SEMESTER: THIRD

3EP01/3EX01/3EL01/3EE 01 MATHEMATICS-III

**UNIT-I: **Ordinary differential equations:- Completer solution, Operator D,Rules for finding complementary function, the inverse oprator, Rules for finding the particular integral, Method of variations of parameters, Cauchy’s and Legendre’s linear differential equations. Simultaneous linear differential equations with constant co-efficient, Applications to electrical circuits.

**UNIT-II :** Laplace transforms: definition, standard forms, properties of Laplace transform, inverse Laplace transform, initial and final value theorem, Convolution theorem, Laplace transform of impulse function, Unit step function, Laplace transforms of periodic function.

**UNIT-III : **

a) Application of L.T. to linear differential equations with constant coefficients & Simultaneous linear differential equations.

b) Fourier transforms- Definition, standard forms, inverse Fourier transform, Properties of Fourier transforms, Convolution theorem, Fourier sine and Fourier cosine transforms and integrals.

**UNIT-IV :**

a) Difference equation:- solution of difference equations of first order, Solution of difference equations of higher order with constant co-efficients.

b) Z-transform: Definition, standard forms, Z-transform of impulse function, Unit step functions, Properties of Ztransforms (Linearity, shifting, multiplication by k, change of scale), initial and final values, inverse Z-transforms (by direct division and partial fraction), Solution of difference equation by Z-transforms.

**UNIT-V :** Vector calculus: Scalar and vector point functions, Differentiation of vectors, Curves in space,Gradient of a scalar point function, and their physical meaning, expansion formulae (without proof).

**UNIT-VI :** Line,surface,volume integrals, irrotational and solenoidal vector fields, Stoke’s and Divergence theorem (without proof).

1) Advanced Engineering Mathematics, 3 edi – Potter, OxfordUniversity Press, 2008

2) Mathematical Techniques – Jordan and Smith 4/e – Oxford University Press, 2008

3) A Mathematical Companion for Science and Engineering Students – Brettenbach, Oxford University Press, 2008

4) Elements of Applied Mathematics by P.N.Wartikar and J.N.Wartikar

5) Advancing Engg. Mathematics by E.K.Kreyzig

**Unit I :**

a] Terminal Element Relationships: V-I relationship for Inductance and Capacitance- Constant Flux Linkage Theorem and Constant Charge Theorem- v-i relationship for Independent Voltage and Current Sources - v-i relationship for dependent voltage and current sources- Source Functions: unit impulse, unit step, unit ramp and inter relationship, sinusoidal input ,generalized exponential input.

b] Basic Nodal and mesh Analysis: Introduction, Nodal analysis, the super node, mesh analysis, the super mesh, nodal vs mesh analysis.

**Unit II : **Network Theorems : Linearity and superposition, source transformations, Thevinin’s theorem , Norton’s theorem, Maximum power transfer theorem, Delta-wye transformations Reciprocity theorem, Milliman’s theorem, Substitution theorem, Compensation theorem, Tellegen’s theorems.

**Unit III : **Time Domain Analysis of Circuits: Linear Differential Equations for Series RC, Parallel RC, Series RL, Parallel RL, Series RLC, Parallel RLC and Coupled Circuits-Complete Solution for step/impulse/sinusoid voltage/current inputs- Natural Response-Transient Response-Time Constant-Rise and Fall times-Concept of d.c steady state and sinusoidal steady state-Frequency Response of simple circuits from steady state solution-Solution of two mesh circuits by differential equation method-Determination of initial conditions.

**Unit IV :**

a] Review of Laplace Transforms: Laplace Transform-Transform Pairs-Gate Functions-Shifting Theorem-Solution of Differential Equations by Laplace Transforms-Initial and Final Value Theorems-Laplace Transforms of periodic signals- Inversion of transforms by partial fractions-Convolution Theorem and Convolution Integral. (Review to be done by students. No class hour will be spent for this review.)

b] Transformation of a Circuit into s-domain: Transformed equivalent of inductance, capacitance and mutual inductance -Impedance and admittance in the transform domain – Node Analysis and Mesh Analysis of the transformed circuit - Nodal Admittance Matrix and Mesh Impedance Matrix in the s-domain - Solution of transformed circuits including mutually coupled circuits-Input and transfer immittance functions - Transfer functions - Impulse response and Transfer function - Poles and Zeros - Pole Zero plots.

**Unit V :**

a] Sinusoidal Steady State analysis: Introduction, characteristics of sinusoids, forced response to sinusoidal functions, the complex forcing function, The phasor, phasor relationships for R L C, impedance and admittance , sinusoidal steady state analysis with phasors.

b] Fourier Series: Fourier Series representation of nonsinusoidal periodic waveforms - Fourier Coefficients- Determination of Coefficients-Waveform Symmetry- Exponential Fourier Series-Discrete Amplitude and Phase Spectra-Steady State Solution of Circuits with non-sinusoidal periodic inputs by Fourier Series.

**Unit VI :** Two Port Networks: two port networks-characterizations in terms of impedance, admittance, hybrid and transmission parameters-inter relationships among parameter sets- Reciprocity Theorem-Interconnection of Two port networks: Series, Parallel and Cascade - Network Functions-Pole Zero plots and steady state response from pole-zero plots.

1) Engineering Circuit Analysis 6/e By Hayt & Kemmerly TataMcgraw Hill 2004

2) Network Analysis, By M.E. Van Valkenberg PHI 2005

3) Electrical Linear Circuits – David Bell Oxford University Press 2008

4) Linear Circuit Analysis 2/e – DeCarlo and Lin Oxford University Press 2009

5) Network Analysis, P.Ramesh babu, SCITECH Publications,Chennai 2009

6) Circuit and Network Analysis By Sudhakar Shyammohan Tata Mc Graw Hill 2005

7) Circuits & Networks – Analysis, Design & Synthesis by M.S.Sukhija,T.K.Nagasarkar, Oxford University Press, 2010

**Unit I :** Thermal and Hydro Power plant: Selection of site, working of various parts: Economizer, air preheater, condenser, cooling tower, coal handling system, ash handling system, Classification of hydro power plant according to available head, nature of load, functions of different components and their working.

**Unit II :** Nuclear and Diesel Power plant: Methods of producing nuclear reactions, functions of different components of nuclear plant, functions of different components of diesel plant

**Unit III :** Solar Energy and its measurement: Solar constants, solar radiation at earth’s surface, solar radiation geometry, solar radiation measurement, estimation of average solar radiation, solar radiation on tilted surface, principle of solar energy conversion in to heat, flat plate collectors, energy balance equation and collector efficiency

**Unit IV : **

a] Fuel cells: Chemistry applied to fuel cells, principle and operation ,classification and types of fuel cells, performance characteristics of fuel cells, classification of fuel cells system

b] Wind Energy: Basic principle of wind energy conversion, wind data and energy estimation, selection of site, basic components of wind energy conversion system (WECS), classification of WEC systems, generating system, energy 38 39 storage, application of wind energy.

**Unit V : **Ocean and tidal energy: Ocean energy resources, ocean energy routes, ocean thermal energy conversion, progressive wave, wave data collection, Basic principle of tidal power, components of tidal power plants, operation methods of utilization of tidal energy, estimation of power and energy in simple single basin tidal system

**Unit VI :** Other non- conventional energy resources: Operating principle of energy from biomass, energy from biogas, geothermal energy, MHD power generation, energy from urban and rural waste, mini and micro hydroelectric power generation, principle and operation of fuel cells, classification and types of fuel cells, performance characteristics of fuel cells.

1) Energy Science, Principles Technologies & Impacts, John Andrews& Nick Jelley, Oxford University Press, 2009

2) Renewable Energy – Power for Sustainable Future, Godfrey Boyle,Oxford University Press, 2004

3) Conventional Energy Technology By S.B.Pandya, Tata McGrawHill,2005

4) Non Conventional Energy Resources By G.D.Rai, Khanna Publishers, 2001

5) Energy and Atmosphere By I.M.Campbell, Wiley, New York, 2006

6) Solar Energy By S.P.Sukhatme, Tata Mc-GrawHill, 2006

7) Conventional Energy Resourses By B.H.Khan, Tata McGrawHill,2003

Any TEN experiments based on contents of 3 EP02 NETWORK ANALYSIS

3 EP07/3EX07/3EL07/3EE 07 ELECTRONIC DEVICES AND CIRCUITS LAB

Any TEN experiments based on contents of 3 EP04 ELECTRONIC DEVICES AND CIRCUITS

3 EP08/3EX08/3EL08/3EE 08 ELECTRICAL MEASUREMENT AND INSTRUMENTATION LAB

Any TEN experiments based on contents of 3 EP05ELECTRICAL MEASUREMENT AND INSTRUMENTATION

3 EP04/3EX04/3EL04/3EE 04 ELECTRONIC DEVICES AND CIRCUITS

**UNIT-I :** P-N Junction diode theory, Rectifiers - Half wave, full wave and bridge rectifier. Filters-C, LC and their analysis, Zener diode and its applications.

**UNIT-II : **Theory and Analysis of Bipolar Junction transistor, ‘H’ Parameter, methods of biasing, their needs, ‘Q’ and stability factors, compensation techniques.

**UNIT-III **Study of typical transistor amplifier circuits

i) Emitter follower,

ii) Darlington emitter follower.

iii) Bootstrap emitter follower,

iv) RC coupled amplifier,

v) Transformer coupled amplifier,

vi) Cascaded amplifier,

vii) Direct coupled amplifier,

viii) Cascade stage.

**UNIT-IV :** Class ‘A’ ‘B’ ‘AB’ and ‘C’ amplifiers, configuration of audio amplifiers, Calculations of power gain, efficiency, dissipation and distortion, oscillators, their criteria, Hartley, Collpit and R-C oscillators, Crystal oscillator.

**UNIT-V :** Theory, construction and applications of Schottky diode,Tunnel diode, Varactor diode, Selenium diode, LED, Photo diode, PIN diode, photo-transistor.

**UNIT-VI : **FETs (JFET & MOSFET) : Types, Characteristics and parameters (u, gm & Rds),Applications of FET amplifiers, UJT: Characteristics, working, UJT as relaxation oscillator.

1) Millman’s Electronic Devices & Circuits by J.Millman, C.Halkias,Satyabrata Jit TMH 3rd ed, 2nd reprint 2011

2) Electronic Devices and Circuits 5/e – David Bell Oxford University Press

3) Microelectronic Circuits 5/3 – Sedra nad Smith Oxford University Press

4) Boylestad R. and “Electronics Devices & Circuits”, Prentice Hall of India Private Limited, New Delhi (Fifth Edition), 1993

**Unit I :** Measuring Instruments: Classification, deflecting, controlling, damping, breaking torques. Basic principles of operation of Ammeter & Voltmeter: PMMC, MI, Electro dynamic, Electrostatic: construction, Principle of operation, torque equation, Scale shape, errors, merits & demerits of each type.

**Unit II : **Watt meters & Energy meters: Electro dynamic & Induction type: construction, theory of operation, torque equation, errors & demerits, Electronic energy meter. Analysis of three phase balanced load, Blondel’s Theorem, Measurement of active & reactive power & energy in single phase & three phase circuits.

**Unit III : **

a] Instrument Transformer: Need of extension of range: extension using shunt & multipliers Instrument transformers: 40 41 CT & PT, Theory & construction, Phasor diagram, Ratio & Phase angle error, causes of error, applications Hall effect sensors for voltage and current measurement.

b] Special Measuring Instruments :- Maximum demand indicator, Trivector meter, Frequency meter, P.F. meter, Phase sequence indicator, Synchroscope, stroboscope, potentiometers.

Unit IV : Measurement of circuit parameters: Different methods of measurement of low, medium & high value of resistance, sensitivity & accuracy of different methods. AC & DC bridges : Wheatstone, Kelvin, Maxwell, Wein, Hay, Desauty, Anderson, Schearing

Unit V : Generalized instrumentation system , characteristics of measurement & instrumentation system Transducers : Definition, classification, specification, selection & loading effect, Displacement, Velocity, force, & Torque transducers, Resistive, Inductive, capacitive, Strain gauge, Piezoelectric, current & voltage transducers.

Unit VI : Transducers for pressure & temperature: Manometer, Elastic members (Bellows, Bourdon tube, Diaphragm), RTD, Thermocouple, Thermister, Infrared & Crystal Cathode ray oscilloscope: Time, frequency & phase angle measurement using CRO. Spectrum & Wave analyzer.

**Recomended Book:**

1) Electronic Measurement & Instrumentation by Oliver – cage,TMH 4th reprint 2010

2) Electronic Instrumentation by H.S Kalsi, TMH 3rd edition, 2nd reprint 2011

3) Instrumentation for scientists and Engineers – Turner Oxford University Press 2008

4) Electronic Instrumentation & Measurement , David Bell Oxford University Press 2nd Ed

5) A course in Electrical, Electronics measurement and Instrumentation, By A.K.Sawhney Dhanpat Rai & sons 2006

6) Electrical measurement and measuring Instruments By Golding Wheeler Publishing 2003

7) Electronic measurement and measuring Instruments By Coo

SEMESTER: FOURTH

4EP01/4EX01/4EL01/4EE 01 ELECTRICAL MACHINES-I

**SECTION-A**

Unit I : D.C. Machines Construction, principle of operation, Emf equation, torque equation. Armature winding – Lap, wave, single layer, double layer. Armature reaction and commutation, method of improving commutation.

Unit II : D.C. Generators. Types, characteristics and applications of d.c. shunt, series and compound generators. Parallel operation of d.c. shunt, series and compound generators. Introduction for conducting and reporting the test on d.c. machines as per Indian standard.

Unit III: D.C. Motors Characteristics, applications of d.c. shunt, series and compound motors, starting and speed control, losses, efficiency and testing

**SECTION-B**

Unit IV: Single phase Transformer. Heat run test, separation of core losses in to its component, parallel operation, equivalent circuit. Autotransformer - construction, working, merits, demerits and application. Introduction for conducting and reporting the test on transformer as per Indian standard.

Unit V: Three phase Transformer: Construction, working, types, connections, applications, testing, parallel operation, open delta, power transformer, distribution transformer construction.

Unit VI: Three phase to single phase, two phase, six phase, twelve phase conversion. Three-winding transformer and tap

**BOOKS RECOMMENDED:-**

1) Electrical Machines by D.P.Kothari, I.J.nagrath TMH 4th edition, 2nd reprint 2011

2) ELECTRIC MACHINERY and Transformer, 3E – Bhag S Guru Oxford University Press 3) Advance Electrical Technology By H.Cooton. 1999

4) Substation Equipment By Satnam and Gupta 2003 .

4EP02/4EX02/4EL02/4EE 02 ELECTROMAGNETIC THEORY

**SECTION-A**

Unit I : Review of Vector Analysis :cartesian, cylindrical and spherical co-ordinate systems, vector algebra and vector calculas. Line integral and multiple integrals. Gauss theorem.

Unit II : Electrostatics : Coulomb’s law, electric field, Gauss flux theorem in integral and differential form. Electrostatics potential, Poison and Laplace equations.

Unit III: Electrostatics fields in dielectrics : electric dipole, polarization. P and D vectors, boundary conditions. Capacitance and electrical energy.

SECTION-B

Unit IV: Magnetic fields : Biot-Stewart law, Ampere’s law in integral and differential form. Contunuity equation, time of relaxation. Vector and Scaler magnetic potential, electric current, J vector.

Unit V : Magnetic fields in materials : magnetic dipole equivalent volume and plane section curve. H vector, magnetization vector M, boundary conditions between magnetic materials, inductance, Electromagnetic Energy.

Unit VI: Maxwell equations and wave equations : Displacement current, time varying fields and Maxwell’s equations, plane uniform magnetic waves. Depth of penetration pointing vector.

**Recommended Books:-**

1) Engineering Electromagnetics by W.H.Hayt, J.A.Buck, TMH 7th edition 2010

2) Foundation of Electromagnetic Theory, John Reitz, F.J.Milford,R.W.Christy, Pearson education, 4th edition 2010

3) Elements of Engineering Electromagnetics, Nannapaneni Narayana Rao, Pearson education, 2006

4) Principles of Electromagnetics 4/e Mathew Sadiku Oxford University

4EP03/4EL03/4EE 03 ANALOG AND DIGITAL CIRCUITS

**SECTION A**

Unit I : Introduction to IC’s : Characteristics of IC components, Operation amplifier; Block schematic internal circuits, Level shifting, overload protection, study of IC 741 op-amo, Measurement of op-amp parameter.

Unit II : Linear and Non-linear Application of Op-amp:- Inverting and noninverting amplifiers, voltage follower, integrator, differentiator differential amplifier, Sinusoidal RC-phaseshift and Wein bridge oscillators, clipping, clamping and comparator circuits using op-amps. Astable, bistable and monostable multi vibrator using op-amps.

Unit III : Other linear IC’s : Block schematic of regulator IC 723, and its applications, study of 78 **, 79 ** and its applications, SMPS, Block schematic of timer IC 555 and its applications as a timer, astable, mono stable, bistable multivibrator and other applications, Operation of phase lock loop system and IC 565 PLL, its application

**SECTION B**

Unit IV : Basic Logic Circuits : Logic gate characteristics, NMOS invertor, propagation delay, NMOS logic gate, CMOS invertor, CMOS logic gates, BJT invertor, TTL, NAND gate, TTL output, state TTL logic families, ECL circuits, composition logic families.

Unit V : Combinational Digital Circuits: Standard gate assemblies, Binary adder, Arithmetic functions, Digital comparator, Parity check generator, Decoder / demultiplexer, Data selector / multiplexer, Encoder, ROM, Two dimensional addressing of ROM,ROM applications, PROM,EPROM,PAL AND PLAS.

Unit VI : Sequential Circuits and Systems: Bistable Latch, Flip-Flop clocked SR,J-K, T, D type shift Registers, counter. Design using filp-flops, Ripple and synchronous types, application of counters, Dynamic MOS shift registers, RAM, Bipolar RAM

**RECOMENDED BOOKS:**

1) Millman, Microelectronics, 2nd Ed., McGraw Hill.

2) Gayakwad, Op-Amp & LLG, 2nd Ed.

3) Malvino & Leach, Digital Principles & Applications, 4th Ed., McGraw Hill

4EP04/4EL04/4EE 04 MATHEMATICS-IV

**SECTIONA**

Unit I : a) Complex variables : analytic functions, Cauchy-Riemann conditions. Harmonic function, Harmonic conjugate functions, Milne’s method. b) Confirmed mapping : mapping by elementary functions of the type W=z+c, W=cz, W=1/z, W=z2, W=e2, W=z+1/z and bilinear transformation. (10 Hrs.)

Unit II : Complex Integral : singular points, Taylor’s series, Laurent’s series, Cauchy’s integral theorem and Cauchy’s integral formula. Residue : Cauchy’s residue theorem. Contour integrals. Integration forms : f(x) dx, f (sinx, cos x) dx (10 Hrs.)

Unit III: Patial differential equations : first order and first degree p.d. equation type. (i) f (p, q) = 0, (ii) f (p, q, z) = 0, (iii) f (p, q, x, y) = 0 (iv) f (p, q, x, y, z) = 0 etc. Lagrange’s form Pp + Qq = R. Clarinet’s form Z = px + qv + f (p, q). Equation reducible to standard form. Homogeneous P.D.E. of nth order. (10 Hrs.)

**SECTION B**

Unit IV: Special functions : solution of Legendre’s and Bessel’s equations by Frobensious method, Bessel’s function Ist kind generating function, recurrence relating values of J 1/2 (x) , J -1/ 2(x), J 3/2 (x) etc.Legendre’s function of Ist kind : generating function, Rodrigues function, recurrence relation, Legendre’s polynomials and orthogonal properties. (10 Hrs.)

Unit V : Statistics & Probability : Axioms, conditional probability, Bay’e theorem, mathematical expectations, probability distributions : Binomial, Possion and Normal. (10 Hrs.)

Unit VI: a) Curve fittings by method of Least Squares. Correlation and regression. b) Matrix differential equation : solution and integrated solution, Sylvester’s theorem, solution of differential equations by matrix method and Peano Baker method. (10 Hrs.)

**RECOMMENDED BOOKS:**

1) Pipes : Mathematics for Engineers and Physicist.

2) P.N. Wartikar and J.N.Wartikar : A Text Book of Applied Mathematics.

3) B.S.Grewal : Advance Engineering Mathematics.

4EP05/4EX05/4EL05/4EE 05 NUMERICAL METHODS AND COMPUTER PROGRAMMING

**SECTION A**

Unit I : Solution of Algebraic & Transcendental equations : Floating point number representation, errors, accuracy, stability of algorithms. Bracketing methods : bisection method and False Position method. Open methods : Newton-Raphson method, Secant method and Successive Approximation method. Comparison of different iterative methods. Implementation of these methods in C.

Unit II : Solution of Simultaneous Algebraic equations : Iterative methods : Jacobi’s method and Gauss-Seidel method. Direct methods : Gaussian elimination method & Matrix Inverse method. Finding Eigen values of a matirx, determination of largest Eigen value. Implementation of these methods in C.

Unit III : Interpolation : Evenly spaced points : formation of forward & backward difference table, Newton’s forward & backward difference interpolation formulae. Unevenly spaced points divided difference table and Newton’s divided difference interpolation formula, Lagrange’s method. Interpolation with Cubic splines. Implementation of these methods in C.

**SECTION B**

Unit IV : Numerical Differentiation and Integration : Numerical differentiation : Taylor’s series method, Richardson extrapolation method, numerical differentiation using interpolation polynomial (first & second derivative near the begining & end of the table). Numerical Integration : Trapezoidal Rule, Simpson’s Rules, Romberg method, Gaussian quadrature method. Implementation of these methods in C.

Unit V : Solution of ordinary differential equations : Initial value problem : Taylor’s series method, Runge-Kutta methods - second & fourth order, Euler’s method, Euler’s modified method. Solution of simultaneous & higher order differential equations using Runge-Kutta fourth order method. Stiff differential equations and their solutions. Boundary value problem : Finite difference method and Cubic spline method. Implementation of these methods in C.

Unit VI : Principles of Object Oriented Programming : OOP paradigm, basic concepts of OOP, benefits of OOP, basic data types, users defined data types, derived data types, operators and control statements.

**RECOMENDED BOOKS:**

1) Numerical Methods with Programms in C by T.Veerarajan,T.Ramachandran TMH 2nd edition, 6th reprint 2011

2) Numerical Methods - Principles, Analysis & Algorithms Pal, Oxford University Press , 2008

3) Numerical Methods for Engineers and Scientists – Guha Oxfor University Press 2008

4) Computer Fundamentals and Programming in C – Dey and GhoshOxford University Press 2008

5) Chapra S.S. & Canale R.P. : Numerical Methods for Engineers, 4th edition, McGraw Hill.

6) Balguruswami E. : Object Oriented Programming with C++, Tata McGraw Hill, New Delhi.

7) Nakamura S. : Applied Numerical Methods in C, Prentice Hall.

4EP06/4EX06/4EL06/4EE 06 ELECTRICAL MACHINES I LAB

Any TEN experiments based on contents of 4EP01

4EP07/4EL07/4EE 07 ANALOG AND DIGITAL CIRCUITS LAB

Any TEN experiments based on contents of 4EP03

4EP08/4EX08/4EL08/4EE 08 NUMERICAL METHODS AND COMPUTER PROGRAMMING

Any TEN experiments based on contents of 4EP05

Electrical Engineering

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