Symmetrical Components and Symmetrical and Unsymmetrical Faults · Power System Analysis · GATE EE

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Marks 1

GATE EE 2022
The valid positive, negative and zero sequence impedances (in p.u.), respectively, for a 220 kV, fully transported three-phase transmission line, fro...
GATE EE 2018
The series impedance matrix of a short three-phase transmission line in phase coordinates is $$\left[ {\matrix{ {{Z_s}} & {{Z_m}} & {{Z_m}}...
GATE EE 2018
The positive, negative and zero sequence impedances of a 125 MVA, three-phase, 15.5 kV, star-grounded, 50 Hz generator are 𝑗0.1 pu, j0.05 pu and j0.0...
GATE EE 2014 Set 2
A three phase star-connected load is drawing power at a voltage of 0.9 pu and 0.8 power factor lagging. The three phase base power and base current ar...
GATE EE 2014 Set 3
For a fully transposed transmission line
GATE EE 2014 Set 1
Three phase to ground fault takes place at locations $${F_1}$$ and $${F_2}$$ in the system shown in the figure. If the fault takes place at locatio...
GATE EE 2014 Set 1
A 2-bus system and corresponding zero sequence network are shown in the figure. The transformers T1 and T2 are connected as ...
GATE EE 2012
The sequence components of the fault current are as follows: $${{\rm I}_{positive}} = j1.5\,pu,\,\,{{\rm I}_{negative}} = - j0.5\,\,pu,$$ $${{\rm I}...
GATE EE 2008
A 3-phase transmission line is shown in figure: Voltage drop across the transmission line is given by the following equation: $$$\left[ {\matrix{ ...
GATE EE 1997
For a fault at the terminals of a synchronous generator, the fault current is maximum for a
GATE EE 1996
For an unbalanced fault, with paths for zero sequence currents, at the point of fault
GATE EE 1995
The positive sequence component of the voltage at the point of fault in a power system is zero for a _________fault.

Marks 2

GATE EE 2023
The two-bus power system shown in figure (i) has one alternator supplying a synchronous motor load through a Y-$$\Delta$$ transformer. The positive, n...
GATE EE 2018
The positive, negative and zero sequence impedances of a three phase generator are Z1, Z2 and Z0 respectively. For a line-to-line fault with fault imp...
GATE EE 2017 Set 1
The positive, negative and zero sequence reactances of a wye-connected synchronous generator are 0.2 pu, 0.2 pu, and 0.1 pu, respectively. The generat...
GATE EE 2016 Set 1
A 30 MVA, 3-phase, 50Hz, 13.8 kV, star-connected synchronous generator has positive, negative and zero sequence reactances, 15%, 15% and 5% respective...
GATE EE 2015 Set 1
A sustained three phase fault occurs in the power system shown in the figure. The current and voltage phasors during the fault (on a common reference)...
GATE EE 2014 Set 2
A three phase, $$100$$ $$MVA,$$ $$25$$ $$kV$$ generator has solidly grounded neutral. The positive, negative, and the zero sequence reactance's of the...
GATE EE 2014 Set 1
In an unbalanced three phase system phase current $${{\rm I}_a} = 1\angle \left( { - {{90}^0}} \right)\,\,pu,\,\,$$ negative sequence current $$\,{{\r...
GATE EE 2010
The zero-sequence circuit of the three phase transformer shown in the figure is ...
GATE EE 2008
Given that: $$\,{V_{s1}} = {V_{s2}} = 1 + j0\,\,p.u,\,\, + ve\,\,$$ sequence impedance are $$\,{Z_{s1}} = {Z_{s2}} = 0.001 + j0.01\,\,p.u\,\,$$ and $...
GATE EE 2008
Given that: $$\,{V_{s1}} = {V_{s2}} = 1 + j0\,\,p.u,\,\, + ve\,\,$$ sequence impedance are $$\,{Z_{s1}} = {Z_{s2}} = 0.001 + j0.01\,\,p.u\,\,$$ and $...
GATE EE 2008
Given that: $$\,{V_{s1}} = {V_{s2}} = 1 + j0\,\,p.u,\,\, + ve\,\,$$ sequence impedance are $$\,{Z_{s1}} = {Z_{s2}} = 0.001 + j0.01\,\,p.u\,\,$$ and $...
GATE EE 2007
Suppose we define a sequence transformation between ''a-b-c'' and ''p-n-0''' variables as follows: $$\left[ {\matrix{ {{f_a}} \cr {{f_b}} \cr...
GATE EE 2006
Three identical star connected resistors of $$1.0$$ $$p.u$$ are connected to an unbalanced $$3$$ phase supply. The load neutral is isolated. The symme...
GATE EE 2005
At a $$220$$ kV substation of a power system, it is given that the three-phase fault level is $$4000$$ MVA and single-line to ground fault level is $$...
GATE EE 2005
The parameters of transposed overhead transmission line are given as: self reactance $${X_s} = 0.4\,\,\Omega /km$$ and Mutual reactance $$\,{X_m} = 0....
GATE EE 2005
At a $$220$$ kV substation of a power system, it is given that the three-phase fault level is $$4000$$ MVA and single-line to ground fault level is $$...
GATE EE 2004
A 500 MVA, 50 Hz, 3-phase turbo-generator produces power at 22 kV. Generator is Y-connected and its neutral is solidly grounded. Its sequence reactanc...
GATE EE 2004
A $$3$$-phase generator rated at $$110$$ MVA, $$11$$ kV is connected through circuit breakers to a transformer. The generator is having direct axis...
GATE EE 2004
A 3-phase transmission line supplies $$\Delta - $$ connected load Z. The conductor $$'c'$$ of the line develops an open circuit fault as shown in fig...
GATE EE 2003
A 20-MVA, 6.6-kV, 3-phase alternator is connected to a 3-phase transmission line. The per unit positive sequence, negative sequence and zero sequence ...
GATE EE 2003
A three-phase alternator generating unbalanced voltages is connected to an unbalanced load through a 3-phase transmission line as shown in figure. The...
GATE EE 2002
A generator is connected to a transformer which feeds another transformer through a short feeder. The zero sequence impedance values are expressed in ...
GATE EE 2001
A $$50$$ Hz alternator is rated $$500$$ $$MVA,$$ $$20$$ $$kV,$$ with $${X_d} = 1.0$$ per unit and $$X'{'_d} = 0.2$$ per unit. It supplies a purely res...
GATE EE 2000
The severity of line-to-ground and three phase faults at the terminals of an unloaded synchronous generator is to be same. If the terminal voltage is ...
GATE EE 1998
For the network shown in figure the zero sequence reactances in p.u. are indicated. The zero sequence driving point reactance of the node 3 is ...

Marks 5

GATE EE 2001
A single line-to-ground fault occurs on an unloaded generator in phase a positive, negative, and zero sequence impedances of the generator are j0.25 p...
GATE EE 2000
For the configuration shown in figure, the breaker connecting a large system to bus $$2$$ is initially open. The system $$3$$-phase fault level at bus...
GATE EE 1999
Determine the required MVA rating of the circuit breaker CB for the system shown in given figure. Consider the grid as infinite bus. Choose 6 MVA as b...
GATE EE 1999
Determine the magnitudes of the symmetrical components ($${{{\rm I}_{R1}},\,{{\rm I}_{R2}}\,}$$ and $${{{\rm I}_{R0}}}$$) of the currents in a three p...
GATE EE 1994
In a power-system, the $$3$$-phase fault MVA is always higher than the single-line-ground fault MVA at a bus (State True or False)
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