Author, as appears in the article.: Avrutin, Viktor; Zhusubaliyev, Zhanybai T; El Aroudi, Abdelali
Department: Enginyeria Electrònica, Elèctrica i Automàtica
e-ISSN: 1573-269X
URV's Author/s: El Aroudi Chaoui, Abdelali
Keywords: Power electronic ac– Power electronic ac–dc pfc converter Piecewise smooth map Homoclinic bifurcation Chaotic attractor Bifurcations piecewise smooth map homoclinic bifurcation electronics dc pfc converter chaotic attractor
Abstract: © 2020, Springer Nature B.V. Recently, it has been shown that DC–AC and AC–DC power converters whose dynamics is governed by two vastly different frequencies lead to a special class of piecewise smooth models characterized by a practically unpredictable number of switching manifolds between partitions in the state space associated with different dynamics. In the previous publications, we have shown that transformations of chaotic attractors in such models can be caused by their interactions with unstable cycles occurring in the regions of the attractors associated with an ultra-low invariant density, which is beyond a practical observability in physical or numerical experiments. The appearance of such low-density regions has been explained by the so-called spiking phenomenon. In the present paper, we make the next step and ask the natural question what are the reasons behind the appearance of spikes. Applying a novel technique (cobweb diagrams for non-autonomous maps), we explain a connection between spiking and the presence of two vastly different frequencies.
Thematic Areas: Ocean engineering Mechanics Mechanical engineering Matemática / probabilidade e estatística Interdisciplinar Engineering, mechanical Engenharias iv Engenharias iii Engenharias ii Engenharias i Electrical and electronic engineering Control and systems engineering Astronomia / física Applied mathematics Aerospace engineering
licence for use: https://creativecommons.org/licenses/by/3.0/es/
ISSN: 0924-090X
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://link.springer.com/article/10.1007/s11071-020-06077-5
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Papper original source: Nonlinear Dynamics. 102 (4): 2905-2924
APA: Avrutin, Viktor; Zhusubaliyev, Zhanybai T; El Aroudi, Abdelali (2020). Non-visible transformations of chaotic attractors due to their ultra-low density in AC–DC power factor correction converters. Nonlinear Dynamics, 102(4), 2905-2924. DOI: 10.1007/s11071-020-06077-5
Article's DOI: 10.1007/s11071-020-06077-5
Entity: Universitat Rovira i Virgili
Journal publication year: 2020
Publication Type: Journal Publications
Repositori URV