Bifurcation and chaos behaviors of Lyapunov function controlled PWM boost converter

In this paper, we have derived the mathematical model of the Lyapunov function-based boost converter, which is essentially a voltage and current double-loop controller, and studied the stability of the closed-loop modulation system. The analysis shows that the Lyapunov function controlled boost conv...

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Autores principales:	Xinbing Chen, Xiaoli Long, Wei Hu, Binsheng Xie
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Lyapunov function Boost converter Bifurcation Chaos Electrical engineering. Electronics. Nuclear engineering TK1-9971
Acceso en línea:	https://doaj.org/article/da0568e4eceb49b09ae03352210d21ca
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spelling	oai:doaj.org-article:da0568e4eceb49b09ae03352210d21ca2021-11-26T04:33:49ZBifurcation and chaos behaviors of Lyapunov function controlled PWM boost converter2352-484710.1016/j.egyr.2021.08.060https://doaj.org/article/da0568e4eceb49b09ae03352210d21ca2021-11-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2352484721006636https://doaj.org/toc/2352-4847In this paper, we have derived the mathematical model of the Lyapunov function-based boost converter, which is essentially a voltage and current double-loop controller, and studied the stability of the closed-loop modulation system. The analysis shows that the Lyapunov function controlled boost converter is not globally asymptotically stable when the switching frequency is limited. We also used a Monodromy matrix to analyze the nonlinear dynamic behavior of the system. It is found that with the decrease of the reference current, the Monodromy matrix eigen multiplier gradually jumps from inside to the outside on the unit circle, and correspondingly, the converter will move from the period-one steady state to period-doubling state, and then period-doubling state to the chaotic state. Simulation and experimental results show that the theoretical analysis is correct.Xinbing ChenXiaoli LongWei HuBinsheng XieElsevierarticleLyapunov functionBoost converterBifurcationChaosElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENEnergy Reports, Vol 7, Iss , Pp 163-168 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Lyapunov function Boost converter Bifurcation Chaos Electrical engineering. Electronics. Nuclear engineering TK1-9971
spellingShingle	Lyapunov function Boost converter Bifurcation Chaos Electrical engineering. Electronics. Nuclear engineering TK1-9971 Xinbing Chen Xiaoli Long Wei Hu Binsheng Xie Bifurcation and chaos behaviors of Lyapunov function controlled PWM boost converter
description	In this paper, we have derived the mathematical model of the Lyapunov function-based boost converter, which is essentially a voltage and current double-loop controller, and studied the stability of the closed-loop modulation system. The analysis shows that the Lyapunov function controlled boost converter is not globally asymptotically stable when the switching frequency is limited. We also used a Monodromy matrix to analyze the nonlinear dynamic behavior of the system. It is found that with the decrease of the reference current, the Monodromy matrix eigen multiplier gradually jumps from inside to the outside on the unit circle, and correspondingly, the converter will move from the period-one steady state to period-doubling state, and then period-doubling state to the chaotic state. Simulation and experimental results show that the theoretical analysis is correct.
format	article
author	Xinbing Chen Xiaoli Long Wei Hu Binsheng Xie
author_facet	Xinbing Chen Xiaoli Long Wei Hu Binsheng Xie
author_sort	Xinbing Chen
title	Bifurcation and chaos behaviors of Lyapunov function controlled PWM boost converter
title_short	Bifurcation and chaos behaviors of Lyapunov function controlled PWM boost converter
title_full	Bifurcation and chaos behaviors of Lyapunov function controlled PWM boost converter
title_fullStr	Bifurcation and chaos behaviors of Lyapunov function controlled PWM boost converter
title_full_unstemmed	Bifurcation and chaos behaviors of Lyapunov function controlled PWM boost converter
title_sort	bifurcation and chaos behaviors of lyapunov function controlled pwm boost converter
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/da0568e4eceb49b09ae03352210d21ca
work_keys_str_mv	AT xinbingchen bifurcationandchaosbehaviorsoflyapunovfunctioncontrolledpwmboostconverter AT xiaolilong bifurcationandchaosbehaviorsoflyapunovfunctioncontrolledpwmboostconverter AT weihu bifurcationandchaosbehaviorsoflyapunovfunctioncontrolledpwmboostconverter AT binshengxie bifurcationandchaosbehaviorsoflyapunovfunctioncontrolledpwmboostconverter
_version_	1718409871293939712

Bifurcation and chaos behaviors of Lyapunov function controlled PWM boost converter

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