Bibliograph. Daten | Avrutin, Viktor; Fossas, Enric; Granados, Albert; Schanz, Michael: Virtual orbits and two-parameter bifurcation analysis in a ZAD-controlled buck converter. In: Springer-Verlag (Hrsg): Zeitschrift: Nonlinear Dynamics. Universität Stuttgart, Fakultät Informatik, Elektrotechnik und Informationstechnik. S. 1-15, englisch. Online, 8. August 2010. DOI: 10.1007/s11071-010-9782-7. Artikel in Zeitschrift.
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CR-Klassif. | 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 |
Kurzfassung | 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 |
Kontakt | Albert.Granados@ipvs.uni-stuttgart.de Viktor.Avrutin@ipvs.uni-stuttgart.de Michael.Schanz@informatik.uni-stuttgart.de |
Abteilung(en) | Universität Stuttgart, Institut für Parallele und Verteilte Systeme, Bildverstehen
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Projekt(e) | AnT
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Eingabedatum | 4. Oktober 2010 |
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