Performance of transmission lines 1

Question 9
A Three phase load of 2000 KVA , 0.8 power factor is supplied at 6.6 KV , 50 Hz by means of a 33 KV transmission line 20 km and 33/6.6 kilo volt step down transformer . the resistance and reactance of each conductor are 0.4 Ohm and 0.5 ohm per km respectively .  the resistance and reactance of transformer primary are 7.5 ohm and 13.2 ohm , while those of secondary are 0.35 ohm and 0.65 ohm respectively , find the voltage necessary at the sending end of transmission line 6.6 Kv is maintained at the receiving end . determine also the sending end power factor and transmission efficiency .

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 A Three phase line 3 km long delivers 3 MW   at 0.8 lagging to a load . The resistance and reactance per kilometer of each conductor are 0.4 Ohm and 0.3 Ohm respectively . if the voltage at the supply end is maintained at 11 KV , calculate  1 . receiving and voltage ( line to line ) , 2 .  line current , 3 . transmission efficiency ? 

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