Shivaji University, Kolhapur Department of Electrical ... concept of braking of DC separately excited motors (Rheostatic, Regenerative and plugging). Parallel and series operation

SE Electrical (Semester-IV) Page 1

Shivaji University, Kolhapur

Department of Electrical Engineering

Course plans for S.E. (Semester-IV)

Scheme of Teaching & Examination

Sr.

No Course Title

Teaching Scheme per

Week Examination (Marks)

L T P Contact

Hours

Theory TW POE Total

1 DC Machines and

Transformer 4 2 6 100 25 50 175

2 Power Electronics 3 2 5 100 25 50 175

3 Power Systems I 4 2 6 100 50 150

4 Network Analysis

and Synthesis 3 3 100 100

5 Control System I 4 2 6 100 50 150

Total 18 8 26 500 150 100 750

INDEX

Sr. No. Subject Code Page No.

1. DC Machines and Transformer CE 206 02

2. Power Electronics CE 207 12

3. Power Systems I CE 208 24

4. Network Analysis and Synthesis CE 209 35

5 Control System I CE 210 49


Course plan for DC Machines and Transformers

Course Code EE 206 Course DC Machines and Transformers

Prepared by Mr.A.B.Kumbhar

Mr.S.R.Lokhande

Semester AY 2017-18, Sem II

Pre-requisites Basic knowledge in electric circuit analysis, constructional details and

operational principles of various dc machines and transformers

Course Outcomes

At the end of the course the students should be able to:

CO206.1 Describe1 the constructional details of the DC machines and Transformers and

also Extend the significance of different connections of three phase transformers

CO206.2

Estimate2 the performance of any DC machine (shunt, series or compound) and

single phase transformer, by conducting suitable experiments and report the

results.

CO206.3 Analyze4, the various speed control and braking techniques for dc motors

CO206.4

Demonstrate3 the simulation models and prototype modules in view of

implementing any control technique upon dc motors and single phase

transformers for various applications.

CO206.5 Explain2special types of transformer like pulse transformer, isolation

transformers.

CO206.6 Explain2 procedure to draw phasor diagrams of three phase transformer.

Mapping of COs with POs

POs

COs a b c d e f g h i J k

CO206.1 3

CO206.2 3

CO206.3 2

CO206.4 2

CO206.5 2

CO206.6 2

1 Mild correlation 2 Moderato correlation 3 Strong correlation


Course Contents

Unit

No. Title

No of

Hrs

01

ELECTROMECHANICAL ENERGY CONVERSION PRINCIPLE:

Singly Excited Magnetic System and Doubly Excited Magnetic system.

Physical concept of torque production; Electromagnetic torque and

Reluctance torque. Concept of General terms pertaining to Rotating

Machines: Electrical & Mechanical degree, Pole pitch, Coil, Generated

EMF in full pitched coil, Generated EMF in a short pitched coil, EMF

polygon, Distribution factor, Pitch factor. MMF produced by Distributed

Windings, MMF of a coil, MMF of single phase distributed Winding,

MMF waveform of Commutator machines.

06

02

DC.MACHINES :Construction of D.C. machines, commutator and brush

arrangement, EMF equation, torque equation, armature winding and its

types, armature reaction: Demagnetization and cross magnetization

ampere turns, principle of compensation, compensating winding, methods

to minimize the effect of armature reaction, Process of commutation,

Methods to improve commutation, concept of Motoring, types of motor,

Concept of back emf, characteristics of d.c. motors, Method of speed

controls, concept of braking of DC separately excited motors (Rheostatic,

Regenerative and plugging). Parallel and series operation of motor, starter

for shunt and series motor, Design of grading of resistance of starters,

testing: Losses and efficiency, Brake load test, Swinburne test,

Hopkinson’s test, Retardation test, field test. Application of Generator and

Motor.

14

03

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

10


Operation and Unequal Voltage Operation Introduction to High

Frequency Transformer, Pulse Transformer, Isolation Transformer and its

3-PHASE TRANSFORMER: Determination of polarity and connections

(star/star, star/delta, delta/star, star/zigzag, delta/zigzag, open delta),

Phasor group’s performance of transformers: heat run test, sumpners test,

Equivalent delta. Effect of unbalanced loading, Production of Harmonics

in Transformer and its suppression, 3 phase to 2 phase transformation,

Scott connection 3 phase to 6 phase connections, Double star and Double

delta, 3 winding transformer: Parameter estimation, application, Parallel

operation of Transformers, Introduction to Tap changing transformer and

its function.

08

04

SPECIAL TRANSFORMERS: Potential transformer, Current

transformer, Pulse transformer, Audio frequency transformer, Grounding

transformer, Pulse transformer.

02

Text Books/ Reference Books:

Sr. No. Title of Book Author Publication Topics

covered

01 Electric Machinery. , Bimbhra P.S Khanna

Publisher.

1

02 Generalized Machine Theory, Bimbhra P.S Khanna

Publisher.

2,3

03 Electric Machines Kothari D.P,

Nagrath I.J

TMH

Publishcations.

1,4

04 Electric Machinery A.E. Fitzgerald,

Kingsly, Stephen.

Tata McGraw

Hill

2,3

Evaluation scheme:

Examination

Scheme

Theory Term Work POE Total

Max. Marks 100 25 50 175

Contact

Hours/ week

4 --- 2 6


Scheme of Marks

Unit No. Title Marks

1

Electromechanical Energy Conversion Principle

16

2 Dc.Machines

20

3 Transformer-

Single Phase Transformer

18

Three Phase Transformer

24

4 Special Transformer

18

Course Unitization

CO Evaluation Remark

CO206.1 CAT 1 1 question on unit 1 and 2 with 15 marks each

CO206.2


CO206.4


CO206.6

Unit wise Lesson Plan

Unit

No

Unit Title Planned Hrs.

1 Electromechanical Energy Conversion Principle

06

Lesson schedule

Class

No.

Details to be covered


1 Singly Excited Magnetic System and Doubly Excited Magnetic system MMF

2 Physical concept of torque production; Electromagnetic torque and Reluctance torque

3 Concept of General terms pertaining to Rotating Machines: Electrical & Mechanical

degree

4 Pole pitch, Coil, Generated EMF in full pitched coil, Generated EMF in a short pitched

coil

5 EMF polygon, Distribution factor, Pitch factor. MMF produced by Distributed

Windings

6 MMF of a coil, MMF of single phase distributed Winding,

7 Waveform of Commutator machines

Review Questions

Q1 Explain Physical concept of torque production. CO206.1

Q2 Explain Concept of General terms pertaining to Rotating Machines. CO206.1

Unit

No Unit Title

Planned Hrs.

2 DC Machines. 14

Lesson schedule

Class

No.


1 Construction of D.C. machines, commutator and brush arrangement, , Process of

commutation,

2 EMF equation, torque equation, armature winding and its types.

3 Armature reaction: Demagnetization and cross magnetization ampere turns, principle

of compensation, compensating winding, methods to minimize the effect of armature

reaction,

4 Methods to improve commutation, concept of Motoring, types of motor, Concept of

back emf, characteristics of d.c. motors.

5 Method of speed controls, concept of braking of DC separately excited motors

(Rheostatic, Regenerative and plugging).

6 Parallel and series operation of motor, starter for shunt and series motor.

7 Design of grading of resistance of starters.


8 Parallel and series operation of motor, starter for shunt and series motor

9 Design of grading of resistance of starters, testing: Losses and efficiency, Brake load

test, Swinburne test.

10 Hopkinson’s test, Retardation test, field test. Application of Generator and Motor.

Review Questions

Q1 Explain constructional details of dc machines. CO206.2

Q2 Explain concept of back emf& its importance? CO206.2

Q3 Explain Armature reaction of dc machine & explain its types. CO206.2

Unit

No

Unit Title

Planned Hrs.

3A) Single Phase Transformers

10

Lesson schedule

Class

No.


1 Review of EMF equation, Equivalent Circuit and Phasor diagram of Transformer.

2 Voltage Regulation of Transformer: - Voltage Regulation, Condition for Zero Voltage

Regulation, Condition for Maximum Voltage Regulation.

3 Transformer Losses and Efficiency - Losses, Efficiency, Condition for Maximum

Efficiency, Energy Efficiency, All day Efficiency, Separation of Hysteresis and Eddy

current losses.

4 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.

5 Parallel Operation: No load Operation, On load Operation of Transformer.

Review Questions

Q1 Explain in detail emf equation of Transformer. CO206.3

Q2 Explain Equivalent Circuit and Phasor diagram of Transformer. CO206.3

Unit

No Unit Title

Planned Hrs.

3B) 3-PHASE TRANSFORMER 08

Lesson schedule

Class Details to be covered


No.

1 Determination of polarity and connections (star/star, star/delta, delta/star, star/zigzag,

delta/zigzag, open delta.

2 Phasor group’s performance of transformers.

3 Heat run test, sumpners test, Equivalent delta. Effect of unbalanced loading, Production

of Harmonics in Transformer and its suppression.

4 3 phase to 2 phase transformation, Scott connection 3 phase to 6 phase connections.

5 Double star and Double delta, 3 winding transformer: Parameter estimation,

application.

6 Parallel operation of Transformers.

Review Questions

1 Explain different groups of three phase transformer. CO206.4

2 Explain operation of three phase transformer on load condition. CO206.4

Unit

No Unit Title Planned Hrs.

4 SPECIAL TRANSFORMERS 02

Lesson schedule

Class

No.


1 Potential transformer, Current transformer, Pulse transformer,

2 Audio frequency transformer, Grounding transformer, Pulse transformer.

Review Questions

Q1 Explain in detail Potential transformer &Current transformer with its

applications.

CO206.5

Q 2 Explain in details Audio frequency transformer, Grounding transformer. CO206.5

Q3 Explain in detail Pulse transformer. CO206.5

Model Question Paper

Course

Title

DC Machines & Transformers Marks:

100

Duration 3 Hours

Instructions:

1] Attempt any three questions from each section.


2] Assume necessary data if required.

1 a Draw a neat sketch of DC machine showing four poles. Explain the

function of each part of DC machines.

08

b Explain the concept of back emf & hence explain the speed control

methods of DC shunt motors.

07

2 a Explain lap winding & wave winding of dc machines armature

&hence explain

08

b A dc generator is connected to 220 volt dc mains. The current

delivered by the generator main is 100Amp. The armature resistance is

0.1Ω. The generator is driven at a speed of 400 rpm. Calculate

(i) The induced emf

(ii) The electromagnetic torque.

(iii) The mechanical power input to the armature. Neglect iron

friction & winding losses.

07

3 a What is an armature reaction? Explain demagnetizing & cross

magnetizing effect in DC machine.

08

b A 220 volt compound generator is supplying a load of 100 amp. At

220 volt. The resistance of arm. & field & series field is 0.1 Ω & 50 Ω

& 0.06 Ω resp. Find the induced emf & Ia when the machine is

connected (1) short shunt (2) long shunt. Neglect armature reaction &

brush drop.

07

4

Write a short note on (Any three)

[1] Types of Torques in DC Machine.

[2] Doubly Excited machine.

[3] Lap winding & wave winding.

[4] Process of Commutation.

[5] Speed control methods of DC Motor.

18

5 a Explain equivalent diagram &Phasor diagram of single phase

Transformer.

07

b In a 25KVA 2000/250 V 1 Phase Xmer the iron & Full load Cu losses

are 350 & 400 Watts resp. Calculate the effiency at UPF on (1) Full

load (2) Half load.

08

6 a Explain the Testing of Transformer & hence explain Sumpner test on

transformer.

07

b Two single phase Xmers A & B are connected in parallel. They have

same KVA but their resistances are 0.005 & 0.01 resp. per unit & their

leakage reactances 0.05 & 0.04 per unit. If A is operated on full load at

08


a p.f. 0.8 lag what will be the load &p.f. of B.

7 a List Different Phasor Groups & hence draw phasor diagram of each. 08

b Explain in detail heat run test of 3 Phase Xmer.. 07

8 a Explain Parallel operation of Three phaseXmer& hence explain

applications of same.

08

b Explain Potential Xmer, Current Xmer with Diagrams. 07

List of Experiment-

Expt. No

Experiment Title

1 Speed Control of a D.C Shunt Motor.

2 Brake Test on a DC Shunt Motor.

3 Brake Test on a DC Compound Motor

4 Open Circuit Characteristics of a DC Shunt Generator.

5 Load test on a D.C. Shunt Generator

6 Hopkinson Test

7 Retardation Test on D.C. Shunt Motor

8 Swinburne's Test

9 Separation Of Core Losses

Assignments

Question Unit No.1-Assignment

1 Explain constructional details of dc machines.

2 Explain concept of back emf& its importance?

3 Explain Armature reaction of dc machine & explain its types.


4 Compare squirrel cage motor with slip ring motor.

Unit No.2-Assignment

1 Explain in detail emf equation of Transformer.

2 Explain Equivalent Circuit and Phasor diagram of Transformer.

3 Explain construction and working of transformer

4 Draw the phasor diagram of transformer on inductive and capacitive load


1 Explain in detail Potential transformer &Current transformer with its applications.

2 Explain in details Audio frequency transformer, Grounding transformer.

3 Explain in detail Pulse transformer, Pulse transformer

4 Explain different application of Audio frequency transformer

1 Unit No.4-Assignment

2 Explain different groups of three phase transformer.

3 Explain operation of three phase transformer on load condition.

4 Explain construction and working of alternator

5 Explain working of alternator on resistive, inductive and capacitive load. Draw

phasor diagram


1 Explain in detail Potential transformer &Current transformer with its applications.

2 Explain in details Audio frequency transformer, Grounding transformer.

3 Explain in detail Pulse transformer.

4 Explain CT amd PT with its diagram and specification


1 Explain different losses occurs in transformer

2 Explain how open circuit and short test carried on single phase transformer

3 Explain polarity test of transformer

4 How copper and core loses are minimized in transformer


Course plan for Power Electronics

Course Code EE 207 Course DC Machines and Transformers

Prepared by Mr.P.D.More Semester AY 2017-18, Sem II

Pre-requisites This course requires the student to know about the basic concepts of Basic

Electronics & Power system.

Course Outcomes


CO207.1 Distinguish3 different types of power semiconductor devices and their switching

characteristics.

CO207.2 Understand3 the different concepts of single phase and three phase uncontrolled

rectifiers.

CO207.3 Describe3 the operation, characteristics and performance parameters of single

phase controlled converter.

CO207.4 Describe3the operation, characteristics and performance parameters three phase

controlled converter

CO207.5 Describe3 cycloconverters.

CO207.6 Describe3 the operation, switching techniques and basic topologies of DC-DC

switching regulators

CO207.7 Apply2 the different modulation techniques of pulse width modulated inverters.


POs

COs

a b c d E f G h i j K

CO 207.1 3

CO 207.2 2 1

CO 207.3 2 3 1

CO 207.4 3 1

CO 207.5 3 1

CO 207.6 3 1

CO 207.7 2 3 1



Course Contents

Unit

No.

Titles No. of

Hours

1

Power Semiconductor Devices: Power Diodes – working, characteristics,

types, ratings, reverse recovery characteristics, series-parallel operation,

applications of Power diodes. SCR-basic structure, working, static and

switching characteristics, types, ratings, reverse recovery characteristics,

Gate characteristic, turn on methods, series-parallel operation, protection,

triggering circuits, applications Gate characteristic, turn on methods, series-

parallel operation, protection, triggering circuits, applications of GTO,

MOSFET and IGBT; TRIAC-structure, static characteristics, different modes

of operations, applications of TRIAC.

08

2

Rectifiers: Single phase Half wave with R, RL load, Single phase and Three

phase full bridge rectifier with R, RL and RLE load, mathematical

expressions, issue of harmonics, applications of diode rectifiers, Numerical

expected.

05

3

Single phase converter: Single phase fully controlled and half controlled

converters - Continuous and is continuous mode of conduction, analysis with

R,RL, RLE load, expressions for average output voltage, RMS, TUF, THD,

Ripple factor, Modes of operation in the voltage-current plane, operation as

an inverter, Dual converter, Simultaneous and non-simultaneous control,

Effect of source inductance, harmonics analysis, Numerical expected.

06

4

Three phase converter : Three phase half wave converter, R, RL, RLE load,

expressions for average output voltage, RMS, TUF, THD, Ripple factor, DC

magnetization of the input transformer, harmonics analysis. Three phase

fully controlled and half controlled converters with R, RL, RLE load,

expressions for average output voltage, RMS, TUF, THD, Ripple factor,

displacement factor, Inverter mode of operation, harmonic analysis, Effect of

source inductance, Three phase dual converters, applications of controlled

converters and dual converters. Numerical expected.

04


5

Cyclo-converters: Single phase to single phase cycloconverter with R and

RL load, Three phase to Single phase cycloconverter, Three phase to three

phase 3 and 6 pulse converter, circulating and non-circulating mode,

applications of cycloconverters.

05

6

Chopper: Classification, Principle of working of Step-down Chopper, Step-

up Chopper, Analysis, and voltage control methods, Morgan Chopper, Jones

Chopper, multiphase choppers. Numericals expected.

05

7

Inverters: Voltage source inverters, Single phase and three-phase- six step

(120/180 degree mode of operation), thyristorised bridge circuits, output

waveforms for R and R-L loads, harmonic analysis, PWM techniques-

Single, Multiple and Sinusoidal PWM, applications of VSI, current Source

Inverter, ASCCSI, advantages, applications of CSI, Numericals expected.

05

Reference books:

Sr. No. Title of book Author Publisher/Edition Topics

1) Power electronics Dr. P.S. Bimara Khanna Publication 15th

edition, 2010. 1,2,3,4,5,6

2) Power Electronics

M.D. Singh K.B.

Khanchandani

Tata Mc-Graw-Hill New

Delhi,1998 4,5,6,7

3) Power Electronics M H Rashid Prentice hall of India 2nd

edition, New Delhi 1999. 3,4,5,6,7

4) Power electronics M.D. Singh and

K.B. Khanchandani

Tata Mc-Graw-Hill, New

Delhi, 1998. 5,6,7

Evaluation scheme:

Examination

Scheme


Max. Marks 100 25 50 175

Contact

Hours/ week

3 ------- 2 6


Scheme of marks

Section Unit No. Title Marks*

I

1 Power Semiconductor Devices 24

2 Rectifiers 8

3 Single phase converter 16

4 Three phase converter 24

II

5 Cyclo-converters 16

6 Chopper 24

7 Inverters 24

Course Unitization



CO207.2


CO207.4

CO207.5

CAT 3 1 question on unit 5 ,6 & 7with 15 marks each CO207.6

CO 207.7


Unit No Unit Title Planned Hrs.

01 Power Semiconductor Devices 08

Lesson schedule

Class

No.


1 Importance of power electronics and Applications,

2 Power Diodes – working, characteristics, types, ratings, reverse recovery characteristics.

3 Series-parallel operation, applications of Power diodes.


4 Transistor, MOSFET, IGBT, Construction, working,

5 SCR-basic structure, working, static and switching characteristics,

6 Types, ratings, reverse recovery characteristics, Gate characteristic, turn on

methods.Numerical problems

7 Series-parallel operation, protection, triggering circuits, Applications of GTO, MOSFET

and IGBT

8 TRIAC-structure, static characteristics, different modes of operations, applications of

TRIAC

Review Questions

Q1 Draw V-I characteristics of triac. And explain working principle. CO 207.1

Q2 Draw V-I characteristics of SCR. And explain working principle CO 207.1

Q.3 Draw V-I characteristics of IGBT. And explain working principle.

CO 201.1

Q.4 Compare SCR, Power BJT, MOSFET and IGBT on the following basis,

i. Operating frequency

ii. Trigger circuit

iii. Drop

iv. Snubbers

v. V-I rating

CO 207.1


02 Rectifiers 5

Lesson schedule

Class

No.


1 Single phase Half wave with R, RL load, RL and RLE load, mathematical expressions,

2 Single phase full bridge rectifier with R, RL and RLE load, mathematical expressions

tics

3 Three phase full bridge rectifier with R, RL and RLE load, Mathematical expressions

4 Issue of harmonics, applications of diode rectifiers

5 Numerical (1 phase, 3 phase Rectifier).

Review Questions

Q1 Describe a 3 phase full wave diode bridge rectifier with a circuit diagram

and relevant waveform for load R. Hence derive expression of average

CO 207.2


and RMS value of output voltage and obtain there from VRF, FF,

rectifier efficiency and TUF.

Q2 Explain the operation of 1 phase FWR with Bridge connection, and

waveforms. Hence derive expression of average and RMS value of

output voltage.

CO 207.2

Q3 Explain the operation of 1 phase half wave rectifier with R-L load. Draw

the relevant waveforms.

CO 207.2

Q4 Draw the circuit diagram for single phase, full bridge diode rectifier with

resistive load. Draw the input and output voltage and current waveforms.

Derive the expression for output DC voltage, output RMS voltage and

form factor.

CO 207.2


03 Single Phase Converter 06

Lesson schedule

Class

No.


1 Single phase fully controlled and half controlled converters Single phase full bridge

rectifier with R, RL and RLE load, mathematical expressionstics,

2 Single phase fully controlled and half controlled converters,

3 Continuous and is continuous mode of conduction, analysis with R, RL, RLE load,

4 Expressions for average output voltage, RMS, TUF, THD, Ripple factor,

5 Modes of operation in the voltage-current plane, operation as an inverter, Dual

converter,

6 Simultaneous and Non-simultaneous control, Effect of source inductance, harmonics

analysis, Numerical.

Review Questions

Q1

Describe the working of 1-phase fully controlled bridge converter in the

following two modes:

a. Rectifying mode

b. Inversion mode.

Also sketch the following waveforms for α=45° and α=120°

i. Load voltage.

ii. Load current

iii. SCR current and voltage.

iv. Supply voltage and current.

CO 207.3

Q2 Single phase full converter bridge is connected to RLE load. The source

voltage is 230V, 50Hz. The average load current of 10A is continuous

CO 207.3


over the working range. For R=0.4Ω and L= 2mH. Compute

i. Firing angle delay for= 120V

ii. Firing angle delay for= -120V

iii. Indicate which source is delivering power to load in i) & ii)

iv. If output current is assumed constant. Find the input power factor

for both i) and ii).

Unit No. Unit Title Planned Hrs

04 Three Phase Converter 04

Lesson schedule

Class

No. Details to be covered

1 Three phase half wave converter, R, RL, RLE load, Numericals,

2 Expressions for average output voltage, RMS, TUF, THD, Ripple factor, DC

magnetization of the input transformer, harmonics analysis,

3 Three phase fully controlled and half controlled converters with R, RL, RLE load,

Numericals,

4 Expressions for average output voltage, RMS, TUF, THD, Ripple factor, displacement

factor.

Review Questions

1 Describe the working of 3 phase semi converter with feeding to R load.

Derive expression of average and RMS value of output voltage.

CO 207.4

2 Draw circuit diagram of single phase circulating current type Dual

converter. Explain operation with the help input ac voltage waveform,

output DC voltage waveform of the two converters and the waveform of

inductor voltage. Explain the need of the inductor

CO 207.4

3 Draw circuit diagram of 3 phase circulating current type Dual converter.

Explain operation with the help input ac voltage waveform, output DC

voltage waveform of the two converters and the waveform of inductor

voltage.

CO 207.4

Unit No. Unit Title

Planned Hrs.

05 Cycloconverters 05

Lesson schedule

Class


1,2 Single phase to single phase cyclo-converter with R and RL load, circulating and non-

circulating mode, applications of cyclo-converters,

3,4 Three phase to Single phase cyclo-converter,


5 Three phase to three phase 3 and 6 pulse converter.

Review Questions

1 Explain the principle and operation of 1 phase Cycloconverter. CO 207.5

2 Explain the principle and operation of 3 phase Cycloconverter. CO 207.5


06 Choppers 05

Lesson schedule

Class


1 Classification, Principle of working of Step-down Chopper.

2 Step-up Chopper, Analysis

3 Voltage control methods, Morgan Chopper

4 Jones Chopper, multiphase choppers,

5 Numericals

Review Questions

1 Differentiate between constant frequency and variable frequency control. CO 207.6

2 Discuss the principle of operation of DC-DC step down chopper with

suitable waveforms. Derive the expression for its average dc voltage.

CO 207.6


07 Inverters 05

Lesson schedule

Class


1 Single phase Voltage source inverters,

2 Three-phase- six step (120/180 mode of operation),

3 Thyristorised bridge circuits, Output waveforms for R and R-L loads, Harmonic

analysis,

4 PWM techniques-Single, Multiple and Sinusoidal PWM,

5 Applications of VSI, current Source Inverter, ASCCSI, Advantages, Applications of

CSI. Numericals.


Review Questions

1 What is PWM? Explain the various techniques involved in it. CO 207.7

2 Explain in detail the 120 mode and 180 mode operation of inverter in

detail.

CO 207.7

3 What with neat diagram and waveform the series resonant inverter. CO 207.7


Course Title

Duration Marks

POWER ELECTRONICS

3 Hours 100

Instructions:


2] Figure to right indicates full marks.


1 a Draw and explain in detail static V-I characteristic of SCR by

considering different mode of operation.

8

b The voltage rating in particular circuit is 3.2kV. SCRs with voltage

rating of 60V are available. Calculate the number of SCRs required to

be connected in series. Also design the state equalizing circuit for the

above series connection if maximum blocking current of the SCRs at

the rated voltage is 6mA.

8

2 a Draw the circuit diagram of single phase half-wave diode rectifier

with freewheeling diode and R-L load. Explain the circuit operation.

Draw the waveforms of input and output voltage and current assuming

load current has no ripple. Derive the expressions for output DC

voltage.

8

b Draw and explain reverse recovery characteristics of power diodes.

Explain the terms:

1. Reverse recovery time trr

2. Peak reverse current Irr.

3. Reverse recovery charge Qrr.

8

3 a Describe the working of 1 phase fully controlled bridge converter in

the rectifier mode. And derive the rectification mode. derive

expression of average and RMS value of output voltage

8

b Describe the working of 1 phase half wave controlled bridge converter

with feeding to R load. Derive expression of average and RMS value

8


of output voltage

4 a Describe the working of 3 phase semi converter with feeding to R

load. Derive expression of average and RMS value of output voltage

8

b Draw circuit diagram of 3 phase circulating current type Dual

converter. Explain operation with the help input ac voltage waveform,

output DC voltage waveform of the two converters and the waveform

of inductor voltage.

8

5 a Explain the working of step-down chopper with neat diagram. Derive

an expression for average output voltage and rms output voltage. Draw

the graphs of average output voltage and rms output voltage as a

function of duty cycle.

8

b Explain Morgan’s chopper with neat circuit diagram and waveforms. 10

6 a List various PWM techniques. Explain with neat waveforms

sinusoidal pulse width modulation.

8

b Explain single phase current source inverter with diagram and

waveforms.

8

7 a Explain with neat diagram and waveforms the series resonant inverter. 8

b Discuss the working of three phase 120° mode operation of voltage

source inverter with circuit diagram and waveforms.

8

8 a Explain with neat diagram and working of three auto sequential

current source inverter.

8

List of Experiment-

Expt. No Experiment Title

1 SCR/TRIC/ DIAC/ MOSFET/IGBT Characteristics.

2 Triggering circuits/phase control.

3 Single phase FW bridge converter feeding DC motor.

4 Three Phase Converter (HW and FW bridge).

5 Dual Converter.

6 Cycloconverters feeding Resistive load.

7 Jones/ Morgan Chopper.

8 Single phase / three phase Inverter with Resistive/Induction Motor load.

9 Simulation of Converter / Chopper using SPICE/MATLAB.


10 Simulation of PWM Inverter using SPICE/MATLAB.

Assignments

Question Unit No.1 Assignment

1 Explain the principle and operation of 1 phase Cycloconverter.

2 Explain the principle and operation of 3 phase Cycloconverter.

3 Describe the basic principle of 1phase to 1phase Cycloconverter for both continuous

and discontinuous conductions for a bridge type Cycloconverter.

4 Mark the conditions of various SCRs also Explain the operation of 4-quadrant

chopper

5 Discuss the principle of operation of DC-DC step down chopper with suitable

waveforms. Derive the expression for its average dc voltage.

Unit No.2 - Assignment

1 Explain the operation of 4-quadrant chopper.

2 Discuss the principle of operation of DC-DC step down chopper with suitable

waveforms

3 Explain the operation of Jone’s and Morgan’s chopper

4 Explain the operation of Jone’s and Morgan’s chopper


1 Explain in detail the 1200 mode and 1800 mode operation of inverter in detail.

2 What is PWM? Explain the various techniques involved in it.

3 Compare between VSI and CSI in detail.


1 Draw and explain in detail static V-I characteristic of SCR by considering different

mode of operation.

2 The voltage rating in particular circuit is 3.2kV. SCRs with voltage rating of 60V are

available. Calculate the number of SCRs required to be connected in series. Also

design the state equalizing circuit for the above series connection if maximum

blocking current of the SCRs at the rated voltage is 6mA.


3 Draw and explain reverse recovery characteristics of power diodes. Explain the

terms:

1. Reverse recovery time trr

2. Peak reverse current Irr.

3. Reverse recovery charge Qrr.

Unit No.5 -Assignment

1 Single phase full converter bridge is connected to RLE load. The source voltage is

230V, 50Hz. The average load current of 10A is continuous over the working range.

For R=0.4Ω and L= 2mH. Compute

i. Firing angle delay for= 120V

ii. Firing angle delay for= -120V

2 Describe a 3 phase full wave diode bridge rectifier with a circuit diagram and

relevant waveform for load R. Hence derive expression of average and RMS value

of output voltage and obtain there from VRF, FF, rectifier efficiency and TUF.

3 Explain cold rolling theories and hot rolling theories in brief.


Course plan for Power System-I

Course Code EE 208 Course Power System-I

Prepared by Mr.Devendra Gowda Semester AY 2017-18, Sem II

Pre-requisites Student should have good knowledge of electrical quantities.

Course Outcomes


CO208.1 Explain2 the generation of Electric Energy by different sources

CO208.2 Describe1 the basic structure of power system and its components

CO208.3 Explain2 Distribution system with classification

CO208.4 Discuss2 and solve3 the problems of the overhead transmission line and

Underground cables

CO208.5 Describe1 the importance and equipments used to improve the power factor.

CO208.6 Explain2 and solve3 the problems of Economic Aspects of Power Generation


Pos

COs a b c d e f g h i j k

CO208.1 3

CO208.2 3

CO208.3 3

CO208.4 3 2

CO208.5 3

CO208.6 2 3



Course Contents

Unit

No.

Title

No. of

Hrs.

1 Generation of Electric Energy and Power System Components

Schematic/ Block diagram of Hydro power plant, Thermal power plant, Nuclear

power plant and Diesel power plants and their working. Basic structure of an AC

power system, Distribution voltage level, Sub-transmission level, Single line

diagram. Brief Description of Power system elements such as Synchronous

Machine, Transformer, Bus bar, Circuit Breaker, isolator, CT, PT.

8

2 Distribution Systems

Classification of Distribution Systems, AC Distribution- Primary and Secondary

Distribution systems, Overhead and Underground systems, Connection scheme of

distribution system, Radial system, Ring main system, Interconnected systems,

feeders and distributors, AC distribution calculations.

10

3 Overhead Transmission Lines and Underground Cables

Types of conductors- Hard drawn copper, hard drawn aluminum, steel cored

aluminum, ACSR, SSC,AAC, Smooth Body ACSR, Expanded ACSR, ACAR,

bundled conductor, Resistance,inductance and capacitance for single and double

circuit lines, skin effect and proximity effect. Main components of over head

lines, conductor materials, line supports, Types of line supports, insulators, types

of insulators, potential distribution over suspension insulators, string efficiency,

methods of improving string efficiency. Corona, factors affecting corona,

important terms,advantages and disadvantages of corona, methods of reducing

corona effect, sag in over head lines and sag calculations. Construction and

classification of cables for single and three phase service, Methods of laying

underground cables.

6

4

Characteristics and Performance of Transmission Line:

Short, medium and long lines, Voltages and currents at sending and receiving end

of line, ABCD constants, Sending end and receiving power circle diagrams,

universal power circle diagram, voltage and current waves, surge impedance

loading of transmission line, Complex Power flow through transmission line,

Power transmission capability, Ferranti effect, tuned power lines, methods of

voltage control, voltage regulators, tap changing transformers, booster

transformers, synchronous phase modifiers,.

10

5 Power Factor Improvement:

Causes and disadvantages of Low power factor, power factor improvement

Equipments-using Static capacitors, synchronous condensers, phase advancers,

Calculation of Power factor correction; Importance of power factor improvement,

Most economical power factor derivation. .

8


6 Economic Aspects of Power Generation

Load curve, load duration and integrated load duration curves-load, demand,

diversity, capacity, Utilization and plant use factors- Numerical Problems. Costs

of Generation and their division into Fixed, Semi-fixed and Running Costs.

Desirable Characteristics of a Tariff Method.-Tariff Methods: Flat Rate, Block-

Rate, two-part, three –part, and power factor tariff methods

Note: Numericals are expected on units

6

Reference books:

Sr. No. Title of Book Author Publisher/Edition

1) Elements of power station design M.V. Deshpande Tata Mc Graw Hill

2) Electrical Power Systems. C.L.Wadhawa New age International

Limited

3) Power plant Engineering- steam &

nuclear

P. K. Nag, Tata Mc Graw Hill

4) Power plant Engineering Fredrick T. Morse East west press private

Ltd

5) Power plant Engineering Mahesh Varma Metrolitan book Co Pvt

Ltd

6) Direct Energy Conversion George W. Sutten Prentice Hall

International.

Evaluation scheme:

Examination

Scheme

Theory Term Work Practical Total

Max. Marks 100 50 150

Contact

Hours/ week

4 02 06

Scheme of Marks

Section Unit No. Title Marks

I 1 Generation of Electric Energy and Power System

Components

16


2 Distribution Systems

18

3 Overhead Transmission Lines and Underground Cables

16

II

4 Characteristics and Performance of Transmission Line:

16

5 Power Factor Improvement:

18

6 Economic Aspects of Power Generation

16

Course Unitization



CO208.2


CO208.4


C0208.6

Unit wise lesson plan

Section I

Unit No


01 Generation of Electric Energy and Power System

Components

08

Lesson schedule

Class

No.


1 Schematic/ Block diagram of Hydro power plant

2 Schematic/ Block diagram Thermal power plant

3 Schematic/ Block diagram Nuclear power plant


4 Schematic/ Block diagram Diesel power plan

5 Voltage level, Sub-transmission level, Single line diagram

6 Brief Description of Power system elements such as Synchronous Machine

7 Transformer, Bus bar, Circuit Breaker.

8 Isolator, CT, PT

Review Questions

Q1 Explain Schematic/ Block diagram Hydropower plant in detail. CO 208.1

Q2 Explain Schematic/ Block diagram Nuclear power plant CO 208.1

Unit No


2 Distribution Systems 6

Lesson schedule

Class

No.


1 Classification of Distribution Systems, AC Distribution- Primary and Secondary

Distribution systems,

2 Connection scheme of distribution system, Radial system,

3 Systems Ring main system, Interconnected systems,

4 Overhead and Underground

5 feeders and distributors,

6 AC distribution calculations.

Review Questions

Q1 Explain the differences between ring type and radial distribution system CO 208.2

Q2 Explain different types of Underground cables CO 208.2

Unit

No

3 Unit Title Overhead Transmission Lines and

Underground Cables

Planned

Hrs.

10

Lesson schedule

Class

No.


1 Types of conductors- Hard drawn copper, hard drawn aluminum, steel cored

aluminum, ACSR, SSC,AAC,


2 Smooth Body ACSR, Expanded ACSR, ACAR, bundled conductor,

3 Resistance, inductance

4 capacitance for single and double circuit lines

5 skin effect and proximity effect. Main components of over head lines,

6 conductor materials, line supports, Types of line supports,

7 And insulators, types of insulators, potential distribution over suspension insulators,

8 string efficiency, methods of improving string efficiency

9 Corona, factors affecting corona, important terms, advantages and disadvantages of

corona, methods of reducing corona effect

10 sag in over head lines and sag calculations. Construction and classification of cables

for single and three phase service. Methods of laying underground cables.

Review Questions

Q1 Skin effect and proximity effect CO 208.3

Q2 Explain types of insulators CO 208.3

Unit

No Unit Title

Planned Hrs.

4 Characteristics and Performance of Transmission Line 10

Lesson schedule

Class

No.


1 Short, medium and long lines, Voltages and currents at sending and receiving end of

line,

2 ABCD constants,

3 Sending end and receiving power circle diagrams,

4 universal power circle diagram

5 voltage and current waves, surge impedance loading of transmission line

6 Complex Power flow through transmission line

7 Power transmission capability, Ferranti effect

8 tuned power lines, methods of voltage control, voltage regulators

9 tap changing transformers, booster transformers,


10 Synchronous phase modifiers,.

Review Questions

1 Derive ABCD Constants of transmission line CO 208.4

2 Explain tap changing transformers, booster transformers.

CO 208.4

Unit

No

5 Unit Title Power Factor Improvement

Planned

Hrs.

8

Lesson schedule

Class

No.


1 Causes and disadvantages of Low power factor,

2 power factor improvement Equipments-using Static capacitors,

3 Synchronous condensers, phase advancers.

4 Calculation of Power factor correction;

5 Problems on power factor correction

6 Importance of power factor improvement

7 Most economical power factor derivation.

8 Problems on Most economical power factor derivation.

Review Questions

1 Causes and disadvantages of Low power factor, CO 208.5

2 Derive equation for Most economical power factor derivation CO 208.5

Unit No


6 Economic Aspects of Power Generation 6

Lesson schedule

Class

No.


1 Load curve, load duration and integrated load duration curves-

2 load, demand, diversity, capacity,

3 Utilization and plant use factors- Numerical Problems


4 Costs of Generation and their division into Fixed, Semi-fixed and Running Costs.

5 Desirable Characteristics of a Tariff Method.-Tariff Methods: Flat Rate, Block-Rate,

two-part, three –part, and power factor tariff methods

6 Numerical are expected on units

Review Questions

1 Explain Load curve, load duration and integrated load duration curves-. CO 208.6

2 Explain load, demand, diversity, capacity, CO 208.6


Course Title : Power System-I

Duration-3 Hrs. Max. Marks: 100

Instructions:

1 Attempt any three questions from each section

2 Figures to the right indicate full marks.

3 Wherever required neat sketches shall be drawn.

4 a) Explain tap changing transformers, booster transformers. 10

b) Derive ABCD Constants of transmission line 8

5 a) Causes and disadvantages of Low power factor, 8

b) Derive equation for Most economical power factor derivation 8

1 a) Explain Schematic/ Block diagram Hydropower plant in detail.

8

b) Explain Schematic/ Block diagram Nuclear power plant

8

2 a) Explain the differences between ring type and radial distribution system

8

b) Explain different types of Underground cables

8

3 a) Skin effect and proximity effect 10

b) Explain types of insulators

8


6 a) Explain Load curve, load duration and integrated load duration curves-. 8

b) Explain load, demand, diversity, capacity, 8

Lab Plan

Expt. No Experiment Title

1 Single phase half controlled converter using R and RL load

using MATLAB / SIMULINK

2 Single phase fully controlled converter using R and RL load


3 Three phase fully controlled converter using R and RL load


4 Single phase AC voltage regulator using MATLAB /

SIMULINK

5 Formation of Y bus matrix by inspection / analytical method

using MATLAB Software

6 Formation of Z bus using building algorithm using MATLAB

Software

7 Fast decoupled load flow analysis using MATLAB Software

8 Fault analysis using MATLAB Software

Assignments

Question

No.


1 Show that the per unit impedance of a transformer is the same whether computed

from primary or secondary side so long as the voltage bases on the two sides are

in the ratio of transformation.

2 90MVA, 11kV, 3-phase generator has a reactance of 25%. The generator supplies

two motors through transformers and transmission line as shown in Fig(1). The

transformer T1 is a 3-phase transformer, 100MVA, 10/132kV, 6% reactance.

Transformer T2 is composed of 3 single phase units each rated at 30MVA,


66/10kV with 5% reactance. Taking the generator rating as base, draw the

reactance diagrams and indicate the reactances in per unit. The reactance of the

line is 100Ω


1 What are the advantages of a per unit system?

2 A generator is rated 500MVA, 22kV. Its Y-connected windings have a reactance

of 1.1P.U. Find the ohmic value of the reactance of the windings

3 The generator specified in Q(4) above is in a circuit for which the bases are

specified as 100MVA, 20KV. Find the per unit value of the reactance of the

generator windings on the specified base


1 With a suitable diagram show the similarity in transients of single R-L network

and a three phase on an unloaded synchronous generator at its terminals. Write

the equation for subtransient current in a generator.

2 With the help of oscillograms of short circuit current of a synchronous generator,

operating on no load distinguish between subtransient, transient and steady state

periods. Also write the corresponding equivalent circuits which are used in

comuting Xd,Xq


1 Write a note on selection of circuit breakers.

2 State the generalized algorithmic equations for determining the elements of the

bus admittance matrix by rule of inspection.

3 Obtain the Ybus for the resistive network shown in Fig(4). All the values are in

ohms


1 A transmission line of inductance L=0.1H and resistance R=5Ω is suddenly short

circuited at t=0, at the far end of line as shown in Fig(5). If the source voltage is

v=100sin(100πt+15o), obtain the expression for the short circuit current, exact

value of the first current maximum and the instant of short circuit at which the

DC offset current is zero.

2 A 60Hz generator is rated 500MVA, 20kV with Xd”=0.20P.U. It supplies a

purely resistive load of 400MW at 20kV. The load is connected directly across

the terminals of the generator. If all the three phases of the load are short


circuited simultaneously, find the initial symmetrical RMS current in the

generator in per unit on a base of 500MVA, 20kV.


1 Show that the power in a three phase circuit can be computed from symmetrical

components.

2 Show that symmetrical component transformation is power invariant.

3 Define sequence impedances and sequence networks. Hence indicate the zero

sequence diagrams for various primary and secondary winding connection of a

three phase transformer


Course plan for Network Analysis and Synthesis

Course Code ELE 209 Course Title Network Analysis and Synthesis

Prepared by Mr.Patil Uday T. Semester AY 2017-18, Sem II

Prerequisites The student should know about the basic techniques of DC circuit analysis.

Course Outcomes

At the end of the course the students should able to:

CO209.1 Describe1 network elements, basic techniques to evaluate ac circuits.

CO209.2 Apply3 network theorems for analysis of ac circuits.

CO209.3 Understand2 transform analysis techniques for ac circuits.

CO209.4 Define1 network functions and two port network.

CO209.5 Understand2 network synthesis techniques.

CO209.6 Analyse4 & synthesize5 various types of filters.


POs

Cos

a b c d e f g h i j k

CO209.1 2

CO209.2 2 3

CO209.3 3

CO209.4 2

CO209.5 2

CO209.6 1 2 2


Course Contents

Unit No. Network Analysis and Synthesis

No. of

Hours

1. INTRODUCTION: Network elements, Initial and final conditions, Step,

Impulse and Ramp Functions, solution of differential equation, concept

of impedance and admittance, , Node and Mesh analysis for ac circuits,

8


2. NETWORK THEOREMS: Superposition Theorem, Norton’s Theorem,

Thevenin’s Theorem, Maximum Power Transfer Theorem, Reciprocity

Theorem, Millman’s Theorem

6

3. TRANSFORM ANALYSIS: Introduction, properties of Laplace

Transform, The inverse Laplace Transform, Application to

integrodifferntial equations, Circuit Element Model, Application of

Laplace Transform to Electric Circuits, Fourier Transform, Properties of

Fourier Transform, and Circuit Applications.

8

4. TWO PORT NETWORK & NETWORK FUNCTIONS:

Two port network: Open circuit impedance ( Z ) parameters, Short

circuit admittance (Y) parameters, Hybrid ( H ) parameter, Transmission

parameters(ABCD), Interrelation of different parameters,

Interconnections of two port network. Network Functions: Network

functions for one port & two port networks, Driving point impedance

and admittance of one port network, Driving point impedance,

admittance & different transfer function of two port network Concept of

complex frequency, significance of poles & zeros, pole zero diagram.

8

5. NETWORK SYNTHESIS: Introduction, Hurwitz Polynomials, Positive

Real Function, Synthesis of Driving point Immitance Function,

Synthesis of Driving point Impedance Function, LC Network, Two

Terminal R-L Network, Two Terminal R-C Network,

8

6. FILTER SYNTHESIS: Introduction, Image Parameters, Characteristics

Impedance, Basic Types of Filters,

Filter Fundamentals, Passive Filters, Composite Filters, Limitation of

Passive Filters, Design of Constant K and M derived Filters

6

Reference Books:

Sr. No. Title of Book Author Publisher/Edition Topics

1) “Network Analysis and

Synthesis”

Franklin F Kuo JhonWielySons 1,2,3,4

2) “Network Analysis”, M.E. Van

Valkenburg,

Prentice Hall of

India

3,4,5,6

3) “Electric Circuits”, TMH C. K. Alexander Mcgraw hill 1,2,3,4

4) “Networks and Systems” D.RoyChoudhary, New age, 4,5,6,


Examination Scheme

Examination

Scheme


Max. Marks 100 ---- ------ 100

Contact

Hours/ week

3 --- ------ 3

Scheme of Marks


I

1 Introduction. 16

2 Network Theorems. 24

3 Transform Analysis. 26

II

4 Two Port Network & Network Functions. 24

5 Network Synthesis. 24

6 Filter Synthesis. 18

Course Unitization



CO209.2


CO209.4


CO209.6



Section I


1 INTRODUCTION. 8

Lesson schedule

Class

No.


1 Network elements, Initial and final conditions,

2 Step, Impulse and Ramp Functions, solution of differential equation,

3 concept of impedance and admittance,

4 concept of impedance and admittance,

5 Node and Mesh analysis for ac circuits,




Review Questions:

1 Find mesh currents i1 and i 2

CO209.1

2 Calculate I0 shown in the figure

CO209.1

Unit No


2 NETWORK THEOREMS: 6


Lesson schedule

Class

No.


1 Superposition Theorem.

2 Norton’s Theorem.

3 Thevenin’s Theorem.

4 Maximum Power Transfer Theorem.

5 Reciprocity Theorem.

6 Millman’s Theorem.

Review Questions:

1 Apply reciprocity theorem for the branches ab & cd.

CO209.2

2 Calculate I0 shown in the figure by superposition theorem.

CO209.2

3 Find thevenins equivalent ckt across terminal ab.

CO209.2

Unit

No

3 Unit Title TRANSFORM ANALYSIS Planned

Hrs.

8

Lesson schedule

Class

No.



1 Introduction, properties of Laplace Transform,

2 The inverse Laplace Transform,

3 Application to integrodifferntial equations,

4 Circuit Element Model,

5 Application of Laplace Transform to Electric Circuits,

6 Fourier Transform,

7 Properties of Fourier Transform,

8 Circuit Applications

Review Questions:

1 Find V0 (t).

CO209.3

2 Solve differential equation by laplace transform.

CO209.3

3 Obtain laplace transform of f(t).

CO209.3

4 Obtain fourier transform of f(t).

CO209.3

Unit

No

4 Unit Title Two Port Network & Network

Functions:

Planned

Hrs.

8


Lesson schedule

Class

No.


1 Two port network: Open circuit impedance ( Z ) parameters, Short circuit admittance

(Y) parameters,

2 Hybrid ( H ) parameter, Transmission parameters(ABCD),

3 Interrelation of different parameters,

4 Interconnections of two port network

5 Network Functions: Network functions for one port & two port networks, Driving

point impedance and admittance of one port network,

6 Driving point impedance,

7 admittance & different transfer function of two port network

8 Concept of complex frequency, significance of poles & zeros, pole zero diagrams.

Review Questions

1 Find impedance parameters.

CO209.4

2 Find y parameters.

CO209.4

3 Find driving point impedance, transfer impedance function,voltage transfer

fuction.

CO209.4

Unit

No

5 Unit Title NETWORK SYNTHESIS Planned

Hrs.

8

Lesson schedule

Class Details to be covered


No.

1 Introduction

2 Hurwitz Polynomials,

3 Positive Real Function,

4 Synthesis of Driving point Immitance Function,

5 Synthesis of Driving point Impedance Function,

6 LC Network,

7 Two Terminal R-L Network,

8 Two Terminal R-C Network,

Review Questions

1 State the conditions to find out positive real function. CO209.5

2 Check following polynomials are hurwitz or not.

CO209.5

Unit

No

6 Unit Title FILTER SYNTHESIS Planned

Hrs.

6

Lesson schedule

Class

No.


1 Introduction, Image Parameters, Characteristics Impedance,

2 Basic Types of Filters, Filter Fundamentals,

3 Passive Filters, Composite Filters,

4 Limitation of Passive Filters,

5 Design of Constant K and M derived Filters

Review Questions

1 Explain classification of filter in detail. CO209.6

2 Design a constant k low pass filter having fc=2 kHz and design impedance

R0 = 600 ohm also find value of attenuation at 4 kHz.

CO209.6


Course Title : Network Analysis and Synthesis


Duration 3 Hours Marks:

100

Instructions:


2] Figure to right indicates full marks.


1 a Find mesh currents.

8

b Apply reciprocity theorem for the branches ab & cd.

8

2 a Calculate I0 shown in the figure by superposition theorem.

10

b Find thevenins equivalent ckt across terminal ab.

8

3 a Find V0 (t).

8


b Solve differential equation by laplace transform.

8

4 a Obtain laplace transform of f(t).

8

b

Obtain fourier transform of f(t).

8

5 a Find impedance parameters.

8

b Find y parameters.

10


6 a Find driving point impedance, transfer impedance function,voltage

transfer fuction.

8

b Express Z parameters in terms of Y parameters. 8

7 a Explain classification of filter in detail. 8

b Design a constant k low pass filter having fc=2 kHz and design

impedance R0 = 600 ohm also find value of attenuation at 4 kHz.

8

8 a State the conditions to find out positive real function. 8

b Check following polynomials are hurwitz or not.

8

Assignments

1


Apply reciprocity theorem for the branches ab & cd.

2

Calculate I0 shown in the figure

1



Apply reciprocity theorem for the branches ab & cd.

2

Calculate I0 shown in the figure by superposition theorem.

3

Find thevenins equivalent ckt across terminal ab.

1


Find V0 (t).

2

Solve differential equation by laplace transform.


3

Obtain laplace transform of f(t).

1


Obtain fourier transform of f(t).

2

Find impedance parameters.

3

Find y parameters.

1


Explain classification of filter in detail.


2 Design a constant k low pass filter having fc=2 kHz and design impedance R0 = 600

ohm also find value of attenuation at 4 kHz.


Course plan for Control System-I

Course Code CE 210 Course Control System-I

Prepared by Mr. A.N.Shinde

Mr.Pankaj M. Maskar

Semester AY 2017-18, Sem II

Pre-requisites This course requires the student to know about the basic concepts of different

mathematical signals and their Laplace Transform.

Course Outcomes


CO210.1 Develop2 the model of different mechanical and electrical systems.

CO210.2 Analyze3 response of first and second order systems.

CO210.3 Explain2 the construction, working and applications of different servo

components.

CO210.4 Analyze3 the system stability using Routh criterion and Root Locus

CO210.5 Analyze3 the system stability using Bode Plot and Nyquist Plot

CO210.6 Develop2 the state model of different transfer function


POs

COs

a b c d e f g h i J k l

CO210.1 3 3 3

CO210.2 3 2 2 3

CO210.3 2 3

CO210.4 2 2 2

CO210.5 2 3 2 2

CO210.6 2 3 3

1 Mild correlation 2 Moderate correlation 3 Strong correlation


Course Contents

Unit No. Title No. of

Hours

Section I

1

Modelling and representation of control system and transfer

function:History of control system, Laplace transform review,

Transfer function of electrical, mechanical, thermal, hydraulic

system, Electrical circuits analogs, Block dia. Representation and

reduction, types of feedback systems, signal flow graph, Mason’s

gain rule, SFG.

09

2

Time domain analysis and stability concept:Response of first and

second order system, general second order system, response with

additional pole and zeros, steady state error for unity feedback

system , static error constants and systems type, steady state error

specifications, Routh criteria for stability.

10

3

Servo components: Error detectors ,Potentiometer, synchros,

optical rotary encoders, DC and AC Servomotors, stepper motor,

gear trains, A C and DC tacho-generators, Transfer function and

applications of these.

08

Section II

4

Root locus: Definition of root locus, Rules for plotting root loci,

Root contour, stability analysis using root locus, effect of addition

of pole and zero.

06

5

Frequency response technique:Bode plot, Nyquist criterion,

stability, gain margin, phase margin by Nyquist diagram and bode

plot, and Determination of transfer function from bode plot.

08

6

State space concept :State space representation, phase variable

form, converting transfer function to state space and vice versa,

Canonical form, companion form, Jordan Canonical form, Solution

of state equations. Concept of controllability and observability.

07

Reference Books:

Sr. No. Title of Book Author Publisher/Edition Topics

1)

Control System Engineering Norman S. Nise, John willey and

Sons, 4th

edition, 2004.

All

2) Control System Engineering Nagrath and M.

Gopal

Anshan

publication, 5th

4,5,6


edition, 2008.

3) Modern Control

Engineering

K. Ogata Eastern Economy,

4th edition 2002.

All

4)

Control System principles

and design

M.Gopal Tata McGraw

Hill, 3rd edition,

2008.

3,4,5

Evaluation scheme:

Examination

Scheme


Max. Marks 100 50 150

Contact

Hours/ week 4 02 06

Scheme of Marks


I

1 Modelling and representation of control system and

transfer function.

18

2 Time domain analysis and stability concept. 16

3 Servo components. 16

II

4 Root locus 18

5 Frequency response technique. 16

6 State space concept. 16

Course Unitization



CO210.2



CO210.4


CO210.6


Section I

Unit No


1 Modelling and representation of control system and

transfer function

9

Lesson schedule

Class

No.


1 History of control system.

2 Laplace transforms review.

3 Transfer function of electrical, mechanical Systems.

4 Transfer function of thermal, hydraulic systems.

5 Electrical circuits analogs.

6 Block dia. Representation.

7 Block dia. Reduction, types of feedback systems.

8 Signal flow graph.

9 Mason’s gain rule.

Review Questions

Q1 Explain mechanical and electrical mathematical models? CO210.1

Q2 Find transfer function of hydraulic system? CO210.1

Q3 Explain effects of feedback? CO210.1

Unit No


2 Time domain analysis and stability concept 10

Lesson schedule

Class

No.



1 Response of first order system,

2 Response second order system.

3 General second order system.

4 Numerical.

5 Response with additional pole and zeros.

6 Steady state error for unity feedback system.

7 Static error constants and systems type.

8 Steady state error specifications.

9 Routh criteria for stability.

10 Numerical.

Review Questions

Q1 Explain steady state response? CO210.2

Q2 Explain characteristic Equation of Feedback control systems? CO210.2

Q3 Give time domain analysis of transient response? CO210.2

Q4 ExplainRouth’s stability criterion? CO210.4

Unit

No

3 Unit Title Servo components:

Planned

Hrs.

8

Lesson schedule

Class

No.


1 Introduction.

2 Error detectors, Potentiometer.

3 Synchros,

4 Optical rotary encoders.

5 DC and AC Servomotors.

6 Stepper motor, gear trains.

7 A C and DC tacho-generators.

8 Transfer function and applications of these.

Review Questions

Q1 Find transfer function of armature and field of DC servo motor? CO210.3


Q2 Find transfer function of A C and DC tacho-generators? CO210.3

Unit

No

4 Unit Title Root locus :

Planned

Hrs.

6

Lesson schedule

Class

No.


1 Definition of root locus.

2 Rules for plotting root loci.

3 Root contour.

4 Stability analysis using root locus.

5 Numerical.

6 Effect of addition of pole and zero.

Review Questions

Q2 Explain Root Locus Technique CO210.4

Q3 Explain Effect of addition of pole and zero. CO210.4

Unit

No

5 Unit Title Frequency response technique:

Planned

Hrs.

8

Lesson schedule

Class

No.


1 Introduction

2 Frequency domain specifications-Bode plots

3 Frequency domain specifications-Bode plots

4 Determination of Frequency domain specifications & transfer function from the Bode

Plot

5 Phase margin and Gain margin

6 Stability Analysis from Bode Plots, Polar Plots

7 Nyquist Stability Criterion

8 Nyquist plot & stability analysis

Review Questions

Q1 Explain Phase margin and Gain margin CO210.5

Q2 Explain Nyquist Stability Criterion CO210.5

Q3 Problems based on Bode plot CO210.5


Unit

No

6 Unit Title State space concept Planned

Hrs.

7

Lesson schedule

Class

No.


1 State space representation, phase variable form.

2 Converting transfer function to state space and vice versa.

3 Canonical form, companion form, Jordan Canonical form.

4 Solution of state equations.

5 Concept of controllability.

6 Concept of observability.

7 Calculation of Eigen values and stability.

Review Questions

Q1 Write a note on state, state variable & state model. CO210.6

Q2 Check the controllability and observability of given system. CO210.6

Q3 Convert given transfer function into state space. CO210.6


Course Title : Control System-I

Duration-3 Hrs. Max. Marks: 100

Instructions:

1 All questions are compulsory

2 Solve any two questions from each questions

3 Wherever required neat sketches shall be drawn.

Q.1 a) Explain the derivation of analogous network using (8M)

1) Force voltage (Loop analysis) analogy

2) Force current (Node analysis) analogy

08


Q.4 a) Sketch the root locus and hence find the range K for unity feedback system 08

b) Obtain 𝐶(𝑠)

𝑅(𝑆) for following system using block diagram reduction rules

08

C) Explain the block diagram reduction rules 08

Q.2 a) Derive the transfer function of field controlled DC servo motor. 08

b) Explain torque displacement and torque current characteristics under stationary

and running condition of stepper motor

08

C) Write short note on Synchros 08

Q.3 a) Explain different transient response specifications of under damped second

order system with its output response

09

b) Evaluate static error constants for unity feedback system having a forward path

transfer function 𝐺(𝑆) =50

𝑆(𝑆+10).Estimate the steady state error of the system

for the input, 𝑟(𝑡) = 1 + 2𝑡 + 𝑡2 (9M)

09

c) Find the range of K, and frequency of sustained oscillations for following

characteristics equation using Routh criterion (9M)

𝑠4 + 25𝑠3 + 15𝑠2 + 20𝑠 + 𝑘 = 0

09


having open loop transfer function

𝐺(𝑆)𝐻(𝑆) =𝐾

𝑆(𝑆 + 1)(𝑆 + 2)(𝑆 + 3)

b) ketch the root locus and hence find the range K for unity feedback system

having open loop transfer function

08

c) Define the root locus. Explain the use of angle and magnitude condition with

suitable example.

08

Q.5 a) For a given system sketch the Bode plot and hence find

i) Gain margin ii) Phase margin iii) Gain crossover frequency iv) Phase

crossover frequency

𝐺(𝑆) =80

𝑆(𝑆 + 2)(𝑆 + 20)

09

b) For a given system sketch the Bode plot and hence find (9M)

i) Gain margin ii) Phase margin iii) Gain crossover frequency iv) Phase

crossover frequency

𝐺(𝑆) =242(𝑆 + 5)

𝑆(𝑆 + 1)(𝑆2 + 5𝑆 + 121)

09

c) Explain the concept of gain margin and phase margin. Explain how these

values help in studying relative stability.

09

Q.6 a) Obtain state space model in Jordan canonical form for a system whose transfer

function is

𝐺(𝑆) =1

(𝑠 + 2)2(𝑆 + 1)

08

b) Obtain the transfer function of system having state model

=[ 0 1−2 − 3

] 𝑥 + [ 1

0 ] u

Y=[1 0 ]𝑥

08


c) Define the following terms

i) State variable ii) output variable iii State equation iv) output equation.

Also write the advantages if state space analysis.

08

List of experiments-

Expt. No

Experiment Title

1 Creation of transfer function

2 Step response of first and second order systems

3 Transient response analysis of output response of system

4 Root locus analysis

5 Bode plot analysis

6 Conversion from transfer function to state space

7 Conversion from state space to transfer function

8 Checking of controllability

9 Checking of observability

List of Assignments

Question

No.

Unit No.1- Assignment

1 Explain mechanical and electrical mathematical models?

2 Find transfer function of hydraulic system?

3 Explain effects of feedback?

4 Explain steady state response?


1 Explain characteristic Equation of Feedback control systems?

2 Give time domain analysis of transient response?


3 ExplainRouth’s stability criterion?

4 Wxplain the meaning of TYPE of system


1 Explain steady state response?

2 Explain characteristic Equation of Feedback control systems?

3 Give time domain analysis of transient response?

4 ExplainRouth’s stability criterion?


1 Find transfer function of armature and field of DC servo motor?

2 Find transfer function of A C and DC tacho-generators?

3 Explain Root Locus Technique

4 Explain Effect of addition of pole and zero.


1 Explain Phase margin and Gain margin

2 Explain Nyquist Stability Criterion

3 Problems based on Bode plot

4 Problems based on root locus


1 Write a note on state, state variable & state model.

2 Check the controllability and observability of given system.

3 Convert given transfer function into state space.

4 Numericals based on state space

Documents

Shivaji University, Kolhapur Department of Electrical ... concept of braking of DC separately excited motors (Rheostatic, Regenerative and plugging). Parallel and series operation