Analysis of Fourth-Order DC–DC Converters: A Flow Graph Approach

The signal flow graph (SFG) nonlinear modeling approach is well known for modeling DC-DC converters and it is a powerful analysis tool for higher order converter systems. Modeling of several specific fourth-order DC-DC converter circuits have been reported using conventional state-space averaging. Particular emphasis has been given, so far, only to arrive at any of the large, small-signal (SS) and steady-state models but not a generalized one. This paper gives the generalized SFG model of the fourth-order DC-DC converter topology that is useful for generating different types of fourth-order DC-DC converter circuits unified models. Further, it is shown that the deduction of large, SS and steady-state models from these unified SFGs is easy and straightforward. All possible fourth-order DC-DC converter circuits from its generalized topology have been identified and an analysis of a few converter circuits is given here for illustration of the proposed modeling method. Large-signal (LS) models are developed for different topology configurations and are programmed in SIMULINK simulator. LS responses against supply and load disturbances are obtained. Experimental observations are provided to validate the proposed modeling method.

[1]  Teuvo Suntio.  Unified average and small-signal modeling of direct-on-time control , 2006, IEEE Transactions on Industrial Electronics.

[2]  Akira Chiba.  5 – Power electronic circuits for magnetic bearings , 2005 .

[3]  L. Petersen.  Input-current-shaper based on a modified SEPIC converter with low voltage stress , 2001, 2001 IEEE 32nd Annual Power Electronics Specialists Conference (IEEE Cat. No.01CH37230).

[4]  Ali Emadi,et al.  Modeling of power electronic loads in AC distribution systems using the generalized State-space averaging method , 2004, IEEE Transactions on Industrial Electronics.

[5]  R. Tymerski,et al.  Generation and classification of PWM DC-to-DC converters , 1988 .

[6]  Wing-Hung Ki,et al.  Signal flow graph in loop gain analysis of DC-DC PWM CCM switching converters , 1998 .

[7]  Cornelius T. Leondes,et al.  Modern control systems theory , 1965 .

[8]  Bong-Hwan Kwon,et al.  DC–DC Converter Using a Multiple-Coupled Inductor for Low Output Voltages , 2007, IEEE Transactions on Industrial Electronics.

[9]  V. Grigore,et al.  A step-down converter with low ripple input current for power factor correction , 2000, APEC 2000. Fifteenth Annual IEEE Applied Power Electronics Conference and Exposition (Cat. No.00CH37058).

[10]  Dariusz Czarkowski,et al.  Circuit models of PWM DC-DC converters , 1992, Proceedings of the IEEE 1992 National Aerospace and Electronics Conference@m_NAECON 1992.

[11]  J. Mahdavi,et al.  SEPIC and BIFRED converters for switch-mode power supplies: A comparative study , 2002, 24th Annual International Telecommunications Energy Conference.

[12]  Tomonobu Senjyu,et al.  Signal flow graph modelling and analysis of interleaved DC?DC parallel converters , 2001 .

[13]  Dariusz Czarkowski,et al.  Static- and dynamic-circuit models of PWM buck-derived DC-DC convertors , 1992 .

[14]  Sundaram Seshu,et al.  Linear network analysis , 1959 .

[15]  M. Veerachary.  Modeling of Power Electronic Systems Using Signal Flow Graphs , 2006, IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics.

[16]  P. T. Krein,et al.  A 'zero' ripple technique applicable to any DC converter , 1999, 30th Annual IEEE Power Electronics Specialists Conference. Record. (Cat. No.99CH36321).

[17]  F. Luo,et al.  Mathematical modeling of power DC/DC converters , 2004, 2004 International Conference on Power System Technology, 2004. PowerCon 2004..

[18]  S. V. Mollov,et al.  Modelling and control of DC-DC converters , 1998 .

[19]  S. Cuk,et al.  Switching flow-graph nonlinear modelling technique , 1992, PESC '92 Record. 23rd Annual IEEE Power Electronics Specialists Conference.

[20]  Marian K. Kazimierczuk,et al.  Voltage-Loop Power-Stage Transfer Functions With MOSFET Delay for Boost PWM Converter Operating in CCM , 2007, IEEE Transactions on Industrial Electronics.

[21]  Slobodan Cuk,et al.  A general unified approach to modelling switching-converter power stages , 1976, 1970 IEEE Power Electronics Specialists Conference.

[22]  Ali Emadi,et al.  Modeling and analysis of multiconverter DC power electronic systems using the generalized state-space averaging method , 2004, IEEE Transactions on Industrial Electronics.