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Unfolding nonsmooth bifurcation patterns in A 1-D PWL MAP as a model of a single-inductor two-output DC-DC switching converter

  • Identification data

    Identifier: imarina:9285281
    Authors:
    Benadero, LMoreno-Font, VEl Aroudi, A
    Abstract:
    A piecewise linear (PWL) continuous map is used to analyze the nonsmooth bifurcation phenomena in a single-inductor two-output (SITO) DC-DC converter under a PWM interleaved control scheme. This map models the dynamical behavior of the converter when the waveforms of the inductor current can be approximated by straight lines during each switching subinterval. The parameter space is constrained by the interleaving control and the physical restriction on the values of some parameters. The main focus of this paper is on the existence and stability conditions of the rich variety of k-periodic orbits and the different bifurcation patterns that can be exhibited in this system. The analytical results in the form of 1-D and 2-D bifurcation diagrams are compared with numerical simulations obtained from the circuit-based switched model getting a good agreement between the two approaches. © 2013 World Scientific Publishing Company.
  • Others:

    Author, as appears in the article.: Benadero, L; Moreno-Font, V; El Aroudi, A
    Department: Enginyeria Electrònica, Elèctrica i Automàtica
    URV's Author/s: El Aroudi Chaoui, Abdelali
    Keywords: Stability analysis Sito converter Power electronics Piecewise linear techniques Piecewise linear maps Physical restriction Nonsmooth bifurcations Existence and stability Electric inverters Electric inductors Dc-dc switching converters Dc-dc converters Dc-dc converter Chaos theory Chaos Bifurcation patterns Bifurcation (mathematics)
    Abstract: A piecewise linear (PWL) continuous map is used to analyze the nonsmooth bifurcation phenomena in a single-inductor two-output (SITO) DC-DC converter under a PWM interleaved control scheme. This map models the dynamical behavior of the converter when the waveforms of the inductor current can be approximated by straight lines during each switching subinterval. The parameter space is constrained by the interleaving control and the physical restriction on the values of some parameters. The main focus of this paper is on the existence and stability conditions of the rich variety of k-periodic orbits and the different bifurcation patterns that can be exhibited in this system. The analytical results in the form of 1-D and 2-D bifurcation diagrams are compared with numerical simulations obtained from the circuit-based switched model getting a good agreement between the two approaches. © 2013 World Scientific Publishing Company.
    Thematic Areas: Multidisciplinary sciences Multidisciplinary Modeling and simulation Mathematics, interdisciplinary applications Mathematics, applied Matemática / probabilidade e estatística Interdisciplinar Geociências General engineering Ensino Engineering (miscellaneous) Engenharias iv Engenharias iii Engenharias i Economia Ciências biológicas i Ciências agrárias i Ciência da computação Biodiversidade Astronomia / física Applied mathematics
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Author's mail: abdelali.elaroudi@urv.cat
    Author identifier: 0000-0001-9103-7762
    Record's date: 2024-10-12
    Papper version: info:eu-repo/semantics/acceptedVersion
    Link to the original source: https://www.worldscientific.com/doi/abs/10.1142/S0218127413300085
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: International Journal Of Bifurcation And Chaos. 23 (3): 1330008-
    APA: Benadero, L; Moreno-Font, V; El Aroudi, A (2013). Unfolding nonsmooth bifurcation patterns in A 1-D PWL MAP as a model of a single-inductor two-output DC-DC switching converter. International Journal Of Bifurcation And Chaos, 23(3), 1330008-. DOI: 10.1142/S0218127413300085
    Article's DOI: 10.1142/S0218127413300085
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2013
    Publication Type: Journal Publications
  • Keywords:

    Applied Mathematics,Engineering (Miscellaneous),Mathematics, Applied,Mathematics, Interdisciplinary Applications,Modeling and Simulation,Multidisciplinary,Multidisciplinary Sciences
    Stability analysis
    Sito converter
    Power electronics
    Piecewise linear techniques
    Piecewise linear maps
    Physical restriction
    Nonsmooth bifurcations
    Existence and stability
    Electric inverters
    Electric inductors
    Dc-dc switching converters
    Dc-dc converters
    Dc-dc converter
    Chaos theory
    Chaos
    Bifurcation patterns
    Bifurcation (mathematics)
    Multidisciplinary sciences
    Multidisciplinary
    Modeling and simulation
    Mathematics, interdisciplinary applications
    Mathematics, applied
    Matemática / probabilidade e estatística
    Interdisciplinar
    Geociências
    General engineering
    Ensino
    Engineering (miscellaneous)
    Engenharias iv
    Engenharias iii
    Engenharias i
    Economia
    Ciências biológicas i
    Ciências agrárias i
    Ciência da computação
    Biodiversidade
    Astronomia / física
    Applied mathematics
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