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Auto transformer is one type of On-Load Tapchanging Transformer. Auto transformer is extremely opposite to general transformer because auto transformer's primary and secondary windings are electrically connected. Auto transformer is particularly economical where the voltage ratio is less than 2 in which case electrical isolation of the two windings is not essential. Auto transformer's theory and principles are very much likely to two winding transformer. If N1 is the turns of primary windings and N2 is the turns of secondary winding, the transformation ratio k can be represented in the same way as a two-winding transformer. The current in the secondary winding is the vector difference of I2 and I1 The current in the common winding is arithmetical difference of I2 and I1 ie) ( I2 - I1 )
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