Electrical Engineering Gate Yearwise 




Electrical Engineering GATE 2024 Questions with Answer

Ques 53 Power Electronics

A single-phase full bridge voltage source inverter (VSI) feeds a purely inductive load. The inverter output voltage is a square wave in 180° conduction mode. The fundamental frequency of the output voltage is 50 Hz. If the DC input voltage of the inverter is 100 V and the value of the load inductance is 20 mH, the peak-to-peak load current in amperes is _______. (rounded off to the nearest integer)


20 is the correct answer.


Ques 54 Power Electronics

In the DC-DC converter shown in the figure, the current through the inductor is continuous. The switching frequency is 500 Hz. The voltage (Vo) across the load is assumed to be constant and ripple free. The peak inductor current in amperes is _______. (rounded off to the nearest integer)


4 is the correct answer.


Ques 55 Power Electronics

A single-phase full-controlled thyristor converter bridge is used for regenerative braking of a separately excited DC motor with the following specifications:

Assume that the motor is running at 600 rpm and the armature terminals of the motor are suitably reversed for regenerative braking. If the armature current of the motor is to be maintained at the rated value, the triggering angle of the converter bridge in degrees should be _______. (rounded off to 2 decimal places)


145.00 is the correct answer.


Ques 56 Power Systems

The incremental cost curves of two generators (Gen A and Gen B) in a plant supplying a common load are shown in the figure. If the incremental cost of supplying the common load is Rs. 7400 per MWh, then the common load in MW is _______. (rounded off to the nearest integer)


80 is the correct answer.


Ques 57 Power Systems

For the three-bus lossless power network shown in the figure, the voltage magnitudes at all the buses are equal to 1 per unit (pu), and the differences of the voltage phase angles are very small. The line reactances are marked in the figure, where α, β, γ, and x are strictly positive. The bus injections P1 and P2 are in pu. If P1=mP2, where m>0, and the real power flow from bus 1 to bus 2 is 0 pu, then which one of the following options is correct?

A

γ=mβ

B

β=mγ

C

α=mγ

D

α=mβ



Ques 58 Power Systems

Which of the following options is/are correct for the Automatic Generation Control (AGC) and Automatic Voltage Regulator (AVR) installed with synchronous generators?

A

AGC response has a local effect on frequency while AVR response has a global effect on voltage.

B

AGC response has a global effect on frequency while AVR response has a local effect on voltage.

C

AGC regulates the field current of the synchronous generator.

D

AVR regulates the generator's mechanical power input.



Ques 59 Signals and Systems

Suppose signal y(t) is obtained by the time-reversal of signal x(t), i.e., y(t)=x(-t), -∞<t<∞. Which one of the following options is always true for the convolution of x(t) and y(t)?

A

It is an even signal.

B

It is an odd signal.

C

It is a causal signal.

D

It is an anti-causal signal.



Ques 60 Signals and Systems

If u(t) is the unit step signal, the region of convergence (ROC) of the Laplace transform of the signal x(t)=e(t2)[u(t-1)-u(t-10)] is _______.

A

-∞<Re(s)<∞

B

Re(s)≥10

C

Re(s)≤1

D

1≤Re(s)≤10



Ques 61 Signals and Systems

Suppose signal y(t) is obtained by the time-reversal of signal x(t), i.e., y(t)=x(-t), -∞<t<∞. Which one of the following options is always true for the convolution of x(t) and y(t)?

A

It is an even signal.

B

It is an odd signal.

C

It is a causal signal.

D

It is an anti-causal signal.



Ques 62 Signals and Systems

The input x(t) and the output y(t) of a system are related as

The system is _______.

A

nonlinear

B

linear and time-invariant

C

noncausal

D

linear but not time-invariant



Ques 63 Signals and Systems

Consider the discrete-time systems T1 and T2 defined as follows:

Which one of the following statements is true?

A

T1 and T2 are BIBO stable.

B

T1 and T2 are not BIBO stable.

C

T1 is BIBO stable but T2 is not BIBO stable.

D

T1 is not BIBO stable but T2 is BIBO stable.



Ques 64 Signals and Systems

If the Z-transform of a finite-duration discrete-time signal x[n] is X(z), then the Z-transform of the signal y[n]=x[2n] is _______.

A

Y(z)=X(z2)

B

Y(z)=(1/2)[X(z-1/2)+X(-z-1/2)]

C

Y(z)=(1/2)[X(z1/2)+X(-z1/2)]

D

Y(z)=(1/2)[X(z2)+X(-z2)]



Ques 65 Signals and Systems

If the energy of a continuous-time signal x(t) is E and the energy of the signal 2x(2t-1) is cE, then c is _______. (rounded off to 1 decimal place)


1.0 is the correct answer.


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