A theoretical discussion about the layer copper factor used in winding losses calculation

In one-dimensional analytical theories aimed at calculating winding losses in magnetic devices, one usually introduces a "layer copper factor" to take layer porosity into account. The existence of this factor has been accepted since 1966 although it leads to nonphysical equations. This paper is a short theoretical discussion explaining: 1) how the layer copper factor comes from neither a one-dimensional nor two-dimensional model; 2) the true meaning of this factor; and 3) how an erroneous justification has propagated since 1966 in scientific literature.

[1]  P. L. Dowell,et al.  Effects of eddy currents in transformer windings , 1966 .

[2]  V. A. Niemela,et al.  Calculating the short-circuit impedances of a multiwinding transformer from its geometry , 1989, 20th Annual IEEE Power Electronics Specialists Conference.

[3]  J.-P. Schauwers,et al.  Eddy current losses in SMPS transformers: a full-frequency-range review of 2D effects inside the windings , 2001 .

[4]  Jan Abraham Ferreira,et al.  Improved analytical modeling of conductive losses in magnetic components , 1994 .

[5]  E. Snelling Soft ferrites: properties and applications , 1969 .

[6]  V. A. Niemela,et al.  Characterizing high-frequency effects in transformer windings-a guide to several significant articles , 1989, Proceedings, Fourth Annual IEEE Applied Power Electronics Conference and Exposition.

[7]  J.-P. Schauwers,et al.  A closed-form formula for 2D ohmic losses calculation in SMPS transformer foils , 1999, APEC '99. Fourteenth Annual Applied Power Electronics Conference and Exposition. 1999 Conference Proceedings (Cat. No.99CH36285).

[8]  Phoivos D. Ziogas,et al.  A novel approach for minimizing high-frequency transformer copper losses , 1988 .

[9]  J. Uceda,et al.  Errors obtained when 1D magnetic component models are not properly applied , 1999, APEC '99. Fourteenth Annual Applied Power Electronics Conference and Exposition. 1999 Conference Proceedings (Cat. No.99CH36285).