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I s.

No.

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4

5

6

Semester V --

Subject

Electrornagnel ic Fields and Waves Electric.1l Machute-H Communication Engineering Power System Analysis Power Electronics Environment Studies

Tolal

UNIVERSITY OFMUMBAl Syllabus Structure (R-2001)

"' T.E.(F.LECTRICAL ENGINEERING)

Scheme oflnstructions, Scheme ofEvalualion Periods per week

( 60 min) Paper

Theory Praclicnl Tulorial Term Practical

Houn Marks work &Oral

4 -- 2 3 100 25 -4 2 -- 3 100 25 50

4 2 - 3 100 25

4 - 2 3 100 25 --4 2 - ' J 100 25 50

2 -- ,. 2 50 25 -22 6 5 550 ISO 100

•Tulonal to be conducted class w1se.

,,

Oral

----25

2~

---50

- -

Total Marks

125 ·-

175

150

150

175

75

850

I,

I I I I

I I

I I

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University ofMumbai Class: T.E. Branch: Electrical Semester: V

Engineering Sitbject: Electromaanctic Fields and Waves (abbreviated as EFW) Periods· per Week Lecture 4 (Each 60 min) Practical --

Tutorial 2 Hours Marks

Evaluation System Theory 3 100

~

Module

Practical and Oral -- --Oral -- --

Term Work -- 25 Total 3

Contents Vector B~sics: Introduction to Co-ordinate System - Rectang\tlar­Cylindrical and Spherical Co-ordinate System - Introduction to line, Surface and Volume Integrals - Definition of Curl,

125

- ----+.:::D..:.i'.;.;;'ergence and Gradient. Static Electric Fields:

2

Coulomb's Law in Vector Fonn- Definition of Electric Field Intensity Principle of Superposition - Electric Field due to discrete charges, Electric field due to continuous charge distribution • Electric Field due to line charge- Electric Field on the axis of a uniformly charged circular disc- Electric Field due to 1111 infinite uniformly chnrgcd sheet. Electric Scalar Potential Hclationship bGtwecn potential and electric field • Potenti~l due tu infinite uniformly charged line- Potential due to electrical dipole • Electric Flux Density - Gauss Law -

Hours

04

·10

A lications. r-----~~=- ~~--------------------------+-----~ St~tic Magnetic Fields:

3 I

The Biot-Savan Law in vector fomt Magnetic Field intensity due to a finite and infinite wire carrying a current I - Magnetic ticld intensity on the axis of a circular and rectangular loop carrying a current l - Ampere's circuital law and simple applications. Magnetic flux density The Lorentz force equtalion l(ll' a nHwing charge and applications - Force on a wire carrying a current I placed in a magnetic field -Torque on a loop carrying a current I - Magnetic mument - Magnetic Vector Potential

08

...

4

5

6

7

Electric and Magnetic Fields in Materials: Poisson's and Laplace's equation - Electric Polarization­Nature of dielectric materials- Definition of Capacitance -Capacitance of various geometries using Laplace's equation -Electrostatic energy and energy density - Boundary conditions for electric fields - Electric current - Current density - point fom1 of ohm's law - continuity equation for current Definition of Inductance - Inductance ofloops and solenoids - Definition of mutual inductance - simple examples. Energy deosily in magnetic fields - Nature of magnetic materials -magnetization and permeability - magnetic boundary conditions. Time varying Electric and l\fagnctic Jliclds: Faraday's Jaw- Maxwell's Second Equation in integral fom1 from Paraday's Law-Equationexpressed in point form. Displacement current- Amt>erc's circUital law in integral fozm -Modified fom1 of Ampere's circuital law as Maxwell's first equation in integral fonn - Equation expressed in point form. Maxwell's four equations in integral form and differential fonn. Wave Theory: Derivation of Wa"c Equation-Uniform Plane Waves ­Maxwell's equation in Phasor form - Wave equation in Phasor foml - Plane waves in free space and in a homogenous material. Wave equation for a condu1-ting medium - Plane waves in lossy dielectrics - Propagation in good conductors The importance of characteristics impedance and the propagation constant. The wave travel, the concept of phase velocity and group velocity in wave travel. The voltage standing wave ratio. Traveling wave in transmission lines.

Power Flow: Poynting Vector and the flow of power - Power flow in a co­axial cable Instantaneous Average and Complex Poynting Vector.

Theory Examination: I. Question paper will comprise of total 7 questions, each of20 marks. 2. Only 5 questions need to be solved. 3. Q.l will be compulsory and based on the entire syllabus. 4. Remaining questions will be mixed in nature.

10

04

08

04

5. In question paper weightage of each module will be proportional to the number of respective lecture hours as menlio1ted in the syllabus

Term work:

( '

r11

• •

r~ """'ro'""' of m;oim~ "'" """"'" (-~""' .............. __ , l and a written test. TI1e distribution of the tenn work shall be as follows, Tutorials and computer programs (Journal) :I 0 marks Sessional Test on entire syllabus :10 marks Attendance (Tutorial and Theory) :05 marks The final certification and acceptance of term-work ensures the satisfactory performance of Tutorial work and minimum passing in the term-work.

Text bool<s: I. W. Huyt., "englneerilrg <dcctromagnetic", McGraw Hill, 4'b edition, 1987. 2. Edministcr,''Sc/roum's series in electromag>retic" McGraw Hill publications, J'" edition, \981 3. N. Narayan Rao," Elemel/ls of electromagnetic", PI-U publication, 4"' edition, 2001. 4. E. C. Jordan & K.G. Dnlmain "Electromagnetic Waves and Radiating Systems." Prentice Hal

India 2nd edition 2003. (Unit IV, V)._ McGraw-Hill, 9th reprint

Reference books: I. Fenmann, "Lectures on physics", Vol- 2, Addition Wesley, 1965 2. S. Seely, "Introduction ro electromagnetic fields", McGraw llill, 1958. 3. David K. cheng, "Field and electromagnetic~, Addison Wesley, 2"" edition, 1999. 4. Corson and lerrain, "Electromagnetic", CBS pt:blicatioos, 2nd edition, 1986. 5. P~mo, Whinnery nnd Van DU7.er: "Fields and Waves in Communications Electronics" John

6. Wiley & Sons (3rd edition 2003) M.N.O.Sadiku: "Elements of Engineering Electromagnetics" Oxford University Press, Third

ed ition. 7. David K.Cherp: "l"ielil and Wave Electromagnetics- Second Edition-Pearson Edition. 8. David J.Grithiths: "Introduction to Electrodynamics-Ill Edition-Pill. 9. Shevgaonkar, electromag11etic waves, Tala McGraw lli/1.

. University of Mumbai Class: T.E. Branch: Electrical Semester: V

Engineering Subject: Electrical Machines- II (abbreviated as EMC-lJ) Periods per Week Lecture 4 (Each 6') min) Practical 2

Tutorial ---I lours Marks

Evaluation System Theory 3 lOO Practical and Oral 2 50

Oral --- ---Term Work -- 25

Total 5 175

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Module Contents Hours Three Phase Transformers: 16

I Construction, Parallel operation, EKcitation Phenomenon, Switching in transient phenomenon, Oscillating neutral, harmonics, connections and phasor groups, V connection , Scott connection, Mechanical Stresses, Sumpuer test, impulse test, ON load and OFF load Tap changer.

Three phase induction motors: 24 2 Construction, principle of operation, equivalent circuit, torque-

speed characteristics, power stages, no load and block rotor test, circle diagram, speed control methods including V/f method, starting methods, high torque motol'S, Cogging and crawling, Induction Generators.

Single phase Induction Motor: 08 ~

.J Principle of operation, double field revolving theory, equivalent circuit, determination of equivalent circuit parameters by no load and block rotor test, Staring methods· split phase, capacitor start, capacitor start and run, shaded pole. Calculation of Capacitor at starting.

·-

Theory Examination: 6. Question paper wiii comprise oftotal7 questions, each of20 marks. 7. Only 5 questions need to be solved. 8. Q.l will be compulsory and based on the entire syllabus. 9 Remaining questions will be miKed in nature. I 0. In question paper weightage of each module Will be proportional to the number of

respective lecture hours as mentioned in the syllabus J>ractical and Oral Examination: Pmctical examination will be b:tscd on one experiment pcrlbrmed from the list of experiments given in the syllabus and the oml will be based on entire subject.

Term work: Tcnn work consists of minimum eight experiments and a wriuen test. The distribution of !he term work shall be as follows, Lnbot'lltory work (Experiments and Journal) :10 marks Test (a I least one) :10 marks Allcndance (Pmctical and Theory) :05 marks The final certification and acceptance of term-work ensures the satisfactory performance of laborntory work and minimum passing in the teml·Work.

I . List of Laboratory Experiments:

l. Load test on three phase squirrel cage 1M 2. Load test on three phase slip ring 1M j, No load and Blocked rotor test on three phase 1M 4. Circle diagram of three phase IM 5. Load test on Single phase 1M 6. No load and Blocked rotor test on Single phase IM 7. Open circuit & Short circuit test on three phase transformer 8. Parallel operation of transformers 9. Study of starting methods of Induction motors. 10. Scott connection of transfonncr 11. Open Delta connection of translom1cr

Te:..t Booi<S: I. 'EIClctrical Machinery' , by Dr. P.S.Bhimhra, VII Edition, Khanna Publisher 2. 'Generalized Theory of Electrical Machines', by Dr. P.S.Bhimhra, V Edition, Khanna

Publisher 3. 'Electrical Machine~·, by Nagmth and Kothari.TMII Publication. 4. 'Electrical Machines', by Charles I. Hubert, Penrson Education

Refct·ence Books: I. 'Performance and Design of AC Machines'. by M.G.Say, CBS Publisher 2. 'Electrical Machines', by Fit7.gcrald and Kingsley 3. 'Electrical Machines' ,by S.K.Bhallacharya, Tata McGraw Hill Publishing company I

second edition, 1998 4. 'Electrical Machines, Drives, and Power System', by TI1eodore Wildi,Pearson Educatio 5. Bhag S. Gu(U, Huseyin R. Hiziroglu, Electric Machinery & Transfom1ers, 3rd editi<

Oxford University Press. '

I-----------.--~U:::n:.:ic:..:versi of Mumbai Class: T. E. Branch: Electrical Semester: V

En

Evaluation System ~---------Th~~~~-~~3 ______ ~10~0 _____ 1 Practical and Oral

Oral 25 L---------------L-----------~~L-------~ ~----~

Term Work, __ Total 3

Module Contents Hours I Signal Representation-- Types of :signals, Signal spectrum, 04

Fourier Transform & properties,

Analog Communication 1) Introduction of Analog Cunununication System.

2 2) Analog Modulation Demodulation Techniques.- AM,

FM, PM. IO 3) Radio Receivers

TRF aud Superhytrodyne receivers, AGC Methods, FM • Receivers

Digital Communica lion I) Introduction ofDigitai Communication System 2) Basic Information Theory. - Concept ofinlonnation,

J Entropies of discrete system, Rate of transmission-recludancy, Efficiency and charmel capacity, Source 10 encoding :i uffman teelmique, Transmission rate and channel capacity of noisy channels, Shanon's theorem, sampl ing theorem.

4 Digital Modulation and Demodulation Techniques

I) PCM, Della Modulation and adaptive delta modulation. 10 2) ASK, fSK, PSK, BPSK, DPSK.

Coding Techniques (Algorithlllic Approach)-5 Linear block ·codes, cycl·ic codes and convolution codes. 10

• •

6 Telemetry - I) Basic coneept & Introduction 04

Tl!eory Examination: II. Question paper will comprise of total 7 questions, each of 20 marks. 12. Only 5 questions need to be solved. 13. Q.l will be compulsory and based.on the entire syllabus. 14. Remaining queS1ions \Viii be mixed in n.ature. 15. In question paper weightage of each module will be proportional to the number of

respective lecture hours as mentioned in the syllabus Term work: Term work consists of minimum Eight experiments and a written test The distribution ofthe term wock shall be as follows, Laboratory work (Experiments and Journal) :I 0 marks

- ..

Test (at bast one) :10 marks Attendance (Practical and Theory) :05 marks The final certification and acceptance o.fterm-work ensures the satisfactory performance of laboratory work and minimum passing in the term-work.

Oral Examination: Oral examination will b~ based on entire syllabus.

Scope of the Lab : I. AM principle and demodulation using diode detector circuit. 2. Balanced Modulator 3. I'M generation 4. Radio receiver characteristics like sensitivity, selectivity, image rejection 5. ASK System 6. FSK system. 7. PSK.systern - BPSK,DPSK 8. Signal sampling 9. Pulse code modulation 10. Linear block codes.

Text books: I. Tomasi W. Advanced Electro·nics Communication systems, PI-ll, 4'h Edition 1998 2. Taub & Schilling, pnnciples of C(lmmunication systems, McGraw Hill, 2"d Ed. 1987 3. John C. Proakis "Digital Communication" McGTaw Hill International, 1995 4. Haykin S Communication systems; John Wi ley & Sons, 3'd Ed. 1995.

Refcrcuce Bool<S: • I. Lathi B. P. - ModernDigital and Analog Communication System, Oxford Unive.rsity

Press, 1998, 3!d edition. 2. Dennis Roddy and John Coolen- Electronic Communications, Prentice Hall of India, 3'd

Ed !992. Universitv of Mumbai

Class: T.E. Brauch: Electrical Semester: V Engineerino

Subject: Power System Anal s is abbreviated as PSA Periods per Week Lecture 4 (Each 60 min) Practical

Tutorial 2 Hours Marks

Evaluation System Theor · 3 100 Practical and Oral

,---Contents Module Hours

Symmetrical Fault Analysis:

• Transient on a Transmission line,

• Short Circuit of a Synchronous Machine: no load and

loaded conditions. I • Selection of Circuit Breakers. s

• Short circuit MV A

• Algorithm for short circuit stu4ies .

• ZBUS formulation .

Symmetrical Components:

• Symmetrical Component transformation .

• Phase shift in star-delta transfomters .

• Sequence impedances and sequences ne~>.tork of 2

transmission lines, synchronous machim. and (i

transformer.

• Power invariance . ' Construction of sequence network of a Power System . •

• •

Unsymmc(rical Fault Ao:1lysis

• Symmetrical fault analysis of unsymmetrical faults,

• Single line to ground (SLG) faull. Line to Line (LL) 3 fault. Double line to ground (LLG) fault. 6

• Open conductor faults .

• Bus impedance matrix method for analysis of

unsymmetrical shunt faults.

Power System Transients: 4 Tr"nsients 8

• Transient in simple circuits

• Recovery transient due to removal of short circuit.

• Arching grounds, capacitance switching, current

chopping.

• Measures to reduce over voltages

Traveling Waves

• Traveling Waves on Transmission lines, W11VC equation,

reflection and refraction of waves, typical cases of line I terminations, attenuation, Bewley lattice diagram, corona

loss and effective shunt conductance.

Lightening

• Lightening phenomenon, mechanism ofligbtning

stroke, shape of lightning voltage wave, over voltages

due to lightening, lighting protection problem, tower

footing resiswncc, insulator flashover and withstand • ' voltages, probability of occurrence of lightning stroke

currents,

• Protection against surges, surge arresters, surge

capacitor, surge reactor and surge absorber.

• Lightning arrestors and protective ch.aracteristics,

dynamic voltage rise and addressor rating, insnlation

coordination based 011 lightning .

Insulation Coordination:

• Volt-time curve .

I 5 .. Over voltage protection. Ground wires. 5

• Surge protection of rotating machines & transformers .

1-·-- Corona:

• Phenomenon of Corona 6 5

• Corona pulses-their generation and properties

• Disruptive critical voltage, Visual critical voltage . --

\\

Coronal loss, charg<' voltage diagram(q-V)

• Attenuation of traveling waves due to corona loss

• Advantages and disadvantages

• Factors affecting corona loss, corona ring

• Radio interference (Rl), Television interference (TV I)

due to corona, conductor size selection

• Practical considerations corona in bundled conductor

line..~.

• Corona in HV DC lines

Voltage Gr:tdicnts of Conductor

• Field of:- point charge, sphere gap, line chargc,2·

conductor line

• Charge potential relation for multi conductor line

7 • Maximum charge condition s

• Surface voltage gradient on conductors: • single

conductor, two conductor bundle

• Mangoldt Formula

• Gradient factor and uses

Reactive !'ower, and Voltage . • Generation and absorption of reactive power

• Role of reacti vc power on voltage and voltage

regulatiM, system load line

• Incremental reactive power. acti ve power and voltnge

8 at a node .5

• P-V 3nd Q· V Nose Curve .

• Real and reactive power operating contours

• Reactive power rcquireme1it of line

• Various methods of voltage control:- Series, shunt.

Static VAR system. transformer

• EITcct of volta~c and frequency on load

T heor:y Examination: 16. Question paper will comprise oflotal7 questions, each of20 marks. 17. Only 5 questions need to be solved. 18. Q.l will be compulsory and based on the entire syllahus. 19, Remaining questions will be mixed in nature. 20. In question paper weightage of each module will be proportional to the number of

respective lecture hours as mentioned in the syllabus

Oral Examination:

Oral examination will be based on the cntir~ syllabus.

Tem1 work:

Tenn work consists of minimum eight tutorial/ computer programs and a written test. The distribution of the term work shall be as follows, Laboratory work (Experiments and Journal) : 1 0 marks Test (at least one) :10 marks Attendance (Practical and Theory) :05 marks The 11nal certification and acceptance of term-work ensures the satisfactory perfonnancc of laboratory work and minimum passing in the term-work.

Text Bool<s:

1. Kothari l).P Nagrath l.J. Power System Engineering, TMIII'ubli.:ations, Second editi .2008.

' 2. Wadhawa C.L. Electrical Power Systems, New Age International, Fourth Edition, 200 3. GuptA Jl.R. Power System Analysis and Design, Wheeler Publishing, third edition, 199 4. Begamudre RD. Extra High Voltage Ac Transmission Engiuc~ring, New Age

International Publishers, Third Edition 2007 5. Grainger J.J Stevenson Jr W. D, Power System Analysis, Me GRA W-HII..Intemation

Edition 6. Chakrabarti .A Soni M.L Gupta P.V J3hatnagar U.S, Power Syslem Engineering, Dhan

Rai & CO Ltd, Edition 2006.

Reference Books:

l. Saadat Hadi, Power System A:1alysis, TMH Edition, 2003. 2. Gonen Turan, Electric Power Transmission System Engineering, Analysis and Design.

,-----=:.JO=..:HN WILEY & SONS, A Wiley International Edition 1988 Univcrsi of Mumbai

Class: T.E. Brunch: Electrical Sl.'mester: V

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Engineering I Subject: Power Electronics (Abbreviated as PE) Periods per Week Lecture 04 (Each 60 min) Practical 02

Tutorial ---Hours Marks

Evaluation System Theorv 03 100 Practical and Oral 02 50

Oral --- --Term Work --- 25

Total 05 175

Module Contents Hours Silicon Controlled Rectifiers 08 Princ,iple of operation of SCR, Static & Dynamic characteristics,

1 Gate characteristics, Methods of turning on (Type of Gate Signal), Firing circuits (using R, R-C, UJT),Commutation Circuit, Protection ofSCR

Other Switching Devices 04

2 Principle of operation, citaracteristics, I"dting and applications of Triac, Diac, GTO, MOSFET, IGBT and Power BJT, Driver circuits for Power transistors.

Con I' rolled Rectifiers l3 Introduction, Half wave con(rolled r,ectifiers with R, R-L load, Full Wave controlled rectifiers (Half controlled & Fully controlled)

3 with R., R -L load (effect of source inductance not included),Sirigle phase dual converter, Three phase half controlled & Fully controlled rectifiers with R load only, Applications, Numerical based on calculation of output voltage.

Inverters 13 Introduction, Principle of operation, Performance parameters,

4 Single phase bridge Inverters, 3 phase bridge Inverters(l20° and 180° conduction mode) with R & R-L load,, Voltage control of 1 phase inverters, Voltage control of single phase using PWM techniques, Harmonic neutralization of Inverters, Applications, Numerical with R load only.

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5

6

Choppers Basic principle of step up & step down choppers, DC-DC switching mode regulators - Buck, Boost, Buck-Boost, Cuk regulators, (CCM mode only), Applications, Numerical included

AC Voltage Controllers introduction of AC Voltage Controllers, Principle of On-Off Control, Principle of Phase Control, Single Phase bidirectional control with R & R-L load, Applications. Numerical included

6

,~----~ -~--~----------------------------------------1-~ Cyclo Convertor

7 lntroducliOi1, Single Phas'e and three phase Cyclo-converters, Applications

Theo•·y Examination: 21. Question paper will comprise of total 7 questions, each of 20 marks. 22.0nly 5 questions need to be solved. 23.Q.J will be compulsory and based on the entire syllabus. 24.Remaining questions will be mixed in nature. 25.ln question paper weightage of each module will be j:roportional to the

number of respective lecture hours as mentioned in the syllabus

Term work: Term work consists of minimum eight experiments and a written tesL The distribution of the term work shall be as follows, Laboratory work (Experiments and Joumal) :I 0 marks Test (at least one) : J 0 marks Attendance (Practical and Theory) :05 marks The final certification and acceptance of term-work ensures the satisfactory performance of laboratory work and minimum passing in the tenn-work.

Praclical and Oral Examination: Practical examination will be based on one experiment performed from the list of experiments given in the syllabus and the oral will be based on entire subject.

Suggested List of Pr-.tcticals: 1. VI Characteristic of SCR 2. Characteristic of any one high switching frequency devices 3. Firing circuit ofSCR 4. Commutation circuit ofSCR 5. Experiment based on controlled rectifiers 6. Experiment based on inverters 7. Experiment based on choppers 8. Experiment based on AC regulators 9. Experiment based on cycloconverters 1 O.Light dimmer circuit using triac ll.Speed control of motors

Suggested List of Simulations: '

1. Simulation of controlled rectifiers 2. Simulation of single phase bridge inverters 3. Simulation for 120 ancl 180 mode of conduction 4. Implementation ofPWM technique 5. Simulation of any one DC to DC converters 6. Simulation of AC controllers 7. Simulation of Cycloconverters

TextBooks: 1. "Power Electronics" M.H.Rashid, Prentice-Hall of India 2. "Power Electronics"Ncd Mohan, Undeland, Robbins, John Wiley

Publication 3. "Power Electronics", V.P. Mooni, Oxford University Press, New Delhi. 4. "Thyristors & their applications" Ramamurthy 5. "Power Electronics & its Applications" ---Aiok Jain, Penram International

Publishing (India) Pvt. Ltd. 6. "Power Electronics" ---Vedam Subramanyam, New Age International

Reference Book: 1. "Power Electronics" ---Landers, McGraw Hill

2. "Power Electronics" ---M.D. Singh, K.B .K.hanchandani, Tata McGraw Hill 3. "Modem Power Electronics" ---P.C.Sen, Wheeler Publication

4. Related Websites

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University of Mumbai ClASS: T.E. Electrical Engineering SUBJECT: Environmental Studies

Periods per week (each of 60 min.)

Semester-V

Lecture 2 Practical -Tutorial 1*

Hours Marks Evaluation System Theo Examination 2 50

Practical examination Oral Examination

Term Work 25 Total 75

• C lass wise Tutorial

'""objective: This course is to create environmental awareness, of variety o f environmental concerns.

Modul Contents e 1 The Multidisciplinary nature of environmental studies

Definition, scope and importance Need tor public awaren~ss

2 Natural resources Renewable and non-renewable resources Natural resources & associated problem. a. Forest resources: Use and ""'"-explOitation. deforestatoon, case studies.

Timber extraction. mining. dams anc their effects on forests dnd tribal people.

b. Water resources: Use and over-utolization of surface and ground water. ' floods, drought, confliets over water, dams-bene*its and problems

c Monera! resources: Use and exploitation, environmental effects of extractong and using mineral resources, case studoes

d FOOd resources· Workl food problems overgrazu1g, effects of modem agroculture. fertolizer-pesllcrde problems, water loggong salonoty, case studies.

e Energy resources. Growmg energy needs, renewable and non renewable ene!gy sour~es. use.ot alternate energy sources Case studies.

f. Land resources: Land as a resource, land dlegradation man induced landslides. sool erosion and desertification.

• Role of an Individual in conseNation of natural resources . Equttable use ol resources for sustaonable lolestytcs

1-3 --• Ecosystems • Concepts of an ecosystem . • Structure and function of an ecosystem . . Producers. consumers and decomposers_ • Energ•t flow in the ecosystem .

Hr s 1

4

3

• Ecological succession . • Food chains. food webs and ecological pyramids. • Introduction, types, characteristic features, structure and function of the

fotlowi.ng ecosystem: a. For est ecosystem b. Grassland ecosystem c. Desert ecosystem d. Aauatic ecosvstem Coonds streams, takes rrvers, oceans. estuaries)

4 Biodiversity and itS conservation 4 . Introduction-Definition: genetic spec1es and ecosystem diversity

• Bio-geographical classification or India . Value or biodiverSity: Consumptive use. productive use • social, ethical, aesthetic and opbon values

• Bio-diversity at global, national, local levels • India as a mega diversity nation

~ • Hot spots or bio-diversity • Threats to biodiversity: Habitat loss, poaching of wild life,

man-wildlife conRicts • Endangered and endemic species or India • Conserv!ltion of biodiversity: In- situ and Ex-situ conservation

of biodiversitv 5 Environmental Pollution Definition - 4 . Causes, effects and control measures of:

a Air pollution b. Water pollution c. Soli pollution d. Marine pollution e. Noise pollution r Thermal pollution g. Nurl~>ar Hazards

• Solid waste management: Causes, effect and control measures of urban and industrial wastes

• Role or an Individual in prevention of pollution • • Pollulion case stud1es •

• Disaster management Roods, earthquake, cyclone and land slides

-6 Social issues and environment 4

• From unsusta•nable to sustainable development • Urban problems related to energy • Water conservation, rain water harvesting, watershed

management • Re-seltlement and rehabilitation or people: Its problems and

concerns. case studies • Enwonmental ethiCS: issues and possible solutiOn • Cl1mate change, global wanning, acid rain. ozone layer

depletion. nuclear accidents-and holocaust. Case studies. • Wasteland reclamation • Consumerism and waste products • Environment protectiOn ad

• Atr( Prevention and control of pollut1on ) act • Water ( Prevent;on and contcol of pollution ) act • Wildlife erotection act

1'6

t \.,

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• FOfest conservation act • Issues Involved in en!orc(jment of environmental legislation • Public awareness

7 Human population and the environment • Popu1ation growth, variation among nations • Population Explosion- lomily wGifare program • Environment and human health • Human rights • Value education • HIV/AIOS • WOfncn and child welfare • Role of information technology In envtronment and human

health • Case studies

a Understanding Existence aud Co-existence - -Interrelation and Cycr.cily between Material order, Bio-order, Animal order and l~uman order Understanding the human conduct: Relationship rn :=amify, Justice in Relationship, Relations hip of Human with Nature (Environment}, Human Behavior. Human Values, Nature and Morality Understanding the human society Dimensions of Human Endeavor and Obsectives. lnterrefatronship in &>ciety. Mutual Fulfillment and Cvclicit):: In Nature. -

Theory Examination. 1. Question paper will be comprising of total 7 quesbons. each or 10 marks 2. Only 5 questions need to be solved 3. QuesUon number 1 will be compulsory and covering the all modules 4. Remaining questions will be mixed in nature. (e.g.- suppose Q 2 has part (a) from,

module 3 then part (b) will be from any module olher than module 3.) 5 In quest1oo pal)ef weightage of each module will be proportional to number of

respecttve lecture hours as mentioned in the· syllabus.

Tonn work:

4

6

Term work shall consist of minimum five ptojects (PROJECTS SHAll BE DESIGNED ON THE SAME GUIDE· LINE OF GIVEN TEXT BOOK) and a written :est. The distribution of marks for term wotk shall 'leas follows, Laboratory ,.roO< (TutoriaVProject and Joumat) . 15 marks Test (at least one) 10 matk.s The final certifrcation and acceptance of term-work ensures the satisfactory performanco of laboratory work and minimum passing in the term-work.

Recommended Books; 1. Erach Bharucha, text book of environmental studies, Universities PresSIOnent Blackswao 2. Jagdrsh Krrshnaswaml, R J Ranjit Daniels, 'Environmental Studies", Wiley India Private

Ltd. New delhi 3. Anindrta Basak, 'Envrronmentat Studres·. Pearson 4. Deeksha Dave. •rex• book of . 'Environmental Stud•es". Cengage learntng. Thomason

India edition 5. Benny Joseph . 'Environmental Studies", Tata McGRAW HILL 6. D L Manjunath. , 'Environmental Studies',Pearsoo 7. R Rargopalan, , 'Environmental Studies", Oxford 8 AJok Debi, 'Environmental science and Engineering·. University press 9. A. Nagraj . Jeevan Vidya· A Primer

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Semester VI

r Sr.N ' Subject

0

I Control System-! Protection and

2 Switchgear Engineerin~t

3 Signal Processing

4 Electrical Machine-Ill

M icroproccssor 5 and

Microcontrollers

6 Project Manaocmcnt

Total

UNIVERSITY OF M1Jl\'IDAf Syllabus Strudurc (lt-2007)

at T.E.(ELECfRJCAL ENGJNEEIUNG)

Scheme of Instructions, Periods per week Scheme ofEvaluntion

( 60 min Pa>er Term Practical

Thoory Pr11ctical Tutorial Hours Marks work &Oral

4 2 .. J 100 25 -· .

4 2 - 3 100 25 ·-

4 - 2 3 100 25 -

4 2 - 3 100 25 50

4 2 - J 100 25 -·

A -- I 3 100 25 --24 8 3 600 • ISO 50

Total Oral

Marks - 125

25 150

- 125

- 175

25 !50

- 125

50 850

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Univcrsitv-ofMumbai Class: T.E. Branch: Electrical Semestu: Vr

EngineerinJt Subicct: Control Svstcm Engineering- !(abbreviated as CSE-I Periods per Week Lecture 04 (Each 60 min) Practical 02

Tutorial --Hours Marks

Evaluation System Theorv 3 100 Practical and Oral -- --

Oral -- --Tetm Work -- 25

Total 3 125

Module Contents Hours Concept of Open loop & Closed loop control systems:

l Gxamples and applications of open loop and closed loop systems. Brief idea of multivariable control systems, control 4 system components, AC & DC servo motors, stepper motor, potentiometer, tacho v;enerators Mathematical modeling: Representation of physical system

2 (Electro-mechanical)by differential equations. Detcnnination 8 of transfer function by block diagram reduction tcclmique

siL':nal flow graph method. State Variable Analysis: Concepts of state, state variables

" and state model. State models for linear continuous-time j

5 systems. Diagonalization Transfer functions. Solution of state ' I eauations. Concepts of controllability and observabilitv Time response Analysis: Time response Analysis oi first

4 order and second o•·dcr system. Steady state error and error constants, Definition of root locus, Rules for plotting root loci, 10 Stability analysis using root locus. Effect of addition of pole and zeros, Root l:>cus with dead time, SensitivitY & root locus

5 Stability of the system: Absolute stability and relative stability, Routh's stability criterion, Stability and steady state 7 error in state soacc Frequency Response Ann lysis: Polar Plol, Bode plot, Design

6 specification in frequency domain and their co-relation with 10 time domain, Nyquist Stability Criteria I

7 Elcmenlnry ideas of compensating networks: Lag, Lead and 4 Lad-Lead networks , feedback comoensation and cascal!c

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compensation, Concept of proportional, derivative and integral conttollcr.(No numerical)

Theory Examination: 26. Question paper will comprise of total 7 questions, each of20 marks. 27. Only 5 questions need to be solved. 28. Q.l will be compulsory and based on the entire syllabus. 29. Remaining questions will be mixed in nature. 30. In question paper weightage of each module will be proportional to the

number of respective lecture hours as mentioned in the syllabus

Term work: Term work consists of minimum five experiments aJltl four l>rograms/simulatioos and a written rest. The distribution of the tem1 work shall be as follows, Laboratory work (Experiments and Journal) Test (at least one) Attendance (Practk:al and Theory)

:10 marks :10 n1arks :05 marks

The final certification and acC~!)tance ofterm-work ensures the satisfactory performance of laboratory work and minimum passing in the term-work.

Text Books:

I. Modern Control Engineering by Katsulliko Ogata, Prentice Hall of India Pvt. Ltd. 2. Control Sy~tem I:ingin~ering" ~y Norman Nise, 2"d edition, I 995. 3. S.P. Eugene Xavier, Josheph Cyril Babu,J., rirst Edition, S chand 4. Control system engineering by I G Nagrath & M. Gopal , wiley Easterfl Ltd

5'hcdition,2000.

Reference Books:

I. Modem Control enginc~ring~ by Richard C Dorf s H Bishop Eighth edition Addition Wesley 1998

2. Linear Control System Analysis and Design With Matlab, J. J. D'Azzo, C. H. Houpis and S. N. Sheldon, Marcel Dekker (2003) ISBN 0824740386.

3. F1:edback Control of DynamicS ystems, G. F. Franklin, Pearson H1gher Education (2002) ISBN 0130980412.

4. Control System Engineering, Shi\•;magraju S. DeviL., New Age lntcmational, First Edition

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University of Murnbai Class: T.E. Branch: Electrical Semester: VI

En.£~,ineering

Subject: Protection and Switchgear Eneinecring (abbreviated as PSE) Periods per Week Lecture 4 (Each 60 min) Practical 2

Tutorial --J I ours Marks

Evaluation System Theory 3 100 Practical and Oral -- --

Oral 25 Term Work -- 25 . Total 3 150

Modulo Contents Hours Principles of circuit Jlrc11ldng Initiation of arc, arc extinction, D.C & 1\.C circuit breaking, arc voltage and current waveforms in an A.C circuit. Definition of transient recovery, rate of rise ofTR V,

I expression for TRV for different values of arc resistance, 13 CUITCn( chopping.

Theories of arc extinction, arc control d~vices, HRC fuse. Rating and specifications of circuit breakers. making and breaking capacities, short circuit testing, Acquaintance of lSI sumdards. low Tension Switchgear· Different types ofL T switchgears: •

2 (a) Air Circuit Breaker (ACB) : construction and working 08 (b) Miniature circuit breakers (MCB) and Mounded cose

circuit Breakers (MCCB), Contact shapes and materials, contact bounces. Medium nnd High Tension Switchgear

Principle of arc quenching in :

3 (a) Air Blast circuit Breaker (ABCB) (b) Bulk oil circLiit 13renkcr (BOCB) 08 (c) Minimum oi l circui1 Breaker (MOCB) (d) Vacuum circuit breaker. (e) SF6 Circuit Brea.<er

Pr·otection Relaying Objective of protec1ivc relaying

4 (a) Protective zones. Primary and backup Protection. 08 (b) Dcsimblc qualities.

' Electromaguctic Relays, Stmic Relays, uP based Protective schemes (nro!lramming or intcrfacins excluded)

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Principles and characteristics of (a) Ove; current relays - Time setting, plug setting, IDMT relays. (b) Directional Relays. (c) Distance Relay - Resistance, Reactance, Impedance, MHO relays. (d) Differential Relay. Power System Protection Relevant protection for different types Earth faults. Protection of transmission lines & feeders. Pilot wire relaying.

5 Protection of Generators, Protection against loss of prime mover and loss of excitation, tield suppression, out of step II relaying. Protection of induction motors against single phasing and over current, Garth Leakage circuit Breakers; Introduction to DSP based protection (only simple schemes, advantages, etc.) . Theory Examanation:

31. Question paper will comprise of total 7 questions, each of20 marks. 32. Only 5 questions need to be solved. 33. Q.l will be compulsory and based on the entire syllabus. 34. Remaining questions will be mixed in nature. 35. In question paper wcightage of each module wiJI be proportional .o the number of

respective lecture hours as mentioned in the syllabus Tc•·m work: Tcnn work consists of minimum eight experiments and a written test. The distribution of tho term work shall be as follows, Laboratory work (Tutorials and Joumal) :10 marks Test (at least c.:~) :10 marks Attendance (Practical and Theory) :05 marks The final certification and acceptance of term-work ensures the satisfactory performance of laboratory worj< and minimum passing in the term-work. Oral Examination:

Oral examination will be based on entire syllabus. Text books:

I. Badri ram and vishwakamta D.N. Power S)'Stcm protection and Switchgear TMH Publication first edition 1994

2. Ravindranath & chander, Switchgear & protection, Wiley Eastern LTD first Ed 1997 3. Paithankar Y.G .and Bhidc S.R Fundamentals of Power system Protection P.H.l

Publication EEE 2003 4. RliO Sunil S Switchgear & protection, Khanna publication, fourth Ed 1997 5. Rao.Madhav ,static relays, TMI I publication second Ed 1994

Reference books: I.GEC relay guide 2.Phodke A.G, & lh()(pe J.S. "compuler Relaying for power systems . "john wiley &

sons Ed. , 1990

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Unive•·sitv ofMumbai Class: T.E. Branch: Electrical Semester: VI

Engineering Sub.iec.t: Signal Processing (abbreviated as SP) Periods per Week Lecture 04 (Each 60 min) Practical --

Tutorial 02 Hours Marks

Evaluation System Theory 3 100 Practical and Or.al -- --

Oral Tenn Work -- 25

Total 3 125

Module Contents Hours-

I Definition and classitlcation of signals and systems, operations on sign.tls, power spectrum( amplitude &phase 10 spectrum),Energy and power spectral density ,Convolution Z-Transform, Single &double sided Z-Transfonn, ROC

2 determination. Inver-se Z-Transform. Solution of difference 12 equ?tion ,pole -zero diagrarn,Causility & stability, magnitude and phase response of LTl system, Frequency Domain Analysis of DT systems· --Pole -Zero diagram Frequency.. Domain Analysis using

' analytical and graphical techniques .System classification

12 J based on pa.ss band .System classification based on phase . response us minirnum phase, maximum phase, mixed phase. Stability analysis

4 DTf1'.&DFT ,OfT properties,FFT(Radix -2 DIT) 10

DSP Processor: Need for special Architecture. Difference 5 be.tween DSP processor and microprocessor. Architecture of 04

DSP Processor.

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Theory Examination: 36. ·Question paper will comprise of total 7 questions, each of20 marks. 3?. Only 5 quest.ions need to be solved. 38. Q. l wi ll be compulsory ancl based on the entire syllabus. 39. Remaining questions will be mixed in nature.

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40. In question paper weightage of o>ach module will be propOrtional to the number of respective lecture hours as mentioned in the syllabus

Term work: Term work consists of at least six programs and four assignments and a written test. The distribution of the term work shall be as follows, Laboratory work (Experiments and Journal) :I 0 marks Test (at least one) :I 0 marks Attendance (Practical and Theory) :05 marks The final certification and ncceptance of term-work ensures tho satisfactory performance of laboracory work and minimum passing in the term-work.

List of suggested Programs: I. Generation of Standard DT Signals

, 2. Linear Convolutions. 3. Circular Convolution. 4. Pole - zero plot 5. Magnitude & phase response ofLTI system. 6. OFT. 7. FFT (DIT). 8 FFT(DIF).

Text books: J. Salivahan S.,"Digital Signall>roccssing",TMI! Publication, 2001 2. Oppenhein&Schafer," Discrete Time Signal Proccssing",PHt Publication, 1989 3. Haykin Sand VanVeen B., Signal & Systems, Wiley publications, 2"" Ed. 2002. 4. Linder O.K. , Introduction to Signal & Systems, McGraw Hill International. 1999 5. Ambardar, Analog & Digital signal processing, Thomson ieaming, 2nd Ed. 6. CHI· TSONG Chen, "Digital Signal Processing", Oxford University Press, New Delhi.

Reference Books: I.Proakh,D.G.Manolakis J.G.," Digital Signal Processing" PHI Publications.l995 2. Lathi !J.P., Signal & Systems, Oxford University press, 2n.l Ed. 1998. 3.0ppenhcim and Schaffer. Discrete time Signal Processing, PHI Publication, 1989 4. Mitra S. K.," Digital Signal Processing", TMII publication. 2001

University of Mumbai Class: T.E. Branch: Electrical Semester: VI

Enoineerino Subject: Electrical Machine IU(abbreviated as E.MC-IIT) Periods per Week Lecture 4 (Eaclt 60 min) Practical 2

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Tutorial ---f-lours Marks

Evaluation System Theory 3 100 Practical and Oral 2 50

Oral -- -Term Work -- 25

Total 5 175

Module Contents Hours Synchronous Generator: 28

I Construction, emf induced, winding factors, armature reaction, phasor diagram, OC and SC test, voltage regulation by EMr, MMF, ZPF, ASA, Saturated synchronous method, power flow and maximum power conditions, parallel operation, effect of field current on altcmator com1ected to infinite bus, salient pole generators, Blondel's two reaction thcJry, power angle characteristics, synchronizing power and torque.

Synchronous Motor: 14 ~ Principle of operation, phasor diagram, power flow and

maximum power conditions, excitation circles, power circles, V curves and 0 curves, power factor control( Effect of change in excitation on power factOr), Hunting, starting methods, starting against high torques, Dampers, Measurement of Xd and Xq.

Special purpose Machines: 06 3 Stepper motor and their types, working prinr.iples, drive

circuits. Variable Reluctance Motor, construction, principle of operation.

Theory Examimltion: 41. Question paper will comprise of total 7 questions, each of20 mark~. 42. Only 5 questions need ro be solved. 43. Q. l will be compulsory and based on the entire syllabus. 44. Remaining questions will be mixed in nature. 45. In question paper weightage of each module wit[ be proportional to the number of

respective lecture hours as mentioned in the syllabus

Pnlctical and Oral Examination:

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Practical examination will be based oa one experiment performed from the list of experiments given in tl1e syllabus and tl1e oral will be based on entire subject.

Term work: Term work consists of minimum six experiments and a written test. The distribution of the term work shall be as foUows, Laboratory work (Experiments and Journal) : l 0 marks Test (at least one) :10 marks Attendance (Practical and Theory) :05 marks The final certification ru1d acceptance of term-work cru;ures the satisfactory performance of labomtory work and minimum passing in the term-work.

~isl of Laboratory Expcrimen ts: 12. Regulation of alternator by direct loading. 13. Regulation of alternator by EMF and MMF method 14. Regulation ofal!cmator by ZPF, ASA and saturated synclu:onous method. !5. Gxcitation rcqllired to keep terminal voltage of an alternator constant. I 6. V and inverted V curves of synchronous motor 17. Determination of Xd and Xq by slip test. !8. Parallel operation of alternators

Text Boolcs: 5. Electrical Macllinery by P.S.Bhimhra, VII Edition, Kha.una Publisher 6. Generalized Theory of Electrical Machines by Dr. P.S.Bhimhra, V Edition, Khanna

Publisher -;. Electrical Machines by Nagrath and Kothari.TMH Publication. 8. 'Eiec1rical Machines'; by Charles I. Hubert, Pearson Education

Reference nooks: 6. rerfonnnnce and Design of AC Machines by M.G.Say, CBS Publisher 7. Electrical Machines by Fitzgerald and Kingsley 8. 'Electrical Machines',by S.K.Bhattach31ya, Tala McGraw Hill Publishing company ltd,

second edition, 1998 9. • Electrical Machines, Drives, and Power System'. by TI1eodorc Wildi,Pearson Education

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C lass: T.E. llranch: Electrical Semester: VI Engineering

Subject: Microprocessors And Microcontrollcrs (abbreviated as MPMC)

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Periods per Week Lecture 4 (Each 60 min) ·Practical 2

Tutorial -Hours Marks

Evaluation System Theorv 3 100 Practical and Oral -- --

Oral -- 25 Term Work -- 25

Total 3 150

Module Contents Hours 8085 Microprocessor: Basic 8085 Microprocessor architecture and its functional blocks, 8085 Microprocessor JC pinouts and

I signals, address, data and CO(ttrol buses. Clock signals, instruction cycles, machine cycles and timing states, 4 instruction timing diagram. Programming of 8085 Microprocessor: Basic instn1ction set of 8085, addressing modes 8086 microprocessors: architecture and organization of 8086Microprocessor family , bus inte1'face unit,8086hardware pin signals, timing diagram of8086 family Microprocessor,

2 simplified readl .... rrite bus cycles,8086 minimum and maximum 8 modes of operation,8086/8088 memory addressing ,address

decoding, memory system design of 8086 family, timing consideration for memory interfacing, inpuVoutput port uddrcssitur and decoding 8086 Assembly language programming : Addressing modes,8086 instmction fom1ats and instmction set ,data transfer ,arithmetic, bit manipulation string, program execution .

3 transfer and processor control instructions, machine codes for 10 8086 instmction, assembly language syniax, assembler

directives, initialization instructions, simple sequential and looping programs in assembly language, debugging assembly langual!e LXOI!rams. Input Output interface circuit and LSI peripheral devices: 8255a programmable peripheral interface, Memory mapped

4 1/0 port, 8254 Programmable Interval Timer, $237

6 . Programmable direct memory access Controll cr, Serial communication interface,8251 USART.

Compnring microprocessor and microcontroller, four bit to s· thirty two bit microcontroller introduction, development 8

system for microcontroller, 8051 Architecture 6 Basic asscmblv lan~rual!e orol!ramminl! concept, moving data, 8 _

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logical operation, Arithnmatic operation, Jump and call irutructioo, SimPle oro ing. Application of 805 I

7 !.Seven Segment LED display 2. AID and 0/A converter 04 3. Pulse measurement

Theory Examinat;on: 46. Question paper will compriscoftota17 questions, cachof20 marks. 47. Only 5 questions need to be solved 48. Q.l will be compulsory and based on the entire syllabus. 49. Remaining questions will be mixed in nature. 50. In question p3per weightag,e of each module will be proportional to lhc number of

respective lecture h.ours as mentioned in the syllabus Ttrm work: Term work consists of minimum ten progrnms (four programs based on 8086 & lhrcc programs based on 8051 3nd two programs based on Interfacing) and a written test. The distribution of the tcml work shall be as follo\>;S, Laboratory work (Programs and Journal) :I 0 marks Test (at least one) :11'1 marks Attendance (Practical and Theory) :05 marks The final certification and acceptance oftenn-work ensures the satisfactory perfonnance of laboratory work and minimum passing in the tenn-work.

Oral Examination: Oral examination will be based on entire syllabus.

Text Books: •

I. The 8088 and 8086 Microprocessors, walter A Triehei. A\\1ar Singh. Pcar~n Education. Fourth Edition

2. TI1e 8086 Microprocessors. Kenneth J. Ayala.. Thomson India Editiotl,IS13N: 81-315-0180

3. The 8051 microcontroller, Kenneth J. Ayala, Delmar O:ngagc Learning. 3'd edition, ISBN: 81-315-0200-7

4. PIC Micro Controller And Embedded System. Muhammad Ali Mazidi, Rolin D. Mckinlay, Danny Causey. Pearson Education, first imp~ion.ISBN:978-81-317-1675-;

Reference Books:

I. Fundamentals of Microcontrollcrs and Embedded System, Ramcsh (iaonknr, PENRA!.I international India Pvt. Ltd. ISBN: 81-87972-29-7

2. Microcontrollers : Features and Applications, Yadv O.S., A.K. Shing, New Age I ntemational, second edition

3. Microcontrollers: Theory and Applications, Ocshmukh Ajay, Second Edition, Tata Macgraw Hill

4. Programming: and Catorrizing the 8051 microcontroller, Predco Myk, Tata MacGraw Hill, first Edition

5. l'rogmmming the PIC Microcontroller with Mbasic, Smith Jack R., Elscverc India Pvt. Ltd. First reprint

University of Mumbai Cla~s: T.E. Bra11Ch: Electrical Semester: VI

Engineering Subject: Project Management (abbreviated as PM Periods per We;:-k Lecture 4

(Each 60 min) Practical --Tutorial l

Hours Marks EvAluation System Theory Examination 3 100

Practical and Oral -- --Oral

T~:m Work -- 25 Total 3 125 -

Module Contents Hours Projeci n .anagemonl & it organizalion. Nature & purpose of P.M -concept of project, project

l identification, formula. analysis, risk. planning. Project 12 design & n/w analysis. projecl report. appraisal, Project organization, EstablishinQ o project oraonizofion

2 Contract administration Conlracllow. Confrocl & 06 payment structure

' Account & finance. Financing the project, Cost J 10 - 4

estimation. Cost control, Controllinl:l cosh & c redit Planning & scheduling. Planning with charts, Critical path

10 methods. Resources scheduling.

5 Managing project material, Material planning & control. Project purcha~ng. lnspeclion & expectation. Project risk 10

I manoqement. projec: QuantitY manooement.

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Theory Exa mination: 51. Question paper will comprise of total 7 questions, each of 20 marks. 52. Only 5 questions need to be solved. 53. Q.l will be compulsoxy and based on the entire syllabus. 54. Remaining questions will be mixed in nature. 55. hi question paper weightage of each module wiii be proportional to the number of

respective lecture hours as mentioned in the syllabus.

Term work: Tcm1 work should consist of at least eight tutorials properly recorded and graded Laboratory work (Tutorial) :I 0 marks Test (at least one) :I 0 marks Attendance (Practical and Theory) :05 marks The final certification and accepumce ofterm-work ensures the satisfactory perfonnance of laboratory work w1d minim~m passing in the term-work. '

Text Books: I . Hand boo!< of project management. Denis lock. second edition. JPH 2. Project management- Vosont Desai, HPH.

Reference Books: 1. Pro!ecls. planning ,Analysis, financing, implementation & review

Prosonno Chandra. fif th edition. To McGraw hill. 2. A guide to the project management body of knowledge (PMBOK guide) prOle

management institute, Newtown square. Pennsylvania, USA.

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