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

Content Provider	IET Digital Library
Author	Tsirbas, Elias D. Topalis, Frangiskos V. Skoubris, Evangelos N.
Abstract	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.
Starting Page	2372
Ending Page	2379
Page Count	8
ISSN	17554535
Volume Number	13
e-ISSN	17554543
Issue Number	Issue 11, Aug (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-pel/13/11
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-pel.2020.0127
Journal	IET Power Electronics
Publisher Date	2020-05-12
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Authors Bifurcation Bifurcation Diagrams Bifurcation Peak-to-peak Analysis Boost Converter Boost Diode Chaos Control of Electric Power System Experimental Open-loop Converter Model Feedback System Frequency Spectra Investigative Tool Lyapunov Method Nonlinear Bifurcation Method Nonlinear Capacitance Nonlinear Distinct Resonant Frequency Nonlinear Method Numerical Approximation And Analysis Open-loop Model Period-doublings Power Converter Power Electronics Power Supplies to Apparatus Power Supply Stability in Control Theory Suitable Switching Frequency Supervisory Circuit Switching Converter Switching Frequency Ranges Unstable Frequency Region
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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