Electrical Engineering Semester 4 Syllabus


Electrical Engineering Semester 4 Syllabus

Applied Mathematics IV
Calculus of variation 10
1.1 Euler Langrange equation, solution of Euler’s Langrange equation (only results for
different cases for function) independent of a variable, independent of another
variable, independent of differentiation of a variable and independent of both
variables
1.2 Isoperimetric problems, several dependent variables
1.3 Functions involving higher order derivatives: Rayleigh-Ritz method
2.0 Linear algebra: vector spaces 12
2.1 Vectors in n-dimensional vector space: Properties, dot product, cross product,
norm and distance properties in n-dimensional vector space.
2.2 Metric spaces, vector spaces over real field, properties of vector spaces over real
field, subspaces.
2.3 Norms and normed vector spaces
2.4 Inner products and inner product spaces
2.5 The Cauchy-Schwarz inequality, orthogonal Subspaces, Gram-Schmidt process
3.0 Linear Algebra: Matrix Theory 15
3.1 Characteristic equation, Eigenvalues and Eigenvectors, properties of Eigenvalues
and Eigenvectors
3.2 Cayley-Hamilton theorem, examples based on verification of Cayley-Hamilton
theorem
3.3 Similarity of matrices, Diagonalisation of matrix
3.4 Functions of square matrix, derogatory and non-derogatory matrices
3.5 Quadratic forms over real field, reduction of quadratic form to a diagonal
canonical form, rank, index, signature of quadratic form, Sylvester’s law of
inertia, value-class of a quadratic form of definite, semi- definite and indefinite Singular Value Decomposition
4.0 Complex variables: Integration 15
4.1 Complex Integration: Line Integral, Cauchy’s Integral theorem for simply
connected regions, Cauchy’s Integral formula
4.2 Taylor’s and Laurent’s series Zeros, singularities, poles of f(z), residues, Cauchy’s Residue theorem
4.4 Applications of Residue theorem to evaluate real Integrals of different types
Text books:
1) A Text Book of Applied Mathematics Vol. I & II by P.N.Wartilar & J.N.Wartikar, Pune,
Vidyarthi Griha Prakashan., Pune
2) Mathematical Methods in science and Engineering, A Datta (2012)
3) Higher Engg. Mathematics by Dr. B.S. Grewal, Khanna Publication
Internal Assessment (IA):
Two tests must be conducted which should cover at least 80% of syllabus. The average marks of
both the tests will be considered for final Internal Assessment.
End Semester Examination:
1. Question paper will comprise of 6 questions, each carrying 20 marks.
2. The students need to solve total 4 questions.
3: Question No.1 will be compulsory and based on entire syllabus.
4: Remaining question (Q.2 to Q.6) will be selected from all the modules.
Elements of Power System (abbreviated as EPS)
Introduction:Typical AC supply system, comparison between
DC and AC supply system, choice of working voltage for
transmission and distributionTransmission line parameters
Resistance:
Resistance, skin effect and proximity effect
Inductance
Definition of inductance, inductance of single phase two wire
line, conductor types, bundled conductors. Inductance of
composite conductor, single circuit three phase line, double
circuit three phase line Capacitance
Potential difference between two conductors of a group of
parallel conductors, capacitance of a two wire line, three phase
line with equilateral spacing, three phase line with
unsymmetrical spacing earth effect on transmission line
capacitance, bundled conductors, method of GMD

Performance of transmission line
Representation of power system components
Single phase solution of balanced three phase networks. One line
diagram, impedance and reactance diagram. Per unit (p.u.)
system, per unit impedance diagram, representation of loads
Transmission line model
Short, medium, and long line model. Equivalent circuit of a long
line. Ferranti effect. Tuned power lines, surge impedance
loading, power flow through transmission lines (Numerical
compulsory)

Overhead Transmission Line
Mechanical design of transmission line
Components of overhead lines, types of towers- A type, B type,
C type, D type and double circuit tower, cross arms, conductor
configuration, spacing and clearance span lengths, sag and
tension (Numerical compulsory)
Overhead line Insulators
Types of insulators. String efficiency, methods of equalizing
potential (Numerical compulsory) Underground Cable
General construction, types of cable- PVC insulated, XLPE,
Paper impregnated, mineral insulated, insulation resistance of
single core cable, capacitance of single core cable, grading of
cable, selection of cable,
Comparison between overhead line transmission with
underground cabling system

Grounding and safety techniques
Measurement of earth resistance. Soil resistivity, tolerable limits
of body currents, tolerable step and touch voltage, actual step
and touch voltage, measurement of tower footing resistance,
counterpoise methods of neutral grounding, grounding practices

Assessment:
Internal Assessment consists of two tests out of which; one should be compulsory class test
(on minimum 02 Modules) and the other is either a class test or assignment on live problems
or course project.
Books Recommended:
Text Books:
1. Wadhwa C.L. ‘Electrical power system’, New Age International,4th edition,2005
2. J B. Gupta, ‘A Course In Power Systems’, S. K. Kataria & Sons, 2009
3. Soni M.L., Bhatanagar U.S, Gupta P.V, ‘A course in electrical power’, Dhampat Rai
and Sons., 1987
4. D. P. Kothari, I. J. Nagrath, ‘Modern Power System Analysis’, Mc Graw Hill
5. B.R. Gupta, ‘Power System Analysis And Design’, S.Chand
Term work:
Term work shall consist of minimum eight combination of experiments, tutorials and
simulations (minimum two) , assignments(min two)
The distribution of marks for term work shall be as follows:
Laboratory work (Experiment/ programs and journal) :10 marks
Assignments : 10 marks
Attendance (Theory and Practical) : 05 marks
Theory Examination:
1. Question paper will comprise of 6 questions, each carrying 20 marks.
2. Total four questions need to be solved.
3: Q.1 will be compulsory, based on entire syllabus wherein sub questions of 2 to 5
marks will be asked.
4: Remaining question will be randomly selected from all the modules.

 

Electrical Machines- I (abbreviated as EMC-I)
Basics of Magnetism
Magnetic field, Magnetic circuit, Numerical from series parallel
magnetic circuit, Flux linkage, Inductance and energy, Faraday’s laws,
Hysteresis and eddy current losses.Electromechanical Energy Conversion
Principle, Energy stored in magnetic field, Torque in singly excited
magnetic field, Reluctance motor, Doubly excited magnetic field,
Torque from energy and Co- energy. Dynamic equations DC Machines
Construction of machine, Armature winding, Principle of operation,
MMF and flux density waveforms, Significance of commutator and
brushes in DC machine, EMF and Torque equation, Methods of
excitations, Armature reaction, Methods to minimize the effect of
armature reaction, Process of commutation, Methods to improve
commutation.

DC Motors
Characteristics of DC Motors, Concept of braking of DC separately
excited motors (Rheostatic, Regenerative and plugging). Starters for
shunt and series motors, Design of grading of resistance for starter,
Speed Control, Losses and efficiency, Applications of DC motor.

Testing of DC Motors
Retardation, Brake load, Swinburne, Hopkinson’s, Field test.

Transformer – Single Phase
Review of EMF equation, Equivalent Circuit and Phasor diagram of
Transformer.
Voltage Regulation of Transformer: – Voltage Regulation, Condition
for Zero Voltage Regulation, Condition for Maximum Voltage
Regulation.
Transformer Losses and Efficiency – Losses, Efficiency, Condition for
Maximum Efficiency, Energy Efficiency, All day Efficiency,
Separation of Hysteresis and Eddy current losses
Testing of Transformer: – Polarity Test, Load Test, Review of OC and
SC test, Sumpner’s Test, Impulse test.
Autotransformer:- Autotransformer Working, Advantages of
Autotransformer over Two winding Transformer, Disadvantages
Parallel Operation: No load Operation, On load Operation:- Equal
Voltage Operation and Unequal Voltage Operation
Introduction to High Frequency Transformer, Pulse Transformer,
Isolation Transformer and its applications

Assessment:
Internal Assessment consists of two tests out of which; one should be compulsory class test
(on minimum 02 Modules) and the other is either a class test or assignment on live problems
or course project.
Books Recommended:
Text Books:
1. Bimbhra P.S., Electric Machinery , Khanna Publisher,
2. Bimbhra P.S., Generalized Machine Theory, Khanna Publisher,
3. Kothari D.P, Nagrath I.J., Electric Machines, TMH Publishcations
4. A.E. Fitzgerald, Kingsly, Stephen., Electric Machinery, Tata McGraw Hill
5. Umanand L, Bhat S.R., “Design of Magnetic Components for Switched mode
Power Converters”, Wiley Eastern Ltd.
Term work:
Term work shall consist of minimum eight experiments, assignments (min two)
The distribution of marks for term work shall be as follows:
Laboratory work (Experiments) : 10 marks
Assignments : 10 marks
Attendance (Theory and Practical) : 05 marks
Theory Examination:
1. Question paper will comprise of 6 questions, each carrying 20 marks.
2. Total four questions need to be solved.
3: Q.1 will be compulsory, based on entire syllabus wherein sub questions of 2 to 5
marks will be asked.
4: Remaining question will be randomly selected from all the modules.
Signal Processing (abbreviated as SP)
-Definition and classification of signals and systems
-Sampling process and Sampling Theorem (derivation not
included)
-Operations on signals (Continuous and Discrete Time)
-Convolution (Continuous and Discrete Time)

-Fourier Series , Power spectrum, Power spectral density
-Fourier Transform, Energy spectrum, Energy spectral density -Z-Transform (single & double sided), ROC determination
-Properties of Z-Transform
-Inverse Z-Transform-Solution of difference equation
-Magnitude and phase response of LTI system
-Pole-zero diagram

Frequency Domain Analysis of DT systems:-
– Domain analysis using analytical and graphical technique
– System classification based on pass band
– System classification based on phase response and location of
zeros as minimum phase, maximum phase mixed phase

-DTFT (Discrete time Fourier Transform)
-DFT
-DFT properties
-FFT (redix-2, DIT)

Assessment:
Internal Assessment consists of two tests out of which; one should be compulsory class test
(on minimum 02 Modules) and the other is either a class test or assignment on live problems
or course project.
Books Recommended:
Text Books:
1. Salivahan S., “Digital Signal Processing”, TMH Publication,2001.
2. Oppenhein & Schafer, “Discrete Time Signal Processing”, PHI Publication 1989.
3. Haykin S and Van Veen B., “Signal & Systems”, Wiley Publication, 2nd Ed.
4. Linder D.K., “Introduction to Signal & Systems”, McGraw Hill International,1999.
Term work:
Term work shall consist of minimum six experiments/six simulations/combination of
experiments and simulations, tutorials , assignments(min two)
The distribution of marks for term work shall be as follows:
Laboratory work (Experiment/ programs and journal) :10 marks
Assignments : 10 marks
Attendance (Theory and Practical) : 05 marks
Theory Examination:
1. Question paper will comprise of 6 questions, each carrying 20 marks.
2. Total four questions need to be solved.
3: Q.1 will be compulsory, based on entire syllabus wherein sub questions of 2 to 5
marks will be asked.
4: Remaining question will be randomly selected from all the modules.
Analog and Digital Integrated Circuits
(abbreviated as ADIC)
Operational Amplifiers: Fundamentals
Basics of an Op-amp, Op-amp parameters, Frequency response 03Application of Operational Amplifiers
Voltage follower, design of inverting and non- inverting amp, adder,
subtractor, integrator and differentiator, V to I and I to V converter,
precision rectifier, Schmitt trigger, sample and hold circuits, clipping and
clamping, active filters: LP, HP and BP, Instrumentation amplifier,
Optical isolation amplfier
Linear Voltage Regulators – IC -78xx, 79xx, LM 317. Design of
adjustable voltage source using IC- LM317, Low Dropout (LDO) voltage regulator IC – 555 – functional block diagram, Application of IC555 – Design of
Multivibrator (Monostable and Astable), VCO

Analog-to-Digital converter (ADC) – Characteristics and types of ADC
– i) Successive approximation, ii) Flash ADC, iii) Dual slope, Serial ADC
Basics of Digital to Analog converter (DAC)

Logic families :
Review of Number formats: Binary, hexadecimal, BCD and their basic
math operations like addition and subtraction
Introduction to Logic gates and Boolean Algebra
Specifications of Digital IC, Logic Families: TTL, TTL variant families:
like standard, LS, HS, Tristate gate, CMOS logic, Comparison of logic
families, Interfacing of TTL and CMOS different families.

Combinational Logic Circuit:
K-Maps and their use in specifying Boolean expressions upto 4 variables,
Minterm, Maxterm, SOP and POS implementation Implementing logic
function using universal gates, Binary Arithmetic circuits: Adders,
Subtractors (Half and Full), BCD adder – Subtractor, Carry look ahead
adder, Serial adder, Multiplier Magnitude comparators, Designing code
converter circuit e.g binary to gray, BCD to Seven segment parity
generator, Arithmetic Logic units. Multiplexer (ULM), Shannon’s
theorem, De- multiplexers, Designing using ULMS. Hazards in
combinational circuits.

Sequential Logic Circuits :
Comparison of combinational & sequential circuit
Flip-flops:SR, T, D, JK, Master Slave JK, Converting one flip-flop to
another, Use of debounce switch
Counters: Modulus of counter, Design of Synchronous, Asynchronous
counters, Ripple counters, Up/Down Counter, Ring counter, Johnson
counter, Sequence generator. Unused states and locked conditions.
Shift Registers

Assessment:
Internal Assessment consists of two tests out of which; one should be compulsory class test
(on minimum 02 Modules) and the other is either a class test or assignment on live problems
or course project.
Books Recommended:
Text Books:
1. Gayakwad Ramakant A, Op-amps and Linear Integrated Circuits, Prentice Hall PTR,
2. Boatkar K. R., “Integrated Circuits”, Khanna Publication.
3. D. Roy Choudhury, Shali B Jain, “Linear Integrated Circuits” New Age International
Publication.
4. Millman and Halkias, ‘Integrated Electronics’, Tata McGraw Hill,
5. A. Anand Kumar, “Fundamentals of Digital Circuits”, PHI-2009
6. Jain R.P., “Modern Digitals Electronics”, Tata McGraw Hill, 1984.
7. Roger L. Tokheim, “Digital Electronics”, Tata McGraw Hill
Term work:
Term work shall consist of minimum eight experiments, assignments (min two)
The distribution of marks for term work shall be as follows:
Laboratory work (Experiments) : 10 marks
Assignments : 10 marks
Attendance (Theory and Practical) : 05 marks
Theory Examination:
1. Question paper will comprise of 6 questions, each carrying 20 marks.
2. Total four questions need to be solved.
3: Q.1 will be compulsory, based on entire syllabus wherein sub questions of 2 to 5 marks will
be asked.
4: Remaining question will be randomly selected from all the modules.
Numerical Methods and Optimization Techniques
(abbreviated as NMOT)
Error Analysis: Types, estimation, error propagation.2 Roots of equation: Bracketing Methods- The bisection method,
the false-position method, Open methods-The Newton-Raphson
method, The secant method, Systems of Nonlinear Equations-
Newton Raphson method. Application for the design of an
electric circuit.
Linear Algebraic Equations: LU Decomposition, Solution of
currents and voltages in Resistor circuits.

3 Curve Fitting: Interpolation with Newton’s divided- difference
interpolating polynomials, Lagrange interpolating polynomials,
Coefficients of interpolating polynomials, Inverse interpolation,
curve fitting with sinusoidal functions.

4 Solution of ordinary differential equation: Predictor –corrector
methods, Milne’s method, Adams-Bashforth method, solution of
simultaneous first order & second order differential equations by
Picard’s and Runge-Kutta methods. Simulating transient current
for an electric circuit.

One dimensional unconstrained Optimization: Golden-section
search, quadratic interpolation, Newton’s method Constrained Optimization: Introduction of L.P.P., Formulation
of the L.P.P., Canonical and Standard forms of L.P.P., solution
of L.P.P. by Graphical Method, Introduction to Simplex Method,
General Linear Programming Problem, Procedure of simplex
method.
Non-linear programming: Introduction, Single variable
optimization, Multivariable optimization with equality
constraint-Lagrange’s method, Multivariable optimization with
non-equality constraint- Kuhn-Tucker conditions

Assessment:
Internal Assessment consists of two tests out of which; one should be compulsory class test
(on minimum 02 Modules) and the other is either a class test or assignment on live problems
or course project.
Books Recommended:
Text Books:
1. Chapra Seven C, Canale R P , Numerical Methods for Engineers, Tata McGraw Hill.
2. Schilling, Robert J.,Numerical Methods for Engineers (using MATLAB and C).
Thomson Asia Pvt. Ltd.
3. Nita H. Shah ‘Numerical Methods With C++ Programming’ PHI learning Ltd.
4. S. S. Rao, ‘Engineering Optimization’, New Age International Publishers.
Term work:
Term work shall consist of minimum four tutorials and simulations/
programs(minimum four) and assignments(min two)
The distribution of marks for term work shall be as follows:
Laboratory work (Tutorials/ programs): 10 marks
Assignments: 10 marks
Attendance (Theory and Practical): 05 marks
Theory Examination:
1. Question paper will comprise of 6 questions, each carrying 20 marks.
2. Total four questions need to be solved.
3: Q.1 will be compulsory, based on entire syllabus wherein sub questions of 2 to 5 marks will
be asked.
4: Remaining question will be randomly selected from all the modules.
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