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In-Depth Analysis of Smooth and Nonsmooth Bifurcations for an Open-Loop Boost Converter Feeding Constant Power Loads in Discontinuous Conduction Mode

  • Identification data

    Identifier: imarina:9296453
    Authors:
    Benadero, LuisEl Aroudi, AbdelaliMartinez-Salamero, LuisTse, Chi K
    Abstract:
    This paper presents a study of the existence conditions of limit cycles and mechanisms when losing their stability in an open-loop DC-DC boost converter loaded with a constant power load and operating in discontinuous conduction mode. First, the existence conditions are determined. Then, boundaries associated with different kinds of instabilities such as the classical smooth fold and period-doubling bifurcations and nonsmooth border-collision bifurcations such as fold border-collision bifurcations are elucidated. To perform the stability analysis, an implicit 1D map for the system is derived. From this model, it is obtained that smooth period-doubling and fold bifurcations may occur at certain values of the circuit parameters. Some results from numerical simulations performed on the circuit-based switched model are provided showing consistency with the theoretical analysis from the derived model.
  • Others:

    Author, as appears in the article.: Benadero, Luis; El Aroudi, Abdelali; Martinez-Salamero, Luis; Tse, Chi K
    Department: Enginyeria Electrònica, Elèctrica i Automàtica
    URV's Author/s: Cid Pastor, Angel / El Aroudi Chaoui, Abdelali / Martínez Salamero, Luis
    Keywords: Stability analysis Power converter Open-loop Limit cycle Bifurcation
    Abstract: This paper presents a study of the existence conditions of limit cycles and mechanisms when losing their stability in an open-loop DC-DC boost converter loaded with a constant power load and operating in discontinuous conduction mode. First, the existence conditions are determined. Then, boundaries associated with different kinds of instabilities such as the classical smooth fold and period-doubling bifurcations and nonsmooth border-collision bifurcations such as fold border-collision bifurcations are elucidated. To perform the stability analysis, an implicit 1D map for the system is derived. From this model, it is obtained that smooth period-doubling and fold bifurcations may occur at certain values of the circuit parameters. Some results from numerical simulations performed on the circuit-based switched model are provided showing consistency with the theoretical analysis from the derived model.
    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: angel.cid@urv.cat abdelali.elaroudi@urv.cat
    Author identifier: 0000-0001-8124-6210 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/10.1142/S0218127423500438
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: International Journal Of Bifurcation And Chaos. 33 (4): 2350043-
    APA: Benadero, Luis; El Aroudi, Abdelali; Martinez-Salamero, Luis; Tse, Chi K (2023). In-Depth Analysis of Smooth and Nonsmooth Bifurcations for an Open-Loop Boost Converter Feeding Constant Power Loads in Discontinuous Conduction Mode. International Journal Of Bifurcation And Chaos, 33(4), 2350043-. DOI: 10.1142/S0218127423500438
    Article's DOI: 10.1142/S0218127423500438
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2023
    Publication Type: Journal Publications
  • Keywords:

    Applied Mathematics,Engineering (Miscellaneous),Mathematics, Applied,Mathematics, Interdisciplinary Applications,Modeling and Simulation,Multidisciplinary,Multidisciplinary Sciences
    Stability analysis
    Power converter
    Open-loop
    Limit cycle
    Bifurcation
    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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