Modelling of SEPIC, Ćuk and Zeta Converters in Discontinuous Conduction Mode and Performance Evaluation

High-order switched DC-DC converters, such as SEPIC, Ćuk and Zeta, are classic energy processing elements, which can be used in a wide variety of applications due to their capacity to step-up and/or step-down voltage characteristic. In this paper, a novel methodology for analyzing the previous conve...

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Autores principales:	Emerson Madrid, Duberney Murillo-Yarce, Carlos Restrepo, Javier Muñoz, Roberto Giral
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	discontinuous conduction mode full-order dynamic models high-order switched converters Chemical technology TP1-1185
Acceso en línea:	https://doaj.org/article/592ba4bb03c2497a90ce0951c75606b9
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spelling	oai:doaj.org-article:592ba4bb03c2497a90ce0951c75606b92021-11-25T18:56:24ZModelling of SEPIC, Ćuk and Zeta Converters in Discontinuous Conduction Mode and Performance Evaluation10.3390/s212274341424-8220https://doaj.org/article/592ba4bb03c2497a90ce0951c75606b92021-11-01T00:00:00Zhttps://www.mdpi.com/1424-8220/21/22/7434https://doaj.org/toc/1424-8220High-order switched DC-DC converters, such as SEPIC, Ćuk and Zeta, are classic energy processing elements, which can be used in a wide variety of applications due to their capacity to step-up and/or step-down voltage characteristic. In this paper, a novel methodology for analyzing the previous converters operating in discontinuous conduction mode (DCM) is applied to obtain full-order dynamic models. The analysis is based on the fact that inductor currents have three differentiated operating sub-intervals characterized by a third one in which both currents become equal, which implies that the current flowing through the diode is zero (DCM). Under a small voltage ripple hypothesis, the currents of all three converters have similar current piecewise linear shapes that allow us to use a graphical method based on the triangular shape of the diode current to obtain the respective non-linear average models. The models’ linearization around their steady-state operating points yields full-order small-signal models that reproduce accurately the dynamic behavior of the corresponding switched model. The proposed methodology is applicable to the proposed converters and has also been extended to more complex topologies with magnetic coupling between inductors and/or an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>R</mi><mi>C</mi></mrow></semantics></math></inline-formula> damping network in parallel with the intermediate capacitor. Several tests were carried out using simulation, hardware-in-the-loop, and using an experimental prototype. All the results validate the theoretical models.Emerson MadridDuberney Murillo-YarceCarlos RestrepoJavier MuñozRoberto GiralMDPI AGarticlediscontinuous conduction modefull-order dynamic modelshigh-order switched convertersChemical technologyTP1-1185ENSensors, Vol 21, Iss 7434, p 7434 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	discontinuous conduction mode full-order dynamic models high-order switched converters Chemical technology TP1-1185
spellingShingle	discontinuous conduction mode full-order dynamic models high-order switched converters Chemical technology TP1-1185 Emerson Madrid Duberney Murillo-Yarce Carlos Restrepo Javier Muñoz Roberto Giral Modelling of SEPIC, Ćuk and Zeta Converters in Discontinuous Conduction Mode and Performance Evaluation
description	High-order switched DC-DC converters, such as SEPIC, Ćuk and Zeta, are classic energy processing elements, which can be used in a wide variety of applications due to their capacity to step-up and/or step-down voltage characteristic. In this paper, a novel methodology for analyzing the previous converters operating in discontinuous conduction mode (DCM) is applied to obtain full-order dynamic models. The analysis is based on the fact that inductor currents have three differentiated operating sub-intervals characterized by a third one in which both currents become equal, which implies that the current flowing through the diode is zero (DCM). Under a small voltage ripple hypothesis, the currents of all three converters have similar current piecewise linear shapes that allow us to use a graphical method based on the triangular shape of the diode current to obtain the respective non-linear average models. The models’ linearization around their steady-state operating points yields full-order small-signal models that reproduce accurately the dynamic behavior of the corresponding switched model. The proposed methodology is applicable to the proposed converters and has also been extended to more complex topologies with magnetic coupling between inductors and/or an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>R</mi><mi>C</mi></mrow></semantics></math></inline-formula> damping network in parallel with the intermediate capacitor. Several tests were carried out using simulation, hardware-in-the-loop, and using an experimental prototype. All the results validate the theoretical models.
format	article
author	Emerson Madrid Duberney Murillo-Yarce Carlos Restrepo Javier Muñoz Roberto Giral
author_facet	Emerson Madrid Duberney Murillo-Yarce Carlos Restrepo Javier Muñoz Roberto Giral
author_sort	Emerson Madrid
title	Modelling of SEPIC, Ćuk and Zeta Converters in Discontinuous Conduction Mode and Performance Evaluation
title_short	Modelling of SEPIC, Ćuk and Zeta Converters in Discontinuous Conduction Mode and Performance Evaluation
title_full	Modelling of SEPIC, Ćuk and Zeta Converters in Discontinuous Conduction Mode and Performance Evaluation
title_fullStr	Modelling of SEPIC, Ćuk and Zeta Converters in Discontinuous Conduction Mode and Performance Evaluation
title_full_unstemmed	Modelling of SEPIC, Ćuk and Zeta Converters in Discontinuous Conduction Mode and Performance Evaluation
title_sort	modelling of sepic, ćuk and zeta converters in discontinuous conduction mode and performance evaluation
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/592ba4bb03c2497a90ce0951c75606b9
work_keys_str_mv	AT emersonmadrid modellingofsepiccukandzetaconvertersindiscontinuousconductionmodeandperformanceevaluation AT duberneymurilloyarce modellingofsepiccukandzetaconvertersindiscontinuousconductionmodeandperformanceevaluation AT carlosrestrepo modellingofsepiccukandzetaconvertersindiscontinuousconductionmodeandperformanceevaluation AT javiermunoz modellingofsepiccukandzetaconvertersindiscontinuousconductionmodeandperformanceevaluation AT robertogiral modellingofsepiccukandzetaconvertersindiscontinuousconductionmodeandperformanceevaluation
_version_	1718410523990556672

Modelling of SEPIC, Ćuk and Zeta Converters in Discontinuous Conduction Mode and Performance Evaluation

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