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, Divergence 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.
Section 2: Electric circuits Network elements:
Ideal voltage and current sources, dependent
sources, R, L, C, M elements; Network solution methods: KCL, KVL, Node and Mesh
analysis; Network Theorems: Thevenin’s, Norton’s, Superposition and Maximum
Power Transfer theorem; Transient response of dc and ac networks, sinusoidal
steady-state analysis, resonance, two port networks, balanced three phase
circuits, star-delta transformation, complex 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, Biot-Savart’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 properties, linear time invariant and causal
systems, Fourier series representation of continuous and discrete time periodic
signals, sampling theorem, Applications of Fourier Transform for continuous and
discrete time signals, Laplace Transform and Z transform. R.M.S. value, average
value calculation for any general periodic waveform
Section
5: Electrical Machines
Single phase transformer: equivalent circuit,
phasor diagram, open circuit and short circuit tests, regulation and
efficiency; Three-phase transformers: connections, vector groups, parallel
operation; Auto-transformer, Electromechanical energy conversion principles; DC
machines: separately excited, series and shunt, motoring and generating mode of
operation and their characteristics, speed control of dc motors; Three-phase
induction machines: 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 and
characteristics, regulation and parallel operation of generators, starting of
synchronous motors; Types of losses and efficiency calculations of electric
machines
Section 6: Power Systems
Basic concepts of electrical power generation,
ac and dc transmission concepts, Models and performance of transmission lines
and cables, Economic Load Dispatch (with and without considering transmission
losses), 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 over-current, differential,
directional 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,
Stability analysis using Routh-Hurwitz and Nyquist criteria, Bode plots, Root
loci, Lag, Lead and Lead-Lag compensators; P, PI and PID controllers; State
space model, Solution of state equations of LTI systems
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
Simple
diode circuits: clipping, clamping, rectifiers; Amplifiers: biasing, equivalent
circuit and frequency response; oscillators and feedback amplifiers;
operational amplifiers: characteristics and applications; single stage active
filters, Active Filters: Sallen Key, Butterwoth, VCOs and timers, combinatorial
and sequential logic circuits, multiplexers, demultiplexers, Schmitt triggers,
sample and hold circuits, A/D and D/A converters. Section 10: Power Electronics
Static V-I characteristics and firing/gating circuits for Thyristor, MOSFET,
IGBT; DC to DC conversion: Buck, Boost and Buck-Boost Converters; Single and
three-phase configuration of uncontrolled rectifiers; Voltage and Current
commutated Thyristor based converters; Bidirectional ac to dc voltage source
converters; Magnitude and Phase of line current harmonics for uncontrolled and
thyristor based converters; Power factor and Distortion Factor of ac to dc
converters; Single-phase and three-phase voltage and current source inverters,
sinusoidal pulse width modulation.