GATE Electrical Engineering Syllabus


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Subject Code: EE

Course Structure

Sections/Units Topics
Section A Engineering Mathematics
Unit 1 Linear Algebra
Unit 2 Calculus
Unit 3 Differential Equations
Unit 4 Complex Variables
Unit 5 Probability and Statistics
Unit 6 Numerical Methods
Unit 7 Transform Theory
Section B Electric Circuits
Section C Electromagnetic Fields
Section D Signals and Systems
Section E Algorithms
Section F Electrical Machines
Section G Power Systems
Section H Control Systems
Section I Electrical and Electronic Measurements
Section J Analog and Digital Electronics
Section K Power Electronics

Course Syllabus

Section A: Engineering Mathematics

Unit 1: Linear Algebra

  • Matrix Algebra
  • Systems of linear equations
  • Eigenvalues
  • Eigenvectors

Unit 2: Calculus

  • Mean value theorems
  • Theorems of integral calculus
  • Evaluation of definite and improper integrals
  • Partial Derivatives
  • Maxima and minima
  • Multiple integrals
  • Fourier series
  • Vector identities
  • Directional derivatives
  • Line integral
  • Surface integral
  • Volume integral
  • Stokes’s theorem
  • Gauss’s theorem
  • Green’s theorem

Unit 3: Differential equations

  • First order equations (linear and nonlinear)
  • Higher order linear differential equations with constant coefficients
  • Method of variation of parameters
  • Cauchy’s equation
  • Euler’s equation
  • Initial and boundary value problems
  • Partial Differential Equations
  • Method of separation of variables

Unit 4: Complex variables

  • Analytic functions
  • Cauchy’s integral theorem
  • Cauchy’s integral formula
  • Taylor series
  • Laurent series
  • Residue theorem
  • Solution integrals

Unit 5: Probability and Statistics

  • Sampling theorems

  • Conditional probability

  • Mean, Median, Mode, Standard Deviation, Random variables, Discrete and Continuous distributions

  • Poisson distribution

  • Normal distribution

  • Binomial distribution

  • Correlation analysis,

  • Regression analysis

Unit 6: Numerical Methods

  • Solutions of nonlinear algebraic equations
  • Single and Multi-step methods for differential equations

Unit 7: Transform Theory

  • Fourier Transform
  • Laplace Transform
  • z-Transform

Section B: Electric Circuits

  • Network graph
  • KCL, KVL, Node and Mesh analysis
  • Transient response of dc and ac networks
  • Sinusoidal steady-state analysis
  • Resonance
  • Passive filter, 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

Section C: 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

Section D: 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

Section E: 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

Section F: 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
  • GaussSeidel 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

Section G: 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

Section H: 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

Section I: 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
  • 8085Microprocessor −
    • Architecture
    • Programming
    • Interfacing

Section H: Power Electronics

  • Characteristics of semiconductor power devices −
    • Diode
    • Thyristor
    • Triac
    • GTO
    • MOSFET
    • IGBT
  • DC to DC conversion −
    • Buck
    • Boost
    • 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

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