Accurate Suspension Force Modeling and Its Control System Design Based on the Consideration of Degree-of-Freedom Interaction

In this study, an accurate suspension force modeling method for the magnetic bearings of flywheel batteries considering degree-of-freedom (DOF) interactions and their control system is proposed to solve the problem that the traditional flywheel battery suspension force model does not consider DOF in...

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Main Authors: Weiyu Zhang, Aojie Xu
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Actuators
Subjects:
Online Access:https://www.mdpi.com/2076-0825/14/2/61
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author Weiyu Zhang
Aojie Xu
author_facet Weiyu Zhang
Aojie Xu
author_sort Weiyu Zhang
collection DOAJ
description In this study, an accurate suspension force modeling method for the magnetic bearings of flywheel batteries considering degree-of-freedom (DOF) interactions and their control system is proposed to solve the problem that the traditional flywheel battery suspension force model does not consider DOF interactions, which makes the control system control effect poor. Firstly, according to the structural characteristics of the flywheel battery used, a suspension force model is established for the radial and axial magnetic bearings, which are most seriously interfered with by the torsional degrees of freedom of the flywheel battery. Next, by proposing DOF interaction factors, the complex changes due to DOF interactions are cleverly summarized into several interaction factors applied to the fundamental model to achieve accurate suspension force modeling considering DOF interactions. To better adapt the established accurate model and ensure precise control of the flywheel battery system under various working conditions, the firefly algorithm is employed to optimize the BP neural network (FA-BPNN). This optimization regulates the control system’s parameters, enabling the achievement of optimal control parameters in different scenarios and enhancing control efficiency. Compared to the flywheel battery controlled using the fundamental model, the radial and axial displacements are reduced by more than 30 percent and 20 percent, respectively, in the uphill condition using the accurate model with FA-BPNN.
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spelling doaj-art-51bccbd1f3ca4945a0f91d74dcb4012a2025-08-20T02:44:57ZengMDPI AGActuators2076-08252025-01-011426110.3390/act14020061Accurate Suspension Force Modeling and Its Control System Design Based on the Consideration of Degree-of-Freedom InteractionWeiyu Zhang0Aojie Xu1School of Electrical and Information Engineering, Jiangsu University, Xuefu Road 301, Zhenjiang 212013, ChinaSchool of Electrical and Information Engineering, Jiangsu University, Xuefu Road 301, Zhenjiang 212013, ChinaIn this study, an accurate suspension force modeling method for the magnetic bearings of flywheel batteries considering degree-of-freedom (DOF) interactions and their control system is proposed to solve the problem that the traditional flywheel battery suspension force model does not consider DOF interactions, which makes the control system control effect poor. Firstly, according to the structural characteristics of the flywheel battery used, a suspension force model is established for the radial and axial magnetic bearings, which are most seriously interfered with by the torsional degrees of freedom of the flywheel battery. Next, by proposing DOF interaction factors, the complex changes due to DOF interactions are cleverly summarized into several interaction factors applied to the fundamental model to achieve accurate suspension force modeling considering DOF interactions. To better adapt the established accurate model and ensure precise control of the flywheel battery system under various working conditions, the firefly algorithm is employed to optimize the BP neural network (FA-BPNN). This optimization regulates the control system’s parameters, enabling the achievement of optimal control parameters in different scenarios and enhancing control efficiency. Compared to the flywheel battery controlled using the fundamental model, the radial and axial displacements are reduced by more than 30 percent and 20 percent, respectively, in the uphill condition using the accurate model with FA-BPNN.https://www.mdpi.com/2076-0825/14/2/61flywheel batterysuspension force modelvehicle working conditionsFA-BPNN
spellingShingle Weiyu Zhang
Aojie Xu
Accurate Suspension Force Modeling and Its Control System Design Based on the Consideration of Degree-of-Freedom Interaction
Actuators
flywheel battery
suspension force model
vehicle working conditions
FA-BPNN
title Accurate Suspension Force Modeling and Its Control System Design Based on the Consideration of Degree-of-Freedom Interaction
title_full Accurate Suspension Force Modeling and Its Control System Design Based on the Consideration of Degree-of-Freedom Interaction
title_fullStr Accurate Suspension Force Modeling and Its Control System Design Based on the Consideration of Degree-of-Freedom Interaction
title_full_unstemmed Accurate Suspension Force Modeling and Its Control System Design Based on the Consideration of Degree-of-Freedom Interaction
title_short Accurate Suspension Force Modeling and Its Control System Design Based on the Consideration of Degree-of-Freedom Interaction
title_sort accurate suspension force modeling and its control system design based on the consideration of degree of freedom interaction
topic flywheel battery
suspension force model
vehicle working conditions
FA-BPNN
url https://www.mdpi.com/2076-0825/14/2/61
work_keys_str_mv AT weiyuzhang accuratesuspensionforcemodelinganditscontrolsystemdesignbasedontheconsiderationofdegreeoffreedominteraction
AT aojiexu accuratesuspensionforcemodelinganditscontrolsystemdesignbasedontheconsiderationofdegreeoffreedominteraction