Simplified 2-D Analytical Model for Winding Loss Analysis of Flyback Transformers

The winding loss analysis of a flyback transformer is difficult and ambiguous because the primary side current and the secondary side current differs both in shape and phase, especially for DCM (Discontinuous Conduction Mode) operation. Meanwhile, the fringing field caused by the air gaps further makes the traditional 1-D loss analysis model not directly applicable. The paper gives a thorough investigation into the phase shift of winding currents, which indicates that the phase shift of the high order harmonics is still close to 180o out-of-phase. Based on the analysis, a simplified 2-D winding loss analytical model for flyback transformers considering the effects of low order harmonics is proposed. By neglecting the y components of the fringing field, the proposed model has an acceptable accuracy and a simple form that is similar to the conventional 1-D model. The power loss calculated with the proposed analysis model is verified by FEA (Finite Element Analysis) simulations and experimental results.

[1]  Horst Grotstollen,et al.  Magnetic shielding applied to high-frequency inductors , 1997, IAS '97. Conference Record of the 1997 IEEE Industry Applications Conference Thirty-Second IAS Annual Meeting.

[2]  A.M. Pernia,et al.  A quick way to determine the optimum layer size and their disposition in magnetic structures , 1997, PESC97. Record 28th Annual IEEE Power Electronics Specialists Conference. Formerly Power Conditioning Specialists Conference 1970-71. Power Processing and Electronic Specialists Conference 1972.

[3]  Charles R. Sullivan,et al.  Optimization of a flyback transformer winding considering two-dimensional field effects, cost and loss , 2001, APEC 2001. Sixteenth Annual IEEE Applied Power Electronics Conference and Exposition (Cat. No.01CH37181).

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

[5]  Marian K. Kazimierczuk,et al.  Winding losses caused by harmonics in high-frequency flyback transformers for pulse-width modulated dc-dc converters in discontinuous conduction mode , 2010 .

[6]  Wei Chen,et al.  Winding loss mechanism analysis and design for new structure high-frequency gapped inductor , 2005, IEEE Transactions on Magnetics.

[7]  Xingkui Mao,et al.  Winding loss mechanism analysis and the design for a new structure high-frequency gapped inductor , 2005 .

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

[9]  Tae-Woong Kim,et al.  Driving Performance Experimental Analysis of Series Chopper Based EV Power Train , 2012 .

[10]  Marian K. Kazimierczuk,et al.  Transformer winding loss caused by skin and proximity effects including harmonics in pulse-width modulated DC¿DC flyback converters for the continuous conduction mode , 2011 .

[11]  Charles R. Sullivan,et al.  AC resistance of planar power inductors and the quasidistributed gap technique , 2001 .

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

[13]  Charles R. Sullivan,et al.  Computationally efficient winding loss calculation with multiple windings, arbitrary waveforms, and two-dimensional or three-dimensional field geometry , 2001 .

[14]  J. H. Spreen,et al.  Electrical terminal representation of conductor loss in transformers , 1990 .

[15]  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.

[16]  Wei Chen,et al.  Novel Winding Loss Analytical Model of Flyback Transformer , 2006 .

[17]  Oscar Garcia,et al.  High frequency resistance in flyback type transformers , 2000, APEC 2000. Fifteenth Annual IEEE Applied Power Electronics Conference and Exposition (Cat. No.00CH37058).

[18]  Norbert Frohleke,et al.  Automated optimization of high frequency inductors , 1998, IECON '98. Proceedings of the 24th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.98CH36200).

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

[20]  D. Lavers,et al.  Waveform dependent switching losses in flyback transformer foil windings , 2002, 2002 IEEE 33rd Annual IEEE Power Electronics Specialists Conference. Proceedings (Cat. No.02CH37289).

[21]  H. Grotstollen,et al.  Improved analytical modeling of conductive losses in gapped high-frequency inductors , 1998, Conference Record of 1998 IEEE Industry Applications Conference. Thirty-Third IAS Annual Meeting (Cat. No.98CH36242).

[22]  W. Roshen,et al.  Fringing Field Formulas and Winding Loss Due to an Air Gap , 2007, IEEE Transactions on Magnetics.

[23]  Frédéric Robert A theoretical discussion about the layer copper factor used in winding losses calculation , 2002 .

[24]  Wei Chen,et al.  Winding loss analysis and new air-gap arrangement for high-frequency inductors , 2001, 2001 IEEE 32nd Annual Power Electronics Specialists Conference (IEEE Cat. No.01CH37230).

[25]  Marian K. Kazimierczuk,et al.  Harmonic winding losses in the transformer of a forward pulse width modulated DC-DC converter for continuous conduction mode , 2012 .

[26]  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..

[27]  R. Severns,et al.  Additional losses in high frequency magnetics due to non ideal field distributions , 1992, [Proceedings] APEC '92 Seventh Annual Applied Power Electronics Conference and Exposition.

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

[29]  T. Komma,et al.  The effect of different air-gap positions on the winding losses of modern planar ferrite cores in switch mode power supplies , 2008, 2008 International Symposium on Power Electronics, Electrical Drives, Automation and Motion.

[30]  Thomas Zacharias,et al.  Transient simulation of integrated AC/DC systems. I. Converter modeling and simulation , 1988 .