GATE

# GATE Syllabus For Electrical Engineering (EE) 2017 Best Of Luck For Your Exam.

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,
• 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
• 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
• 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
• 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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