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2018 Syllabus for Electrical Engineering (EE)
ENGINEERING
MATHEMATICS
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; autotransformer; 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.
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