Bibliography | Avrutin, Viktor; Fossas, Enric; Granados, Albert; Schanz, Michael: Virtual orbits and two-parameter bifurcation analysis in a ZAD-controlled buck converter. In: Springer-Verlag (ed.): Zeitschrift: Nonlinear Dynamics. University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology. pp. 1-15, english. Online, August 8, 2010. DOI: 10.1007/s11071-010-9782-7. Article in Journal.
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CR-Schema | J.2 (Physical Sciences and Engineering)
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Keywords | power electronics; zero average dynamics (ZAD) control; bifurcations; non-smooth systems; bifurcations; virtual orbits |
Abstract | Based on a recently obtained Lemma about periodic orbits in linear systems with a piecewise-linear non-autonomous periodic control, we describe analytically the bifurcation structures in a ZAD-controlled buck converter. This analytical description shows that the period doubling bifurcation in this system may be both subcritical or supercritical. Considering virtual orbits we show how a saddle-node bifurcation becomes feasible and how it is destroyed at a new codimension-2 bifurcation point, where the subcritical period doubling bifurcation becomes supercritical. We also show that this phenomenon does not take place when the error surface in the ZAD conditions piecewise-linear defined.
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Copyright | Springer Science+Business Media |
Contact | Albert.Granados@ipvs.uni-stuttgart.de Viktor.Avrutin@ipvs.uni-stuttgart.de Michael.Schanz@informatik.uni-stuttgart.de |
Department(s) | University of Stuttgart, Institute of Parallel and Distributed Systems, Image Understanding
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Project(s) | AnT
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Entry date | October 4, 2010 |
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