A single phase 50 Hz core-type transformer has rectangular cores 30 × 20 cm and the maximum allowable density is 1.05 Wb/sq. m. Find the number of turns per limb on the high- and low-voltage sides for a voltage ratio of 3300/200 V. Take iron factor as 0.93.

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Accepted Answer

Gross cross-sectional area = 30 × 20 = 600 cm²

[latex] A_{gc} = 600 imes 10^{-4} m^{2}[/latex]

The iron factor is to be taken into consideration as the laminations are insulated from each other and

[latex] K_{i} = \frac{ ext{Net Area of Cross-Section}}{ ext{Gross Area of Cross-Section }} = \frac{A_{i}}{A_{gc}}\ A_{i} = K_{i} imes A_{gc}\ \quad = 0.93 imes 600 imes 10^{-4} = 558 imes 10^{-4} m^{2}[/latex]

EMF induced/turn [latex] = 4.44 imes f imes B_{max} imes A_{i}\ \quad\quad\quad\quad\quad\quad\quad\quad = 4.44 imes 50 imes 1.05 imes 558 imes 10^{-4} = 13 V[/latex]

Primary turns [latex] = \frac{3300}{13} ; 254 ext{turns}[/latex]

Secondary turns [latex] = \frac{200}{03} ; 16 ext{turns}[/latex]

Question 10.5: A single phase 50 Hz core-type transformer has rectangular c...

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