electrical engineering 22012

7/29/2019 Electrical Engineering 22012

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ZSI. No-DTN-M-FMFB

ELECTRICAL ENGINEERINGPaperII

Time Allowed : Three Hours Maximum Marks : 300

INSTRUCTIONSEach question is printed both in Hindi and in English.Answers must be written in the medium specified in theAdmission Certificate issued to you, which must be statedclearly on the cover of the answer-book in the spaceprovided for the purpose. No marks will be given for theanswers written in a medium other than that specified inthe Admission Certificate.Candidates should attempt Question Nos. 1 and 5, whichare compulsory, and any three of the remaining questionsselecting at least one question from each Section.All questions carry equal marks.Marks assigned to each part of the question are indicated atthe end of the respective part.Assume suitable data, if considered necessary and indicatethe same clearly.Symbols/notations carry usual meanings, unless otherwiseindicated.Important Note : Whenever a question is being attempted,all its parts/sub-parts must be attempted contiguously. Thismeans that before moving on to the next question to beattempted, candidates must finish attempting all parts/sub-parts of the previous question attempted. This is to bestrictly followed.Pages left blank in the answer-book are to be clearly struckout in ink. Any answers that follow pages left blank may notbe given credit.

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SectionA

1. (a) Identify the correctness of the followingstatements. Justify your answers :(i) The root locus gives idea about

system's transient behaviour.(ii) For an inherently stable second-

order system, all the coefficients ofcharacteristic equation are of thesame sign.

(iii) A critically damped system hassustained oscillations.

(b) (i) In 8085 microprocessor, what isthe advantage of multiplexing theaddress bus with a data bus?

(ii) Write an assembly level program of8085 microprocessor to exchangethe contents of DE register pairwith that of HL register pair, usingonly PUSH-POP instructions.

(c) (i) The transfer function of a thermo-couple relating output voltage totemperature is given by

0625 x10-4 Vs+ 0 125 CPut the transfer function in

standard format and find the valuesof characterising parameters of thethermocouple.

F-DTN-M-FMFB/12


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F-DTN-M-MFB/ 12P.T.O.


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Determine the thermocouple outputvoltage at t = 8 s, when the thermo-couple kept at ambient temperatureof 20 C at t = 0 s is taken to a waterbath kept at 80 C.+4=7

(ii) Comment upon linearity' and`sensitivity' of thermistors incomparison to thermocouples.

(iii) Why is 'lead wire compensation' notrequired for thermistors?

(d) (i) What is the impedance of the idealload connected to an HVAC trans-mission line?

(ii) What is the nature of the load of anHVAC transmission line by itself,capacitive or inductive?

(iii) Which electrical quantity measuresthe magnitude of electrical loadin a system? What is generallythe nature of the load current,capacitive or inductive, in thepower system?

(iv) Under which condition is thereceiving-end voltage higher thanthe sending-end voltage in a trans-mission line? Explain with the helpof a phasor diagram.

(e) Describe the essential features ofprotective relay.0F-DTN-M-FMFB/ 12


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(7) (i) H V AC kit4tuf. (.114 4 km aircit f t c H 4 r A f d a r T g 7 tt-di t?

(ii) HVAC kitRur citv tau MTs a to nuUri 6Tht t,-?

(iii) ikcatt iiar atFoy, 4-t-4 tf4-r7rksrrzt:ra T +cReN %wift, vritffr zrr Ica *7?1 ;4 1 ( i- 4 4 , 1 444 -41tPA 4Thlt TM

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Ok e - 34-7:rT 7.-Tu n a clu41f-710F-DTN-M-FMFB/ 12P.T.O.


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(t) A binary PCM system uses auniform quantizer and an 8-bitbinary encoder. If the bit rate is100 Mb/s, what is the maximumbandwidth for which the systemoperates satisfactorily? Determinethe output signal to quantizationratio when full-load sinusoidalmodulating wave of frequency1 MHz is applied to the input.

(ii) A discrete memoryless source isdescribed by the alphabetX = I x1 , x2 , , x81 and the corre-sponding probability vector

P ={0.2, 012, 0.06, 0.15, 0.07, 0.1, 013, 0-17}Design a Huffman code for thissource; find L, the average code-word length for the Huffman code;and determine the efficiency ofthe code.

2. (a) For the control system, shown in thefollowing figure, determine the steady-state error for a unit step input in termsof K and K , where E (s) = R (s) - C (s).Determine the value of K1 , when steady-state error is zero :0

R(s)> Ki k>Ks(s+10)(s+12) C(s)F-DTN-M-FMFB/ 12


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P = {0-2, 0.12, 0.06, 0.15, 0.07, 0.1, 0.13, 0.17}ita r iT E Ecva aTr - -*F o RTOR v.*a1pia ctj *1 ztar liatf771

2. (T) K22> s(s+ 10)(s+12) --- >C(s) 520F-DTN-M-FMFB/ 12P.T.O.


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(b) A three-phase, 66 kV/ 11 kV transformeris connected in star/delta. The trans-former is protected by Merz-Pricecirculating current system. Protectingcurrent transformers on the low-voltageside have a ratio of 250/5. Find theratio of the current transformer on thehigh-voltage side.0

(c) For 8085 microprocessor, explain theCALL instruction, showing the details ofmain memory and stack.0

3. (a) (i) Draw power triangles showing thethree types of power and their unitsfor(1) inductive loads;(2) capacitive loads.0

(ii) A single-phase, 240 V a.c. voltageis applied to a series circuit whoseimpedance is 10Z60 Q. Find R, X, Pand Q, and also the power factor ofthe circuit.0

(b) The equivalent model of a piezoelectricalcrystal is shown below :

Derive the transfer function relatingoutput voltage (17,) to inputdisplacement (x,). Arrange it instandard form and identify the

F-DTN-M-FMFB/ 12


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F D TN M F M F B / 12P.T.O.


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expression for characterising para-meters. The charge developed inpiezoelectric crystal is related to xiby a constant kg .0

(ii) "Piezoelectric transducers cannotbe used to measure staticdisplacement." Comment upon thestatement. State the reason basedon the transfer function derived inPart (Q.

(iii) If the lower range of frequencyfor displacement measurement is5 kHz with 5% inaccuracy, what isthe lower range of frequency for2% inaccuracy?

(c) (i) Explain ASK, FSK and PSKmodulation schemes used fortransmitting the data. Draw clearlythe block diagram for coherentdetection and non-coherent detec-tion of FSK modulation scheme.0

(ii) A (6, 3) systematic linear blockcode encodes the informationsequence X = (x1, x2 , x3) into codeword C= (c1 , c2 , c3, c4 , c5 , c6) suchthat c4 is a parity check on c1 andc2 , to make the overall parity even,i.e., c1 8 c2 S c4 = 0. Similarly c5 isa parity check on c2 and c3, and c6is a parity check on c1 and c3 .(1) Determine the generator matrix

of this code.F-DTN-M-FMFB/120


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F-DTN-M-FMFB/121 P.T.O.


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(2) Find the parity check matrix forthis code.

(3) Using the parity check matrix,determne the mnimumdistance of this code.(4) How many errors of this code

are capable of correcting?04. (a) ( 1 ) Under which different conditions a

generator or a number of generatorstogether may lose synchronism orfall out of step in an inter-connected power system? Explainin brief.0

(ii) Relating the torque angle andthe rotor angular displacement(electrical) of a synchronousgenerator, derive the 'swingequation' taking into considerationthe inertia constant of the machine.Make suitable assumptions.0

(b) For an 8085 microprocessor, write anassembly level program to transfer thecontents of the stack pointer registerto the output ports A0 and Al. Writecomments with selected instructions.0

(c) (i) Some control systems have morethan one inputs applied at differentpoints in the system. How do wefind the response of such systems,using block diagram algebra?Illustrate your answer with the helpof a simple example.0

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FDTNMFMFB/ 123.T.O.


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(ii) For the block diagram representationof the figure shown below, determinethe system characteristic equation.Is the system represented by thisblock diagram stable?0

R(s) C(s)

SectionB5. (a) (i) What are the limitations of Routh,

Hurwitz and continued fractionstability criteria when used fordetermining system stability? Whatis Nyquist analysis? Where is thistechnique used? 6

(ii) Why are integral and derivativecontrollers not used in practice?

(b) Can the 8085 microprocessor beinterrupted before completion ofexisting Interrupt Service Subroutine(ISS)? Justify your answer.0

(c) (i) Draw the basic circuit of an analogseries ohmmeter to measure anunknown resistanceR

(ii) If the standard resistance andmeter resistance add up to 20 162,and the battery is of 20Vdetermine the instrument indication,when R, =0 12.4

F D T N M F M F B / 124


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(iii) What would be the resistancevalue marked for 0.5 FSD (full-scaledeflection)?

(iv) What component should beconnected and in which way to takecare of falling battery voltage?

(v) When each time ohmmeter is used,what adjustment is recommendedfor accurate measurement?

(d) (i) Define an electrical power grid inone sentence. How is it achieved?

(ii) Write four main advantages of theelectrical power grid system.

(iii) What is the purpose of installing areactor' at a suitable location on a

long high-voltage a.c. transmissionline?

(iv) Write the full form of FACTS.(v) Wat are the advantages of

reactive power control' installedon the transmission lines?

(e) What is circuit breaker rating? Explainthe rated making capacity of a circuitbreaker.+5=10

F-DTN-M-FMFB/ 126


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Ib~ l, t c hqvitta f4rriar war a r ou r 34 t?5+5=10F - D T N - M - F M F B / 127P.T.O.


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(t)0 A convolutional encoder is given inthe figure below :

(1) Find the impulse response ofthe encoder.

(2) Find the output code word ifthe input sequence is all 1's(111111 ).

(ii) Determine the channel capacity ofband-limited waveform AWGNchannel with an input powerconstraint.

6. (a) (i) What are the basic elements of astatic relay? Describe the functionof each element.2

(ii) What are the advantages of staticovercurrent relays over the electro-magnetic form?

(b) Draw a block schematic of an 8255-programmable parallel I/O device,showing all elements and control wordformat. For mode 0 (simple input andoutput), determine the addresses of itsports and of the control register. Writea control word in the control register,when port A = output, port C u = output,port B = input and port CL = input.0

F-DTN-M-FMFB/128


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truf Old al A4 WTT A = 1444,C u =TT B =144`41 a2rr rt4 C L = f4"31t, ffq14 .) f4A7 7 - r ePR I0

F - D T N - M - F M F B / 129P.T.O.


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(c) For the block diagram shown in thefigure below, find the overall transferfunction of the system. Verify the same,using signal-flow graph analysis :0

R(s) C(s)

7. (a) ( 1 ) Draw the circuit diagram for a singleline to ground fault on an unloadedY-connected generator with itsneutral grounded through reactance.Also draw the connection for threesymmetrical component sequencenetworks for this case showing thecurrents and voltages.0

(ii) A synchronous generator rated at100 MVA, 20 kV has X" = X2 =20%and X=5% Its neutral isgrounded through a reactor of0.32 Q. The generator is operatingat rated voltage without load andis disconnected from the systemwhen a single phase to groundfault occurs at its terminals. Findthe sub-transient current in thefaulted phase.0

(b) (i) Draw the neat sketch of OSI model.What is the significance of data linklayer? Explain the flow-control anderror-control mechanism.0

F-DTN-M-FMFB/ 120


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r-IcHs , - 1 a 4, f*Fth facafl10 0 M V A , 20 k V % , X"= X 2 = 20%

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F - D T N - M - F M F B / 121.T.O.


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(ii) Compute the CRC-4 character forthe following message, using amodified divisor constant of 10011 : 101100 0110 1011 01

(c) The a.c. bridge circuit shown belowis used to measure the excitationfrequency of the source and theresistance Rx connected in arm CDof the bridge. Arm AB is parallelcombination of R1 and C1 , arm BC isfixed resistor R2 , arm AD is serialcombination of R4 and C4 :

(i) Find the expression for theunknown resistance Rx at balance.(ii) Find the expression for unknown

excitation frequency (w) at balance.(iii) If Rl = 200 12, C1 =1 t.tF, R2 = 400 E2,

0.5 and RQ= 2, find the valueC4 of R, in kE2 and frequency ofexcitation in kHz.0

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F D T N M F M F B /123P.T.O.


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8. (a) What is the importance of testing of acircuit breaker? Explain different testscarried out to prove the ability of acircuit breaker.+12=20

(b) (i) Bring out the salient points ofrelation between DM and DPCM.Draw the block diagram of deltamodulator and demodulator.

(ii) Find the capacity of an additivewhite Gaussian noise channel witha bandwidth 1 MHz, power 10 Wand noise power spectral density

No =10-9 W/Hz2(iii) Explain cyclic codes.

(c) The circuit given below is made bythree ideal operational amplifiers(op-amp)

(i) Identify the name of the circuit.Comment upon its CMRR incomparison to op-amp.

F-DTN-M-FMFB/124


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8. (T) Eiftcr4i t4Tur 1 = K a u? 1 0,trfccmT331 - R, =-4 * ft1g f*q X 14Girl 384-73)iTz ttf4gi+12=20(i) DM .Ell DPCMRER1:11 Ft1 *

-F33-11 mi 43 *tr-31 cdr Trip*AN T c14-11Vit AF T sM irn 311-11N tirr 1

(ii) kct) tilipho /a T33141 T3 SI, fwfifr tgMHz, !Tf* 10 W nit rd74-47Ft Era -- 3 1 -=109 W/Hz %,

(iii)PATrai vcr*rr-312 : c r e T het r7RI64 aig4 1517E-41 (op-amp) aIkI fififffriftu31 ,4 fctir Tra y(i) E r f t c ( 2 4T I : (*1f71 TEr*

CMRR *[ op-amptEcruft2

(i)

( ' T )

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(ii) Find the expressions for voltages atpoints , , @ and O.0(iii) If V= 5 V and V2 = 5.05 V andlie (voltage at point C)) is 5 V, find

the ratio of and Rr,=, whenRy overall gain is divided in the ratio of10 : 1 between first and secondstage of the circuit. 8

F-DTN-M-FMFB/126


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(ii) IT( trfttrq), C), C),r ttrD7I0

(iii)T E n k i 4 45 V NTV2 = 5 .05 V Ai Ve (N3 )Trar)5 Vcl arffTd R T4T R2 VcfR9

,RTerr aR.T tiTERTwr mfrfah0 : 1 3rf47 '`+-Tif7U I

* **

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electrical engineering 22012

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