# Power System Stability · Power System Analysis · GATE EE

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## Marks 1

GATE EE 2022
Two generating units rated for 250 MW and 400 MW have governor speed regulations of 6% and 6.4%, respectively, from no load to full load. Both the gen...
GATE EE 2022
A 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of 15 MJ/MVA. If the input and output powers of the alternator are 15 MW and 10 MW...
GATE EE 2018
Consider a lossy transmission line with V1 and V2 as the sending and receiving end voltages, respectively. Z and X are the series impedance and reacta...
GATE EE 2014 Set 2
Shunt reactors are sometimes used in high voltage transmission systems to
GATE EE 2013
The angle $$\delta$$ in the swing equation of a synchronous generator is the
GATE EE 2003
A round rotor generator with internal voltage $${E_1} = 2.0\,\,$$ p.u.and $$\,X = 1.1\,\,$$ p.u. is connected to a round rotor synchronous motor with...
GATE EE 1999
Steady state stability of a power system is the ability of the power system to
GATE EE 1997
A $$100$$ $$MVA$$, $$11$$ $$kV$$, $$3$$-phase, $$50$$ $$Hz$$, $$8$$-pole synchronous generator has an inertia constant H equal to $$4$$ $$MJ/MVA.$$ ...
GATE EE 1996
During a disturbance on synchronous machine, the rotor swings from A to B before finally settling down to a steady state at a point C on the power an...
GATE EE 1993
The transient stability of the power system can be effectively improved by

## Marks 2

GATE EE 2024
The single line diagram of a lossless system is shown in the figure. The system is operating in steady-state at a stable equilibrium point with the po...
GATE EE 2017 Set 2
A 3-phase, 2-pole, 50 Hz, synchronous generator has a rating of 250 MVA, 0.8 pf lagging. The kinetic energy of the machine at synchronous speed is 100...
GATE EE 2017 Set 1
The figure shows the single line diagram of a power system with a double circuit transmission line. The expression for electrical power is $$\,1.5\,\,... GATE EE 2015 Set 2 The synchronous generator shown in the figure is supplying active power to an infinite bus via two short, lossless transmission lines, and is initiall... GATE EE 2015 Set 1 A 50 Hz generating unit has H-constant of 2 MJ/MVA. The machine is initially operating in steady state at synchronous speed, and producing 1 pu of rea... GATE EE 2014 Set 3 The figure shows the single line diagram of a single machine infinite bus system. The inertia constant of the synchronous generator$$𝐻 = 5MW-...
GATE EE 2012
A cylindrical rotor generator delivers $$0.5$$ pu power in the steady-state to an infinite bus through a transmission line of reactance $$0.5$$ pu. Th...
GATE EE 2009
A $$500$$ $$MW,$$ $$21$$ $$kV,$$ $$50$$ $$Hz,$$ $$3$$-phase, $$2$$-pole synchronous generator having a rated $$p.f.=$$$$0.9,$$ has a moment of inertia...
GATE EE 2008
A lossless single machine infinite bus power system is shown below: The synchronous generator transfers $$1.0$$ per unit of power to the infinite bu...
GATE EE 2007
Consider a synchronous generator connected to an infinite bus by two identical parallel transmission lines. The transient reactance $$x'$$ of the ge...
GATE EE 2006
A generator feeds power to an infinite bus through a double circuit transmission line. A 3 phase fault occurs at the middle point of one of the lines...
GATE EE 2006
A generator feeds power to an infinite bus through a double circuit transmission line. A $$3$$ phase fault occurs at the middle point of one of the l...
GATE EE 2005
A generator with constant 1.0 p.u. terminal voltage supplies power through a step-up transformer of 0.12 p.u. reactance and a double-circuit line to a...
GATE EE 2004
A 50 Hz, 4-pole, 500 MVA, 22 kV turbo-generator is delivering rated megavolt-amperes at 0.8 power factor. Suddenly a fault occurs reducing is electric...
GATE EE 2003
A generator delivers power of 1.0 p.u. to an infinite bus through a purely reactive network. The maximum power that could be delivered by the generato...
GATE EE 2002
A transmission line has a total series reactance of 0.2 pu. Reactive power compensation is applied at the midpoint of the line and it is controlled su...
GATE EE 1998
A power station consists of two synchronous generators A and B of ratings 250 MVA and 500 MVA with inertia constant 1.6 p.u. and 1.0 p.u., respective...

## Marks 5

GATE EE 2002
A synchronous generator is to be connected to an infinite bus through a transmission line of reactance X = 0.2 pu, as shown in figure the generator da...
GATE EE 2001
A synchronous generator is connected to an infinite bus through a lossless double circuit transmission line. The generator is delivering 1.0 per unit ...
GATE EE 2000
A synchronous generator, having a reactance of 0.15 p.u., is connected to an infinite bus through two identical parallel transmission lines having rea...
GATE EE 1998
An alternator is connected to an infinite bus as shown in figure. It delivers 1.0 p.u. current at 0.8 p.f lagging at V = 1.0 p.u.. The reactance Xd of...
GATE EE 1997
A synchronous motor is receiving 50% of the power it is cable to receiving from an infinite bus. If the load on the motor is suddenly reduced to 80% o...
GATE EE 1994
In a system, there are two generators operating in parallel. One generator, of rating 250 MVA, has an inertia-constant of 6 MJ/MVA while the other gen...
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