Electrical Engineering Gate 2018 Questions with Answer

Ques 53 GATE 2018


A dc to dc converter shown in the figure is charging a battery bank, B2 whose voltage is constant at 150 V. B1 is another battery bank whose voltage is constant at 50 V. The value of the inductor, L is 5 mH and the ideal switch, S is operated with a switching frequency of 5 kHz with a duty ratio of 0.4. [cite: 112, 113] Once the circuit has attained steady state and assuming the diode D to be ideal, the power transferred from B1 to B2 (in Watt) is ___________ (up to 2 decimal places).


(12.00) is the correct answer.

Ques 54 Gate 2018


In the figure, the voltages are 𝑣1(𝑑) = 100cos(πœ”π‘‘), 𝑣2(𝑑) = 100cos(πœ”π‘‘ + πœ‹/18) and 𝑣3(𝑑) = 100cos(πœ”π‘‘ + πœ‹/36). The circuit is in sinusoidal steady state, and 𝑅 << πœ”πΏ. 𝑃1, 𝑃2 and 𝑃3 are the average power outputs. Which one of the following statements is true?

gate Electrical 2018 3

A

𝑃1 = 𝑃2 = 𝑃3 = 0

B

𝑃1 < 0, 𝑃2 > 0, 𝑃3 > 0

C

𝑃1 < 0, 𝑃2 > 0, 𝑃3 < 0

D

𝑃1 > 0, 𝑃2 < 0, 𝑃3 > 0


(c) is the correct answer.

Ques 55 GATE 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 reactance of the line, respectively. The steady-state stability limit for the transmission line will be

A

greater than |V1V2X|

B

less than |V1V2X|

C

equal to |V1V2X|

D

equal to |V1V2X|


(b) is the correct answer.

Ques 56 GATE 2018


The series impedance matrix of a short three-phase transmission line in phase coordinates is If the positive sequence impedance is (1+j10) Ω, and the zero sequence is (4+j31) Ω, then the imaginary part of Zm(in Ω) is ________ (up to 2 decimal places).


(7.00) is the correct answer.

Ques 57 GATE 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 j0.01 pu respectively on the machine rating base. The machine is unloaded and working at the rated terminal voltage. If the grounding impedance of the generator is j0.01 pu, then the magnitude of fault current for a b-phase to ground fault (in kA) is ________ (up to 2 decimal places).


(73.33) is the correct answer.

Ques 58 GATE 2018


A 1000×1000 bus admittance matrix for an electric power system has 8000 non-zero elements. The minimum number of branches (transmission lines and transformers) in this system are ________ (up to 2 decimal places).


(3500) is the correct answer.

Ques 59 GATE 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 impedance Zf, the fault current is If1 = kIf, where If is the fault current with zero fault impedance. The relation between Zf and k is

A

Zf = (Z1 + Z2)(1 - k) / k

B

Zf = (Z1 + Z2)(1 + k) / k

C

Zf = (Z1 + Z2)k / 1 - k

D

Zf = (Z1 + Z2)k / 1 + k


(a) is the correct answer.

Ques 60 GATE 2018


Consider the two bus power system network with given loads as shown in the figure. All the values shown in the figure are in per unit. The reactive power supplied by generator G1 and G2 are QG1 and QG2 respectively. The per unit values of QG1, QG2 and line reactive power loss Qloss respectively are:

A

5. 00, 12.68, 2.68

B

6.34, 10.00, 1.34

C

6.34, 11.34, 2.68

D

5.00, 11.34, 1.34


(c) is the correct answer.

Ques 61 GATE 2018


The per-unit power output of a salient-pole generator which is connected to an infinite bus, is given by the expression: P = 1.4 sin(Ξ΄) + 0.15 sin(2Ξ΄), where Ξ΄ is the load angle. Newton-Raphson method is used to calculate the value of Ξ΄ for P = 0.8 pu. If the initial guess is 30°, then its value (in degree) at the end of the first iteration is:

A

15Β°

B

28.48Β°

C

28.74Β°

D

31.20Β°


(c) is the correct answer.

Ques 62 GATE 2018


A continuous-time input signal x(t) is an eigenfunction of an LTI system, if the output is

A

kx(t), where k is an eigenvalue

B

kejω tx(t), where k is an eigenvalue and ejω t is a complex exponential signal

C

x(t)ejω t where ejω t is a complex exponential signal

D

kH(Ο‰), where k is an eigenvalue and H(Ο‰) is the frequency response of the system


(a) is the correct answer.

Ques 63 GATE 2018


Consider the two continuous-time signals defined below:

These signals are sampled with a sampling period of T = 0.25 seconds to obtain discrete-time signals x1[n] and x2[n], respectively. Which one of the following statements is true?

A

The energy of x1[n] is greater than the energy of x2[n].

B

The energy of x2[n] is greater than the energy of x1[n].

C

x1[n] and x2[n] have equal energies.

D

Neither x1[n] nor x2[n] is a finite-energy signal.


(a) is the correct answer.

Ques 64 GATE 2018


The signal energy of the continuous-time signal x(t)=[(tβˆ’1)u(tβˆ’1)]βˆ’[(tβˆ’2)u(tβˆ’2)]βˆ’[(tβˆ’3)u(tβˆ’3)]+[(tβˆ’4)u(tβˆ’4)] is

A

11/3

B

7/3

C

1/3

D

5/3


(d) is the correct answer.

Ques 65 GATE 2018


The Fourier transform of a continuous-time signal x(t) is given by: X(ω) = ½(1 + jω), -∞ < ω < ∞, where j = -1 and ω denotes frequency. Then the value of | ln(xt) | at t =1 is ___________ (up to 1 decimal place). (ln denotes the logarithm to base e)


(10.0) is the correct answer.

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