Skip to main content
SpringerLink
Log in

Principle of designing slope compensation in PFC Boost converter

  • Published:
Science in China Series F: Information Sciences Aims and scope Submit manuscript

Abstract

Due to wide input fluctuation with line frequency of 50 Hz, power-factor-correction (PFC) Boost converters tend to exhibit fast-scale instability over time domain. The traditional remedy is to impose slope compensation so as to weaken or eliminate this instability. A theoretical principle on the implementation of slope compensation signal is still lacking. Empirical design will induce over compensation frequently, resulting in a large decrease of power factor. In order to tackle this issue, by constructing the discrete-time iterative map of the PFC Boost converter from the viewpoint of bifurcation control theory of nonlinear systems, consequently, the criterion of critical stability for the PFC circuit can be established. Based on this stability criterion, appropriate design of slope compensation can be achieved. Our work indicates that 3 main circuit parameters (i.e. switching cycle, output reference voltage and inductor) determine the effective amplitude design of the slope compensation signal. The results, validated by a large quantity of analytical and numerical studies, show that appropriate slope compensation can be effective in weakening (or controlling) fast-scale bifurcation while maintaining a rather high input power factor.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Tse C K. Circuit theory of power factor correction in switching converters. Int J Circuit Theory Appl, 2003, 31(2): 157–198

    Article  MATH  Google Scholar 

  2. García O, Cobos J A, Prieto R, et al. Single phase power factor correction: a survey. IEEE Trans Power Electr, 2003, 18(3): 749–755

    Article  Google Scholar 

  3. Redl R. Power factor correction in a single-stage switchingmode power supplies-an overview. Int J Electron, 1994, 77(5): 555–582

    Article  Google Scholar 

  4. Tse C K. Complex Behavior of Switching Power Converters, Boca Raton: CRC Press, 2003. 201–216

    Google Scholar 

  5. Dranga O, Tse C K, Iu H H C, et al. Bifurcation behavior of a power-factor-correction Boost converter. Int J Bifur Chaos, 2003, 13(10): 3107–3114

    Article  MATH  Google Scholar 

  6. Mazumder S K. Theoretical and experimental investigation of the fast and slow-scale instabilities of a DC-DC converter. IEEE Trans Power Electron, 2001, 16(2): 201–216

    Article  MathSciNet  Google Scholar 

  7. Zou J L, MA X K. Experimental study of fast-scale bifurcations in PFC Boost converters (in Chinese). Proc CSEE, 2008, 28(12): 38–43

    Google Scholar 

  8. Ma X K, Liu W Z, Zhang H. Analysis of fast-scale bifurcation and chaos phenomena in Boost PFC converter (in Chinese). Proc CSEE, 2005, 25(5): 61–67

    Google Scholar 

  9. Iu H H C, Zhou Y, Tse C K. Fast-scale instability in a PFC boost converter under average current mode control. Int J Circuit Theory Appl, 2003, 31(6): 611–624

    Article  MATH  Google Scholar 

  10. Wu X, Tse C K, Dranga O, et al. Fast-scale instability of single-stage power-factor-correction power supplies. IEEE Trans Circ Syst I, 2006, 53(1): 204–213

    Article  Google Scholar 

  11. Zou J L, Ma X, Tse C K, et al. Fast-scale bifurcation in powerfactor-correction buck-boost converters and effects of incompatible periodicities. Int J Circuit Theory Appl, 2006, 34(3): 251–264

    Article  MATH  Google Scholar 

  12. Wu X, Tse C K, Wong S C, et al. Fast-scale bifurcation in single-stage PFC power supplies operating with DCM boost stage and CCM forward stage. Int J Circuit Theory Appl, 2006, 34(3): 341–355

    Article  MATH  Google Scholar 

  13. Zhou Y, Jiang X, Chen J. Analysis of complex intermittency in Boost converter from a bifurcation control viewpoint. Sci China Ser F-Inf Sci, 2008, 51(12): 2135–2149

    Article  Google Scholar 

  14. Tse C K, Lai Y M. Controlling bifurcation in power electronics: a conventional practice re-visited. Latin Am Appl Res, 2001, 31(3): 177–184

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Electronic Science and Technology, Anhui University, Hefei, 230039, China

    YuFei Zhou, JiaCheng Huang, ShiBing Wang, Wei Jiang & JunNing Chen

Authors
  1. YuFei Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. JiaCheng Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. ShiBing Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Wei Jiang
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. JunNing Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to YuFei Zhou.

Additional information

Supported by the National Natural Science Foundation of China (Grant Nos. 60402001, 60672023), and the Science and Technological Fund of Anhui Province for Outstanding Youth (Grant No. 08040106807)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhou, Y., Huang, J., Wang, S. et al. Principle of designing slope compensation in PFC Boost converter. Sci. China Ser. F-Inf. Sci. 52, 2226–2233 (2009). https://doi.org/10.1007/s11432-009-0178-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11432-009-0178-6

Keywords

Search

Navigation