Journal of Power Electronics

The Korean Institute of Power Electronics (전력전자학회)
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Input Impedances of PWM DC-DC Converters: Unified Analysis and Application Example

  • Received : 2016.05.12
  • Accepted : 2016.08.12
  • Published : 2016.11.20
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Abstract

The input impedances of pulse width modulated (PWM) dc-to-dc converters, which dictate the outcomes of the dynamic interaction between dc-to-dc converters and their source subsystem, are analyzed in a general and unified manner. The input impedances of three basic PWM dc-to-dc converters are derived with both voltage mode control and current mode control. This paper presents the analytical expressions of the 24 input impedances of three basic PWM dc-to-dc converters with the two different control schemes in a factorized time-constant form. It also provides a comprehensive reference for future dynamic interaction analyses requiring knowledge of the converters' input impedances. The theoretical predictions of the paper are all supported by measurements on prototype dc-to-dc converters. The use of the presented results is demonstrated via a practical application example, which analyzes the small-signal dynamics of an input-filter coupled current-mode controlled buck converter. This elucidates the theoretical background for the previously-reported eccentric behavior of the converter.

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References

  1. Riccobono and E. Santi, "Comprehensive review of stability criteria for dc power distribution systems," IEEE Trans. Ind. Appl., Vol. 50, No. 5, p. 3525-3535, Sep. 2014. https://doi.org/10.1109/TIA.2014.2309800
  2. S. Vesti, T. Suntio, J. Oliver, R. Prieto, and J. Cobos, "Effect of control method on impedance-based interactions in a buck converter," IEEE Trans. Power Electron., Vol. 28, No. 11, pp. 5311-5322, Nov. 2013. https://doi.org/10.1109/TPEL.2013.2247422
  3. R. D. Middlebrook, "Input filter considerations in design and application of switching regulators." IEEE-IAS Annu. Meeting, pp. 366-382, 1976.
  4. S. Erich and W. Polivka, "Input filter design criteria for current-programmed regulators," IEEE Trans. Power Electron., vol. 7, No. 1, pp. 143-151, Jan. 1992. https://doi.org/10.1109/63.124587
  5. Y. Jang and R. Erickson, "Physical origins of input filter oscillations in current programmed converters," IEEE Trans. Power Electron., Vol. 7, No. 4, pp. 725-733, Oct. 1992. https://doi.org/10.1109/63.163651
  6. B. Choi, D. Kim, D. Lee, S. Choi, and J. Sun, "Analysis of input filter interactions in switching power converters," IEEE Trans. Power Electron., Vol. 22, No. 2, pp. 452-460, Mar. 2007. https://doi.org/10.1109/TPEL.2006.889925
  7. D. Kim, B. Choi, D. Lee, and J. Sun, "Dynamics of current mode-controlled dc-to-dc converters with input filter stage," in Proc. PESC '05, pp. 2648-2656, Jun. 2005.
  8. M. Kazimierczuk and I. Cravens, R., "Input impedance of closed-loop PWM buck-boost dc-dc converter for CCM," in Proc. IEEE ISCAS '95., Vol. 3, pp. 2047-2050, 1995,
  9. S. Kriventsov and J. Mayer, "An exact expression for the input impedance of the buck converter in continuous conduction mode," in Proc. IEEE 32nd PESC. 2001 Annu., vol. 1, pp. 351-356, 2001.
  10. D. Kim, D. Son, and B. Choi, "Input impedance analysis of PWM dc-to-dc converters," in Proc. IEEE 21st Annu. APEC '06, pp. 1339-1346, Mar. 2006.
  11. S. K. Pidaparthy and B. Choi, "Designing control loop for PWM converters in dc-to-dc power conversion systems," in Proc. IEEE 40th Annu. IECON 2014, pp. 5094-5100, Oct. 2014.
  12. S. K. Pidaparthy and B. Choi,"Control design and loop gain analysis of dc-to-dc converters intended for general load subsystems," Mathematical Problems in Engineering, Vol. 2015, 2015.
  13. R. Middlebrook, V. Vorperian, and J. Lindal, "The n extra element theorem," IEEE Trans. Circuits Syst. I Fundam. Theory Appl., Vol. 45, No. 9, pp. 919-935, Sep. 1998. https://doi.org/10.1109/81.721258
  14. V. Vorp'erian, Fast Analytical Techniques for Electrical and Electronic Circuits. Cambridge University Press, 2002.
  15. B. Choi, Pulsewidth Modulated DC-to-DC Power Conversion: Circuits, Dynamics, and Control Designs. John Wiley & Sons, 2013.
  16. R. W. Erickson and D. Maksimovic, Fundamentals of Power Electronics, Springer Science & Business Media, 2001.
  17. R. Middlebrook, "Modeling current-programmed buck and boost regulators," IEEE Trans. Power Electron., Vol. 4, No. 1, pp. 36-52, Jan. 1989. https://doi.org/10.1109/63.21871
  18. B. Choi, J. Kim, B. Cho, S. Choi, and C. Wildrick, "Designing control loop for dc-to-dc converters loaded with unknown ac dynamics," IEEE Trans. Ind. Electron., Vol. 49, No. 4, pp. 925-932, Aug. 2002. https://doi.org/10.1109/TIE.2002.801249
  19. F. Tan and R. Middlebrook, "A unified model for current programmed converters," IEEE Trans. Power Electron., Vol. 10, No. 4, pp. 397-408, Jul. 1995. https://doi.org/10.1109/63.391937
  20. V. Vorperian, "Simplified analysis of PWM converters using model of PWM switch continuous conduction mode," IEEE Trans. Aerosp. Electron. Syst., Vol. 26, No. 3, pp. 490-496, May 1990. https://doi.org/10.1109/7.106126

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