Please solve in detail to understand Problem 3:Ch5: Distant ProtectionConsider the three phase system 'abc-g' represented by the one-line diagram below. The systemnominal voltage is 120 V, and the positive sequence impedances are as shown in the figure.Suppose a bolted phase-to-phase fault between phases 'b' and 'c' has occurred at the end of theline at 'F'. Assume that the maximum load in the line is 100 kVA.120 V어R1j.6R3R2j.6R4R5j.3Phase to Phase FaultCurrent:IFVFZ₁ + Z₂1. Determine the fault current in all three phases Ia, Ib, Ic.2. Determine the phase voltages Ea, Eb, Ec at the relay location (Rs).3. Determine the fault impedance ZF seen by the relay.4. For this same b-c fault, determine the impedance seen by the relay a-b.5. Determine the impedance ratio (Zsec/Zprim).6. Determine the zone 1 and zone 2 settings for this line? Can these settings be achieved if theavailable distance relay has zone 1 and zone 2 settings up to 100 2.

Answered: Image /qna-images/answer/c4d73dd2-7464-429a-a855-d559eba44df7.jpg

Answered: Problem 3: Ch5: Distant Protection…

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

Chapter8: Symmetrical Components

Section: Chapter Questions

Problem 8.5MCQ

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8
At a certain point of the system network the positive, negative and zero sequence impedances are 0.25, 0.25, 0.3 p.u. respectively. The base MVA is 100. The voltage level at that point is 34.5 kV. Determine the fault current for a line to ground fault. A 6275 A B. 8132 A C. 7516 A D. 2091 A
Determine the positive- and negative-sequence phase shifts for the three- phase transformers shown in Figure 3.36.
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.
Consider the single-Line diagram of a power system shown in Figure 3.42 with equipment ratings given: Generator G1: 50MVA,13.2kV,x=0.15p.u. Generator G2: 20MVA,13.8kV,x=0.15p.u. Three-phase -Y transformer T1: 80MVA,13.2/165YkV,X=0.1p.u. Three-phase Y- transformer T2: 40MVA,165Y/13.8kV,X=0.1p.u. Load: 40MVA,0.8PFlagging,operatingat150kV Choose a base of 100 MVA for the system and 132-kV base in the transmission-line circuit. Let the load be modeled as a parallel combination of resistance and inductance. Neglect transformer phase shifts. Draw a per-phase equivalent circuit of the system showing all impedances in per unit.
Consider a single-phase electric system shown in Figure 3.33. Transformers are rated as follows: XY15MVA,13.8/138kV, leakage reactance 10 YZ15MVA,138/69kV, leakage reactance 8 With the base in circuit Y chosen as 15MVA,138kV determine the per-unit impedance of the 500 resistive load in circuit Z, referred to circuits Z, Y, and X. Neglecting magnetizing currents, transformer resistances, and line impedances, draw the impedance diagram in per unit.
For large power transformers rated more than 500 kVA, the winding resistances, which are small compared with the leakage reactances, can often be neglected. (a) True (b) False
11. For the single line diagram shown below, using base power of 20 MVA. i. Determine the fault power and fault current for fault occurring at point F 33 kV F G1 20 MVA 20 MVA 11 kV cable 10 MVA х-0.2 р.u. X-0.1 р.u. X=0.07N/phase X=0.1 p.u. (G1) 15 MVA 15 MVA X-0.2 р.u. X-0.1 р.u.
X=2 Y=8
Q5 The single-line diagram of a three-phase power system is shown in Figure Q5a, with equipment ratings given in Table Q5a. (a) (b) G₁ G₂ G3 G4 T₁ T₂ T3 TA Draw the zero, positive and negative-sequence reactance diagrams using 1000 MVA, 765 kV base in the zone of Line 1-2, neglect the (A-Y) transformer phase shifts. Calculate the short circuit current as a result of three-phase bolted fault occurred at bus 1. Line 1-2 Line 1-3 Line 2-3 bus 1 0 Υ ΔΥ Line 1-3 Line 1-2 G₂ Line 2-3 bus 2 Da Figure 05a bus 3 Table Q5a T₂ KEY YE my 1000 MVA, 15 kV, X₁-X₂-0.18 p.u., Xo = 0.07, p.u. 1000 MVA, 15 kV, X₁-X₂-0.20 p.u., Xo = 0.10, p.u. 500 MVA, 13.8 kV, X₁-X₂-0.15 p.u., Xo = 0.05, p.u. X₂ = 0.05 p.u. 750 MVA, 13.8 kV, X₁-0.3 p.u., X₂-0.4 p.u., Xo = 0.1, p.u. 1000 MVA, 15 kV (A) / 765 kV (Y), XTI = 0.10 p.u. 1000 MVA, 15 kV (A)/ 765 kV (Y), XT2 = 0.10 p.u. 500MVA, 15 kV (Y) / 765 kV (Y), XT3 = 0.12 p.u. 750 MVA, 15 kV (Y)/765 kV (Y), XT4 = 0.11 p.u. Χ = 50 Ω, X = 150 Ω. Χ = 40 Ω, Χρ = 100 Ω. Χρ= 40…
Three zones of a single-phase circuit are identified in Figure. The zones are connected bytransformers T1 and T2, whose ratings are also shown.Using base values of 30 kVA and 240 volts in zone 1:a. draw the per-unit circuit and determine the per-unit impedances and the per-unitsource voltage.b. calculate the load current both in per-unit and in amperes. Transformer windingresistances and shunt admittance branches are neglected.
Determine the short-circuit current ISC3,0.4kV for a 3-phase short- circuit fault at F. Give your answer up to 2 decimal in kA but do not enter the unit in your answer. Transformer T1 Transformer T2 Cable C1 Isc3,6.6kV Isc3.0.4kV O + j0.150 F 1 MVA 2 MVA 22/6.6kV 25 MVA fault level 6.6 kV/400V Z=3% 6.6 kV switchboard 400 V switchboard

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