2012 cse electrical paper 2

Z

SI. No F-DTN-M-FMFB

ELECTRICAL ENGINEERING

Paper—II

Time Allowed : Three Hours

Maximum Marks : 300

INSTRUCTIONS

Each question is printed both in Hindi and in English.

Answers must be written in the medium specified in the Admission Certificate issued to you, which must be stated clearly on the cover of the answer-book in the space provided for the purpose. No marks will be given for the answers written in a medium other than that specified in

the Admission Certificate.

Candidates should attempt Question Nos. 1 and 5, which

are compulsory, and any three of the remaining questions

selecting at least one question from each Section.

All questions carry equal marks.

Marks assigned to each part of the question are indicated at the end of the respective part.

Assume suitable data, if considered necessary and indicate

the same clearly.

Symbols/notations carry usual meanings, unless otherwise

indicated.

Important Note : Whenever a question is being attempted, all its parts/sub-parts must be attempted contiguously. This means that before moving on to the next question to be attempted, candidates must finish attempting all parts/ sub-parts of the previous question attempted. This is to be

strictly followed.

Pages left blank in the answer-book are to be clearly struck out in ink. Any answers that follow pages left blank may not

be given credit.

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Section—A

1. (a) Identify the correctness of the following statements. Justify your answers :

(i) The root locus gives idea about system's transient behaviour. 3

(ii) For an inherently stable second-order system, all the coefficients of characteristic equation are of the same sign. 4

(iii) A critically damped system has sustained oscillations. 3

(b) (i) In 8085 microprocessor, what is the advantage of multiplexing the address bus with a data bus?

5

(ii) Write an assembly level program of 8085 microprocessor to exchange the contents of DE register pair with that of HL register pair, using only PUSH-POP instructions. 5

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

0625 x10-4 V

s + 0 • 125 °C

Put the transfer function in standard format and find the values of characterising parameters of the thermocouple.

F-DTN-M-FMFB/12 2

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3

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5

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5

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0625 x10-4 V

s+0-125 °C

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F-DTN-M-FMFB/ 12 3 [ P.T.O.

Determine the thermocouple output voltage at t = 8 s, when the thermo-couple kept at ambient temperature of 20 °C at t = 0 s is taken to a water bath kept at 80 °C. 3+4=7

(ii) Comment upon `linearity' and `sensitivity' of thermistors in comparison to thermocouples. 2

(iii) Why is 'lead wire compensation' not required for thermistors? 1

(d) (i) What is the impedance of the ideal load connected to an HVAC transmission line?

2

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

2

(iii) Which electrical quantity measures the magnitude of electrical load in a system? What is generally the nature of the load current, capacitive or inductive, in the power system?

2

(iv) Under which condition is the receiving-end voltage higher than the sending-end voltage in a trans-mission line? Explain with the help of a phasor diagram. 4

(e) Describe the essential features of protective relay. 10

F-DTN-M-FMFB/ 12 4

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(ii) HVAC kitRur citv tau MTs a to nu

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(t) N A binary PCM system uses a uniform quantizer and an 8-bit binary encoder. If the bit rate is 100 Mb/s, what is the maximum bandwidth for which the system operates satisfactorily? Determine the output signal to quantization ratio when full-load sinusoidal modulating wave of frequency 1 MHz is applied to the input. 5

(ii) A discrete memoryless source is described by the alphabet X = I x1, x2 , • • •, x81 and the corre-sponding probability vector

P = {0.2, 0•12, 0.06, 0.15, 0.07, 0.1, 0•13, 0-17}

Design a Huffman code for this source; find L, the average code-word length for the Huffman code; and determine the efficiency of the code. 5

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

20

R(s)—> Ki —kr> K

s(s+10)(s+12) C(s)

F-DTN-M-FMFB/ 12 6

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fisi 7 100 Mb/s t, c14 anla5z

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faf-a a)d, 31E7

X = {xi , x2 , --, x8 }.Wt thTFft

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P = {0-2, 0.12, 0.06, 0.15, 0.07, 0.1, 0.13, 0.17}

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R(s)----> K $22> s(s+ 10)(s+ 12) ---•—>C(s)

5

20


(b) A three-phase, 66 kV/ 11 kV transformer is connected in star/delta. The trans-former is protected by Merz-Price circulating current system. Protecting current transformers on the low-voltage side have a ratio of 250/5. Find the ratio of the current transformer on the high-voltage side. 20

(c) For 8085 microprocessor, explain the CALL instruction, showing the details of main memory and stack. 20

3. (a) (i) Draw power triangles showing the three types of power and their units for—

(1) inductive loads;

(2) capacitive loads. 10

(ii) A single-phase, 240 V a.c. voltage is applied to a series circuit whose impedance is 10Z60° Q. Find R, X, P and Q, and also the power factor of the circuit. 10

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

Derive the transfer function relating output voltage (17,) to input displacement (x,). Arrange it in standard form and identify the

F-DTN-M-FMFB/ 12 8

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F—DTN—M—FMFB/ 12 9 [ P.T.O.

expression for characterising para-meters. The charge developed in piezoelectric crystal is related to xi by a constant kg . 10

(ii) "Piezoelectric transducers cannot be used to measure static displacement." Comment upon the statement. State the reason based on the transfer function derived in Part (Q. 2

(iii) If the lower range of frequency for displacement measurement is 5 kHz with 5% inaccuracy, what is the lower range of frequency for 2% inaccuracy?

8

(c) (i) Explain ASK, FSK and PSK modulation schemes used for transmitting the data. Draw clearly the block diagram for coherent detection and non-coherent detection of FSK modulation scheme. 10

(ii) A (6, 3) systematic linear block code encodes the information sequence X = (x1, x2 , x3) into code word C= (c1, c2, c3, c4, c5, c6) such that c4 is a parity check on c1 and c2 , to make the overall parity even, i.e., c1 8 c2 S c4 = 0. Similarly c5 is a parity check on c2 and c3, and c6 is a parity check on c1 and c3 .

(1) Determine the generator matrix of this code.

F-DTN-M-FMFB/12 10

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C= c2, c3, c4, c5, c6) 4 I-a-A-UR'

5F+7 =mot c4,c1 c2

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10

2

8


(2) Find the parity check matrix for

this code.

(3) Using the parity check matrix,

determine the minimum

distance of this code.

(4) How many errors of this code

are capable of correcting?

10

4. (a) (1) Under which different conditions a generator or a number of generators together may lose synchronism or fall out of step in an inter-connected power system? Explain in brief. 10

(ii) Relating the torque angle and the rotor angular displacement (electrical) of a synchronous generator, derive the 'swing equation' taking into consideration the inertia constant of the machine. Make suitable assumptions. 10

(b) For an 8085 microprocessor, write an assembly level program to transfer the contents of the stack pointer register to the output ports A 0 and Al . Write comments with selected instructions. 20

(c) (i) Some control systems have more than one inputs applied at different points in the system. How do we find the response of such systems, using block diagram algebra? Illustrate your answer with the help of a simple example. 10

F-DTN-M-FMFB/ 12 12

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F—DTN—M—FMFB/ 12 13 P.T.O.

(ii) For the block diagram representation of the figure shown below, determine the system characteristic equation. Is the system represented by this block diagram stable?

10

R(s) C(s)

Section—B

5. (a) (i) What are the limitations of Routh, Hurwitz and continued fraction stability criteria when used for determining system stability? What is Nyquist analysis? Where is this technique used? 6

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

(b) Can the 8085 microprocessor be interrupted before completion of existing Interrupt Service Subroutine (ISS)? Justify your answer. 10

(c) (i) Draw the basic circuit of an analog series ohmmeter to measure an unknown resistance R. 3

(ii) If the standard resistance and meter resistance add up to 20 162, and the battery is of 2.0 V, determine the instrument indication, when R, = 0 12. 2

4

F—DTN—M—FMFB/ 12 14

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10

6

F—DTN—M—FMFB/ 12 15 P.T.O.

(iii) What would be the resistance

value marked for 0.5 FSD (full-scale deflection)?

2

(iv) What component should be

connected and in which way to take care of falling battery voltage? 1

(v) When each time ohmmeter is used,

what adjustment is recommended for accurate measurement?

2

(d) (i) Define an electrical power grid in

one sentence. How is it achieved? 2

(ii) Write four main advantages of the electrical power grid system. 2

(iii) What is the purpose of installing a

`reactor' at a suitable location on a

long high-voltage a.c. transmission line?

2

(iv) Write the full form of FACTS. 2

(v) What are the advantages of

`reactive power control' installed on the transmission lines?

2

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

F-DTN-M-FMFB/ 12 16

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

(1) Find the impulse response of the encoder.

(2) Find the output code word if

the input sequence is all 1's (111111 ). 5

(ii) Determine the channel capacity of band-limited waveform AWGN channel with an input power constraint. 5

6. (a) (i) What are the basic elements of a static relay? Describe the function of each element. 12

(ii) What are the advantages of static overcurrent relays over the electro- magnetic form? 8

(b) Draw a block schematic of an 8255-programmable parallel I/O device, showing all elements and control word format. For mode 0 (simple input and output), determine the addresses of its ports and of the control register. Write a control word in the control register, when port A = output, port C u = output, port B = input and port C L = input. 20

F-DTN-M-FMFB/12 18

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(c) For the block diagram shown in the figure below, find the overall transfer function of the system. Verify the same, using signal-flow graph analysis : 20

R( s) C(s)

7. (a) (1) Draw the circuit diagram for a single line to ground fault on an unloaded Y-connected generator with its neutral grounded through reactance. Also draw the connection for three symmetrical component sequence networks for this case showing the currents and voltages. 10

(ii) A synchronous generator rated at 100 MVA, 20 kV has X" = X 2 = 20% and X0 = 5%. Its neutral is grounded through a reactor of 0.32 Q. The generator is operating at rated voltage without load and is disconnected from the system when a single phase to ground fault occurs at its terminals. Find the sub-transient current in the faulted phase. 10

(b) (i) Draw the neat sketch of OSI model. What is the significance of data link layer? Explain the flow-control and error-control mechanism. 10

F-DTN-M-FMFB/ 12 20

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F-DTN-M-FMFB/ 12 21 P.T.O.

(ii) Compute the CRC-4 character for the following message, using a modified divisor constant of 10011 :

10 1100 0110 1011 01

(c) The a.c. bridge circuit shown below is used to measure the excitation frequency of the source and the resistance Rx connected in arm CD of the bridge. Arm AB is parallel combination of R1 and C1, arm BC is fixed resistor R2 , arm AD is serial combination of R4 and C4 :

(i) Find the expression for the unknown resistance Rx at balance. 5

(ii) Find the expression for unknown excitation frequency (w) at balance. 5

(iii) If Rl = 200 12, C1 =1 t.tF, R2 = 400 E2,

0.5 and RQ= 2, find the value C4 Rl of R, in kE2 and frequency of excitation in kHz. 10

F-DTN-M-FMFB/ 12 22

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10

(TT)

1100 0110 1011 01

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5

zrR R1 =200 Q, q =1 mF,

R2 = 400 Q, G =0.5 Wan. a = 2 t, C4

Td R, fiT liR Ici2 A nu ‘3 ,31.4 az* kHz A wa• a I 10

F—DTN—M—FMFB/ 12 23 [ P.T.O.

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

(b) (i) Bring out the salient points of relation between DM and DPCM. Draw the block diagram of delta modulator and demodulator. 8

(ii) Find the capacity of an additive white Gaussian noise channel with a bandwidth 1 MHz, power 10 W and noise power spectral density

No =10-9 W/Hz 6

2

(iii) Explain cyclic codes. 6

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

(i) Identify the name of the circuit. Comment upon its CMRR in comparison to op-amp. 2

F-DTN-M-FMFB/12 24

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trfccm 3-1T331 -R, =1-4 * ft-1g f*q X14

Girl 384-73) TiTz ttf-4gi 8+12=20

(i) DM .Ell DPCM WRER1:11 Ft1.- *

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(iii)

2

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6

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2

(i)

('T)

F-DTN-M-FMFB/ 12 25

[ P.T.O.

(ii) Find the expressions for voltages at points ®, ®, @, and O. 10

(iii) If Vl = 5 V and V2 = 5.05 V and lie (voltage at point C)) is 5 V, find

the ratio of —R

and Rr,=, when

Ry R1 overall gain is divided in the ratio of 10 : 1 between first and second stage of the circuit. 8

F-DTN-M-FMFB/ 12 26

(ii) IT( trfttrq C), C), C), 2rt

trD7I 10

(iii) T Enki44 = 5 V NT

V2 = 5 .05 V Ai Ve (N3 ® ca)Trar)

5 V dcl arffTd R T4T R2 Vcf R9 R1

, RTerr a.R.T tiTERT nwr mfr

fah 10 : 1 3rf47 '`+-Tif7U I 8

* * *

F-DTN-M-FMFB/ 12 27 JS3-900

F—DTN—M—FMFB

"5174-717-1Ii

Taft 300

37-d3w vR frt 342- aint 41-ii 4 ow tt

3747 drl< deft 47_247 iWui 4aa arrek, &erTT 3-4zir am,* 37-4,47-ra 1%-in 4-6,7 g, Drttz wr r4e 3-4zy .pv-g-trw ggr-7

airwu fat 2:WT7 ult WzrT n1-11 With 51- 7-rff 4r 3regff TIMM 37P-AW agwr /%74t Tutzpt ford ng dry< Er 4e7 9041

spa ti<sqr 1 a* 5 37PdFf frr erd i 377-47 4 4 37-st w EerE 4 -4-4-4,4 3m4ff4m-r 7%Tef- wt4 Twat 3rf( etr-47/

F3# 5PM ak W114 gi

5r - * 344 arre 4 sky - • 4E4 i 37 77 4 127 4q t

41 34a7rw et, 4t aurg-ffi 3471 w aq4 424. u--4-*-t fat r~ t1P-4q,

rmt-th1 attr 4*- 53677 372f t, nm 374424 a ober 744 eat

Min : .Tre 311-alW g f e=r sit Wet AW a,7 drk e, air 577 414 2441/44-4mi in( ARV-A121 3r2f 3174 174 irf1 7a4 fc7<< amt wc4 rk4f4 c 1/Y4 Rtft I441/37-31F17 drf< i14/N. 1,eaq I Fr earl a r r1 371F12731 W-4g

drlt- # urat vire t r3 TurEFLT# chte r zgrl

C' !rug '74 .e dru7 Hcern tt

Note : English version of the Instructions is printed on the front cover of this question paper.

2012 cse electrical paper 2

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