iv sem new1 - mvjce & electronics engg. iv sem mvjce 2 course diary syllabus engineering...

ELECTRICAL & ELECTRONICS ENGG. IV SEM

MVJCE 1 COURSE DIARY

10MAT41 –

ENGINEERING MATHEMATICS - IV



SYLLABUS

ENGINEERING MATHEMATICS – IV

Sub Code: 10MAT41 I A Marks: 25 Hours / Week: 4 Exam Hours:03

Total Hours: 52 Exam Marks: 100

PART-A

Unit-I: NUMERICAL METHODS - 1

Numerical solution of ordinary differential equations of first order and first degree;

Picard’s method, Taylor’s series method, modified Euler’s method, Runge-kutta method

of fourth-order. Milne’s and Adams - Bashforth predictor and corrector methods (No

derivations of formulae).

[6 hours]

Unit-II: NUMERICAL METHODS – 2

Numerical solution of simultaneous first order ordinary differential equations: Picard’s

method, Runge-Kutta method of fourth-order.

Numerical solution of second order ordinary differential equations: Picard’s method,

Runge-Kutta method and Milne’s method.

[6 hours]

Unit-III: Complex variables – 1

Function of a complex variable, Analytic functions-Cauchy-Riemann equations in

cartesian and polar forms. Properties of analytic functions.

Application to flow problems- complex potential, velocity potential, equipotential lines,

stream functions, stream lines.

[7 hours]

Unit-IV: Complex variables – 2

Conformal Transformations: Bilinear Transformations. Discussion of Transformations:

22 , w=, (/)

z

wzewzaz ==+ . Complex line integrals- Cauchy’s theorem and

Cauchy’s integral formula.

[7 hours]

PART-B

Unit-V: SPECIAL FUNCTIONS

Solution of Laplace equation in cylindrical and spherical systems leading Bessel’s and

Legendre’s differential equations, Series solution of Bessel’s differential equation leading

to Bessel function of first kind. Orthogonal property of Bessel functions. Series solution

of Legendre’s differential equation leading to Legendre polynomials, Rodrigue’s

formula.

[7 hours]



Unit-VI: PROBABILITY THEORY - 1

Probability of an event, empherical and axiomatic definition, probability associated with

set theory, addition law, conditional probability, multiplication law, Baye’s theorem.

[6 hours]

Unit-VII: PROBABILITY THEORY- 2

Random variables (discrete and continuous), probability density function, cumulative

density function. Probability distributions – Binomial and Poisson distributions;

Exponential and normal distributions.

[7 hours]

Unit-VIII: SAMPLING THEORY

Sampling, Sampling distributions, standard error, test of hypothesis for means,

confidence limits for means, student’s t-distribution. Chi -Square distribution as a test of

goodness of fit

[6 hours]

Text Books:

1. B.S. Grewal, Higher Engineering Mathematics, Latest edition, Khanna Publishers

2. Erwin Kreyszig, Advanced Engineering Mathematics, Latest edition, Wiley

Publications.

Reference Book:

1. B.V. Ramana, Higher Engineering Mathematics, Latest edition, Tata Mc. Graw

Hill Publications.

2. Peter V. O’Neil, Engineering Mathematics, CENGAGE Learning India Pvt

Ltd.Publishers



LESSON PLAN 10MAT-41 Hours / Week: 05

I.A. Marks: 25 Total Hours: 60

No. of

Hrs Topics

Unit 1 Numerical Methods

1 Numerical solutions of first order and first degree ordinary differential equations

2 Taylor’s series method

3 Modified Euler’s method

4 Runge – Kutta method of fourth order

5 Milne’s and Adams-Bashforth predictor

6 corrector methods

Unit 2 Complex Variables

7 Function of a complex variable, Limit, Continuity Differentiability-Definitions

8 Analytic functions

9 Cauchy – Riemann equations in Cartesian and polar forms

10 Properties of analytic functions

11 Conformal Transformation – Definition

12 Discussion of transformations: W = z2, W = e

z, W = z + (1/z), z ≠ 0

13 Bilinear transformations

Unit 3 Complex Integration

14 Complex line integrals

15 Cauchy’s theorem

16 Cauchy’s integral formula

17 Taylor’s and Laurent’s series (Statements only)

18 Singularities, Poles, Residues

19 Cauchy’s residue theorem

Unit 4 Series solution of Ordinary Differential Equations and Special Functions

20 Series solution

21 Frobenius method

22 Series solution of Bessel’s D.E. leading to Bessel function of first kind

23 Equations reducible to essel’s D.E

24 series solution of Legendre’s D.E

25 leading to Legendre polynomials

26 Rodirgue’s formula

Unit 5 Statistical Methods

27 Curve fitting by the method of least squares: y = a + bx

28 y = a + bx+cx2

, y = axb, y = ab

x, y = ae

bx

29 Correlation and Regression

30 Probability: Addition rule, Conditional probability

31 Multiplication rule

32 Baye’s theorem

Unit 6

33 Random Variables (Discrete and Continuous)

34 p.d.f

35 c.d.f



No. of

Hrs Topics

36 Binomial

37 Poisson

38 Normal

39 Exponential distributions

Unit 7

40 Sampling

41 Sampling distribution

42 Standard error

43 Testing of hypothesis for means

44 Confidence limits for means

45 Student’s t distribution

46 Chi-square distribution as a test of goodness of fit

Unit 8

47 Concept of joint probability – Joint probability distribution

48 Discrete and Independent random variables

49 Expectation, Covariance, Correlation coefficient

50 Probability vectors, Stochastic matrices, Fixed points, Regular stochastic matrices

51 Markov chains, Higher transition probabilities

52 Stationary distribution of regular Markov chains



10EES42 –

MICROCONTROLLERS



SYLLABUS

SUBJECT CODE: 10ES42 IA MARKS: 25 SUBJECT: MICROCONTROLLERS EXAM HOURS: 3

(Common to, EE, EC, IT, TC, BM and ML) EXAM MARKS: 100 HOURS / WEEK: 04 TOTAL HOURS: 52

UNIT 1: Microprocessors and microcontroller. Introduction, Microprocessors and Microcontrollers, RISC &

CISC CPU Architectures, Harvard & Von-Neumann CPU architecture, Computer software.

The 8051 Architecture: Introduction, Architecture of 8051, Pin diagram of 8051, Memory

organization, External Memory interfacing, Stacks.

6 Hours

UNIT 2:

Addressing Modes: Introduction, Instruction syntax, Data types, Subroutines, Addressing modes:

Immediate addressing , Register addressing, Direct addressing, Indirect addressing, relative

addressing, Absolute addressing, Long addressing, Indexed addressing, Bit inherent addressing, bit

direct addressing.

Instruction set: Instruction timings, 8051 instructions: Data transfer instructions, Arithmetic

instructions, Logical instructions, Branch instructions, Subroutine instructions, Bit manipulation

instruction.

6 Hours

UNIT 3:

8051 programming: Assembler directives, Assembly language programs and Time delay

calculations.

6 Hours

UNIT 4:

8051 Interfacing and Applications: Basics of I/O concepts, I/O Port Operation, Interfacing 8051 to

LCD, Keyboard, parallel and serial ADC, DAC, Stepper motor interfacing and DC motor interfacing

and programming

7 Hours

UNIT 5: 8051 Interrupts and Timers/counters: Basics of interrupts, 8051 interrupt structure, Timers and

Counters, 8051 timers/counters, programming 8051 timers in assembly and C .

6 Hours

UNIT 6:

8051 Serial Communication: Data communication, Basics of Serial Data Communication, 8051 Serial

Communication, connections to RS-232, Serial communication Programming in assembly and C.

8255A Programmable Peripheral Interface:, Architecture of 8255A, I/O addressing,, I/O devices

interfacing with 8051 using 8255A.

6 Hours

Course Aim – The MSP430 microcontroller is ideally suited for development of low-power

embedded systems that must run on batteries for many years. There are also applications where

MSP430 microcontroller must operate on energy harvested from the environment. This is possible due

to the ultra-low power operation of MSP430 and the fact that it provides a complete system solution

including a RISC CPU, flash memory, on-chip data converters and on-chip peripherals.



UNIT 7: Motivation for MSP430microcontrollers – Low Power embedded systems, On-chip peripherals

(analog and digital), low-power RF capabilities. Target applications (Single-chip, low cost, low power,

high performance system design).

2 Hours

MSP430 RISC CPU architecture, Compiler-friendly features, Instruction set, Clock system, Memory

subsystem. Key differentiating factors between different MSP430 families.

2 Hours

Introduction to Code Composer Studio (CCS v4). Understanding how to use CCS for Assembly, C,

Assembly+C projects for MSP430 microcontrollers. Interrupt programming.

3 Hours

Digital I/O – I/O ports programming using C and assembly, Understanding the muxing scheme of the

MSP430 pins. 2 Hours

UNIT 8:

On-chip peripherals. Watchdog Timer, Comparator, Op-Amp, Basic Timer, Real Time Clock (RTC),

ADC, DAC, SD16, LCD, DMA.

2 Hours

Using the Low-power features of MSP430. Clock system, low-power modes, Clock request feature,

Low-power programming and Interrupt.

2 Hours

Interfacing LED, LCD, External memory. Seven segment LED modules interfacing. Example – Real-

time clock.

2 Hours

Case Studies of applications of MSP430 - Data acquisition system, Wired Sensor network, Wireless

sensor network with Chipcon RF interfaces.

3 Hours

TEXT BOOKS: 1. “The 8051 Microcontroller and Embedded Systems – using assembly and C ”-, Muhammad Ali

Mazidi and Janice Gillespie Mazidi and Rollin D. McKinlay; PHI, 2006 / Pearson, 2006

2. “MSP430 Microcontroller Basics”, John Davies, Elsevier, 2010

(Indian edition available)

REFERENCE BOOKS: 1. “The 8051 Microcontroller Architecture, Programming & Applications”, 2e Kenneth J. Ayala ;,

Penram International, 1996 / Thomson Learning 2005.

2. “The 8051 Microcontroller”, V.Udayashankar and MalikarjunaSwamy, TMH, 2009

3. MSP430 Teaching CD-ROM, Texas Instruments, 2008 (can be requested http://www.uniti.in )

4. Microcontrollers: Architecture, Programming, Interfacing and System Design”,Raj Kamal,

“Pearson Education, 2005



LESSON PLAN SUBJECT CODE: 10ES42 IA MARKS: 25 SUBJECT: MICROCONTROLLERS EXAM HOURS: 03

EXAM MARKS: 100 TOTAL HOURS: 60

Chapter No.

Chapter name Hrs Topic to be covered

1 Microprocessors

And Microcontroller

1 Introduction, Microprocessors and Microcontrollers, A Microprocessors survey.

2 RISC & CISC CPU Architectures, Harvard & Von-Neumann

CPU architecture.

3 Introduction, 8051 Microcontroller Hardware

4 Input / Output Pins

5 Ports and Circuits External Memory,

Counter and Timers

6 Serial Data Input / Output,

7 Interrupts. types

2. Addressing Modes

and Operations

8 Introduction, Addressing modes, External data Moves

9 Code Memory, Read Only Data Moves / Indexed

Addressing mode

10 PUSH and POP Opcodes, Data exchanges, Example Programs

11 Byte level logical Operations, Bit level Logical Operations

12 Rotate and Swap Operations, Example Programs

13 Arithmetic Operations: Flags, Incrementing and Decrementing, Addition, Subtraction

14 Multiplication and Division, Decimal Arithmetic,

15 Example Programs.

3. Jump and Call

Instructions

16 The JUMP and CALL Program range

17 Jumps, calls programs

18 Subroutines programs

19 Interrupts and Returns

20 More Detail on Interrupts

21 Example Problems

22 Example Problems

4. 8051 programming

in C

23 Data types and time delays in 8051C

24 I/O programming

25 Data conversion programs

26 Accessing code ROM space,

27 Communication Programs in C

28 logic operations

29 data serialization

30 Example programs



Chapter No.

Chapter name Hrs Topic to be covered

5.

Timer / Counter

Programming in

8051

31 Programming 8051 Timers

32 Programming 8051 Timers (cont.)

33 Counter Programming

34 Counter Programming (cont.)

35 Programming timers 0 and 1 in 8051 C

36 Programming timers 0 and 1 in 8051 C (cont.)

37 Example programs

6 8051 Serial

Communication

38 Basics of Serial Communication

39 8051 connections to RS-232

40 8051 Serial communication Programming

41 Programming the second serial port

42 Serial port programming in C

43 Example Programs

44 Exercise programs

7 Interrupts

Programming

45 8051 Interrupts

46 Programming Timer Interrupts

47 Programming External Hardware Interrupts

48 Programming the Serial Communication Interrupts

49 Interrupt Priority in the 8051/52

50 Interrupt programming in C

51 Exercise and example programs

8. 8051 Interfacing

and Applications

52 Interfacing 8051 to LCD

53 Interfacing 8051 to Keyboard

54 Interfacing 8051 to parallel and serial ADC

55 Interfacing 8051 to DAC

56 Interfacing 8051 to Stepper motor interfacing

57 Interfacing 8051 to DC motor interfacing

58 Interfacing 8051 to PWM

59 Solving of VTU Question Paper

60 Solving of VTU Question Paper



10ES43 –

CONTROL SYSTEMS



SYLLABUS

SUBJECT CODE: 10ES43 IA MARKS: 25 SUBJECT: CONTROL SYSTEMS EXAM HOURS: 3

(Common to, EE, EC, IT, TC, BM and ML) EXAM MARKS: 100 HOURS / WEEK: 04 TOTAL HOURS: 52

PART – A

UNIT 1: Modeling of Systems: Introduction to Control Systems, Types of control systems, Effect of

feedback systems, Differential equations of physical systems – Mechanical systems- Friction,

Translational systems (Mechanical accelerometer, Levered systems excluded), Rotational systems,

Gear trains. Electrical systems, Analogous systems.

6 Hours

UNIT 2:

Block diagrams and signal flow graphs: Transfer functions, Block diagrams, Signal Flow graphs

(State variable formulation excluded). 7 Hours

UNIT 3:

Time Response of feed back control systems: Standard test signals, Unit step response of First and

second order systems, Time response specifications, Time response specifications of second order

systems, steady – state errors and error constants.

7Hours

UNIT 4: Stability analysis: Concepts of stability, Necessary conditions for Stability, Routh-Hurwitz stability

criterion, Relative stability analysis; Special cases of RH criterion. 6 Hours

PART – B

UNIT 5: Root–Locus Techniques: Introduction, basic properties of root loci, Construction of root loci.

6 Hours

UNIT 6: Stability analysis in frequency domain: Introduction, Mathematical preliminaries, Nyquist Stability

criterion, (Inverse polar plots excluded), Assessment of relative stability using Nyquist criterion,

(Systems with transportation lag excluded). 7Hours

UNIT 7: Frequency domain analysis: Correlation between time and frequency response, Bode plots, All pass

and minimum phase systems, Experimental determination of transfer functions, Assessment of

relative stability using Bode Plots. 7 Hours

UNIT 8:

Introduction to State variable analysis: Concepts of state, state variable and state models for

electrical systems, Solution of state equations. 6 Hours



TEXT BOOK :

1. Control Systems Engineering, I. J. Nagarath and M.Gopal, New Age International (P) Limited,

4th

Edition – 2005

2 Modern Control Engineering, K. Ogata, PHI, 5th

Edition, 2010.

REFERENCE BOOKS: 1. Control Systems Engineering,Norman S Nise,Wiley Student Edition,5th

Edition,2009

2. Automatic Control Systems, Benjamin C.Kuo and Farid Golnaaghi, Wiley Student Edition,8th

Edition,2009

3. Feedback and Control Systems,Joseph J Distefano III and other, Schaum’s Outlines,TMH,2nd

Edition,2007

4. Control Systems, Ananda Kumar, PHI,2009.



LESSON PLAN

SEMESTER: IV SUB: CONTROL SYSTEMS

TEACHING HOURS: 60 SUB_CODE: 10ES43

Chapter No.

Chapter name

Hrs Topic to be covered

1 Modeling of

systems

1 Introduction to overall subject, Question paper pattern

Discussion of types of control system

2 Introduction to Mathematical modeling of system, dynamic equation,

F-V, F-I analysis

3 Problems on Translational system

4 Problems on Translational system

5 Introduction to rotational system, T-V & T-I analysis & Problems on

rotational system

6 Introduction to modeling of gear system

7 Solution of numericals on gear system

2.

Block

diagrams

and signal

flow graphs

8 Introduction to transfer functions, derivation of transfer functions of

physical systems

9 Derivation of transfer functions of physical systems (contd.)&

solution of numerical

10 Introduction to block diagram & construction of block diagram;

introduction to poles & zeroes

11 Introduction to signal flow graph, construction of signal flow graph &

Mason’s gain formula

12 Problems on block diagram reduction technique & signal flow graph

13 Problems on block diagram reduction technique & signal flow graph

14 Problems on signal flow graph

15 Problems on multiple input & multiple output systems

3.

Time

response of

feedback

control

systems

15 Introduction to time response analysis & standard input signals

16 Time response analysis of first order system applying unit (i) Step, (ii)

Ramp, (iii) Impulse & (iv) Sinusoidal inputs

17 Solution of numericals on Time response analysis of first order

system

18 Time response analysis of second order system

19 Analysis of Time Response – (i) Overshoot & Undershoot, (ii)

Underdamped, Overdamped & Critically Damped systems, (iii)

Settling time

21 Time domain specifications & derivation of expressions for them

22 Solution of numericals on second order system & Time domain

specifications

23 Introduction to static error coefficient & problems on finding static

error coefficient



Chapter No.

Chapter name


4. Stability

analysis

24 Introduction to stability analysis, concept of stability and role of poles

& zeroes on stability

25 Techniques of stability analysis : Time domain & Frequency domain;

introduction to Routh-Hurwitz criterion

26 Necessary & sufficient conditions of stability as per Routh-Hurwitz

criterion and formation of Routh’s Table

27 Concept of Relative Stability & its analysis

28 Solution of numericals on stability analysis applying Routh-Hurwitz

criterion

29 Solution of numericals on stability analysis applying Routh-Hurwitz

criterion when zero appears on first column

30 Solution of numericals on stability analysis

5. Root Locus

Technique

31 Introduction to Root Locus diagram & procedure to plot the Root

Locus diagram

32 Procedure to plot the Root Locus diagram (contd.)

33 Solution of numericals on Root Locus





6.

Stability in

the

Frequency

domain

38 Introduction to concept of polar plot

39 Concept of encircle & enclose

40 Introduction to concept of Nyquist plot criterion ; construction of GH-

Plot

41 Assessment of stability from GH –Plot & solution of mu,ericals

42 Introduction to assessment of relative stability using Nyquist criterion

43 Solution of numericals on Nyquist plot



7.

Frequency

domain

analysis

46 Introduction to frequency domain analysis & discussion of advantages

of frequency response analysis

47 Discussion of frequency domain specifications & derivation of

expressions for them

48 Introduction to phase margin & gain margin & correlation between

time domain & frequency domain

49 Introduction to Bode plot

50 Problems on Bode plot

51 Determination of Gain Margin & Phase Margin from Bode Plot

52 Assessment of stability from Bode Plot

53 Solution of numericals on Bode plot

54 Solution of numericals on Bode plot



Chapter No.

Chapter name


8.

Introduction

to state

variable

analysis

55 Introduction to concepts of state & state variables, Advantages of

state space analysis

56 Introduction to state space representation & state space representation

of physical systems

57 Discussion of state space representation of Electrical network

58 Problems on state space representation of Electrical network

59 Introduction to state transition matrix & problems on state system

matrix

60 Problems on solution of state equations



MODEL QUESTION PAPER – I

1. Distinguish between Open-Loop and Closed-Loop control system. (4)

2. A system has 30% overshoot and settling time of 5 seconds for an unit step input. Determine

(i) The transfer function (ii) Peak time (tp) (iii) Output response (Assume ess as 2%) (8)

3. Distinguish between type of system and Order of the system. Determine the steady state errors

for Type 1 and Type 2 systems with the inputs (i) Unit Step (ii) Unit Parabolic. (6)

4. The open loop transfer function of a unity feedback system is given by

G(s) = K

(s + 2) (s + 4) (s2 + 6s + 25)

Discuss the stability of the system. (8)

5. Negative non-unity feedback system is represented by

G(s) = 100(s + 5) H(s) = 1/s

(s2 + 5s + 10)

Determine (i) Order and Type of the system and (ii) Steady state error for unit ramp input.

(10)

6. Determine the stability of the control system whose characteristic equations are given by

(i) s6 + 2s

5 + 8s

4 + 12s

3 + 20s

2 + 16s + 16 = 0

(ii) s4 + 12s

3 + 54s

2 + 108s + 80 = 0 (12)

7. Explain the terms “Gain Margin” and “Phase Margin” of the system. (6)

8. By means of the Nyquist criterion, determine whether the closed loop system having

the following open-loop transfer function is stable or not. If not, how many closed loop

poles lie in the right half S-plane? (14)

G(s) H(s) = 1 + 4s

s2 + (1 + s) (1 + 2s)



MODEL QUESTION PAPER –II

1. Derive an expression for the response of a second-order system excited by unit step input. (8)

2. The open-loop transfer function of a unity feedback servomotor system is given by

G(s) = 1.6

(1 + 0.5s) (1 + 0.2s)

Calculate (i) Damping ratio (ii) Percentage overshoot (iii) Damped frequency of

oscillations. Assuming the input to be unit step and also find the study state error. (10)

3. The Open Loop transfer function of a control system is given by

G(s) H(s) = K

s (s + 2) (s + 10)

Draw the Bode Plots for K = 10, and determine the stability of the system.

Also determine the value of K so that the system may be stable with

(i) Gain Margin equal to 6db. (ii) Phase Margin equal to 450 (16)

4. A unity feedback has G(s) = 40 (s + 2)

s (s + 1) (s + 4)

Determine (i) Type of the system (ii) Error coefficients Kp, Kv, Ka (iii) Steady-State Error

for the input r(t) = 4(t) (6)

5.Write short notes on any four of the following (4 Χ 5 = 20)

i. Servo mechanisms

ii. Automatic regulating systems

iii. Speed control system

iv. M and N circles

v. Stability of non-linear systems

vi. Describing function method.

6.The open loop transfer function of a certain system is given by

G(s) H(s) = K

s (s + 4) (s2 + 4s + 20) (10)

Sketch the Root Locus.

7. (a) Derive the Frequency response specifications for a second order system

(12)

(b) State construction rules of Root Locus.

(8)

8. (a). Sketch the Nyquist plot of the following

G(s) = K

(s + 2) (s2 + 3s + 1)

(20)



10EE44 –

FIELD THEORY



SYLLABUS

SUBJECT CODE: 10ES44 IA MARKS: 25

SUBJECT:FIELD THEORY EXAM HOURS: 3

EXAM MARKS: 100 HOURS / WEEK: 04 TOTAL HOURS: 52

PART – A

UNIT -1 a. Coulomb’s Law and electric field intensity: Experimental law of Coulomb, Electric field intensity,

Field due to continuous volume charge distribution, Field of a line charge. 03 Hours

b. Electric flux density, Gauss’ law and divergence: Electric flux density, Gauss’ law, Divergence,

Maxwell’s First equation (Electrostatics), vector operator and divergence theorem 04 Hours

UNIT- 2

a. Energy and potential: Energy expended in moving a point charge in an electric field, The line

integral, Definition of potential difference and Potential, The potential field of a point charge and

system of charges, Potential gradient, Energy density in an electrostatic field

04 Hours

b. Conductors, dielectrics and capacitance: Current and current density, continuity of current,

metallic conductors, conductor properties and boundary conditions, boundary conditions for perfect

dielectrics, capacitance and examples.

03 Hours

UNIT- 3 Poisson’s and Laplace’s equations: Derivations of Poisson’s and Laplace’s Equations, Uniqueness

theorem, Examples of the solutions of Laplace’s and Poisson’s equations. 06 Hours

UNIT -4 The steady magnetic field: Biot-Savart law, Ampere’s circuital law, Curl, Stokes’ theorem, magnetic

flux and flux density, scalar and Vector magnetic potentials. 06 Hours

PART – B

UNIT- 5

a. Magnetic forces: Force on a moving charge and differential current element, Force between

differential current elements, Force and torque on a closed circuit.

03 Hours

b. Magnetic materials and inductance: Magnetization and permeability, Magnetic boundary

conditions, Magnetic circuit, Potential energy and forces on magnetic materials, Inductance and

Mutual Inductance.

04 Hours

UNIT-6

Time varying fields and Maxwell’s equations: Faraday’s law, displacement current, Maxwell’s

equation in point and Integral form, retarded potentials.

06 Hours

UNIT- 7 Uniform plane wave: Wave propagation in free space and dielectrics, Poynting’s theorem and wave

power, propagation in good conductors, skin effect.

07 Hours

UNIT- 8 Plane waves at boundaries and in dispersive media: Reflection of uniform plane waves at normal

incidence, SWR, Plane wave propagation in general directions. 06 Hours



TEXT BOOK:

1. Engineering Electromagnetics, William H Hayt Jr. and John A Buck, Tata McGraw-Hill, 7th

edition, 2009.

2. Principles of Electromagnetics, Matthew N.O. Sadiku, 4th

Edition, Oxford University Press, 2009.

REFERENCE BOOKS:

1.Electromagnetics with Applications, John Krauss and Daniel A Fleisch, McGraw-Hill, 5th

edition,

1999.

2. Electromagnetism-Theory and Applications, Ashutosh Pramanik, PHI, 2nd

edition,Reprint 2009.

3. Field and Wave Electromagnetics, David K Cheng, Pearson Education Asia, 2nd

edition, - 1989, Indian Reprint – 2001.



LESSON PLAN

SEMESTER: IV (NS) SUB: FIELD THEORY

TEACHING HOURS: 60 SUB_CODE: 10ES44

Unit No.

Unit Name Hrs Topic to be covered

1a.

Coulomb’s

Law and

electric

field

intensity

1 Introduction to vectors

2 Review of vectors continued

3 Explanation of coulomb’s law & problems

4 Problems on Coulomb’s law continued

5 Definition of electrical field intensity and explanation same

6 Problems on E.F.I

7 Problems on E.F.I continued

8 Problems on E.F.I continued

9 General representation of E.F.I for various types of charges to be

discussed

10 Derivation for E.F.I at any point due to infinite lint charge

11 Derivation for E.F.I for finite line charge and sheet charge to find

electrical field intensity

12 Problems on line charge, surface charge to find electrical field intensity

13 Finding electrical field intensity for ring & disc charge

14 Derivation for work done in an electrical field in moving charge

15 Solved problems in electrical field in moving charge

1b.

Electric flux

density,

Gauss’ law

and

divergence

16 Statement & Proof of Gauss Law& Its Application

17 Problem & Application on Gauss Law

18 Statement & Proof of Gauss Law in Point form ,Laplace, Poission’s

Equation

19 Problems on Gauss Law

20 Problems on gauss laws

2a. Energy and

potential

21 Electric Scalar Potential, Differential Relation

22 Problems & Differential Relation

23 Problem on Potential & Work Done

24 Problem on Potential,

25 Definition of electric Flux

2b.

Conductors,

dielectrics

and

capacitance

26 Current, Current Density Relation B/w J & Velocity, Continuity Eqn.

,Metallic Conductors , Introduction to Boundary Conditions

27 Energy Density & Electric Field

28 Capacitance, Composite Capacitance

29 Energy & Energy Density for a Capacitor

30 Problem Based on Capacitance



Unit No.

Unit Name Hrs Topic to be covered

3.

Poisson’s

and

Laplace’s

equations

31 Problems on Divergence, Laplace, Poission’s Equation

32 Problems on Laplace, Poission’s Equation

33 Problems on Laplace,

34 Poission’s Equation to be continued

4.

The steady

magnetic

field

35 Explanation of Biot Savart Law, Relation B/w B & H and ‘B’ for

ifinite line conductor

36 ‘B’ for finite Line Conductor, Ampere’s Law in Integral & Differential

form

37 Problems on Ampere’s Law

38 Define of curl, stokes Theorem, Scalar Magnetic Potential

39 Vector Magnetic Potential Problem

40 Vector Magnetic Potential Problem continued

5a. Magnetic

forces

41 Force on Moving Charge & Different Current Element, B/w Different

Current Element

42 Force & Torque on Closed Circuit, Magnetization & Permeability

Problems

5b.

Magnetic

materials &

inductance

43 Boundary condition & Problems

44 Magnetic circuit, Energy & forces on magnetic materials, self

inductance

6.

Time

varying

fields and

Maxwell’s

equations

45 Faraday’s Law & Displacement Current Problem

46 Maxwell’s Eqn. In Point & Integral Form

47 Retarded Potential, Problems

48 Related problems continued

7. Uniform

plane wave

49 Wave Propagation in Force space & Dielectric Problems

50 Pointing Vector Power Consideration

51 Problems on Pointing Vector

52 Plane Wave at Boundaries

53 Problems on Plane Waves

54 Problems continued

55 Problems on plane waves

8.

Plane

waves at

boundaries

and in

dispersive

media

56 Reflection of Uniform Plane Wave at Normal Incidence

57 Problems on Reflection of Uniform Plane Wave at Normal Incidence

58 Skin Depth, Problems on Skin Depth, For Power Dielectric

59 Standing Wave Ratio on a Transmission Line

60 Problems on Standing Wave



MODEL QUESTION PAPER

1.a. Find the expression of the field component at a far point due to a dipole. 06

b. Find the far field for the linear quadruple having three charges along Z-axis.2q at

Z=0,-q at Z=a and q at Z=a. 07

c. E= 10 [xax+yay]-2az V/m

x2+y

2

Potential at (3,4,5) is 10 volt. Find V at (6, -8,7). 07

2.a. State and prove Gauss’s law and determine the field due to an infinite line charge using this.

10

b. A spherical volume charge density is given by ρ= ρo (1-r2 /a

2) r≤a r>a

I. Calculate the total charge Q

ii. Find the electric field intensity E outside the charge distribution

iii. Find the electric field intensity for r ≤a.

iv. Show that the maximum value of E is at r= 0.745a 10

3.a. Derive Expressions for energy and energy density in a capacitor 06

b. Show that the capacitance between two identical spheres of radius R separated by a distance (d

>>R) is given by 4πεo dR/ 2(d-R) 08

c. Derive the expression for the magnetic flux density at a point due to an infinitely long current

carrying conductor. 06

4.a. State and explain the Amperes circuit law. Apply the law to determine the magnetic field inside

and outside a conductor of radius ‘a’. The conductor carries a current of ‘I’ amperes. Sketch the fields.

06

b. Determine the magnetic vector potential near a long conductor 0f carrying steady current. 06

c. Calculate the displacement current when AC voltage of 100sin(2π104t) is applied across a

capacitor of 4 microfarad at instances0.01ms, 1.0ms. 08

5.a. How many turns are required for a square loop of 100 mm on a side to develop a maximum emf of

10 mv RMS if the loop rotates at 30 r/s in earth’s magnetic field? Take B = 60 micro sec 10

b. Show that the line integral of magnetic vector potential vector A over a closed loop gives the

magnetic flux passing through the area bounded by the loop. 10

6.a. Prove wave propagation in a general medium & arrive at wave propagation in a good conducing

medium. 10

b. Determine Attenuation constant, Phase shift constant, Phase velocity & intrinsic impedance of the

medium 10

7. a. State and prove Poynting theorem. 08

b. Prove wave propagation in a general medium & arrive at wave propagation in a good conducting

medium. 12

8. a. Explain polarization of plane waves. Write different types of polarization of plane wave. 10



b. Define wave & uniform plane wave W.R.T Circular & Elliptical polarization of electric field. 10

9.a. What is Equi-potential surface? Give two examples of such surfaces. 10

b. Derive an expression for skin depth. Give an example for it. 10

10.Write short note on (5Marks each) i. Wave Propagation in a good conducting medium

ii. Brewster angle

iii. Linear polarization

iv. Boundary condition between two dielectrics



10EE45 –

POWER ELECTRONICS



SYLLABUS

SUBJECT CODE: 10EE45 IA MARKS: 25

SUBJECT: POWER ELECTRONICS EXAM HOURS: 3

EXAM MARKS: 100 HOURS / WEEK: 04 TOTAL HOURS: 52

PART – A

UNIT 1:

Power Semiconductor Devices:

Introduction to semiconductors, Power Electronics, Power semiconductor devices, Control

Characteristics. Types of power electronic converters and industrial applications-Drives, Electrolysis,

Heating, Welding, Static Compensators, SMPS, HVDC power transmission, Thyristorized tap

changers and Circuit breakers.

7 hours

UNIT 2:

Power Transistors: Power BJT’s – switching characteristics, switching limits, base drive control.

Power MOSFET’s and IGBT’s –characteristics, gate drive , di/dt and dv/dt limitations. Isolation of

gate and base drives. Simple design of gate and base drives. 6 Hours

UNIT 3: Thyristors

Introduction, Two Transistor Model, characteristics-static and dynamic. di/dt and dv/dt protection.

Ratings of thyristors. Thyristor types. Series and parallel operation of Thyristors. Thyristor firing

circuits. Design of firing circuits using UJT, R, R-C circuits. Analysis of firing circuits using

operational amplifiers and digital IC’s. 7 Hours

UNIT 4:

Commutation Techniques: Introduction. Natural Commutation. Forced commutation- self-

commutation, impulse commutation, resonant pulse commutation and complementary commutation.

6 Hours

PART – B

UNIT 5: Controlled Rectifiers: Introduction. Principle of phase controlled converter operation. Single- phase

semi-converters. Full converters. Three-phase half-wave converters. Three-phase full-wave

converters.

7 Hours

UNIT 6: Choppers: Introduction. Principle of step-down and step-up chopper with R-L load. Performance

parameters. Chopper classification. Analysis of impulse commutated thyristor chopper (only

qualitative analysis) 6 Hours

UNIT 7:

Inverters: Introduction. Principle of operation. Performance parameters. Single-phase bridge

inverters. Threephase inverters. Voltage control of single-phase inverters – single pulse width,

multiple pulse width, and sinusoidal pulse width modulation. Current source inverters. 7 Hours



UNIT 8:

(a) AC Voltage Controllers: Introduction. Principle of ON-OFF and phase control. Single-phase, bi-

directional controllers with resistive and R-L loads.

(b) Electromagnetic Compatibility: Introduction, effect of power electronic converters and remedial

measures.

6 Hours

Text Book:

1. Power Electronics, M.H.Rashid, , Pearson, 3rd

Edition, 2006.

2. Power Electronics, M.D. Singh and Khanchandani K.B., T.M.H., 2nd

Edition, 2001

References:

1.Power Electronics Essentials and Applications,L.Umanand, Wiley India Pvt Ltd,Reprint,2010

2. Thyristorised Power Controllers, G.K. Dubey, S.R. Doradla, A. Joshi and R.M.K. Sinha, New Age

International Publishers.

3. Power Electronics – Converters, Applications and Design, Ned Mohan, Tore M. Undeland, and

William P. Robins, Third Edition, John Wiley and Sons,2008.

4. Power Electronics: A Simplified Approach, R.S. Ananda Murthy and V. Nattarasu,

pearson/Sanguine Technical Publishers.



LESSON PLAN

SUBJECT CODE: 10EE45 IA MARKS: 25

SUBJECT: POWER ELECTRONICS (For EE Only) EXAM HOURS: 3

TOTAL HOURS: 60

Chapter No

Chapter Hour No.

Topics To Be Covered

1

Introduction to

power

semiconductor devices

01 Applications of power electronics, history of power

electronics

02 Power semiconductors devices

03 Control characteristics of power devices,

04 Types of power electronics circuits

05 Thyristorized power controllers, classification &

characteristics

06 Peripheral effects of different devices

2 Power

transisters

07 Power BJT’s, switching characteristics

08 switching limits, base-drive control

09 Power MOSFETs, switching characteristics

10 gate drive. IGBT’s,

11 di/dt and dv/dt limitations

12 Isolation of gate and base drives

13 Design of gate and base drive

3 Thyristors

14 Dynamic characteristics of Thyristor

15 Two – transistor model of Thyristor

16 Thyristor turn ON and Thyristor turn – OFF

17 di/dt and dv/dt ptotection, Thyristor types

18 series and parallel operation of thyristors

19 Thyristor firing circuits

20 Design of firing circuits using UJT, op-amps, and digital

IC’s

5 AC voltage

controllers

21 Introduction to AC voltage controllers

22 Principles of ON & OFF control

23 Principles of phase control

24 Single-phase Bi-Directional controllers with resistive loads.

25 Single-phase controllers with inductive loads

26 problems



Chapter

No Chapter

Hour

No. Topics To Be Covered

6 Controlled

rectifiers

27 Introduction to rectifiers – Principles of phase controlled

converter operation

28 Single phase semi converters – with R load

29 Single phase semi converters – with RL load

30 Single phase full converters - with R load

31 Single phase full converters - with RL load

32 Continuous and discontinuous conduction

33 Three phase half wave converters

34 Three phase semi converters

35 Three phase full converters

36 Problems

7 DC Choppers

37 Introduction to Choppers.

38 Principle of step-down

39 step-up choppers

40 step-down chopper with RL loads

41 Performance parameters

42 Chopper classification of Choppers.

43 Analysis of Impulse commutated thyristor chopper (only

qualitative analysis)

44 Solutions to Problems.

8 Inverters

45 Introduction to Inverters.

46 Principle of operation of Inverters.

47 performance parameters

48 single phase bridge inverters

49 Three phase inverters

50 Voltage control of single phase inverters- single pulse,

multiple pulse modulation

51 sinusoidal pulse width modulation

52 current source inverter

53 variable DC link inverter

54 problems

4 Commutation

techniques

55 Introduction to Thyristor commutation techniques - Natural

commutation - Forced commutation

56 Self commutation, Impulse commutation

57 Resonant pulse commutation, Complimentary commutation

58 External pulse commutation,

59 Line side commutation

60 Load side commutation



POWER ELECTRONICS (06EE45)

Model Question Paper-I

Duration: 3 Hrs Max. Marks: 100

Answer any five questions

1. a) Discuss the VI characteristics of the Triac. Compare the

characteristics of SCR with Triac.

08

b) List the classifications of power controllers. Mention at least two

applications of each.

06

c) For A snubber circuit The junction capacitance of thyristor is Cj2 =

15 pf and can be assumed to be independent of the off state voltage.

The limiting value of charging current to turn an thyristor is 5mA

and the critical value is 200V/µs. Determine the value of

capacitance Cs so that the thyristor will not be turned on due to

dv/dt. 06

2. a) Give simple circuit configuration for providing over voltage and

over current protection for SCR’s.

10

b) Design the triggering circuit the parameters of the UJT are VBB =

20V, η=0.66, Ip = 10µA, Vv = 2.5 V, and Iv = 10mA. The frequency

of oscillation is f = 1KHz and the width of the gate is tg = 40µs. 10

3. a) Explain briefly the operation of a 3-phase dual converter.

10

b) A single phase full converter has an R-L load of L = 8mH, R = 5Ω

and E = 10V. The input voltage is 120V rms at 60Hz for a delay

angle of α=60°. Find (i) Load current (ii) The Fourier series for the

input current (iii) Displacement factor input power factor. 10

4. a) With the help of neat diagram explain the operation of a single

phase semi converter with R-L load.

10

b) A three phase half-wave converter is operated from a three–phase Y

connected 20V, 60Hz. Supply and the load resistance is R = 10Ω. If it is

required to obtain an average output voltage of 50% of the maximum

possible output voltage, calculate (a) The delay angle α (b) the rms and

average output currents. (c) The transformer utilization factor TUF (d)

The input power factor PF.

10

5. a)Distinguish clearly between natural commutation and forced commutation.

04

b) Explain the principle of operation of an impulse commutation circuit.

10

c) In a self commutation circuit the initial capacitor voltage V0= 600V,

capacitance C = 40µF and inductance L = 10µH. Determine the peak

value of resonant current and conduction time of thyristor.

06



6. a) With relevant waveform explain the working of single phase full-wave

controller connected to a resistive load. Derived the expression for rms

output voltage.

10

b) An AC controller is as shown in figure below has a resistive load R = 10Ω

and the rms input voltage is 120V at 60Hz. The thyristor switch is on for

n = 25 cycle and is off for m = 75 cycles. Determine (a) rms output

voltage V0 (b) input power factor pf (c) the average and rms current of

thyristor.

10

7. a) How are choppers classified ? Explain them briefly.

08

b) A step-down chopper is feeding an RL load with Vs = 230V, R = 5Ω, L =

7.5mH, f = 1KHz, K = 0.5 and E = 0V. Calculate (a) The minimum

instantaneous load current I1 (b) The peak instantaneous load current I2 (c)

The maximum peak to peak load ripple current (d) The average value of

load current Ia (e) The rms load current I0 (f) The effective input resistance

RI seen by the source (g) the rms chopper current IR.

12

8. a) With the help of neat diagram and associated waveforms describe the operation of a BUCK

regulator.

12

b) What is the principle of closed loop control of DC drives?

08



Model Question Paper-II

Duration: 3 Hrs Max. Marks: 100

Answer any five questions

1. a. Using two transistor analogy, derive the expression for the anode

current of a Thyristor. 07

b. Explain the need to limit dv/dt and di/dt in a Thyristor. 06

c. A Thyristor has a forward characteristics which may be approximately

over its normal working range to the strength line in a V-I characteristics

curve (a) a continues ON state current of 23A. (b) a half-sine wave of

mean value 18A. (c) a level current of 39.6 A for one half-cycle (d) a

level current of 48.5A for one third cycle. 07

2. a. Explain the switching characteristics of IGBT. Mention its advantages

over BJT. 10

b. Explain the significance of (i) current rating (ii) voltage rating of a

thyristor. 10

3. a. Explain with relevant waveforms, derive expression for IDC, IRMS, VDC,

VRMS, p.f. for single – phase full converter for R-load. 10

b. A three-phase full converter is supplied from a three phase 230V, 60Hz

supply. The load current is continuous and has negligible ripple. If the

average load current Idc = 150A and the commutating inductance Lc =

0.1mH determine the overlap angle when (a) α = 30° and (b) α = 60°. 10

4. a. With the help of neat diagram and associated waveforms, explain the

operation of three-phase half wave controlled rectifier supplying a

resistive load. 10

b. A single phase semi-converter has a purely resistive load of R and the

delay angle is α= π/2, determine (a) the rectification efficiency (b) the

form factor FF (c) the ripple factor RF (d) the peak inverse voltage of

thyristor. 10

5. a. With the help of a neat diagram, explain the operation of a resonant

pulse chopper circuit.10

b. Design the values of commutating Lm and C (in the impulse

commutated chopper) circuit to provide a turn off time of 20µs.

Assume Vs = 600volts, Im = 350A, Ls = 6µH. The peak current

through T1 is not to exceed 2Im. 10

6. a. What are the advantages and disadvantages of ON-OFF control? 06

b. A single-phase full-wave ac voltage controller has a resistive load of

R= 10Ω and the input voltage is Vs = 120 V (rms), 60Hz. The delay

angle of thyristors T1 and T2 are equal : α1 = α2 = α = π/2. Determine

(a) the rms output voltage V0 (b) the input power factor p.f. (c) the

average current of thyristors IA , and (d) the rms current of thyristors

IR , also derive the necessary formulae . 14

7. a. With the help of neat diagram and associated waveforms, describe the

operation of step-up chopper supplying R-L load. 10



b.The buck-boost regulator has an input voltage of Vs = 12 V. The duty

cycle K = 0.25 and the switching frequency is 25 KHz. The inductance

L = 150µH and filter capacitance C = 220 F. The average load current

Ia = 1.25 A. Determine (a) the average output voltage Va (b) the peak-

to-peak ripple current of inductor ∆I and (d) the peak current of the

transistor, Ip. 10

8. a. Develop the open loop transfer function model of a separately excited

dc motor. Explain how could be the model be used to find the response

due to changes in reference voltage and load torque.

10

b.The step-down dc chopper has a resistive load, R = 20Ω and input voltage, Vs = 220 V. When

the chopper remains on, its voltage drop is Vch = 1.5 V and chopping frequency is f = 10KHz if

the duty cycle is 80%, determine (a) the average output voltage Va (b) the rms output voltage V0

(c) the chopper efficiency (d) the effective input resistance Ri and (e) the rms value of the

fundamental component of harmonics in the output voltage.



10EE46 –

TRANSFORMERS AND INDUCTION

MACHINES



SYLLABUS SUBJECT CODE: 106EE46 IA MARKS: 25 SUBJECT: TRANSFORMERS AND INDUCTION MACHINES EXAM HOURS: 3

EXAM MARKS: 100

HOURS / WEEK: 04 TOTAL HOURS: 52

PART – A

UNIT 1: Basic Concepts: Principle of operation of transformer, Constructional details of shell type and core

type single-phase and three-phase transformers. EMF equation, operation of practical power

transformer under no load and on load (with phasor diagrams).Concept of ideal transformers, current

inrush in transformers.

6 Hours

UNIT 2: Single-phase Transformers: Equivalent circuit, losses, efficiency, condition for maximum efficiency,

all day efficiency. Open circuit and Short circuit tests, calculation of parameters of equivalent circuit.

Regulation, predetermination of efficiency and regulation. Polarity test, Sumpner’s test.

6 Hours

UNIT 3:

Parallel operation - need, conditions to be satisfied for parallel operation. Load sharing in case of

similar and dissimilar transformers. Auto-transformers, copper economy. Brief discussion on

constant voltage transformer, constant current transformer. 6 Hours

UNIT 4: Three-phase Transformers: Introduction, choice between single unit three-phase transformer and

bank of single-phase transformers. Transformer connection for three phase operation – star / star,

delta / delta, star/delta,zigzag/star and vee/vee,choice of connection. Phase conversion - Scott

connection for three-phase to two-phase conversion. Labeling of three-phase transformer terminals,

phase shift between primary and secondary and vector groups. Conditions for parallel operation of

three-phase transformers,load sharing. Equivalent circuit of three-phase transformer. 8 Hours

PART – B

UNIT 5:

Basic Concepts of three phase Induction Machines: Concept of rotating magnetic field. Principle of

operation, construction, classification and types - single-phase, three-phase, squirrel-cage, slip-ring.

Slip, torque, torque-slip characteristic covering motoring, generating and braking regions of

operation. Maximum torque.

7 Hours

UNIT 6: Three-phase Induction Motor: Phasor diagram of induction motor on no-load and on load. equivalent

circuit Losses, efficiency, No-load and blocked rotor tests. Circle diagram and performance

evaluation of the motor. Cogging and crawling. 6 Hours

UNIT 7:

High torque rotors-double cage and deep rotor bars.Equivalent circuit and performance evaluation of

double cage induction motor. Induction generator – externally excited and self excited. Importance

of induction generators in windmills. 6 Hours



UNIT 8: (a) Starting and speed Control of Three-phase Induction Motors: Need for starter. Direct on line

(DOL), Star-Delta and autotransformer starting. Rotor resistance starting. Soft(electronic) starters.

Speed control - voltage, frequency, and rotor resistance. 4 Hours

(b) Single-phase Induction Motor: Double revolving field theory and principle of operation. Types

of single-phase induction motors: split-phase, capacitor start, shaded pole motors. Applications.

3 Hours

Text Books

1.Electric Machines, I. J. Nagrath and D. P. Kothari, T.M.H, 4th Edition,2010.

2. Electric Machines, Mulukuntla S.Sarma, Mukesh K.Pathak, Cengage Learing,First edition,2009.

References

1. Performance and Design of A.C. Machines, M. G. Say,C.B.S. Publishers, 3

rd Edition,2002.

2.Theory of Alternating Current Machines, Alexander Langsdorf, T.M.H, 2nd

edition,2001..

3.Electrical Machines and Transformers, Kosow, Pearson, 2nd

edition, 2007.

4. Transformers, BHEL, TMH,2nd

Edition, Eight reprint 2008.



LESSON PLAN

TRANSFORMER & INDUCTION MACHINES

Sub_Code : 10EE46 IA Marks: 25

Hrs/Week : 05 Exam Hrs: 03

Total Hrs : 60 Exam Marks: 100

UNIT

NO. UNIT NAME

NO OF

HOURS TOPICS TO BE TAKEN

1 Basic concepts

1 Concept of coupled circuits. Dot convention.

2 Writing network equilibrium equations in coupled circuits

3

Principle of Transformer action for voltage Transformation,

Construction of shell, core type of 1 phase& 3 phase

Transformers

4 power transformer, distribution transformer

5 Constant Voltage, Constant Current Transformers

6 Variable Frequency transformers

7 Autotransformers

2 Single-phase Transformers

8 Concept of ideal transformer. Equation for E.M.F.

induced in the two windings.

9 Voltage transformation ratio. Ideal transformer on no-load and loaded condition with phasor diagram

10 Concept of M.M.F. balance in the magnetic circuit of an

ideal transformer. Current transformation ratio

11 Concept of referring impedance connected on one side of

ideal transformer to the other side

12 . Practical transformer – how it deviates from the ideal transformer. Development of exact equivalent circuit of a

practical transformer

13 visualization of a practical transformer as an ideal transformer combined with imperfections of electric and

magnetic circuits

14 Approximate equivalent circuit of a practical transformer

15 Concept of ideal transformer, EMF Equation of

Transformer

3

Transformer

test

16 Phasor diagram of a practical transformer for both no-

load and loaded conditions

17 Losses, power and all-day efficiency, regulation.

18 Explanation of polarity test

Explanation of O.C & S.C test on transformer

19 Explanation of how to pre-determine efficiency and

regulation using these tests

20 Problem on Equivalent Circuits

21 Solving problems on losses in a transformer and hence to

determine efficiency & regulation

22

Solving problems on O.C & S. C test and hence to find

Efficiency & Regulation

Explanation of All Day Efficiency

Solving problem on the same

23

Explanation of Sumpner’s Test

Comparison with O.C & S.C- Test

Solving problems on the same

24 Parallel operation — need, conditions to be satisfied for parallel operation. Load sharing.



UNIT

NO. UNIT NAME

NO OF


4 Three-phase

Transformers

25 Explanation of 3- Ф connection of a transformer

Y-Y, ∆-∆ with vector diagram

26 Bank of single-phase transformers for three-phase

operation. Phase conversion using transformers

27 Y-∆, ∆-Y explanation with vector diagram

Application of above

28 Solving problems on efficiency & regulation using 3- Ф

connections

29 Explanation of V-V connection

Development of vector diagram

30 Explanation of Scott Connection

Solving problem on the same

31 Explanation of 3- Ф to 1- Ф conversion

Explanation of double ∆, double Y

32 Conditions for proper operation of three phase

transformers in parallel.

5a. Three-winding Transformers

33 Advantages/disadvantages of 3 winding transformer

tertiary winding

34 Equivalent circuit Analysis of a Two winding transformer

as a magnetically coupled circuit

5b.

Basic Concepts of

Induction

Machines

35 Explanation of development of revolving magnetic field

Explanation of construction of induction machine

36 Explanation of working principle of IM

37 Explanation of different types of induction machine

Explanation of squired cage induction machine

38 Explanation of Slip-ring type induction machine

Discussing Advantages & Disadvantages

39

Explanation of Deep-bar and Double rotor of an induction

machine

Development of equivalent circuit& Explanation of

synchronous speed slip

6 Three-phase

Induction Motor

40

Explanation of rotor quantities under standstill and running

conditions

Development of Torque Equation

41 Torque for starting conditions

Development of conditions for maximum torque

42 Explanation of Torque – Slip characteristics

Explanation of Torque – Speed characteristics

43 Solving problem on slip, Torque

44 Discussion of various losses in an induction machine

Power stages in an induction machine

45

Development of relation between rotor Culoss and Rotor

input

Discussion on the relation between rotor input &

mechanical power developed

46 Performance evaluation — output power, torque,

efficiency, current and power factor.Solving problems based on it



UNIT

NO. UNIT NAME

NO OF


7 Torque-slip

characteristics

47

Torque-slip characteristics covering motoring, generating and braking regions of operation. Induction

generator. No-load and blocked rotor tests. Circle

diagram and therefrom performance evaluation of the motor. Cogging and crawling. Equivalent circuit and

performance of double-cage and deep bar motors.

Explanation on No-load & Block rotor test

48 Explanation on No-load & Block rotor test

49 Development of Vector diagram for equivalent circuit

50 Explanation of construction of circle diagram using No-

load & block tests

51 Solving problems on Equivalent circuits& Explanation of

induction generator

52 Solving problems on Circle Diagram

53 Cogging and crawling. Equivalent circuit and

performance of double-cage and deep bar motors

8a.

Starting and

Control of

Three-phase Induction

Motor

54 Need for starter. DOL, Y-Delta and auto-transformer

starting. starting for Slip ring induction machine

55

Derivation of resistance for various studs &Solving

problems on slip ring motor starter

Discussion of speed control

56 Explanation of different types of speed control

57 Voltage, frequency, and rotor resistance variations. Solving problems on the above

8b. Single-phase

Induction

Motor

58 Double revolving field theory and principle of operation.

59 Types of single-phase induction motors

60 split-phase, capacitor start motors & Explanation of

shaded pole induction motor



TRANSFORMER & INDUCTION MACHINES

QUESTION BANK

11.. Explain working principle of transformer

22.. Derive E.M.F. Equation

33.. Explain the operation of Transformer on No-load

44.. Explain the operation of working of Transformer ON-LOAD

55.. Develop the Equivalent circuit of a Transformer

66.. Explain various losses in a transformer

77.. Explain the development of efficiency of a Transformer

88.. Derive condition for Maximum Efficiency and Explain All-day efficiency

99.. Define Regulation and derive Expression for same

1100.. Explain the condition of O.C. and S.C. test in a transformer

1111.. Explain how you can predetermine efficiency using O.C. and S.C. test

1122.. Explain Sumpner’s test

1133.. Explain polarity test in a transformer

1144.. Explain Scott-connection

1155.. Explain parallel operation of a transformer

1166.. Explain the construction of 3-phase transformer using single-phase transformers

PROBLEMS

1177.. A 100 KVA, 1000/400 volts single-phase transformer when excited at the rated voltage on

H.V.side draws no-load current of 3.0A at 0.5 p.f. Lagging. If it is excited from L.V.side at

rated voltage, determine no-load current, p.f. And power input.

1188.. A 5 KVA, 1000/200v, 50 HZ single-phase transformer grave following test results O.C.

Test (L.V.side)-200v, 1.2A, 90W S.C. test (H.V.side)-50v, 5A, and 110W. Calculate

parameters of Equivalent circuit and find efficiency and regulation at 0.8 p.f. Full load.

1199.. The maximum efficiency of a 500 KVA, 3300v/500v 50HZ single-phase transformer is 97%

and occurs at ¾ full bad U.P.F. If impedance is 10% calculate regulation at full load,

p.f. of 0.8 lagging.

2200.. Find all day of a 1500 KVA Transformer whose copper losses and iron losses at full load are

4.5 KW and 3.2 KW. During the day of 24 hours it is loaded as under.

NO OF HOURS LOAD IN KW P.F.

6 1200 0.8

10 900 0.75

4 300 0.8



5 0 0

2211.. A 3-phase step down transformer is connected to 6.6 KV mains and takes 10A. Calculate

secondary line voltage, line current and output for the following connections.

a. Star-star

b. Star-delta

c. Delta-star

d. Delta-delta

2222.. Three 1100/ 110v transformers connected Delta/Delta supply a lighting load of 100 KW.

One of these transformers is damaged and hence removed for repairs. What currents will be

flowing in each transformer when

a. 3 transformers were in service

b. Two transformers in service

2233.. Two 2200/1100v transformers are operated in parallel to share a load of 125KVA at 0.8 P.F.

lagging.

a. Transformer 1 100KVA 0.9% resistance and 10% reactance

b. Transformer 2 50KVA 1% resistance and 5% reactance

Find load carried by each transformer.

2244.. What is an Auto-transformer what are its advantages over 2 winding transformers.

2255.. Show that the A.T. takes less copper to that of two winding transformer.

2266.. Explain the Magnetic inrush in a transformer.

2277.. Explain the harmonics in a transformer

2288.. Explain the welding transformer

2299.. Explain constant voltage transformer

3300.. Explain constant current transformer

3311.. Explain the functions of breather and conservator in a transformer

3322.. Explain the various methods of cooling of a transformer

3333.. Explain the working of a current booster transformer

3344.. Explain the working principle of a 3-phase induction motor.

3355.. Explain the different types of induction motor

3366.. Explain the development of revolving Magnetic field in a 3-phase induction motor.



3377.. Define slip also Explain why rotor of an induction motor cannot run at synchronous speed.

3388.. Explain the various quantities referred to rotor side.

3399.. Explain torque and device expression for same

4400.. Derive the condition for Max. torque-slip and hence obtain expression for same

4411.. Explain torque-slip and torque speed characteristics

4422.. Explain the various power stages in an induction motor

4433.. Develop the relationship between the rotor input and rotor cu loss

4444.. Develop the relationship between Mechanic power developed and rotor input

4455.. Explain the vector diagram of a 3-phase I.M

4466.. Explain the development of ‘Rl’ of a 3-phase induction motor

4477.. Explain the no-load and block rotor test of a 3-phase I.M.

4488.. Explain the development of equivalent circuit using these tests

4499.. Explain the importance of studying circle diagram

5500.. Explain the procedure for construction of the circle diagram

5511.. Explain why induction motors draw high current at starting

5522.. Explain the various starters used for starting the I.M.

5533.. Define the term speed control

5544.. Explain the various methods of controlling the speed of an I.M.

5555.. A 6-pole, 50Hz Three-Phase Induction Motor is 60Kw The stator losses total 1Kw. Find the

total mechanical power developed and the rotor cu losses per phase with a slip of 3%

5566.. The power input to the rotor of a 440v 50Hz 6-Pole Three-Phase Induction Motor is 80Kw

the rotor emf is observed to make 100 complete alternation per minute calculate

1) Slip

2) Rotor speed

3) Rotor cu loss per phase

4) Mechanical power developed

5) Rotor resistance per phase if rotor current is 65A

5577.. Three-Phase Induction Motor has efficiency of 0.9 when load is 50HP at this load stator cu

loss is equal to iron loss which is equal to rotor cu loss mechanical loss is one third of no-

load loss calculate slip.

5588.. A Three-Phase Induction Motor has a 4-Pole Star connected Stator winding the motor runs

on 50 Hz supply 200V b/w lines the rotor resistance per phase and standstill reactance is are

0.1Ω and 0.9 Ω respectively. The ratio of rotor to stator turns is 0.67. Calculate

1) Total torque at 4% slip

2) Total mechanical power at 4% slip



3) Maximum torque

4) Speed at maximum torque

5) Maximum mechanical power

5599.. Draw the no load SC diagram for a 5HP 200V 50Hz Three-Phase Induction Motor star

connected has the following test data

1) No load line voltage 200V ; Line current 5A ; Total input , 350watts.

2) Line voltage 100V ; Line current 26A ; Total input , 1700watts.

Estimated from the diagram for full load condition the line current and power factor ;also the

maximum torque in terms of full load torque .The rotor Cu loss at stand still is ½ the total cu loss

.

6600.. Draw the noload and SC circle diagram for Three-Phase Induction Motor which is delta

connected 30 HP, 500V 50Hz cage Type Induction Motor the figure below give the

measurements of line current & voltage and reading of watt meters connected to

measurement of power input

1) No load line voltage 500V ; Line current 8.3A ; + 2.85Kw, -1.35Kw.

2) Short Circuit voltage 100V ; Line current 32A ; -0.75Kw,+2.35Kw

Find from the diagram Full load line current ,pf, efficiency maximum output

6611.. Explain why starter is required for a 3-Phase Induction motor.

6622.. Explain different types of starters

6633.. Explain star-delta starter

6644.. Explain Auto-transformer starting

6655.. Explain Rotor resistance starting for slip-ring motor

6666.. A 3- φ cage rotor induction has a full-load slip of 4% the standstill current at rated voltage is

6.5 times full-load current. Find autotransformer tapping to give full-load at starting and find

line current at starting.

6677.. A 6-pole 50 Hz 3-φ induction motor has rotor resistance = 0.2 Ω / phase . Maximum torque

is 200 N-m at 850rpm .Find

a. Torque at 4% slip .

b. Additional rotor resistance to get two-third of max torque at starting neglect

stator impedance.

68. Explain term Speed control

69. Explain variable voltage, variable frequency and methods of speed control.

70. Explain Rotor-Resistance method of speed control

71. Explain pole-changing method of speed control

72. Explain Deep Bar and double cage motor



73. Develop Equivalent circuit of above

74. Explain working principle of Induction generator

75. The outer and inner cages of double cage induction motor have impedance equal to

(0.01+j.4)Ω respectively. Find the ratio of torque due to the two cages

a. At starting

b. When running with a slip of 0.04. Neglect stator impedance.

76. Explain the concept of double revolving theory for a Single - Phase Induction Motor

a. Explain why Single - Phase Induction Motor does not start on its own

b. Develop the Equivalent circuit for a Single - Phase Induction Motor

c. Describe the following methods of starting Single - Phase Induction Motor

i. Capacitor start

ii. Split phase

d. Explain shaded pole type Single - Phase Induction Motor

e. Find the input current ,pf and efficiency of a ½ H.P 110V ,50Hz Single - Phase Induction

Motor based on double field revolving theory from following data at

i. Slip of 5%

ii. Stator Impedance = (2+j3)Ω

iii. Equivalent Rotor Impedance = (2+j3)Ω

iv. Magnetizing impedance = 50Ω

Friction and windage loss = 25watts



10ESL47 –

MICROCONTROLLERS LAB



SYLLABUS

MICROCONTROLLERS LAB

(Common to EC/TC/EE/IT/BM/ML)

Sub Code : 10ESL47 IA Marks : 25

Hrs/ Week : 03 Exam Hours : 03

Total Hrs. : 42 Exam Marks : 50

I. PROGRAMMING

1. Data Transfer - Block move, Exchange, Sorting, Finding largest element in an array.

2. Arithmetic Instructions - Addition/subtraction, multiplication and division, square, Cube – (16 bits

Arithmetic operations – bit addressable).

3. Counters.

4. Boolean & Logical Instructions (Bit manipulations).

5. Conditional CALL & RETURN.

6. Code conversion: BCD – ASCII; ASCII – Decimal; Decimal - ASCII; HEX - Decimal and Decimal

- HEX .

7. Programs to generate delay, Programs using serial port and on-Chip timer / counter.

Note: Programming exercise is to be done on both 8051 & MSP430.

II. INTERFACING:

Write C programs to interface 8051 chip to Interfacing modules to develop single chip solutions.

8. Simple Calculator using 6 digit seven segment displays and Hex Keyboard interface to 8051.

9. Alphanumeric LCD panel and Hex keypad input interface to 8051.

10. External ADC and Temperature control interface to 8051.

11. Generate different waveforms Sine, Square, Triangular, Ramp etc. using DAC interface to 8051;

change the frequency and amplitude.

12. Stepper and DC motor control interface to 8051.

13. Elevator interface to 8051.



10EEL48 –

POWER ELECTRONICS LAB



SYLLABUS

10EEL48 POWER ELECTRONICS LAB

Subject Code : 10EEL48 IA Marks : 25

No. of Practical Hrs./ Week : 03 Exam Hours : 03

Total No. of Practical Hrs. : 42 Exam Marks : 50

1. Static characteristics of SCR.

2. Static characteristics of MOSFET and IGBT.

3. SCR turn-on circuit using synchronized UJT relaxation oscillator.

4. SCR Digital triggering circuit for a single-phase controlled rectifier and A.C. voltage

controller.

5. Single-phase controlled full-wave rectifier with R and R-L loads.

6. A.C. voltage controller using TRIAC and DIAC combination connected to R and R-L loads.

7. Speed control of a separately excited D.C. motor using an IGBT or MOSFET chopper.

8. Speed control of D.C. motor using single semi converter

9. Speed control of a stepper motor.

10. Speed control of universal motor using A.C. voltage controller.

11. MOSFET OR IGBT based single-phase full-bridge inverter connected to R load.

12. Study of commutation using LC circuits and auxiliary circuits.

*************

iv sem new1 - mvjce & electronics engg. iv sem mvjce 2 course diary syllabus engineering...

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