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Effects of Control Non-idealities on the Nonlinear Dynamics of Switching DC-DC Converters

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Chaos and Complex Systems

Part of the book series: Springer Proceedings in Complexity ((SPCOM))

Abstract

Recent researches have shown that classical models used for the analysis of the dynamics of switching power converters do not allow the prediction of wide variety of nonlinear regimes, endangering the operation of power systems and all the connected circuitry. One of the causes is that the majority of models and corresponding stability criteria are based on the assumption, that the control elements with momentary reaction are used. The paper is dedicated to the investigation of the effects of control system’s non-idealities on the global dynamics and stability of switching power converters. The discrete-time model of boost converter, including switching delays, is presented and studied by means of innovative approach, based on the numerical calculation of periodic regimes, with the following definition of stability regions in parameter plane. It is shown that the time lag of feedback loop substantially changes the topology of stability borders as well as leads to sudden qualitative changes in the dynamics of the system. The obtained results allow the identification of critical control parameters’ values and their tolerances, excluding the possibilities of catastrophic phenomena in the dynamics of switching power converters.

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References

  1. J.M. Rivas, D. Jackson, O. Leitermann, et al., Design considerations for very high frequency dc-dc converters, in Proceedings of Power Electronics Specialists Conference PESC ‘06, Jeju, South Korea (2006), pp. 1–11. https://doi.org/10.1109/pesc.2006.1712114

  2. T. Nussbaumer, M. Heldwein, G. Gong, J. Kolar, Prediction techniques compensating delay times caused by digital control of a three-phase buck-type PWM rectifier system, in Proceedings of the IEEE IAS Industry Applications Conference and Fortieth IAS Annual Meeting 2 (2005), pp. 923–927. https://doi.org/10.1109/ias.2005.1518454

  3. S. Choudhury, Digital Control Design and Implementation of a DSP Based High-Frequency DC-DC Switching Power Converter (Texas Instruments Inc., 2004), http://powerelectronics.com/site-files/powerelectronics.com/files/archive/powerelectronics.com/digital_power/digital-control-design-and-implementation.pdf. Accessed 31 March 2015

  4. S. Banerjee, S. Parui, A. Gupta, Dynamical effects of missed switching in current-mode controlled dc-dc converters. IEEE Trans. Circuits Syst. Part II 51(12), 649–654 (2004). https://doi.org/10.1109/TCSII.2004.838438

    Article  Google Scholar 

  5. B. Kirisken, H.F. Ugurdag, Cost-benefit approach to degradation of electrolytic capacitors, in Proceedings of Annual Reliability and Maintainability Symposium (RAMS), Colorado Springs, USA (2014), pp. 1–6. https://doi.org/10.1109/rams.2014.6798436

  6. H. Asahara, T. Kousaka, S. Banerjee, Stability analysis in the current-mode controlled DC/DC buck converters with switching delay, in Proceedings of the Nonlinear Dynamics of Electronic Systems Conference NDES 2012, Wolfebuttel, Germany (2012), pp. 1–4. ISBN: 978-3-8007-3444-3

    Google Scholar 

  7. H. Asahara, I. Yutaka, T. Yusuke et al., Effect of time lag in response to switching signal in interrupted electric circuit. Circuits Syst. Signal Process. 33(9), 2695–2707 (2014). https://doi.org/10.1007/s00034-014-9780-y

    Article  Google Scholar 

  8. F. Vasca, L. Iannelli (eds.), Dynamics and Control of Switching Electronic Systems (Springer, London, UK, 2012). ISBN 978-1-4471-2884-7, https://doi.org/10.1007/978-1-4471-2885-4

    MATH  Google Scholar 

  9. M.M. Al-Hindawi, A. Abusorrah, Y. Al-Turki et al., Nonlinear dynamics and bifurcation analysis of a boost converter for battery charging in photovoltaic applications. Int. J. Bifurc. Chaos 24(11), 1450142 (2014). https://doi.org/10.1142/S0218127414501429

    Article  MATH  Google Scholar 

  10. C. Basso, Switch-Mode Power Supplies Spice Simulations and Practical Designs (McGraw-Hill Inc., New York, USA, 2008). ISBN: 978-0071508582

    Google Scholar 

  11. S. Banerjee, G.C. Verghese (eds.), Nonlinear Phenomena in Power Electronics. Attractors, Bifurcations, Chaos, and Nonlinear Control (Wiley-IEEE Press, 2001). ISBN: 978-0-7803-5383-1

    Google Scholar 

  12. C.K. Tse, Complex Behavior of Switching Power Converters (CRC Press, Boca Raton, US, 2003). ISBN: 978-0-8493-1862-7

    Google Scholar 

  13. R. Pollanen, A. Tariainen, O. Pyrhonnen, Simulation of a current-mode DC-DC boost converter in chaotic regime evaluating different simulation methods. Electr. Eng. 88(1), 35–44 (2005). https://doi.org/10.1007/s00202-004-0259-x

    Article  Google Scholar 

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Acknowledgements

Support for this work was provided by the Riga Technical University through the Scientific Research Project Competition for Young Researchers No. ZP-2014/11.

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Correspondence to D. Pikulins .

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Pikulins, D., Tjukovs, S., Eidaks, J. (2020). Effects of Control Non-idealities on the Nonlinear Dynamics of Switching DC-DC Converters. In: Stavrinides, S., Ozer, M. (eds) Chaos and Complex Systems. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-35441-1_12

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