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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)
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)

Ques 55 GATE 2022
The most commonly used relay, for the protection of an alternator against loss of excitation, is
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

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
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
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)
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)
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
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
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
Ques 64 GATE 2022
Consider the system as shown below

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
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