Summary of GATE 2013 Electrical Engineering Syllabus
Mathematics Syllabus: Linear Algebra, Calculus, Differential equations, Complex variable, Probability,
Numerical Methods, Transform Theory.
Electrical Engineering Syllabus: Electric Circuits and Fields, Signals and Systems, Electrical Machines,
Power Systems, Control Systems, Electrical and Electronic Measurements, Analog and Digital Electronics,
Power Electronics and Drives.
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.
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.
Some institutions specify GATE as the mandatory qualification even for admission of self-financing students to postgraduate programmes. GATE qualified candidates are also eligible for the award of Junior Research Fellowship in CSIR Laboratories and CSIR sponsored projects. Some government organizations prescribe GATE qualification as a requirement for applying to the post of a Scientist / Engineer.
