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GATE Online Preparation - 2019

We fill the gap between Aspiration & Reality of GATE

GATE 2019 Syllabus for Electrical and Electronics Engineering

Engineering Mathematics


Linear Algebra
  • Matrix algebra

  • Systems of linear equations

  • Eigen values and Eigen vectors

Ordinary Differential Equation ( ODE )
  • First order ( linear and non – linear ) equations

  • higher order linear equations with constant coefficients

  • Euler – Cauchy equations

  • Laplace transform and its application in solving linear ODEs

  • Initial and boundary value problems.

Partial Differential Equation ( PDE ) : Fourier series
  • separation of variables

  • solutions of onedimensional diffusion equation

  • first and second order one – dimensional wave equation and two-dimensional Laplace equation.

Calculus
  • Functions of single variable

  • Limit, continuity and differentiability

  • Mean value theorems

  • local maxima and minima

  • Taylor and Maclaurin series

  • Evaluation of definite and indefinite integrals

  • application of definite integral to obtain area and volume

  • Partial derivatives

  • Total derivative

  • Gradient

  • Divergence and Curl, Vector identities

  • Directional derivatives

  • Line, Surface and Volume integrals

  • Stokes

  • Gauss and Green's theorems.

Probability and Statistics
  • Definitions of probability and sampling theorems

  • Conditional probability

  • Discrete Random variables

  • Poisson and Binomial distributions

  • Continuous random variables

  • normal and exponential distributions

  • Descriptive statistics – Mean, median, mode and standard deviation

  • Hypothesis testing.

Numerical Methods
  • Accuracy and precision

  • error analysis

  • Numerical solutions of linear and non – linear algebraic equations

  • Least square approximation

  • Newton's and Lagrange polynomials

  • numerical differentiation

  • Integration by trapezoidal and Simpson's rule

  • single and multi – step methods for first order differential equations.

Electric Circuits


  • Network graph

  • KCL, KVL

  • Node and Mesh analysis

  • Transient response of dc and ac networks

  • Sinusoidal steady ‐ state analysis

  • Resonance

  • Passive filters

  • Ideal current and voltage sources

  • Thevenin's theorem, Norton's theorem, Superposition theorem, Maximum power transfer theorem

  • Two port networks, Three phase circuits, Power and power factor in ac circuits.

Electromagnetic Fields


  • Coulomb's Law

  • Electric Field Intensity

  • Electric Flux Density

  • Gauss's Law

  • Divergence

  • Electric field and potential due to point line

  • plane and spherical charge distributions

  • Effect of dielectric medium

  • Capacitance of simple configurations

  • Biot ‐ Savart's law

  • Ampere's law

  • Curl, Faraday's law

  • Lorentz force

  • Inductance

  • Magnetomotive force

  • Reluctance

  • Magnetic circuits

  • Self and Mutual inductance of simple configurations.

Signals and Systems


  • Representation of continuous and discrete ‐ time signals

  • Shifting and scaling operations

  • Linear Time Invariant and Causal systems

  • Fourier series representation of continuous periodic signals

  • Sampling theorem

  • Applications of Fourier Transform

  • Laplace Transform and z – Transform.

Electrical Machines


  • Single phase transformer

  • equivalent circuit

  • phasor diagram

  • open circuit and short circuit tests

  • regulation and efficiency;

  • Three phase transformers

  • connections parallel operation

  • Auto ‐ transformer

  • Electromechanical energy conversion principles

  • DC machines

  • separately excited

  • series and shunt motoring and generating mode of operation and their characteristics

  • starting and speed control of dc motors

  • Three phase induction motors

  • principle of operation

  • Types

  • Performance

  • torque – speed characteristics

  • no – load and blocked rotor tests

  • equivalent circuit

  • starting and speed control

  • Operating principle of single phase induction motors

  • Synchronous machines

  • cylindrical and salient pole machines

  • Performance

  • regulation and parallel operation of generators

  • starting of synchronous motor

  • characteristics

  • Types of losses and efficiency calculations of electric machines.

Power Systems


  • Power generation concepts

  • ac and dc transmission concepts

  • Models and performance of transmission lines and cables

  • Series and shunt compensation

  • Electric field distribution and insulators

  • Distribution systems Per ‐ unit quantities

  • Bus admittance matrix

  • Gauss – Seidel and Newton – Raphson load flow methods

  • Voltage and Frequency control

  • Power factor correction

  • Symmetrical components

  • Symmetrical and unsymmetrical fault analysis

  • Principles of over - current

  • differential and distance protection

  • Circuit breakers

  • System stability concepts

  • Equal area criterion.

Control Systems


  • Mathematical modeling and representation of systems

  • Feedback principle

  • transfer function

  • Block diagrams and Signal flow graphs

  • Transient and Steady ‐ state analysis of linear time invariant systems

  • Routh – Hurwitz and Nyquist criteria

  • Bode plots

  • Root loci

  • Stability analysis

  • Lag, Lead and Lead ‐ Lag compensators

  • P, PI and PID controllers

  • State space model

  • State transition matrix.

Electrical and Electronic Measurements


  • Bridges and Potentiometers

  • Measurement of voltage

  • current, power, energy and power factor

  • Instrument transformers

  • Digital voltmeters and multimeters

  • Phase, Time and Frequency measurement

  • Oscilloscopes

  • Error analysis.

Analog and Digital Electronics


  • Characteristics of diodes

  • BJT, MOSFET

  • Simple diode circuits

  • clipping, clamping, rectifiers

  • Amplifiers

  • Biasing

  • Equivalent circuit and Frequency response

  • Oscillators and Feedback amplifiers

  • Operational amplifiers: Characteristics and applications

  • Simple active filters

  • VCOs and Timers

  • Combinational and Sequential logic circuits

  • Multiplexer, Demultiplexer

  • Schmitt trigger

  • Sample and hold circuits

  • A / D and D / A converters

  • 8085 Microprocessor

  • Architecture

  • Programming and Interfacing.

Power Electronics


  • Characteristics of semiconductor power devices

  • Diode]

  • Thyristor

  • Triac, GTO, MOSFET, IGBT

  • DC to DC conversion

  • Buck

  • Boost and Buck – Boost converters

  • Single and three phase configuration of uncontrolled rectifiers

  • Line commutated thyristor based converters

  • Bidirectional ac to dc voltage source converters

  • Issues of line current harmonics

  • Power factor

  • Distortion factor of ac to dc converters

  • Single phase and three phase inverters

  • Sinusoidal pulse width modulation.

TOPICS NOT INCLUDED IN GATE SYLLABUS


1. Electrical Materials
2. Electrical and Electronics measurement.
  • A. Basic of sensors, Transducers.

  • B. Basic of data acquisition systems.

3. Computer fundamentals.
4. Basic of electronics engineering.
5. Communication Systems.
6. Signal Processing
  • A. Discrete cosine transform

  • B. FIR, IIR, filter

  • C. Bilinear transformation

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