Q6. With reference to Diesel engine driven alternator:
a) Explain the significance of the term “speed droop” during the parallel operation of alternators. Assuming two alternators are running in parallel, outline the frequency vs load characteristics of the alternators while load sharing. (8)
b) Two 3Ø alternators operate in parallel, the rating of A is 1000 kW and B is 800 kW. The droop setting of each generator is 4%, If the load to be shared by both the generators is 1000 kw, calculate the load sharing by generators A and B, if the original frequency at no-load is 62Hz. (8)
Q6. (a) Explain how excitation of the rotor is produced and supplied. (6)
(b) A 25 kVA, single phase transformer has 250 turns on the primary and 40 turns on the secondary winding. The primary is connected to 1500 V, 50 Hz mains calculate: (10)
(i) Secondary emf
(ii) Primary and secondary current on full load
(iii) Maximum flux in the core.
Q9. A. Explain the potential hazards if liquid-cooled transformers are used.
B. What are the losses in transformers? Mention the various factors which affect these losses. In a 25 KVA, 3300/233 V, single phase transformer, the iron and full-load Cu. Losses are respectively 350 and 400 watts. Calculate the efficiency at half-full load, 0.8 power factor
Q6. A. Describe the normal criteria used for setting thermal protection relays and its advantage compared to magnetic types.
B. The low-voltage release of an a.c. motor-starter consists of a solenoid into which an iron plunger is drawn against a spring. The resistance of the solenoid is 35 ohm. When connected to a 220 V, 50 Hz, a.c. supply the current taken is at first 2A, and when the plunger is drawn into the “full-in” position the current falls to 0.7 A. Calculate the inductance of the solenoid for both positions of the plunger, and the maximum value of flux-linkages in weber-turns for the “full-in” position of the plunger.
Q3. What would be value of Neutral Earthing Resister in a high voltage ship of three phase alternators to limit the earth fault current to the full load of rating of a 4 MW having 0.8 power factor generating 6600 volts?
Q7. A. What is leakage flux as it applies to the iron-core transformer? How is it taken into account in the analysis of the transformer? (6)
B. The following results were obtained on a 50 KVA transformer: open circuit test-primary voltage, 3300 V; secondary voltage, 415 V; primary power, 430 W. Short circuit test-primary voltage, 124 V; primary current, 15.3 A; primary power, 525 W; secondary current, full load value. Calculate:
(i) The efficiencies at full load and at half load for 0.7 power factor
(ii) The Voltage regulations for power factor 0.7 (i) Lagging, (ii) Leading
(iii) The secondary terminal voltages corresponding to (i) and (ii). (10)
Q10. a) (i) What is direct-connected alternator? (3)
(ii) How is a direct-connected exciter arranged in an alternator? (3)
b) Find the synchronous impedance and reactance of an alternator in which a given field current produces an armature current of 200 A on short circuit and a generated e.m.f. of 50V on open- circuit. The armature resistance is 0.1 ohm. To what induced voltage must the alternator be excited if it is to deliver a load of 100A at a p.f. of 0.8 lagging, with a terminal voltage of 200V. (10)
Q8. A. Define longitudinal centre of gravity (LCG) and longitudinal centre of buoyancy (LCB).
B. A ship 120m long floats has draughts of 5.50m forward and 5.80m aft; MCT1 cm 80 tonne m, TPC 13, LCF 2.5m forward of midships. Calculate the new draughts when a mass of 110 tonne is added 24m aft of midships.
Q10. With reference to fixed pitch propellers: a. Explain Propeller Slip and Propeller Thrust. (6) b. The shaft power of a ship is 3000 KW, the ship’s speed V is 13.2 knot. Propeller rps is 1.27. Propeller pitch is 5.5m and the speed of advance is 11 Knots. Find: i. Real Slip ii. Wake fraction iii. Propeller thrust, when its efficiency, η = 70% (10)
Q10. A. Explain the use of KN curves. B. A ship of 6000 tonnes displacement has drafts 7m. f and 8m. A. MCT 1cm. 100 tonnes-m. TPC 20 tonnes, centre of flotation is amidships. 500 tonne of cargo is discharged from each of the following four holds.
No.1 hold, center of gravity 40m forward of amidships
No.2 hold, center of gravity 25m forward of amidships
No.3 hold, center of gravity 20m forward of amidships
No.4 hold, center of gravity 50m forward of amidships
The following bunkers are also loaded: 150 tonnes at 12m forward of amidships 50 tonnes at 15m aft of amidships Find the new drafts forward and aft.
Q4. (a) List the components of residuary resistance. (b) A ship model 6m long has a total resistance of 40N when towed at 3.6 knots in fresh water. the ship itself is 180m long and displaces 20400 tonne. the wetted surface area may be calculated from the formula S= 2.57, Calculate ePn for the ship at its corresponding speed in sea water. f (model)fw =0.492; f (ship)sw =0.421; n=1.825.
Q6. (a) Describe the movement of a ship with negative metacentric height. (b) A ship of 8000 tonne displacement has its centre of gravity 4.5m above the keel and transverse metacenter 5m above the keel when a rectangular tank 7.5m long and 15m wide contains seawater. A mass of 10 tonne is moved 12m across the deck. Calculate the angle of heel:(10) (i) If there is no free surface of water. (ii) if the water does not completely fill the tank.
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