Electrical Engineering Gate 2022 Questions with Answer

Ques 53 GATE 2022


A 3-phase grid-connected voltage source converter with DC link voltage of 1000 V is switched using sinusoidal Pulse Width Modulation (PWM) technique. If the grid phase current is 10 A and the 3-phase complex power supplied by the converter is given by (-4000-j3000) VA, then the modulation index used in sinusoidal PWM is ________. (round off to two decimal places)


(0.47) is the correct answer.

Ques 54 GATE 2022


The steady state current flowing through the inductor of a DC-DC buck boost converter is given in the figure below. If the peak-to-peak ripple in the output voltage of the converter is 1 V, then the value of the output capacitor, in µF, is ________. (round off to nearest integer)


(168) is the correct answer.

Ques 55 GATE 2022


The most commonly used relay, for the protection of an alternator against loss of excitation, is

A

offset Mho relay.

B

over current relay.

C

differential relay.

D

Buchholz relay.


(a) is the correct answer.

Ques 56 GATE 2022


The geometric mean radius of a conductor, having four equal strands with each strand of radius 'r', as shown in the figure below, is

A

4r

B

1.414 r

C

2r

D

1.723 r


(d) is the correct answer.

Ques 57 GATE 2022


The valid positive, negative and zero sequence impedances (in p.u.), respectively, for a 220 kV, fully transposed three-phase transmission line, from the given choices are

A

1.1, 0.15 and 0.08

B

0.15, 0.15 and 0.35

C

0.2, 0.2 and 0.2

D

0.1, 0.3 and 0.1


(b) is the correct answer.

Ques 58 GATE 2022


The fuel cost functions in rupees/hour for two 600 MW thermal power plants are given by
Plant 1: C1 = 350 + 6P1 + 0.004P12
Plant 2: C2 = 450 + aP2 + 0.003P22
where P1 and P2 are power generated by plant 1 and plant 2, respectively, in MW and a is constant. The incremental cost of power (λ) is 8 rupees per MWh. The two thermal power plants together meet a total power demand of 550 MW. The optimal generation of plant 1 and plant 2 in MW, respectively, are

A

200, 350

B

250, 300

C

325, 225

D

350, 200


(b) is the correct answer.

Ques 59 GATE 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 generating units are operating in parallel to share a load of 500 MW. Assuming free governor action, the load shared in MW, by the 250 MW generating unit is ________. (round off to nearest integer)


(195) is the correct answer.

Ques 60 GATE 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, respectively, the angular acceleration in mechanical degree/s² is ________. (round off to nearest integer)


(75) is the correct answer.

Ques 61 GATE 2022


The transfer function of a real system, H(s), is given as: H(s) = (As+B)/(s2+Cs+D) where A, B, C and D are positive constants. This system cannot operate as

A

low pass filter.

B

high pass filter.

C

band pass filter.

D

an integrator.


(d) is the correct answer.

Ques 62 GATE 2022


Let a causal LTI system be governed by the following differential equation y(t) + (1/4)dy/dt = 2x(t), where x(t) and y(t) are the input and output respectively. Its impulse response is

A

2e-t/4u(t)

B

2e-4tu(t)

C

8e-t/4u(t)

D

8e-4tu(t)


(d) is the correct answer.

Ques 63 GATE 2022


Let an input x(t) = 2sin(10πt) + 5cos(15πt) + 7sin(42πt) + 4cos(45πt) is passed through an LTI system having an impulse response, h(t) = 2(sin(10πt)/πt)cos(40πt). The output of the system is

A

2sin(10πt) + 5cos(15πt)

B

5cos(15πt) + 7sin(42πt)

C

7sin(42πt) + 4cos(45πt)

D

2sin(10πt) + 4cos(45πt)


(c) is the correct answer.

Ques 64 GATE 2022


Consider the system as shown below

where y(t) = x(et). The system is

A

linear and causal.

B

linear and non-causal.

C

non-linear and causal.

D

non-linear and non-causal.


(b) is the correct answer.

Ques 65 GATE 2022


The discrete time Fourier series representation of a signal x[n] with period N is written as x[n] = Σk=0N-1 akej(2knπ/N). A discrete time periodic signal with period N=3, has the non-zero Fourier series coefficients: a-3=2 and a4=1. The signal is

A

2+2e-(j2πn/6)cos(2πn/6)

B

1+2e(j2πn/6)cos(2πn/6)

C

1+2e(j2πn/3)cos(2πn/6)

D

2+2e(j2πn/6)cos(2πn/6)


(b) is the correct answer.

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