in unit on a 100-MVA, 15-kV base in the zone of generator G2. Determine (b) the ThĂ©venin equivalent at the fault, (c) the subtransient fault current in per unit and in kA rms, and (d) contributions to the fault from generator G2 and from transformer T2.
The one line diagram of a simple 3-bus power system shown below. All impedances are expresses in per unit on a common base. A three phase fault occurs at bus 3 through a fault impedance Z =j 0.19 pu, calculate the per unit fault current. A. 1.5 p.u. B.2.5 p.u. G₁ j 0.05 j0.75 j 0.3 3 C. 5.0 p.u. D. 3.0 p.u. G₂ j 0.075 j0.45 2
Consider the system shown in the single-line diagram of Figure (3). All reactances are shown in per unit to the same base. Assume that the voltage at both sources is 1 p.u. a Find the fault current due to a bolted- three-phase short circuit at bus 3 b- Find the fault current supplied by each generator and the voltage at each of the buses 1 and 2 under fault conditions 0.06 p.u. 0.2 p.u. 0.04 p.u. 0.25 p.u. 0.2 p.u. 0.2 p.. 0.2 p.u. 0.06 p.u. 0.25 p.u. Figure (3) Single-line diagram ele ver ele 888 ele 0.06 p.u. 0.25 p.u.
In a 7-bus system, the double line fault is occurred at bus -5. During fault the positive sequence potential difference between the bus-4 and bus-1is found to be 0.0175. what is the line impedance which is connected between bus-4 and bus-1 if the current flowing through transmission line is -j 0.148? Select one: O a. -jo.182 O b. +j0.1182 O c. -jo.1182 O d. +j0.182
Q2/The positive-sequence reactances for the power system shown in Figure 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 phases b and c at bus 2. Before the fault occurrence, all bus voltages are 1.0 per unit. Obtain the positive sequence bus impedance matrix. Find the fault current, the three-phase bus voltages during fault, and the line currents in each phase. T₁ 1 0.15 उह 3 X=j0.05 G₁ j0.6 j0.3 2 T2 j0.05 X=j0.05 G₂
Q1/ for the four-bus power system shown in figure 1, the positive, negative and zero sequence impedances of generators and transformers are listed in table 1. The impedances of transmission lines are indicated on the figure in per unit. Assuming the Sb=200MVA, and Vb=11kV. Find the fault and generators currents when: Line to line fault occurs in bus 3. 2. Line to ground fault occurs in bus 4 through impedance of j0.1 py. 1. (2) S-100+j70 T1 1) j0.21 T2 小小 G2 j0.1 j0.22 j0.13 3) S=90+j30 T3 G3 S-160+j110 j0.18 j0.1 X' X" x° G1 0.2 0.2 0.04 G2 0.15 0.2 0.05 G3 0.25 0.25 0.07 T1 0.05 0.05 0.05 T2 0.04 0.04 0.04 T3 0.043 0.043 0.043
Q1. Given Zo = 0.3L60°, Z¡ = 0.17L80° and, Z2 = 0.45L120°. Compute the fault current and voltages for a Double Line-to-Ground Fault. Note that the sequence impedances are in per- unit. This means that the solution for current and voltage will be in per-unit. [1] Note: Formulas for the reference For Double line to ground fault the positive, negative and zero sequence circuits are connected in parallel The sequence networks are interconnected, as shown in Fig. 8.9 Zo To Because the sequence currents sum to one node, it follows that Vo I, =-(I, +1,) The current I, is the voltage drop across Z, in series with the parallel combination of Z, and V, I = Z, + Z, +Z, V2 Fig 8.9
Figure shows a sample power system network and Zpus Matrix elements. For a solid three phase fault take place at bus 3. Determine a) Fault current (b) V1 , V21 and Var (c) Post fault current in lines 1-2 and 1-3. The line from bus 1-2 impedance =j1.2p.u The line from bus 2-3 impedance =j0.16p.u The line from bus 3-1 impedance =j1.37p.u The Zbus matrix element values are Zbus Matrix Z13 = 0.4; Zbus Matrix Z23 =1.01; Zbus Matrix Z33 =1.55; Fault Post fault voltage at bus 1 (V1) in p.u Post fault voltage at bus 2 (V21 ) in p.u Post fault voltage at bus 3 (V31 ) in p.u Post fault current( I12) in line between 1-2 in p.u Post fault current (I13) in line between 1-3 in p.u
Problem 5 Consider the system shown in the single-line diagram of Figure (3). All reactances are shown in per unit to the same base. Assume that the voltage at both sources is 1 p.u. a- Find the fault current due to a bolted- three-phase short circuit at bus 3. b- Find the fault current supplied by each generator and the voltage at each of the buses I and 2 under fault conditions. 0.04 p.u. 0.2 p.u. 0.06 p.u. 0.2 p.u. 0.25 p.u. G, 0.2 p.u. 0.2 p.u. 0.06 p.u. 0.06 р.и. 3 0.25 p.u. 0.25 p.u. G, Figure (3) Single-line diagram for Problem 5 ele
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
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.