Simple analytical approach for the calculation of winding resistance in gapped magnetic components

The Dowell expression is the most commonly used method for the analytic calculation of the equivalent resistance in windings of magnetic components. Although this method represents a fast and useful tool to calculate the equivalent resistance of windings, it cannot be applied to components that do not fit with classical 1D assumption, which is the case of gapped magnetic components. These structures can be accurately analyzed using finite-element analysis (FEA) with the time cost that this represents. Modifying the Dowelĺs equation, and taking advantage of the orthogonality between skin and proximity effects, a simple solution that allows its application in gapped magnetic components is proposed in this work, which results shows a very good accuracy compared with experimental measurements.

[1]  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).

[2]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[3]  M. Perry,et al.  Multiple Layer Series Connected Winding Design for Minimum Losses , 1979, IEEE Transactions on Power Apparatus and Systems.

[4]  J. Uceda,et al.  Modeling High-Frequency Multiwinding Magnetic Components Using Finite-Element Analysis , 2007, IEEE Transactions on Magnetics.

[5]  C.R. Sullivan,et al.  Simplified high-accuracy calculation of eddy-current loss in round-wire windings , 2004, 2004 IEEE 35th Annual Power Electronics Specialists Conference (IEEE Cat. No.04CH37551).

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

[7]  Jiankun Hu,et al.  Optimization of shapes for round-wire high-frequency gapped-inductor windings , 1998, Conference Record of 1998 IEEE Industry Applications Conference. Thirty-Third IAS Annual Meeting (Cat. No.98CH36242).

[8]  Wei Chen,et al.  Improved winding loss theoratical calculation of magnetic component with air-gap , 2012, Proceedings of The 7th International Power Electronics and Motion Control Conference.

[9]  J.A. Cobos,et al.  Bridging the gap between FEA field solution and the magnetic component model , 2005, Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005..

[10]  Oscar Garcia,et al.  A full procedure to model high frequency transformer windings , 1994, Proceedings of 1994 Power Electronics Specialist Conference - PESC'94.

[11]  M.P. Perry.  Multiple Layer Parallel Connected Air-Core Inductor Design , 1979, IEEE Transactions on Power Apparatus and Systems.

[12]  J.-P. Schauwers,et al.  A closed-form formula for 2-D ohmic losses calculation in SMPS transformer foils , 2001 .

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

[14]  Charles R. Sullivan,et al.  An improved calculation of proximity-effect loss in high-frequency windings of round conductors , 2003, IEEE 34th Annual Conference on Power Electronics Specialist, 2003. PESC '03..

[15]  Edward Wong,et al.  JA ! , 2000 .