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ELECTRICAL ENGINEERING

 

Example 5.15. A 1 150012300 V transformer is rated at 100 KVA as a 2-winding trans­

former. If the two windings are connected in series to form an auto transformer. What will be the voltage ratio and output ?

Solution. We will consider only addition polarities of the two windings as the primary and the secondary will he either 11.5 KV winding or 2.3 KV winding.

The two possible connections are :

 

 

 

1 3.8 kV

1 1 .5 kV

 

 

1 3.8 kV

2.3 kV

 

 

 

2.3 kV

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(a)

 

 

 

 

 

(b)

 

 

 

 

 

 

 

Fig. ES.15

 

 

(a) The transformation ratio is

 

§5_ = 1.2 = n

 

using equation (5.39)

 

13.8115 =

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

 

 

 

 

P.

 

 

 

 

_p_ i _ l=6- ­n

 

 

 

where

=

100 KVA

and

pn =

-

 

 

 

 

 

 

 

 

5

 

-1:

 

 

Substituting

 

100 = 1 -

=

 

 

Therefore,I,

 

 

 

 

6

6

 

or

 

 

 

P = 600 KVA

600 KVA Ans.

 

the rating of auto

transformer is

13.8/11.5 KV,

 

p

 

 

 

 

(b)The transformation ratio is

13.8= 6

2.3

 

__i_

 

1

Again using equation (5.39)

= l -

­

p,p

n