Reduced order discrete time modeling of ZVS transition dynamics in the dual active bridge converter

A concise, analytical method for incorporating the effects of zero voltage switching (ZVS) interval dynamics in small-signal discrete-time models of the dual-active bridge (DAB) converter is detailed. The method allows the influence of the resonant transition between tank inductor and switching device output capacitance to be examined. Importantly, the method does not require the inclusion of an additional state to account for these dynamics, which greatly simplifies the resulting models of converter behavior. The calculations are applicable to any alternate topology where ZVS transition behaviors contribute significantly to converter dynamics, as in many high frequency converters. The method is verified through experimental results on a 1 MHz DAB converter.

[1]  Javier Sebastian,et al.  An overall study of a Dual Active Bridge for bidirectional DC/DC conversion , 2010, 2010 IEEE Energy Conversion Congress and Exposition.

[2]  Robert W. Erickson,et al.  Fundamentals of Power Electronics , 2001 .

[3]  Dragan Maksimovic,et al.  GaN-FET based dual active bridge DC-DC converter , 2011, 2011 Twenty-Sixth Annual IEEE Applied Power Electronics Conference and Exposition (APEC).

[4]  D. Maksimovic,et al.  Inherent volt-second balancing of magnetic devices in zero-voltage switched power converters , 2013, 2013 Twenty-Eighth Annual IEEE Applied Power Electronics Conference and Exposition (APEC).

[5]  J.W. Kolar,et al.  Accurate Small-Signal Model for the Digital Control of an Automotive Bidirectional Dual Active Bridge , 2009, IEEE Transactions on Power Electronics.

[6]  D.M. Divan,et al.  A three-phase soft-switched high power density DC/DC converter for high power applications , 1988, Conference Record of the 1988 IEEE Industry Applications Society Annual Meeting.

[7]  Johann W. Kolar,et al.  Full-order averaging modelling of zero-voltage-switching phase-shift bidirectional DC-DC converters , 2010 .

[8]  D.M. Divan,et al.  Performance characterization of a high power dual active bridge DC/DC converter , 1990, Conference Record of the 1990 IEEE Industry Applications Society Annual Meeting.

[9]  A. Stanković,et al.  Multifrequency averaging of DC/DC converters , 1999 .

[10]  D. Bernstein,et al.  Some explicit formulas for the matrix exponential , 1993, IEEE Trans. Autom. Control..

[11]  C. Loan,et al.  Nineteen Dubious Ways to Compute the Exponential of a Matrix , 1978 .

[12]  D. Maksimovic,et al.  Small-Signal Discrete-Time Modeling of Digitally Controlled PWM Converters , 2007, IEEE Transactions on Power Electronics.

[13]  Dehong Xu,et al.  A new family of soft-switching phase-shift bidirectional DC-DC converters , 2001, 2001 IEEE 32nd Annual Power Electronics Specialists Conference (IEEE Cat. No.01CH37230).

[14]  Hengsi Qin,et al.  Generalized Average Modeling of Dual Active Bridge DC–DC Converter , 2012, IEEE Transactions on Power Electronics.

[15]  H. Akagi,et al.  A Bidirectional Isolated DC–DC Converter as a Core Circuit of the Next-Generation Medium-Voltage Power Conversion System , 2007, IEEE Transactions on Power Electronics.

[16]  D. Maksimovic,et al.  Discrete-time small-signal modeling of a 1 MHz efficiency-optimized dual active bridge converter with varying load , 2012, 2012 IEEE 13th Workshop on Control and Modeling for Power Electronics (COMPEL).

[17]  B. S. Heck,et al.  Bilinear discrete-time modeling for enhanced stability prediction and digital control design , 2003 .

[18]  D. Packard Discrete modeling and analysis of switching regulators , 1976 .