Articles producció científica> Enginyeria Electrònica, Elèctrica i Automàtica

Period adding with symmetry breaking/recovering in a power inverter with hysteresis control

  • Datos identificativos

    Identificador: imarina:9287548
    Autores:
    Zhusubaliyev, Zhanybai TAvrutin, ViktorKucherov, Andrey SHaroun, RehamEl Aroudi, Abdelali
    Resumen:
    In the present work, we investigate a period adding structure observed in a discontinuous 1D map modeling the behavior of a DC–AC H-bridge inverter with hysteresis control. Supported by experimental measurements from a laboratory prototype, we demonstrate that the structure is partially affected by bistability, so that for some parameter values the system has a single attracting cycle while for other parameter values a pair of attracting cycles of the same period exists. We show that the reason for possible bistability is related to the symmetry of the underlying model. Then, by means of symbolic dynamics, we explain which of the cycles are affected by bistability and which are not.
  • Otros:

    Autor según el artículo: Zhusubaliyev, Zhanybai T; Avrutin, Viktor; Kucherov, Andrey S; Haroun, Reham; El Aroudi, Abdelali
    Departamento: Enginyeria Electrònica, Elèctrica i Automàtica
    Autor/es de la URV: Cid Pastor, Angel / El Aroudi Chaoui, Abdelali / Haroun Mohamed Abdelkarim, Reham
    Palabras clave: Relay system Period adding Hysteresis control Farey structures Dc–ac inverter Dc-ac inverter Circle map Bistability period adding maps hysteresis control farey structures converter circle map bistability bifurcations
    Resumen: In the present work, we investigate a period adding structure observed in a discontinuous 1D map modeling the behavior of a DC–AC H-bridge inverter with hysteresis control. Supported by experimental measurements from a laboratory prototype, we demonstrate that the structure is partially affected by bistability, so that for some parameter values the system has a single attracting cycle while for other parameter values a pair of attracting cycles of the same period exists. We show that the reason for possible bistability is related to the symmetry of the underlying model. Then, by means of symbolic dynamics, we explain which of the cycles are affected by bistability and which are not.
    Áreas temáticas: Statistical and nonlinear physics Physics, multidisciplinary Physics, mathematical Physics, fluids & plasmas Physics Medicina ii Mathematics, applied Mathematical physics Matemática / probabilidade e estatística Interdisciplinar Geociências Ensino Engenharias iv Engenharias iii Engenharias ii Condensed matter physics Ciência da computação Biodiversidade Astronomia / física Applied mathematics
    Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
    Direcció de correo del autor: reham.haroun@urv.cat angel.cid@urv.cat abdelali.elaroudi@urv.cat
    Identificador del autor: 0000-0002-8099-4281 0000-0001-8124-6210 https://orcid.org/0000-0001-9103-7762 0000-0001-9103-7762
    Fecha de alta del registro: 2025-01-28
    Versión del articulo depositado: info:eu-repo/semantics/acceptedVersion
    URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referencia al articulo segun fuente origial: Physica D-Nonlinear Phenomena. 444 133600-
    Referencia de l'ítem segons les normes APA: Zhusubaliyev, Zhanybai T; Avrutin, Viktor; Kucherov, Andrey S; Haroun, Reham; El Aroudi, Abdelali (2023). Period adding with symmetry breaking/recovering in a power inverter with hysteresis control. Physica D-Nonlinear Phenomena, 444(), 133600-. DOI: 10.1016/j.physd.2022.133600
    Entidad: Universitat Rovira i Virgili
    Año de publicación de la revista: 2023
    Tipo de publicación: Journal Publications
  • Palabras clave:

    Applied Mathematics,Condensed Matter Physics,Mathematical Physics,Mathematics, Applied,Physics,Physics, Fluids & Plasmas,Physics, Mathematical,Physics, Multidisciplinary,Statistical and Nonlinear Physics
    Relay system
    Period adding
    Hysteresis control
    Farey structures
    Dc–ac inverter
    Dc-ac inverter
    Circle map
    Bistability
    period adding
    maps
    hysteresis control
    farey structures
    converter
    circle map
    bistability
    bifurcations
    Statistical and nonlinear physics
    Physics, multidisciplinary
    Physics, mathematical
    Physics, fluids & plasmas
    Physics
    Medicina ii
    Mathematics, applied
    Mathematical physics
    Matemática / probabilidade e estatística
    Interdisciplinar
    Geociências
    Ensino
    Engenharias iv
    Engenharias iii
    Engenharias ii
    Condensed matter physics
    Ciência da computação
    Biodiversidade
    Astronomia / física
    Applied mathematics
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