Analysis and control of chaotic behavior in boost converter by ramp compensation based on Lyapunov exponents assignment: theoretical and experimental investigation

Zamani, Najmeh; Ataei, Mohammad; Niroomand, Mehdi

doi:10.1016/j.chaos.2015.08.010

Cited by 18 publications

(12 citation statements)

References 26 publications

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“…Many results regarding the calculation of the Lyapunov exponent spectrum of DC‐DC converters have been presented. However, most of these algorithms ignore the influence of the switching stage , so the calculation results cannot accurately reflect the dynamic characteristics of these nonsmooth DC‐DC converter systems. To solve this problem, we proposed a new method considering switching state compensation to calculate the Lyapunov exponent spectrum of DC‐DC converter feeding with SCPLs.…”

Section: Calculation Of the Lyapunov Exponent Spectrum In Dc‐dc Convementioning

confidence: 99%

A method for calculating the Lyapunov exponent spectrum of DC‐DC converter feeding with a switching constant power load

Huang

2020

IEEJ Transactions Elec Engng

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Nonlinear dynamic behaviors such as the bifurcation and chaos of DC‐DC converters with switching constant power load are studied in this paper. Based on the consideration of constant power load switching, a discrete iterative mapping model of the system including the switching process is established, and its Lyapunov exponent spectrum algorithm is derived. The main procedure of the algorithm is as follows: Firstly, the system is divided into six smooth segments, and the zero‐time discontinuous mapping of the load and mode switching is introduced. Secondly, the local mapping of each smooth segment and the zero‐time discontinuous mapping of the switching phase are used to construct the composite Poincaré mapping of the system by the chain rule, and then the discrete iterative mapping model of the system is established. Finally, the Lyapunov exponent spectrum algorithm of the system is derived based on the model to determine the type of nonlinear dynamic behavior of the system. This algorithm overcomes the problems of the existing methods, which lead to inaccurate results due to the neglect of the switching process, and achieves the purpose of accurately describing the dynamic characteristics of power electronic circuits. The simulation and experimental results have verified the validity of the proposed model and algorithm. © 2020 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.

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Section: Calculation Of the Lyapunov Exponent Spectrum In Dc‐dc Convementioning

confidence: 99%

A method for calculating the Lyapunov exponent spectrum of DC‐DC converter feeding with a switching constant power load

Huang

2020

IEEJ Transactions Elec Engng

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“…J. M. Wang et al proposed a control scheme for power factor corrected boost converter, which can provide good transient response . A study on the nonlinear dynamical characteristic for current mode control boost converter in continuous conduction mode (CCM) has been described by N. Zamani et al But only integral controller was used for the modeling and implementation purpose . The modeling of a boost converter by using state space averaging (SSA) method in CCM and discontinous conduction mode (DCM) mode operation have been discussed by F. M. Shahir et al M. Zhioua et al studied a boost converter, which is fed by a photovoltaic (PV) generator and supplying a constant voltage to load.…”

Section: Introductionmentioning

confidence: 99%

“…Although the considerable amount of works has already been done by previous researchers, some important portions of the dynamics study of converters are still uncovered. It has been observed from the aforesaid literatures that the most of the prior researchers have been used state space averaging (SSA) method for converter modeling, has been implemented using integral controller for closed‐loop operation etc.…”

Section: Introductionmentioning

confidence: 99%

Modeling and analysis of complex dynamics for dSPACE controlled closed‐loop DC‐DC boost converter

Banerjee

Ghosh

Padmanaban

2019

Int Trans Electr Energ Syst

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Summary DC‐DC switched mode power converter circuits are time varying and nonlinear in nature. This work analyzes the modeling and complex dynamics in voltage mode controlled (VMC) of the Boost converter in continuous conduction mode (CCM) of operation by using continuous‐time model. The switching converter is governed by naturally sampled constant frequency pulsed signals. Mathematical modeling of the boost converter numerically developed by using differential equations and tested in simulation software. The switching converter may exhibit fundamental, quasiperiodic, and chaotic oscillations by the systematic changing of converter's variables. The stability of the system investigated through the locus of the complex eigenvalues and the characteristic multipliers locating the onset of Hopf bifurcation. The one‐periodic orbit loses its stability via Hopf bifurcation, and the resulting attractor is a quasiperiodic orbit. A dSPACE controlled boost converter prototype hardware fabricated to establish the experimental studies in this work. Both the computational and experimental results have been included to validate the set analysis. It is observed that the route to chaos reached by the slow‐scale instability in this proposed work.

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“…Bifurcation diagram is very helpful for engineers to control dynamical systems to prevent or control bifurcations; e.g. [7,8]. Numerical and analytical methods are used for plotting this types of diagrams by machine and hand.…”

Section: Introductionmentioning

confidence: 99%

A Step-by-Step Algorithm for Plotting Local Bifurcation Diagram

Aghaei¹,

Daeichian²

2017

Journal of Nonlinear Analysis and Application

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This paper proposes a graphically step-by-step algorithm for plotting local bifurcation diagram as well as determining stability or instability of all branches. The presented method which consists of eight steps, is effortlessly Applicable to the first and second order complex nonlinear systems. It provides a visual sense for engineers to analyze and design systems. The method is validated by applying on several different examples.

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Analysis and control of chaotic behavior in boost converter by ramp compensation based on Lyapunov exponents assignment: theoretical and experimental investigation

Cited by 18 publications

References 26 publications

A method for calculating the Lyapunov exponent spectrum of DC‐DC converter feeding with a switching constant power load

A method for calculating the Lyapunov exponent spectrum of DC‐DC converter feeding with a switching constant power load

Modeling and analysis of complex dynamics for dSPACE controlled closed‐loop DC‐DC boost converter

A Step-by-Step Algorithm for Plotting Local Bifurcation Diagram

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