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Electronics 2013, 2(2), 113-167; doi:10.3390/electronics2020113
Review

High-Feedback Operation of Power Electronic Converters

1,* , 2
, 3
 and 4
Received: 29 November 2012; in revised form: 4 February 2013 / Accepted: 11 February 2013 / Published: 27 March 2013
(This article belongs to the Special Issue Feature Papers)
Download PDF [2760 KB, uploaded 27 March 2013]
Abstract: The purpose of this review is to provide a survey of some of the most important bifurcation phenomena that one can observe in pulse-modulated converter systems when operating with high corrector gain factors. Like other systems with switching control, electronic converter systems belong to the class of piecewise-smooth dynamical systems. A characteristic feature of such systems is that the trajectory is “sewed” together from subsequent discrete parts. Moreover, the transitions between different modes of operation in response to a parameter variation are often qualitatively different from the bifurcations we know for smooth systems. The review starts with an introduction to the concept of border-collision bifurcations and also demonstrates the approach by which the full dynamics of the piecewise-linear, time-continuous system can be reduced to the dynamics of a piecewise-smooth map. We describe the main bifurcation structures that one observes in three different types of converter systems: (1) a DC/DC converter; (2) a multi-level DC/DC converter; and (3) a DC/AC converter. Our focus will be on the bifurcations by which the regular switching dynamics becomes unstable and is replaced by ergodic or resonant periodic dynamics on the surface of a two-dimensional torus. This transition occurs when the feedback gain is increased beyond a certain threshold, for instance in Electronics 2013, 2 114 order to improve the speed and accuracy of the output voltage regulation. For each of the three converter types, we discuss a number of additional bifurcation phenomena, including the formation and reconstruction of multi-layered tori and the appearance of phase-synchronized quasiperiodicity. Our numerical simulations are compared with experimentally observed waveforms.
Keywords: power electronic converters; DC/DC converter; DC/AC converter; pulse-width modulation; piecewise-smooth dynamical systems; border-collision bifurcations; torus birth; torus reconstruction; phase-synchronized quasiperiodicity power electronic converters; DC/DC converter; DC/AC converter; pulse-width modulation; piecewise-smooth dynamical systems; border-collision bifurcations; torus birth; torus reconstruction; phase-synchronized quasiperiodicity
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Zhusubaliyev, Z.T.; Mosekilde, E.; Andriyanov, A.I.; Mikhal'chenko, G.Y. High-Feedback Operation of Power Electronic Converters. Electronics 2013, 2, 113-167.

AMA Style

Zhusubaliyev ZT, Mosekilde E, Andriyanov AI, Mikhal'chenko GY. High-Feedback Operation of Power Electronic Converters. Electronics. 2013; 2(2):113-167.

Chicago/Turabian Style

Zhusubaliyev, Zhanybai T.; Mosekilde, Erik; Andriyanov, Alexey I.; Mikhal'chenko, Gennady Y. 2013. "High-Feedback Operation of Power Electronic Converters." Electronics 2, no. 2: 113-167.


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