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

High-Feedback Operation of Power Electronic Converters

1 Department of Computer Science, South West State University, 50 Years of October Street, 94,Kursk 305040, Russia 2 Department of Physics, Technical University of Denmark, 2800 Lyngby, Denmark 3 Department of Electronics, Radioelectronic and Electrotechnical Systems, Bryansk State TechnicalUniversity, Bulvar 50 Letiya Oktyabrya, 7, Bryansk 241035, Russia 4 Department of Industrial Electronics, Tomsk State University of Control Systems andRadioelectronics, 40 Lenina Prospect, Tomsk 634050, Russia
* Author to whom correspondence should be addressed.
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)
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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

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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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