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speed of rotation of the generator

 (i) A 420 V, 50 Hz, star connected, the four-pole synchronous generator has a synchronous reactance of 0.1 Ω and an armature resistance of 0.013 Ω. At full load, the machine supplies 950 A at 0.85 PF lagging. Find 

a) the speed of rotation of the generator. (1 Mark)

b) three-phase power the generator supplying at full load? (1 Mark)

c) If the machine is working at 60 percentage of full load at a power factor of 0.85 lagging, Find the % voltage regulation? (1 Mark)

d) If the machine is working at 70 percentage of full load at a power factor of 0.85 leading, Find the voltage generated? (1 Mark)

(ii) An armature of a three-phase alternator has 120 slots. The alternators have 6 poles. Calculate 

a) β angle in radians (1 Mark)

b) Distribution factor (2 Mark)

A three-phase star-connected alternator working at 1400 KVA,50 Hz,2100 V, has an armature dc resistance of 0.12 Ω. Assume the ac resistance is 1.5 times the dc resistance. A field current of 75 A produces a short circuit current of 360 A and for the same field current the open circuit voltage is 1200 V. Determine a} Synchronous reactance of the machine b) Full load regulation at 0.9 lagging c) Power angle

The rating of a three-phase star-connected alternator is 1500 KVA, 13.8 KV, The armature resistance is  1.5 Ω and synchronous reactance is 30 Ω per phase. Calculate the percentage regulation for a load of  a) 55% load at 0.7 power factor lagging. b) 85% load at 0.65 power factor leading

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