Four times
Eddy current losses in a transformer are proportional to the square of the supply frequency and the square of the magnetic flux density. The formula for eddy current loss is given by:
\(P_e = K f^2 B^2 t^2\)
where:
- \(P_e\) is the eddy current loss
- \(K\) is a constant that depends on the material properties and geometry of the core
- \(f\) is the supply frequency
- \(B\) is the magnetic flux density
- \(t\) is the thickness of the lamination
If the supply frequency (\(f\)) is doubled, while other factors remain constant, the eddy current loss will change as follows:
Original loss: \(P_{e1} = K (f)^2 B^2 t^2\)
New loss with doubled frequency: \(P_{e2} = K (2f)^2 B^2 t^2 = 4 K (f)^2 B^2 t^2 = 4 P_{e1}\)
Therefore, the eddy current loss will become four times its original value.
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