Experimental Verification of Hopf Bifurcation in DC--DC Luo Converter

Kavitha, A.; Uma, G.

doi:10.1109/tpel.2008.2004703

Cited by 47 publications

(35 citation statements)

References 12 publications

(11 reference statements)

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“…The dynamics obtained by varying the load and reference voltage, with the remaining parameters constant show a fundamental operation initially and eventually to enter into the chaotic regime through a quasi periodic operation [31].…”

Section: Fig 2 Occurrence Of Hopf Bifurcation Through Torus Breakdomentioning

confidence: 94%

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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Section: Fig 2 Occurrence Of Hopf Bifurcation Through Torus Breakdomentioning

confidence: 94%

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

Subashini¹,

Ramaswamy²

2017

JESTR

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“…The technique of Hopf bifurcation control has been widely applied to solve physical and engineering problems (including electronic circuits [3][4][5], power systems [6][7], chemical [8], etc.). The control of Hopf bifurcation system has become a prime subject in nonlinear dynamics and has been widely investigated in recent years [9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

A Novel Parametric Controller Design Method for Hopf Bifurcation System

Lu¹,

Hou²,

Luo³

2017

IJCA

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“…With them operating, some irregular phenomena often arise, such as a sudden collapse of the running state, an unknown electromagnetic noise, instability of the running system. These behaviors greatly affect the stability of the system [1][2][3][4]. However, they have been often ignored or treated as a fault by practical circuit designers for a long time.…”

Section: Introductionmentioning

confidence: 99%

Effect of Circuit Parameters on Stability of Voltage-fed Buck-Boost Converter in Discontinuous Conduction Mode

Feng¹,

Gong²,

Wang³

2014

Journal of Electrical Engineering and Technology

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-The state transition matrix are obtained by solving state equations in terms of Laplace inverse transformation and Cayley-Hamilton theorem, and an establishment of a precise discreteiterative mapping of the voltage-fed buck-boost converter operating in discontinuous conduction mode is made. On the basis of the mapping, the converter bifurcation diagrams and Lyapunov exponent diagrams with the input voltage, the resistance, the inductance and the capacitance as the bifurcation parameters are obtained, and the effect of the parameters on the system stability is deeply studied. The results obtained show that they have a great influence on the stability of the system, and the general trend is that the increase of either the voltage-fed coefficient, input voltage or the load resistance, or the decrease of the filtering inductance, capacitance will make the system stability become poorer, and that all the parameters have a critical value, and when they are greater or less than the values, the system will go through stable 1T orbits, stable 2T orbits, 4T orbits, 8T orbits and eventually approaches chaos.

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Experimental Verification of Hopf Bifurcation in DC--DC Luo Converter

Cited by 47 publications

References 12 publications

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

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

A Novel Parametric Controller Design Method for Hopf Bifurcation System

Effect of Circuit Parameters on Stability of Voltage-fed Buck-Boost Converter in Discontinuous Conduction Mode

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