Study on Chaos Control in PFC Boost Converter Based on the Delay Feedback Control_Vol. 3 No. 1 (JIKE 2025)_Journal of Intelligence and Knowledge Engineering (ISSN: 2959-0620)

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Study on Chaos Control in PFC Boost Converter Based on the Delay Feedback Control

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DOI: https://doi.org/10.62517/jike.202504102

Author(s)

Naihong Hu

Affiliation(s)

Anhui Water Conservancy Technical College, Hefei, Anhui, China

Abstract

In Power-Factor-Correction (PFC) Boost Converter, due to the wide fluctuations of the voltage as the power frequency is 50 HZ, the fast-scale instability and chaotic phenomena are apt to appear in circuits. The method commonly used to weaken the unstable phenomena is to introduce the slope compensation. However, since the design of slope signals lacks of theoretical basis, the overcompensation surfaces from time to time, which leads to the substantial drop of input power factors. According to this situation, we introduce the delay feeback control to stabilize the unstable periodic tracks of chaotic attractors. Researches demonstrate that the design of the delay feedback compensation rage is determined by the four main circuit parameters ( the switching cycle, input voltage, output voltage, and inductor) of the converter. Abundant conclusions of simulation experiments testify that the proper delay feedback compensation range not only controls the fast-scale bifurcation and chaotic phenomena, but also maintains the higher input power factor.

Keywords

PFC Boost Converters; Peak Current Mode Control; Fast-Scale Instability; Chaos; Delayed Feedback Control

References

[1] C K. Tse . Flip bifurcation and chaos in a three-state boost switching regulater. IEEE Trans. Circ.Syst.-1, Vol. 41, No. 1, 1994, 16-23. [2] E. Fossas, G. Olivar. Study of chaos in the Buck converter. IEEE Trans. Circuits System-I, Vol. 43, No. 1, 1996, 13-25. [3] B. Zhang, Y. Qu. The precise discrete mapping of voltage-fed DCM Boost converter and its bifurcation and chaos. Transactions of China Electrotechnical Society, Vol. 17, No. 3, 2002, 43-47. [4] A. E. Aroudi, M. Debbat, et al. Bifurcations in DC/DC switching converters: review of methods and applications. Int. J. Bifurcation and Chaos, Vol. 15, No. 5, 2005, 1549-1578. [5] C. K. Tse, Y. M. Lai, H. H. C. Iu. Hopf bifurcation and chaos in a free-running current- controlled Cuk switching regulator. IEEE Trans. Circuit System-I, Vol. 47, No. 4, 2000, 448-457. [6] S.H. Zhu, W. M.Wu, Z. M. Qian. A novel high-performance PFC rectifier circuit. Adv. Tech. of Elec. Eng. & Energy, Vol. 22, No. 2, 2003, 68-71. [7] C. K. Tse. Circuit theory of power factor correction in switching converters. Int J Circuit Theory Appl, Vol. 31, No. 2, 2003, 157-198. [8] O. García, J. A. Cobos, R. Prieto, et al. Single phase power factor correction: a survey. IEEE Trans Power Electronics, Vol. 18, No. 3, 2003, 749-755. [9] R. Redl. Power factor correction in a single-stage switching-mode power supplies—an overview. Int J Electron, Vol. 77, No. 5, 1994, 555-582. [10] C. K. Tse. Complex Behavior of Switching Power Converters(CRC Press, Boca Raton 2003). [11] O. Dranga, C. K. Tse, and H. H. C.Iu, I. Nagy. Bifurcation behavior of a power-factor-correction Boost converter. Int J Bifur Chaos, Vol. 13, No. 10, 2003, 3107-3114. [12] S. K. Mazumder. Theoretical and experimental investigation of the fast and slow-scale instabilities of a DC-DC converter. IEEE Trans Power Electronics, Vol. 16, No. 2, 2001, 201-216. [13] J. L. Zou, X. K. Ma. Eeperimental study of Fast-scale bifurcation in PFC Boost converters. Proceeding of the CSEE, Vol. 28, No. 12, 2008, 38-43. [14] X. K. Ma, W. Z. Liu, H. Zhang. Analysis of intermitent bifurcations and chaos phenomena in Boost PFC converters . Proceeding of the CSEE, Vol. 25, No. 5, 2005, 61-67. [15] H. H. C. Iu, Y. F. Zhou, C. K. Tse. Fast-scale instability in a PFC boost converter under average current mode control. Int J Circuit Theory Appl, Vol. 31, No. 6, 2003, 611-624. [16] X. Wu, C. K. Tse, O. Dranga, et al. Fast-scale instability of single-stage power-factor-correction power supplies. IEEE Trans Circ Syst I, Vol. 53, No. 1, 2006, 204-213. [17] J. L. Zou, X. K. Ma, C. K. Tse, et al. Fast-scale bifurcation in power-factor-correction buck-boost converters and effects of incompatible periodicities. Int J Circuit Theory Appl, Vol. 34, No. 3, 2006, 251-264. [18] X. Wu, C. K. Tse, S. C. Wong, 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, Vol. 34, No. 3, 2006, 341-355. [19] W. G. Lu, L.W. Zhou, Q. M. Luo. Time-delayed feedback control of chaos in BOOST converter and itsoptimization. Acta Physica Sinica, Vol. 56, No. 11, 2007, 6275-6281. [20] Y. F. Zhou, J. C .Huang , S. B. Wang, W. Jiang, J. N. Chen. Principle of designing slope compensation in PFC Boost converter, Sci China Inf Sci, Vol. 52, No. 11, 2009, 2226-2233.