Electrical Engineering GATE 2017 Set I Questions with Answer

Ques 14 Fourier Analysis

Consider Here, ⌊t⌋ represents the largest integer less than or equal to and ⌈t⌉ denotes the smallest integer greater than or equal to t. The coefficient of the second harmonic component of the Fourier series representing g(t) is

Ques 15 Induction Machines

A 4 pole induction machine is working as an induction generator. The generator supply frequency is 60 Hz. The rotor current frequency is 5 Hz. The mechanical speed of the rotor in RPM is

Ques 16 Inverters

A 3-phase voltage source inverter is supplied from a 600V DC source as shown in the figure below. For a star connected resistive load of 202 per phase, the load power for 120° device conduction, in kW, is

Ques 17 Linear Algebra

The matrix has three distinct eigenvalues and one of its eigenvectors is Which one of the following can be another eigenvector of A?

Ques 18 Mathematics

Let z(t) - x(t) * y(t), where "*" denotes convolution. Let c be a positive real-valued constant, Choose the correct expression for z(ct).

Ques 19 Measurement Errors

The following measurements are obtained on a single phase load: V=220±1%, I=5.0 A±1% and W=555 W±2%. If the power factor is calculated using these measurements, the worst case error in the calculated power factor in percent is ____________ . (Give answer up to one decimal place.)

Ques 20 Power System Analysis

A 3-bus power system is shown in the figure below, where the diagonal elements of Y-bus matrix are: Y₁₁ = –j12 pu, Y₂₂ = –j15 pu, and Y₃₃ = –j7 pu. The per unit values of the line reactances p, q, and r shown in the figure are __________.

Ques 21 Power System Analysis

A 10-bus power system consists of four generator buses indexed as G1, G2, G3, G4 and six load buses indexed as L1, L2, L3, L4, L5, L6. The generator-bus G1 is considered as slack bus, and the load buses L3 and L4 are voltage controlled buses. The generator at bus G2 cannot supply the required reactive power demand, and hence it is operating at its maximum reactive power limit. The number of non-linear equations required for solving the load flow problem using Newton-Raphson method in polar form is ____________.

Ques 22 Semiconductor Devices

For the power semiconductor devices IGBT, MOSFET, Diode and Thyristor, which one of the following statements is TRUE?

Ques 23 Stability Analysis

A closed loop system has the characteristic equation given by s³ + Ks² + (K + 2)s + 3 = 0 For this system to be stable, which one of the following conditions should be satisfied?

Ques 24 Stability Analysis

Consider the unity feedback control system shown. The value of K that results in a phase margin of the system to be 30° is ___________. (Give the answer up to two decimal places.)

Ques 25 Synchronous Machines

A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is 30 Ω per phase. The load angle is 30°. The power delivered to the motor in kW is ____________. (Give the answer up to one decimal place).

Ques 26 System Properties

Consider the system with following input-output relation