Theoretical and experimental investigation of bidirectional Hopf bifurcations in cascade DC-DC buck converters

DOI10.1016/j.matcom.2011.09.004zbMath1243.78038OpenAlexW2010481779MaRDI QIDQ433611

Xiao-Ping Yang, Hao Zhang, Feng Zheng, Xi-Kui Ma

Publication date: 5 July 2012

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2011.09.004

zbMATH Keywords

Jacobianaveraged modelbehavior boundariesbidirectional Hopf bifurcationcascade DC-DC buck converter

Mathematics Subject Classification ID

Technical applications of optics and electromagnetic theory (78A55) Computational methods for bifurcation problems in dynamical systems (37M20) Bifurcation theory of functional-differential equations (34K18)

Related Items (4)

Nonlinear Modal Analysis of Transient Behavior in Cascade DC–DC Boost Converters ⋮ Design and optimization of buck and double buck converters by means of geometric programming ⋮ Stability and Evolutionary Trend of Hopf Bifurcations in Double-Input SEPIC DC–DC Converters ⋮ UNFOLDING NONSMOOTH BIFURCATION PATTERNS IN A 1-D PWL MAP AS A MODEL OF A SINGLE-INDUCTOR TWO-OUTPUT DC–DC SWITCHING CONVERTER

Cites Work

• Hopf bifurcation analysis of integro-differential equation with unbounded delay
• Quasiperiodicity and torus breakdown in a power electronic dc/dc converter
• Modeling and stability analysis of cascade buck converters with \(N\) power stages
• Bifurcations in two-dimensional piecewise smooth maps-theory and applications in switching circuits
• INTERACTION OF FAST-SCALE AND SLOW-SCALE BIFURCATIONS IN CURRENT-MODE CONTROLLED DC/DC CONVERTERS
• Boundaries between fast‐ and slow‐scale bifurcations in parallel‐connected buck converters
• Secondary Bifurcations and High Periodic Orbits in Voltage Controlled Buck Converter
• Iteration of Runge‐Kutta Methods with Block Triangular Jacobians
• Quasi-periodicity and border-collision bifurcations in a DC-DC converter with pulsewidth modulation

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