Test: Power Systems- 7
10 Questions MCQ Test GATE Electrical Engineering (EE) 2023 Mock Test Series | Test: Power Systems- 7
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Determine the fault current in a system following a double line to ground short circuit at the terminals of a star connected synchronous generator operating initially on an open circuit voltage of 1.0 pu. The positive, negative and zero sequences reactance of the generator are, respectively j 0.35, j 0.25 and j 0.20 and the star point is isolated from ground.
Since the star point is isolated from ground LLG fault is just like LL fault.
A 50 Hz overhead Line has Line to each capacitance of 2 μF. It is decided to use an earth fault neutralizer. The reactance to neutralizer. The reactance to neutralize the capacitance of 80% of the length of the line is – (in ohms)
A positive, negative and zero sequence impedance of 3ϕ generator are Z1, Z2 and Z0 respectively. For a line to line fault with fault impedance ZF, the fault current is IF1 = KIF. Where IF is the fault current with zero fault impedance. The relation between ZF and K is
A three phase 15 MVA, 13 kV alternator has an initial reactance of 5%. The series reactor needed to restrict the short circuit current of the alternator to 10 times of full load current is _____ (in Ω).
Short circuit current ISC = 
A 2 MVA, 3.3 kV, three-phase generator as the following reactance’s on its own base:
+ve sequence reactance, x1 = j0.10 p.u.
-ve sequence reactance, x2 = j0.10 p.u.
Zero sequence reactance, x0 = j0.05 p.u.
Reactance from neutral to ground, xn = j0.05 p.u.
The generator supplies a 3-phase, 1.5 MVA balanced passive load through a 3-phase, 2.0 MVA, 3.3 kV/400 V, delta-star transform with leakage reactance of 10%, as shown in the figure. A single-line-to-ground fault takes place at the low voltage side of the transformer. The current flowing from the transformer to the fault is (Assume base MVA is 1.5 MVA)
The generator supplies a 3-phase, 1.5 MVA balanced passive load.
so, the system works under a base load of 1.5 MVA
The generator reactance on a base load of 1.5 MVA are as follows.
+ve sequence reactance x1 
-ve sequence reactance x2 = 
zero sequence reactance x0 = 
Reactance form neutral to ground xn = 
leakage reactance of transformer xT = 
= j0.075 pu
Positive sequence network for the above system is,
X1eq = x1 + xT
= j0.075 + j0.075
= j0.15 pu
Negative sequence network for above system is
X2eq = x2 + xT = j0.075 + j0.075
= j0.15 pu
Zero sequence network for above system is
X0eq = xT = j 0.075 pu
For a line to ground fault
= 2165.06 A
Fault current (If) = (Ib) × (If(pu))
= 2165.06 × 8
= 17320.5 A
A 10 MVA, 6.6 kV generator has percentage reactances to positive, negative and zero sequence currents of 15%, 10%, and 5% respectively and it's neutral is solidly grounded. The generator is unloaded and excited to its rated voltage. The fault current (in kA) will be when a single line to ground fault develops on phase a of the generator. The phase sequence is ABC.
On base MVA of 10 and base voltage of 6.6 kV
Z1 = j 0.15 pu
Z2 j 0.10 pu
Z0 = j 0.05 pu
Zn = 0, Zf = 0
For L-G fault on phase ‘a’
Ib = Ic = 0 and Va = 0
= -j 3.33 pu
Fault current, If = Ia = 3 Ia1 = -j 10 pu
Fault current = Ib × If (pu)
= 8.74 kA
For an unloaded generator, at rated voltage, the magnitude of fault current for a three-phase fault is the same as LG fault. The reactances of the generator are
x1 = 0.2 pu, x2 = 0.15 pu, x0 = 0.05 pu
The value of the neutral grounding reactance is ______ (in pu)
x1 = 0.2 pu, x2 = 0.15 pu, x0 = 0.05 pu
Magnitude of fault current for three phase
Given that, I3-ϕ = ILG
The severity of line to ground and three phase faults is to be same. If the terminal voltage is 1.0 pu, Z1 = Z2 = j 0.1 pu and Z0 = j 0.05 pu for an alternator, then the required inductive reactance for neutral grounding is
Given that,
Z1 = Z2 = j 0.1 pu
Z0 = j 0.05 pu
Ea = 1 pu
For line to ground fault most server current = In = 3 Iao
For 3 - phase fault, fault current = 
As per the equation
⇒ 3z1 = Z1 + Z2 + Z0 + 3Zn
⇒ 3Zn = 2Z1 - Z2 - Z0
⇒ 3Zn = j2(0.1) – j0.1 – j 0.05
The 33 kV busbars of a station are in two sections A and B separated by a reactor. Section A is fed from four 10 MVA generators each having a reactance of 20% section B is fed from the grid through a 50 MVA transformer of 10% reactance. The circuit breakers have each a rupturing capacity of 500 MVA. Find the reactance (in Ω) of the reactor to prevent the circuit breakers from being overloaded, if a symmetrical three-phase fault occurs on an outgoing feeder connected for it. (Take base voltage of 33 KV and base MVA of 50).
The one-line diagram of the system is shown in figure. Given that base voltage = 33 kV
base MVA = 50 MVA
Per unit reactance of generators and transformer are
For a symmetrical three-phase fault at point F on an outgoing feeder connected to A, the reactance diagram with voltage sources short circuited will be as shown below
Three 6.6 kV generators A, B and C each of 10% leakage reactance and MVA ratings 40, 50 and 25, respectively are interconnected electrically as shown in the figure, by a tie bar through current limiting reactors, each of 12% reactance based upon the rating of the machine to which it is connected. A three-phase feeder is supplied from the bus bar of generator A at a line voltage of 6.6 kV. The feeder has a resistance of 0.06 Ω/phase and an indicative reactance of 0.12 Ω/phase. Estimate the maximum MVA that can be fed into asymmetrical short circuit at the far end of the feeder.
Base = 50 MVA, 6.6 kV
= (0.069 + j 0.138) pu
Gen B reactance = 0.12 pu
Zeq = 0.069 + j 0.138 + j 0.125 [(j 0.15) + (j 0.22 || j 0.44)]
= 0.069 + j 0.226 = 0.236 ∠73°
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22 docs|274 tests
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22 docs|274 tests
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