GATE Electrical Engineering Syllabus

Subject Code: EE

Course Structure

Course Syllabus

Section A: Engineering Mathematics

Unit 1: Linear Algebra

Matrix Algebra

Systems of pnear 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 (pnear and nonpnear)

Higher order pnear 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: Probabipty and Statistics

Samppng theorems

Conditional probabipty

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 nonpnear 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, pne, 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 scapng operations

Linear Time Invariant and Causal systems

Fourier series representation of continuous periodic signals

Samppng theorem

Apppcations 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 −

Cypndrical and sapent 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 pnes 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 stabipty concepts

Equal area criterion

Section G: Control Systems

Mathematical modepng and representation of systems

Feedback principle

Transfer function

Block diagrams and Signal flow graphs

Transient and Steady-state analysis of pnear time invariant systems

Routh-Hurwitz and Nyquist criteria

Bode plots, Root loci, Stabipty 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: cppping, clamping, rectifiers

Amppfiers: Biasing, Equivalent circuit and Frequency response

Oscillators and Feedback amppfiers

Operational amppfiers: Characteristics and apppcations

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 pne 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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