Dynamical Effects of Missed Switching in Current-Mode Controlled dc–dc Converters

Banerjee, Soumitro; Parui, Sukanya; Gupta, Abhishek

doi:10.1109/tcsii.2004.838438

Cited by 82 publications

(41 citation statements)

References 13 publications

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“…Note that many papers deals with on piecewise smooth maps that are continuous across the borderlines [3,4], however, many switching dynamic systems as DC-DC converters [5], thyristor controlled reactor circuits [23], digitally controlled systems [16] give rise to discontinuous maps. The bifurcation theory for one and two dimensional continuous piecewise maps has been developed in [3,11,10,20,24].…”

Section: Introductionmentioning

confidence: 99%

Chaotic behavior analysis based on corner bifurcations

Benmerzouk¹,

Barbot²

2009

Nonlinear Analysis: Hybrid Systems

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In this paper, a mathematical analysis in order to generate a chaotic behavior for piecewise smooth systems submitted to one of it's specific bifurcations, namely the corner one, is proposed. This study is based on period doubling method.Key words: Bifurcation of limits cycles and periodic orbits (37G15), Existence of solutions (74H20), Chaotic behavior (74H65), Bifurcations connected with nontransversal intersection (37G25).

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Section: Introductionmentioning

confidence: 99%

Chaotic behavior analysis based on corner bifurcations

Benmerzouk¹,

Barbot²

2009

Nonlinear Analysis: Hybrid Systems

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“…In this case the same mechanism as discussed above causes a chaotic attractor, with the same stability condition as in (11).…”

Section: Regular Saddle To Flip Saddlementioning

confidence: 74%

Bifurcation phenomena in two-dimensional piecewise smooth discontinuous maps

Rakshit

Apratim

Banerjee

2010

Chaos: An Interdisciplinary Journal of Nonlinear Science

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In recent years the theory of border collision bifurcations has been developed for piecewise smooth maps that are continuous across the border, and has been successfully applied to explain nonsmooth bifurcation phenomena in physical systems. However, many switching dynamical systems have been found to yield two-dimensional piecewise smooth maps that are discontinuous across the border. The theory for understanding the bifurcation phenomena in such systems is not available yet. In this paper we present the first approach to the problem of analysing and classifying the bifurcation phenomena in two-dimensional discontinuous maps, based on a piecewise linear approximation in the neighborhood of the border. We explain the bifurcations occurring in a physical system -the static VAR compensator used in electrical power systems, using the theory developed in this paper. This theory may be applied similarly to other systems that yield 2-D discontinuous maps.

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“…The system reduces to the 1-D form and the inductor current waveform becomes piecewise linear, allowing simplicity in modelling [18].…”

Section: Modelling Techniques For Nonlinear Analysis Of Dc-dc Convertermentioning

confidence: 99%

Bifurcation and Chaos in Converter Interfaces in Solar PV Systems-A Review

Subashini¹,

Ramaswamy²

2017

JESTR

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The paper attempts to present a detailed study of the nonlinear phenomena that includes bifurcations, sub-harmonics and chaos in an effort to arrive at the appropriate choice of converter interface suitable for specific PV systems and evolve criterions for their design and control. The resurgence of switching dc-dc converters as power processing units in renewable energy applications appear to open up new perceptions for harnessing energy efficiency. The focus orients to review the modelling techniques used for nonlinear analysis in the different operating modes of the converter and identify the gap in the related domain with special relevance to the converter interfaces in solar PV systems. The exercise incites to explain the forms of bifurcations, the routes to chaos and the associated control techniques for arbitrating its significance in this perspective. The benefits of analysis of nonlinear phenomena in regulatory applications claim a new space in energy processing applications and forge to explore their role as maximum power point (MPP) trackers. The emphasis endeavours to enhance the scope of use of solar energy and offer a fresh dimension to support the clean energy act and perpetuate the desire to enliven a greener world.

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Dynamical Effects of Missed Switching in Current-Mode Controlled dc–dc Converters

Cited by 82 publications

References 13 publications

Chaotic behavior analysis based on corner bifurcations

Chaotic behavior analysis based on corner bifurcations

Bifurcation phenomena in two-dimensional piecewise smooth discontinuous maps

Bifurcation and Chaos in Converter Interfaces in Solar PV Systems-A Review

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