A New Performance Optimization Method for Linear Motor Feeding System

The linear motor feeding system is a typical electromechanical coupling system. Conventional characteristic analyses of electromechanical coupling often overlook the influence of flexible deformation in critical components of the linear motor feeding system. Moreover, when employing genetic algorith...

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Main Authors: Zeqing Yang, Wei Cui, Wenbo Zhang, Zhaohua Wang, Bingyin Zhang, Yingshu Chen, Ning Hu, Xiaoyang Bi, Wei Hu
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Actuators
Subjects:
Online Access:https://www.mdpi.com/2076-0825/12/6/233
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author Zeqing Yang
Wei Cui
Wenbo Zhang
Zhaohua Wang
Bingyin Zhang
Yingshu Chen
Ning Hu
Xiaoyang Bi
Wei Hu
author_facet Zeqing Yang
Wei Cui
Wenbo Zhang
Zhaohua Wang
Bingyin Zhang
Yingshu Chen
Ning Hu
Xiaoyang Bi
Wei Hu
author_sort Zeqing Yang
collection DOAJ
description The linear motor feeding system is a typical electromechanical coupling system. Conventional characteristic analyses of electromechanical coupling often overlook the influence of flexible deformation in critical components of the linear motor feeding system. Moreover, when employing genetic algorithms to optimize servo system PID control parameters, slow convergence, nonconvergence, or premature convergence problems may arise. To address these issues, this paper proposes a new performance optimization method for a linear motor feeding system. The method uses a combination of “multi-body theory + finite element” to accurately account for the flexible deformation of critical components of the feeding system, establishes a rigid–flexible electromechanical coupling model of the linear motor feeding system, and optimizes the PID parameters of the established model with an improved adaptive genetic algorithm. Simulation results demonstrate that, when utilizing an adaptive genetic algorithm to optimize the rigid–flexible electromechanical coupling model and a control system model that disregards flexible body deformation, the system achieves stability in 0.02 s and 0.027 s with overshoots of 13% and 27%, respectively. These outcomes confirm the accuracy and importance of considering flexible body deformation in the optimization performance of a linear motor feeding system. At the same time, the time required to reach the steady state of the rigid–flexible electromechanical coupling model optimized by the adaptive genetic algorithm is shortened from 0.035 s to 0.02 s. The sinusoidal signal response curve of the optimized system does not exhibit any peak overshoot compared with that of the nonoptimized system, and the response speed is also faster. These results demonstrate the effectiveness of the rigid–flexible electromechanical coupling model optimized by the nonlinear adaptive genetic algorithm. The displacement response curves of the linear motor feeding system under different workbench loads are obtained through experiments and compared with those obtained from simulations to verify the established model and the correctness of the proposed method.
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spelling doaj.art-44124abfc1434883963fe685a57ef29c2023-11-18T08:48:39ZengMDPI AGActuators2076-08252023-06-0112623310.3390/act12060233A New Performance Optimization Method for Linear Motor Feeding SystemZeqing Yang0Wei Cui1Wenbo Zhang2Zhaohua Wang3Bingyin Zhang4Yingshu Chen5Ning Hu6Xiaoyang Bi7Wei Hu8School of Mechanical Engineering, Hebei University of Technology, Tianjin 300130, ChinaSchool of Mechanical Engineering, Hebei University of Technology, Tianjin 300130, ChinaSchool of Mechanical Engineering, Hebei University of Technology, Tianjin 300130, ChinaSchool of Mechanical Engineering, Hebei University of Technology, Tianjin 300130, ChinaSchool of Mechanical Engineering, Hebei University of Technology, Tianjin 300130, ChinaSchool of Mechanical Engineering, Hebei University of Technology, Tianjin 300130, ChinaSchool of Mechanical Engineering, Hebei University of Technology, Tianjin 300130, ChinaSchool of Mechanical Engineering, Hebei University of Technology, Tianjin 300130, ChinaWorld Transmission Technology (Tianjin), Intersection of Gaoxin Avenue and Jingming Road, Beichen Science Park, Tianjin 300130, ChinaThe linear motor feeding system is a typical electromechanical coupling system. Conventional characteristic analyses of electromechanical coupling often overlook the influence of flexible deformation in critical components of the linear motor feeding system. Moreover, when employing genetic algorithms to optimize servo system PID control parameters, slow convergence, nonconvergence, or premature convergence problems may arise. To address these issues, this paper proposes a new performance optimization method for a linear motor feeding system. The method uses a combination of “multi-body theory + finite element” to accurately account for the flexible deformation of critical components of the feeding system, establishes a rigid–flexible electromechanical coupling model of the linear motor feeding system, and optimizes the PID parameters of the established model with an improved adaptive genetic algorithm. Simulation results demonstrate that, when utilizing an adaptive genetic algorithm to optimize the rigid–flexible electromechanical coupling model and a control system model that disregards flexible body deformation, the system achieves stability in 0.02 s and 0.027 s with overshoots of 13% and 27%, respectively. These outcomes confirm the accuracy and importance of considering flexible body deformation in the optimization performance of a linear motor feeding system. At the same time, the time required to reach the steady state of the rigid–flexible electromechanical coupling model optimized by the adaptive genetic algorithm is shortened from 0.035 s to 0.02 s. The sinusoidal signal response curve of the optimized system does not exhibit any peak overshoot compared with that of the nonoptimized system, and the response speed is also faster. These results demonstrate the effectiveness of the rigid–flexible electromechanical coupling model optimized by the nonlinear adaptive genetic algorithm. The displacement response curves of the linear motor feeding system under different workbench loads are obtained through experiments and compared with those obtained from simulations to verify the established model and the correctness of the proposed method.https://www.mdpi.com/2076-0825/12/6/233linear motor feeding systemrigid–flexible electromechanical couplingperformance optimizationadaptive genetic algorithm
spellingShingle Zeqing Yang
Wei Cui
Wenbo Zhang
Zhaohua Wang
Bingyin Zhang
Yingshu Chen
Ning Hu
Xiaoyang Bi
Wei Hu
A New Performance Optimization Method for Linear Motor Feeding System
Actuators
linear motor feeding system
rigid–flexible electromechanical coupling
performance optimization
adaptive genetic algorithm
title A New Performance Optimization Method for Linear Motor Feeding System
title_full A New Performance Optimization Method for Linear Motor Feeding System
title_fullStr A New Performance Optimization Method for Linear Motor Feeding System
title_full_unstemmed A New Performance Optimization Method for Linear Motor Feeding System
title_short A New Performance Optimization Method for Linear Motor Feeding System
title_sort new performance optimization method for linear motor feeding system
topic linear motor feeding system
rigid–flexible electromechanical coupling
performance optimization
adaptive genetic algorithm
url https://www.mdpi.com/2076-0825/12/6/233
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