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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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
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
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
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
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
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
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
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
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
C. Basso, Switch-Mode Power Supplies Spice Simulations and Practical Designs (McGraw-Hill Inc., New York, USA, 2008). ISBN: 978-0071508582
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
C.K. Tse, Complex Behavior of Switching Power Converters (CRC Press, Boca Raton, US, 2003). ISBN: 978-0-8493-1862-7
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
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.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-030-35441-1_12
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-35440-4
Online ISBN: 978-3-030-35441-1
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)