GATE Syllabus for Electrical Engineering - EE

ENGINEERING MATHEMATIC


Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen
values and eigen vectors.

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, Surface and Volume
integrals, Stokes, Gauss and Green's theorems.




Differential equations: First order equation (linear and nonlinear),
Higher order linear differential equations with constant coefficients,
Method of variation of parameters, Cauchy's and Euler's equations,
Initial and boundary value problems, Partial Differential Equations
and variable separable method.

Complex variables: Analytic functions, Cauchy's integral theorem and
integral formula, Taylor's and Laurent series, Residue theorem,
solution integrals.

Probability and Statistics: Sampling theorems, Conditional
probability, Mean, median, mode and standard deviation, Random
variables, Discrete and continuous distributions, Poisson, Normal and
Binomial distribution, Correlation and regression analysis.

Numerical Methods: Solutions of non-linear algebraic equations, single
and multi-step methods for differential equations.

Transform Theory: Fourier transform, Laplace transform, Z-transform.


ELECTRICAL ENGINEERING

Electric Circuits and Fields: Network graph, KCL, KVL, node and mesh
analysis, transient response of dc and ac networks; sinusoidal
steady-state analysis, resonance, basic filter concepts; ideal current
and voltage sources, Thevenin's, Norton's and Superposition and
Maximum Power Transfer theorems, two-port networks, three phase
circuits; Gauss Theorem, electric field and potential due to point,
line, plane and spherical charge distributions; Ampere's and
Biot-Savart's laws; inductance; dielectrics; capacitance.

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; Fourier, Laplace and Z transforms.

Electrical Machines: Single phase transformer - equivalent circuit,
phasor diagram, tests, regulation and efficiency; three phase
transformers - connections, parallel operation; auto-transformer;
energy conversion principles; DC machines - types, windings, generator
characteristics, armature reaction and commutation, starting and speed
control of motors; three phase induction motors - principles, types,
performance characteristics, starting and speed control; single phase
induction motors; synchronous machines - performance, regulation and
parallel operation of generators, motor starting, characteristics and
applications; servo and stepper motors.

Power Systems: Basic power generation concepts; transmission line
models and performance; cable performance, insulation; corona and
radio interference; distribution systems; per-unit quantities; bus
impedance and admittance matrices; load flow; voltage control; power
factor correction; economic operation; symmetrical components; fault
analysis; principles of over-current, differential and distance
protection; solid state relays and digital protection; circuit
breakers; system stability concepts, swing curves and equal area
criterion; HVDC transmission and FACTS concepts.

Control Systems: Principles of feedback; transfer function; block
diagrams; steady-state errors; Routh and Niquist techniques; Bode
plots; root loci; lag, lead and lead-lag compensation; state space
model; state transition matrix, controllability and observability.

Electrical and Electronic Measurements: Bridges and potentiometers;
PMMC, moving iron, dynamometer and induction type instruments;
measurement of voltage, current, power, energy and power factor;
instrument transformers; digital voltmeters and multimeters; phase,
time and frequency measurement; Q-meters; oscilloscopes;
potentiometric recorders; error analysis.

Analog and Digital Electronics: Characteristics of diodes, BJT, FET;
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;
Schmitt trigger; multi-vibrators; sample and hold circuits; A/D and
D/A converters; 8-bit microprocessor basics, architecture, programming
and interfacing.

Power Electronics and Drives: Semiconductor power diodes, transistors,
thyristors, triacs, GTOs, MOSFETs and IGBTs - static characteristics
and principles of operation; triggering circuits; phase control
rectifiers; bridge converters - fully controlled and half controlled;
principles of choppers and inverters; basis concepts of adjustable
speed dc and ac drives