Control Performance, Stability Conditions, and Bifurcation Analysis of the Twelve-Pole Active Magnetic Bearings System

The active magnetic bearings system plays a vital role in high-speed rotors technology, where many research articles have discussed the nonlinear dynamics of different categories of this system such as the four-pole, six-pole, eight-pole, and sixteen-pole systems. Although the twelve-pole system has...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Sabry M. El-Shourbagy, Nasser A. Saeed, Magdi Kamel, Kamal R. Raslan, Mohamed K. Aboudaif, Jan Awrejcewicz
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	twelve-pole system proportional derivative controller Poincaré-map bifurcation diagram frequency spectrum stability Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/15884fd6df104db7b21c9ad4fc62e8aa
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:15884fd6df104db7b21c9ad4fc62e8aa
record_format	dspace
spelling	oai:doaj.org-article:15884fd6df104db7b21c9ad4fc62e8aa2021-11-25T16:39:07ZControl Performance, Stability Conditions, and Bifurcation Analysis of the Twelve-Pole Active Magnetic Bearings System10.3390/app1122108392076-3417https://doaj.org/article/15884fd6df104db7b21c9ad4fc62e8aa2021-11-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/22/10839https://doaj.org/toc/2076-3417The active magnetic bearings system plays a vital role in high-speed rotors technology, where many research articles have discussed the nonlinear dynamics of different categories of this system such as the four-pole, six-pole, eight-pole, and sixteen-pole systems. Although the twelve-pole system has many advantages over the eight-pole one (such as a negligible cross-coupling effect, low power consumption, better suspension behaviors, and high dynamic stiffness), the twelve-pole system oscillatory behaviors have not been studied before. Therefore, this article is assigned to explore the effect of the magneto-electro-mechanical nonlinearities on the oscillatory motion of the twelve-pole system controlled via a proportional derivative controller for the first time. The normalized equations of motion that govern the system vibrations are established by means of classical mechanics. Then, the averaging equations are extracted utilizing the asymptotic analysis. The influence of all system parameters on the steady-state oscillation amplitudes is explored. Stability charts in a two-dimensional space are constructed. The stable margin of both the system and control parameters is determined. The obtained investigations reveal that proportional gain plays a dominant role in reshaping the dynamics and motion bifurcation of the twelve-pole systems. In addition, it is found that stability charts of the system can be controlled by simply utilizing both the proportional and derivative gains. Moreover, the numerical simulations showed that the twelve-poles system can exhibit both quasiperiodic and chaotic oscillations besides the periodic motion depending on the control parameters’ magnitude.Sabry M. El-ShourbagyNasser A. SaeedMagdi KamelKamal R. RaslanMohamed K. AboudaifJan AwrejcewiczMDPI AGarticletwelve-pole systemproportional derivative controllerPoincaré-mapbifurcation diagramfrequency spectrumstabilityTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10839, p 10839 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	twelve-pole system proportional derivative controller Poincaré-map bifurcation diagram frequency spectrum stability Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
spellingShingle	twelve-pole system proportional derivative controller Poincaré-map bifurcation diagram frequency spectrum stability Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Sabry M. El-Shourbagy Nasser A. Saeed Magdi Kamel Kamal R. Raslan Mohamed K. Aboudaif Jan Awrejcewicz Control Performance, Stability Conditions, and Bifurcation Analysis of the Twelve-Pole Active Magnetic Bearings System
description	The active magnetic bearings system plays a vital role in high-speed rotors technology, where many research articles have discussed the nonlinear dynamics of different categories of this system such as the four-pole, six-pole, eight-pole, and sixteen-pole systems. Although the twelve-pole system has many advantages over the eight-pole one (such as a negligible cross-coupling effect, low power consumption, better suspension behaviors, and high dynamic stiffness), the twelve-pole system oscillatory behaviors have not been studied before. Therefore, this article is assigned to explore the effect of the magneto-electro-mechanical nonlinearities on the oscillatory motion of the twelve-pole system controlled via a proportional derivative controller for the first time. The normalized equations of motion that govern the system vibrations are established by means of classical mechanics. Then, the averaging equations are extracted utilizing the asymptotic analysis. The influence of all system parameters on the steady-state oscillation amplitudes is explored. Stability charts in a two-dimensional space are constructed. The stable margin of both the system and control parameters is determined. The obtained investigations reveal that proportional gain plays a dominant role in reshaping the dynamics and motion bifurcation of the twelve-pole systems. In addition, it is found that stability charts of the system can be controlled by simply utilizing both the proportional and derivative gains. Moreover, the numerical simulations showed that the twelve-poles system can exhibit both quasiperiodic and chaotic oscillations besides the periodic motion depending on the control parameters’ magnitude.
format	article
author	Sabry M. El-Shourbagy Nasser A. Saeed Magdi Kamel Kamal R. Raslan Mohamed K. Aboudaif Jan Awrejcewicz
author_facet	Sabry M. El-Shourbagy Nasser A. Saeed Magdi Kamel Kamal R. Raslan Mohamed K. Aboudaif Jan Awrejcewicz
author_sort	Sabry M. El-Shourbagy
title	Control Performance, Stability Conditions, and Bifurcation Analysis of the Twelve-Pole Active Magnetic Bearings System
title_short	Control Performance, Stability Conditions, and Bifurcation Analysis of the Twelve-Pole Active Magnetic Bearings System
title_full	Control Performance, Stability Conditions, and Bifurcation Analysis of the Twelve-Pole Active Magnetic Bearings System
title_fullStr	Control Performance, Stability Conditions, and Bifurcation Analysis of the Twelve-Pole Active Magnetic Bearings System
title_full_unstemmed	Control Performance, Stability Conditions, and Bifurcation Analysis of the Twelve-Pole Active Magnetic Bearings System
title_sort	control performance, stability conditions, and bifurcation analysis of the twelve-pole active magnetic bearings system
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/15884fd6df104db7b21c9ad4fc62e8aa
work_keys_str_mv	AT sabrymelshourbagy controlperformancestabilityconditionsandbifurcationanalysisofthetwelvepoleactivemagneticbearingssystem AT nasserasaeed controlperformancestabilityconditionsandbifurcationanalysisofthetwelvepoleactivemagneticbearingssystem AT magdikamel controlperformancestabilityconditionsandbifurcationanalysisofthetwelvepoleactivemagneticbearingssystem AT kamalrraslan controlperformancestabilityconditionsandbifurcationanalysisofthetwelvepoleactivemagneticbearingssystem AT mohamedkaboudaif controlperformancestabilityconditionsandbifurcationanalysisofthetwelvepoleactivemagneticbearingssystem AT janawrejcewicz controlperformancestabilityconditionsandbifurcationanalysisofthetwelvepoleactivemagneticbearingssystem
_version_	1718413063092174848

Control Performance, Stability Conditions, and Bifurcation Analysis of the Twelve-Pole Active Magnetic Bearings System

Ejemplares similares