Non-linear bifurcation method to determine the boost converter switching frequency

Prior to the design of the feedback system for a boost converter, a suitable switching frequency for the transistor has to be determined. A non-linear method for determining this frequency via an experimental open-loop converter model is studied. Utilising the open-loop model as an investigative too...

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Bibliographic Details
Published in:IET power electronics 2020-08, Vol.13 (11), p.2372-2379
Main Authors: Tsirbas, Elias D, Topalis, Frangiskos V, Skoubris, Evangelos N
Format: Article
Language:English
Subjects:
authors
bifurcation
bifurcation diagrams
bifurcation peak‐to‐peak analysis
boost converter
boost diode
chaos
experimental open‐loop converter model
feedback system
frequency spectra
investigative tool
Lyapunov methods
nonlinear bifurcation method
nonlinear capacitance
nonlinear distinct resonant frequencies
nonlinear method
open‐loop model
period‐doublings
Research Article
suitable switching frequency
switching convertors
switching frequency ranges
unstable frequency regions
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Summary:Prior to the design of the feedback system for a boost converter, a suitable switching frequency for the transistor has to be determined. A non-linear method for determining this frequency via an experimental open-loop converter model is studied. Utilising the open-loop model as an investigative tool, two non-linear distinct resonant frequencies have been found to be a source of chaos. This condition for chaos holds when the boost diode's reverse-recovery time, its non-linear capacitance, as well as the inductance are the combined parameters within these frequencies. When the switching frequency is synchronised with these frequencies, ultra-harmonics, period-doublings and sudden transitions to chaos occur for various switching frequency ranges. The dependence equations of our theoretical model that incorporate these resonant frequencies predict the unstable frequency regions. The authors’ numerical method utilises a bifurcation peak-to-peak analysis that detects the waveform periodicity of certain voltage variables. Highly unstable behaviour of the converter is reported both in simulation and in the laboratory. The periodic and non-periodic regions are confirmed by the corresponding computations of the Lyapunov exponent, Poincaré sections, frequency spectra and bifurcation diagrams.
ISSN:1755-4535
1755-4543
1755-4543
DOI:10.1049/iet-pel.2020.0127