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Transformers and Generators Question Paper - Dec 17 - Electrical And Electronics (Semester 3) - Visveswaraya Technological University (VTU)
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Transformers and Generators - Dec 17

Electrical And Electronics (Semester 3)

Total marks: 80
Total time: 3 Hours
INSTRUCTIONS
(1) Question 1 is compulsory.
(2) Attempt Q1 or Q2, Q3 or Q4, Q5 or Q6, Q7 or Q8, Q9 or Q10.

(3) Draw neat diagrams wherever necessary.

1.a. Explain operation of a practical transformer on load. Also draw the phasor diagram.
(6 marks) 00

1.b. Show that open delta connection has a kVA rating of 58$\%$ of the rating of the normal delta delta connection. Also list the limitations of open-delta connection.
(6 marks) 00

1.c. A 20 kVA single phase transformer has voltage rating of 1100/110V. During short circuit test it gives the following readings : 60 V, 18 A, 560 W.LV side shorted. Find the power factor at which the regulation is (i) maximum, (ii) zero.
(4 marks) 00

OR

2.a. Define regulation of a transformer and obtain regulation of transformer by $\mathrm{OC}$ and $\mathrm{SC}$ tests.
(6 marks) 00

2.b. With the help of phasor diagram, explain how 2 phasc supply can be obtained from 3 phase supply using Scout connection.
(6 marks) 00

2.c. A three phase step down transformer with per phase turns ratio $47.6 : 1$ connected in delta/star and is supplying a load of $400 \mathrm{KW}, 0.8$ power fagging at 400 $\mathrm{V}$ . Sketch the connection diagram and show in it. the the voltages.phase currents and line currents.
(4 marks) 00

Module-2

3.a. List the conditions to be satisfiod for satisfactory parallel operation of both single phase and three phase transformers.
(5 marks) 00

3.b. A 10 KVA 230/110 V transformer is to be used as a step up transformer to step up 230 V to 340 volts what will be the output rating of the autotransformer.
(4 marks) 00

3.c. What is the necessity of rertiary winding and explain its operation in star/star transformers.
(7 marks) 00

OR

4.a. Derive an expression for copper saving in autotransformer.
(5 marks) 00

4.b. Two transformer each of 80 KVA are connected in parallel . One has a resistance and reactance of 1% and 4% respectively and the other has a resistance and reactance of 1.5% and 6% respectively. Calculate the load shared by each transformer and the corresponding power factor when the total load shared is 100 kVA at 0.8 power factor lagging.
(6 marks) 00

4.c. How do you obtain the equivalent circuit of a three winding trans former? Explain.
(5 marks) 00

Module-3

5.a. Explain in rush current phenomenon in transformers.
(5 marks) 00

5.b. A four pgle lap wound armature running at 1400 rpm delivers a current of 100 $A$ and $\operatorname{has} 64$ commutatór segments. The brush width is equal to 1.4 segments and inductance of each coil is 6.05 mH. Calculate the value of reactance voltage assuming (i) linear commutation. (ii) simusoidal commutation \lt/div\gt \ltspan class='paper-ques-marks'\gt(5 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt5.c. \lt/b\gt Explain any one method used to reduce the armature reaction effects in a dc machine. \lt/div\gt \ltspan class='paper-ques-marks'\gt(6 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt OR \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt6.a. \lt/b\gt What are the causes and effects of harmonics in a transformer? Explain. \lt/div\gt \ltspan class='paper-ques-marks'\gt(5 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt6.b. \lt/b\gt An 8 pole wave connected de generator has 480 armature conductors. The armature current is 200 A. Find the armature reaction demagnetizing and cross magnetizing ampere turns per pole if the brushes are shifted 6 electric from geometric neutral axis. Also calculate compressing turns per pole if the pole are to pole pitch ratio is 0.75. \lt/div\gt \ltspan class='paper-ques-marks'\gt(6 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt6.c. \lt/b\gt Derive an expressions for distribution factor $\mathrm{K}_{\mathrm{d}}$ and pitch factor $\mathrm{K}_{\mathrm{F}}$ \lt/div\gt \ltspan class='paper-ques-marks'\gt(6 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt **Module-4** \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt7.a. \lt/b\gt Explain slip tests on salient pole synchronous machine. \lt/div\gt \ltspan class='paper-ques-marks'\gt(5 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt7.b. \lt/b\gt Discuss the effect of change of excitation at constant load. \lt/div\gt \ltspan class='paper-ques-marks'\gt(5 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt7.c. \lt/b\gt Two identical 2000 kVA alternators operate in parallel. The governor of the prime mover of the first machine is such that the frequency drops uniformly from 50 Hz on no load to 48 Hz on full load . The corresponding uniform speed drop of the second machine is 50 Hz to 47.5 Hz. Find how will the two machines share a load of 3000 KW. \lt/div\gt \ltspan class='paper-ques-marks'\gt(6 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt OR \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt8.a. \lt/b\gt Derive an expression for synchronizing power. \lt/div\gt \ltspan class='paper-ques-marks'\gt(5 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt8.b. \lt/b\gt A 3 phase star connected synchronous generator sypplies current of 10 A having phase angie of $20^{\circ}$ lagging at 400 V. Find the load angle and components of armature current $l_{d}$ and $I_{4}$ . if $\mathrm{X}_{\mathrm{d}}=10 \Omega$ and $\mathrm{X}_{4}=6.5 \Omega .$ Assume armature resistance to be negligible. \lt/div\gt \ltspan class='paper-ques-marks'\gt(6 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt8.c. \lt/b\gt Derive an expression for the output power of cylindrical rotor altenator connected to infinite bus. Neglect armature resistance. \lt/div\gt \ltspan class='paper-ques-marks'\gt(5 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt **Module-5** \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt9.a. \lt/b\gt Differentiate between synchronous reactance, adjusted synchronous reactance and potier reactance. \lt/div\gt \ltspan class='paper-ques-marks'\gt(6 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt9.b. \lt/b\gt A $2300 \mathrm{V}, 50 \mathrm{Hz}, 3$ phase star conneçted alternator has an effective armature resistance of 0.2 ohm. A field current of 35 A produces a current of 150 $\mathrm{A}$ on short circuit and an open circuit emf 780 $\mathrm{V}$ (line valuc) Calculate the voltage regulation at 0.8 pf lagging. The full load current is 25 $\mathrm{A}$. \lt/div\gt \ltspan class='paper-ques-marks'\gt(6 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt9.c. \lt/b\gt Describe Hunting in alternator. \lt/div\gt \ltspan class='paper-ques-marks'\gt(4 marks)\lt/span\gt \ltspan class='paper-page-id'\gt00\lt/span\gt \lt/div\gt OR \ltDIV class='paper-question'\gt \ltDIV class='paper-ques-desc'\gt \ltb\gt10.a. \lt/b\gt A 3.5 MVA. star connected altenator rated at 4160 volts at 50 Hz has open circuit characteristics given by the following data: |$ I_{r} $Amp|50|100|150|200|250|300|350| |----|----|----|----|----|----|----|----| |$\mathrm{V}_{\mathrm{n}}$ Volts|1620|3150|4160|4750|5130|5370|5550| A field current of 200 $\mathrm{A}$ is found necessary to circulate full load current on short circuit. Calculate by Ampere turn method full load voltage regulation at 0.8 pf lagging.
(8 marks) 00

10.b. Define short circuit ratio. What is the relation between short circuit ratio and synchronous reactance?
(4 marks) 00

10.c. List the advantages and disadvantages of synchronous impedance method of computing the regultation.
(4 marks) 00

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