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  1. please send equivalent circuit diagram of three transformer,autotransformer notes

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  2. Please send me the notes on equivalent circuit of three phase transformer and auto transformer notes.
    Thank you.

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Effect of Power factor on Efficiency

Effect of Power factor on Efficiency
       The efficiency of a transformer is given by,

Now,              input = output + losses = V2 I2 cos Φ + losses
Using in (1),     η = 1 - (losses / (V2 I2 cos Φ + losses))
Let    losses/V2 I2 = x and using in (2),
      Thus as the power factor of the load is more i.e. cos is higher, x/cosΦ is lesser. Hence the second term in the equation (3) becomes lesser and efficiency will be more.
Key Point : As power factor increases, the efficiency increases.
       Thus the family of efficiency curves are obtained as power factor increases, as shown in the Fig.1.
Fig. 1  Effect of p.f. on efficiency

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