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GATE Syllabus For Electrical Engineering (EE) 2017

GATE Syllabus For Electrical Engineering Exam 2017

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Section 1: Engineering Mathematics
Linear Algebra:

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

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

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

Complex variables:

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

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

Numerical Methods:

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

Transform Theory:

  • Fourier Transform
  • Laplace Transform
Section 2: 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.
Section 3: 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
  • BiotSavart’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 4: 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 5: Electrical Machines
  • Single phase transformer:
    • equivalent circuit, phasor diagram
    • open circuit and short circuit tests
    • regulation and efficiency
  • Three phase transformers:
    • connections
    • parallel operation
    • Autotransformer
    • 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:
    • the 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 the synchronous motor, characteristics
    • Types of losses and efficiency calculations of electric machines
Section 6: 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 overcurrent
  • differential and distance protection
  • Circuit breakers
  • System stability concepts
  • Equal area criterion
Section 7: 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 LeadLag compensators
  • P, PI, and PID controllers
  • State space model, State transition matrix
Section 8: 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 9: 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
Section 10: 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

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