Syllabus of Ph. D. (Engg.) Admission Test (From Electrical Engineering Department)
Syllabus of Ph. D. (Engg.) Admission Test (From Electrical Engineering Department)
Syllabus of Ph. D. (Engg.) Admission Test (From Electrical Engineering Department)
) Admission Test
(From Electrical Engineering Department)
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, z‐Transform.
Electrical Materials
Electrical Engineering Materials, crystal structures and defects, ceramic materials, insulating
materials, magnetic materials – basics, properties and applications; ferrities, ferro-magnetic
materials and components; basics of solid state physics, conductors; Photo-conductivity; Basics
of Nano materials and Superconductors.
1
Syllabus of Ph. D. (Engg.) Admission Test
(From Electrical Engineering Department)
Electric Circuits
Network graph, KCL, KVL, Node and Mesh analysis, Transient response of dc and ac networks,
Sinusoidal steady‐state analysis, 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.
Field Theory
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.
Computer Fundamentals
Number systems, Boolean algebra, arithmetic functions, Basic Architecture, Central Processing
Unit, I/O and Memory Organisation; peripheral devices, data represenation and programming,
basics of Operating system and networking, virtual memory, file systems; Elements of
Programming languages, typical examples.
2
Syllabus of Ph. D. (Engg.) Admission Test
(From Electrical Engineering Department)
Control Systems
Mathematical modeling and representation of systems, Principles of feedback, transfer function,
block diagrams and signal flow graphs, steady-state errors, transforms and their applications;
Routh-hurwitz criterion, Nyquist techniques, Bode plots, root loci, lag, lead and lead-lag
compensation, stability analysis, transient and frequency response analysis, state space model,
state transition matrix, controllability and observability, linear state variable feedback, PID and
industrial controllers.
3
Syllabus of Ph. D. (Engg.) Admission Test
(From Electrical Engineering Department)
Electrical Machines
Transformers– equivalent circuit, phasor diagram, parallel operation, auto-transformer, DC
machines – types, characteristics, armature reaction and commutation, starting and speed control
of motors, Induction motors – principles, types, performance characteristics, starting and speed
control, Synchronous machines – performance, servo and stepper motors.
Power Systems
Basic power generation concepts, steam, gas and water turbines, corona and radio interference,
power factor correction, symmetrical components, fault analysis, principles of protection
systems, basics of solid state relays and digital protection; Circuit breakers, Radial and ring-main
distribution systems, Matrix representation of power systems, load flow analysis, voltage control
and economic operation, System stability concepts, Swing curves and equal area criterion.
HVDC transmission and FACTS concepts, Concepts of power system dynamics, distributed
generation, solar and wind power, smart grid concepts, environmental implications.
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.
Illumination Engineering
Fundamentals of Light-radiation and vision, quantities, units, standards and measurement.
General classification of lamps: Incandescent, TL, CFL , white LEDs and HID lamps, basic
principles of their operation. Laws of illumination.
Elementary Lighting Design- Definitions of design parameters. Basic luminaires classification
and their distribution characteristics. Lighting calculations for indoor applications.
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Syllabus of Ph. D. (Engg.) Admission Test
(From Electrical Engineering Department)
Lighting circuits for various lamps, Emergency lighting and Standby power sources.
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1. Introduction to Research Methodology: motivation, objectives and goal, criterion of good research,
research psychology.
2. Defining research problem: importance of defining research problem, industrial research problems
and academic research problems, ways to define a research problem.
3. Research planning, features of good research planning.
4. Stages of practical experimentation; Design of experiments.
5. Measurement and data acquisition in research, importance of appropriate and meaningful data
acquisition, selection of appropriate measuring instruments in research, errors in measurements,
6. Literature survey: importance of literature survey in research, selection of good references, survey
papers.
7. Data analysis and statistical methods, interpretation of graphs and charts.
8. Engineering simulation: importance of simulation in research, simulation tools, basic building blocks
of simulation studies.
9. Thesis organization: structure of a thesis, figures and illustrations, tables and charts, contents, index,
thesis style.
10. Organization of technical papers; organization of reference; reference Style.
Reference:
C.R. Kothari, Research Methodology: Methods & Techniques, New Age International Publishers, 2004.