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The total eddy current loss in conductors can be expressed by a formula that is fundamentally derived from the principles of electromagnetic induction and material properties. The formula for the total eddy current loss ((P_{ec})) in a conductor is given by:
[ P_{ec} = K_e cdot B_m^2 cdot f^2 cdot t^2 cdot V ]
where:
– (P_{ec}) = Total eddy current loss in watts (W)
– (K_e) = Eddy current constant, depending on the material properties and the shape of the conductor
– (B_m) = Maximum flux density in teslas (T)
– (f) = Frequency of the magnetic flux in hertz (Hz)
– (t) = Thickness of the conductor in meters (m)
– (V) = Volume of the conductor in cubic meters ((m^3))
This formula indicates that eddy current loss in a magnetic material is proportional to the square of the magnetic flux density ((B_m)), the square of the frequency ((f)), and the square of the thickness of the material ((t)), as well as directly proportional to the volume of the conductor ((V)). Additionally, the material’s properties and geometry are embodied in (K_e), which can vary based on specific conditions and assumptions, including whether the material is laminated to reduce these losses.
This formula is crucial in