Abstract
This review paper studies nonlinear dynamics of parallel dc–dc converters and its practical applications. First, we introduce a single dc–dc converter which is a building block of the parallel system. Using a simple model of piecewise constant vector field, we show that the converters exhibit rich bifurcation phenomena including chaos and complicated superstable periodic orbits. We then introduce paralleled converters using a switching rule based on the winner-take-all principle. The switching can realize multi-phase synchronization that is crucially important to realize current sharing with smaller ripple for the low-voltage high-current capabilities. Presenting simple test circuit, typical phenomena are confirmed experimentally.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Banerjee, S. and Verghese, G. C., eds. (2001). Nonlinear Phenomena in Power Electronics: Attractors, Bifurcations, Chaos, and Nonlinear Control. IEEE Press.
Tse, C. K. and di Bernardo, M. (2002). Complex behavior in switching power converters. Proc. IEEE, 90, pp. 768–781.
Giral, R., Martinez-Salamero, L. and Singer, S. (1999). Interleaved converters operation based on CMC. IEEE Trans. Power Electron., 14, 4, pp.643–652.
Giral, R., Martinez-Salamero, L., Leyva, R. and Maixe, J. (2000). Sliding-mode control of interleaved boost converters, IEEE Trans. Circuits Systs. I, 47, pp. 1330–1339.
Zhou, X., Xu, P. and Lee, F. C. (2000). A novel current-sharing control technique for low-voltage high-current voltage regulator module applications. IEEE Trans. Power Electron., 15, pp.1153–1162.
Mazumder, S. K., Nayfeh, A. H. and Borojevic, D. (2002). Robust control of parallel DC-DC buck converters by combining integral-variable-structure and multiple-sliding-surface control schemes. IEEE Trans. Power Electron., 17, pp. 428–437.
Mazumder, S. K., Tahir, M and Kamisetty, S. L. (2005). Wireless PWM control of a parallel DC/DC buck converter, IEEE Trans. Power Electron., 20, pp. 1280–1286.
Abu-Qahouq, J., Mao, H. and I. Batarseh, I. (2004). Multiphase voltage-mode hysteretic controlled dc-dc converter with novel current sharing IEEE Trans. Power Electron., 19, 1, pp. 1397–1407.
Saito, T., Tasaki, S. and Torikai, H. (2005). Interleaved buck converters based on winner-take-all switching. IEEE Trans. Circuits Syst. I, 52, pp. 1666–1672.
Ishikawa, Y. and Saito, T. (2007). WTA-based Switching Strategy for Paralleled DC–DC Converters. Proc. NOLTA.
Branicky, M. S. (1998). Multiple Lyapunov functions and other analysis tools for switched and hybrid systems, IEEE Trans. Automat. Contr., 43, pp. 475–482.
Saito, T., Torikai, H. and Schwarz, W. (2000). Switched dynamical systems with double periodic inputs: an analysis tool and its application to the buck-boost converter. IEEE Trans. Circuits Syst. I, 47, pp.1038–1046.
Iu, H. H. C. and Tse, C. K. (2001). Bifurcation behavior in parallel-connected buck converters, IEEE Trans. Circuits Systs. I, 48, pp. 233–240.
Torikai, H., Saito, T. and Schwarz, W. (1999). Synchronization via multiplex pulse-train. IEEE Trans. Circuits Syst. I, 46, pp.1072–1085.
Hamill, D. C. and Jeffries, D. J. (1988). Subharmonics and chaos in a controlled switched-mode power converter, IEEE Trans. Circuits Systs. I, 35, pp. 1059–1061.
Deane, J. H. B., Ashwin, P., Hamill, D. C. and Jeffries, D. J. (1999). Calculation of the periodic spectral components in a chaotic DC–DC converter. IEEE Trans. Circuits Systs. I, 46, pp.1313–1319.
Kabe, T., Parui, S., Torikai, H., Banerjee, S. and Saito, T. Analysis of current mode controlled DC-DC converters through piecewise linear models. IEICE Trans. Fundamentals, 2007.
Hamill, D. C., Deane, J. H. B. and Jeffries, D. J. (1992). Modeling of chaotic dc-dc converters by iterated nonlinear mappings. IEEE Trans. Power Electron., 7, pp. 25–36
Ott, E. (1993). Chaos in dynamical systems. Cambridge.
Sharkovsky, A. N. and Chua, L. O. (1993). Chaos in some 1-D discontinuous maps that appear in the analysis of electrical circuits, IEEE Trans. Circuits Systs., 40, pp. 722–731.
Deane, J. H. B. and Hamill, D. C. (1996). Improvement of power supply EMC by chaos. Electron. Lett. 32, 12, p. 1045.
Matsuo, H., Lin, W., Kurokawa, F., Shigemizu, T. and Watanabe N. (2004). Characteristics of the Multiple-Input DC-DC onverter. IEEE Trans. Ind. Electron., 51, pp. 625–631.
Solero, L., Lidozzi, A. and Pomilio, J. A. (2005). Design of multiple-input power converter for hybrid vehicles. IEEE Trans. Power Electron., 20, pp. 1007–1016, 2005.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Saito, T., Ishikawa, Y., Ishige, Y. (2009). Multi-Phase Synchronization and Parallel Power Converters. In: In, V., Longhini, P., Palacios, A. (eds) Applications of Nonlinear Dynamics. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85632-0_11
Download citation
DOI: https://doi.org/10.1007/978-3-540-85632-0_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85631-3
Online ISBN: 978-3-540-85632-0
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)