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Keywords = direct-drive servo

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26 pages, 266 KB  
Review
Research Advances in the Design and Control Technologies of Electric Spindle Motors for CNC Machine Tools
by Jinhua Liang, Haiping Xu, Fei Chen, Wei Liu and Peng Zhou
Energies 2025, 18(23), 6243; https://doi.org/10.3390/en18236243 - 28 Nov 2025
Viewed by 401
Abstract
The electric spindle serves as a critical component in enabling a highly dynamic response, stable torque output, and precise motion control for the main cutting operations of CNC machine tools. The design precision and control performance of its drive motor directly influence the [...] Read more.
The electric spindle serves as a critical component in enabling a highly dynamic response, stable torque output, and precise motion control for the main cutting operations of CNC machine tools. The design precision and control performance of its drive motor directly influence the geometric accuracy, surface quality, and overall machining efficiency of the workpiece, thereby determining the comprehensive performance of advanced CNC systems. This paper begins with a systematic review of the global industrial layout of CNC machine tool and electric spindle manufacturers, highlighting regional clustering patterns and technological development trends across key manufacturing regions. Subsequently, it classifies and elaborates on the differentiated technical requirements for the electric spindle motor in terms of wide-speed-range servo capability, high-efficiency operation, adaptability to high-speed and high-power cutting loads, and precision maintenance under high-speed conditions, based on the process characteristics of different types of CNC machine tools. A comprehensive overview of the current state of research is provided with respect to electric spindle motor design and control technologies. Finally, forward-looking perspectives are presented on future development directions, particularly in the areas of multi-physics coupling co-design and the integration of intelligent control algorithms, aiming to offer a solid theoretical foundation and strategic guidance for the advancement and engineering application of high-performance electric spindles. Full article
(This article belongs to the Special Issue Advances in Permanent Magnet Motor and Motor Control)
21 pages, 2556 KB  
Article
Multi-Objective Optimization of Torque Motor Structural Parameters in Direct-Drive Valves Based on Genetic Algorithm
by Jian Zhang, Qiusong Liang, Jipeng Sun, Baosen Yan, Zhidong Hu and Wei Sun
Actuators 2025, 14(11), 527; https://doi.org/10.3390/act14110527 - 29 Oct 2025
Viewed by 370
Abstract
This paper presents a genetic algorithm (GA) approach to optimize key structural parameters of the torque motor used in a direct-drive slide knife gate valve. The optimization aims at enhancing the performance of the torque motor by improving the output torque, minimizing the [...] Read more.
This paper presents a genetic algorithm (GA) approach to optimize key structural parameters of the torque motor used in a direct-drive slide knife gate valve. The optimization aims at enhancing the performance of the torque motor by improving the output torque, minimizing the overshoot, and reducing the response time. A mathematical model based on these performance indicators is formulated to guide the optimization process. Compared to the original design, the optimized design is shown to achieve a 26.4% increase in output torque, a 0.14 ms reduction in response time, and a 9% decrease in overshoot. Additionally, AMESim simulations confirm that the optimized motor significantly improves valve control accuracy, dynamic response, and flow stability, while also decreasing sensitivity to pressure fluctuations under high-current conditions. Finally, experimental results are provided to corroborate the simulation findings, validating the accuracy and effectiveness of the proposed optimization methodology. This study provides novel theoretical insights and practical guidance for the design of high-performance torque motors used in direct-drive electro-hydraulic servo valves within aerospace applications. Full article
(This article belongs to the Special Issue Design, Hydrodynamics, and Control of Valve Systems)
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24 pages, 7023 KB  
Article
High-Precision Low-Speed Measurement for Permanent Magnet Synchronous Motors Using an Improved Extended State Observer
by Runze Ji, Kai Liu, Yingsong Wang and Rana Md Sohel
World Electr. Veh. J. 2025, 16(11), 595; https://doi.org/10.3390/wevj16110595 - 28 Oct 2025
Viewed by 572
Abstract
High-precision speed measurement at low speeds in PMSM drives is hindered by encoder quantization noise. This paper proposes an enhanced extended state observer (ESO)-based method to overcome limitations of conventional approaches such as direct differentiation with the low-pass filter (high noise), the phase-locked [...] Read more.
High-precision speed measurement at low speeds in PMSM drives is hindered by encoder quantization noise. This paper proposes an enhanced extended state observer (ESO)-based method to overcome limitations of conventional approaches such as direct differentiation with the low-pass filter (high noise), the phase-locked loop (PLL)-based method (limited dynamic response), and standard ESO (sensitivity to disturbance). The improved ESO incorporates reference torque feedforward and disturbance feedback, significantly suppressing noise and enhancing robustness. Simulations and experiments demonstrate that the proposed method reduces steady-state speed fluctuation by up to 42% compared to standard ESO and over 90.1% relative to differentiation-based methods, while also improving transient performance. It exhibits superior accuracy and stability across various low-speed conditions, offering a practical solution for high-performance servo applications. Full article
(This article belongs to the Section Propulsion Systems and Components)
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31 pages, 12050 KB  
Article
Design, Implementation, and Experimental Evaluation of a 6-DoF Parallel Manipulator Driven by Pneumatic Muscles
by Dawid Sebastian Pietrala, Pawel Andrzej Laski, Krzysztof Borkowski and Jaroslaw Zwierzchowski
Appl. Sci. 2025, 15(18), 10126; https://doi.org/10.3390/app151810126 - 17 Sep 2025
Viewed by 658
Abstract
This paper presents the design, implementation, and experimental results of a six-degree-of-freedom Delta-type parallel manipulator, in which all actuators were realized using proprietary pneumatic muscles. The objective of the study was to evaluate the suitability of this type of actuator for applications in [...] Read more.
This paper presents the design, implementation, and experimental results of a six-degree-of-freedom Delta-type parallel manipulator, in which all actuators were realized using proprietary pneumatic muscles. The objective of the study was to evaluate the suitability of this type of actuator for applications in parallel robotics, with particular attention to their dynamic properties, nonlinearities, and potential limitations. In the first part of the article, the details of the manipulator’s construction and the kinematic model, covering both the forward and inverse kinematics, are presented. The control system was based on antagonistic pairs of pneumatic muscles forming servo drives responsible for the motion of individual arms. The experimental investigations were focused on analyzing trajectory-tracking accuracy and positioning repeatability, both in unloaded conditions and under additional payload applied to the end-effector. The results indicate that positioning errors for simple trajectories were generally below 1 mm, whereas for complex trajectories and under load, they increased, particularly during changes in motion direction, which can be attributed to friction and hysteresis phenomena in the muscles. Repeatability tests confirmed the ability of the manipulator to repeatedly reach the desired positions with small deviations. The analysis carried out confirms that pneumatic muscles can be effectively applied to drive parallel manipulators, offering advantageous features such as high power density and low mass. At the same time, the need for further research on nonlinearity compensation and durability enhancement was demonstrated. Full article
(This article belongs to the Section Robotics and Automation)
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17 pages, 8082 KB  
Article
NPS6D100—A 6D Nanopositioning System with Sub-10 nm Performance in a Ø100 mm × 10 mm Workspace
by Steffen Hesse, Alex Huaman, Michael Katzschmann and Ludwig Herzog
Actuators 2025, 14(8), 361; https://doi.org/10.3390/act14080361 - 22 Jul 2025
Viewed by 639
Abstract
This paper presents the development of a compact nanopositioning stage with long-range capabilities and six-degree-of-freedom (DOF) closed-loop control. The system, referred to as NPS6D100, provides Ø100 mm planar and 10 mm vertical travel range while maintaining direct force transfer to the moving platform [...] Read more.
This paper presents the development of a compact nanopositioning stage with long-range capabilities and six-degree-of-freedom (DOF) closed-loop control. The system, referred to as NPS6D100, provides Ø100 mm planar and 10 mm vertical travel range while maintaining direct force transfer to the moving platform (or slider) in all DOFs. Based on an integrated planar direct drive concept, the system is enhanced by precise vertical actuation and full 6D output feedback control. The mechanical structure, drive architecture, guiding, and measurement subsystems are described in detail, along with experimental results that confirm sub-10 nm servo errors under constant setpoint operation and in synchronized multi-axis motion scenarios. With its scalable and low-disturbance design, the NPS6D100 is well suited as a nanopositioning platform for sub-10 nm applications in nanoscience and precision metrology. Full article
(This article belongs to the Special Issue Recent Developments in Precision Actuation Technologies)
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32 pages, 5640 KB  
Article
Computational Analysis of Aerodynamic Blade Load Transfer to the Powertrain of a Direct-Drive Multi-MW Wind Turbine
by Magnus Bichan, Pablo Jaen-Sola, Firdaus Muhammad-Sukki and Nazmi Sellami
Machines 2025, 13(7), 575; https://doi.org/10.3390/machines13070575 - 2 Jul 2025
Viewed by 850
Abstract
This paper details the development of a full turbine model and ensuing aero-servo-elastic analysis of the International Energy Agency’s 15MW Reference Wind Turbine. This model provides the means to obtain realistic turbine performance data, of which normal and tangential blade loads are extracted [...] Read more.
This paper details the development of a full turbine model and ensuing aero-servo-elastic analysis of the International Energy Agency’s 15MW Reference Wind Turbine. This model provides the means to obtain realistic turbine performance data, of which normal and tangential blade loads are extracted and applied to a simplified drivetrain model developed expressly to quantify the shaft eccentricities caused by aerodynamic loading, thus determining the impact of aerodynamic loading on the generator structure. During this process, a method to determine main bearing stiffness values is presented, and values for the IEA-15MW-RWT obtained. It was found that wind speeds in the region of turbine cut-out induce shaft eccentricities as high as 56%, and that tangential loading has a significant contribution to shaft eccentricities, increasing deflection at the generator area by as much as 106% at high windspeeds, necessitating its inclusion. During a subsequent generator structure optimisation, the shaft eccentricities caused by the loading scenarios examined in this paper were found to increase the necessary mass of the rotor structure by 40%, to meet the reduced airgap clearance. Full article
(This article belongs to the Section Electrical Machines and Drives)
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24 pages, 7785 KB  
Article
Adaptive Disturbance Rejection Motion Control of Direct-Drive Systems with Adjustable Damping Ratio Based on Zeta-Backstepping
by Zhongjin Zhang, Zhitai Liu, Weiyang Lin and Wei Cheng
Biomimetics 2024, 9(12), 780; https://doi.org/10.3390/biomimetics9120780 - 21 Dec 2024
Cited by 1 | Viewed by 1352
Abstract
Direct-drive servo systems are extensively applied in biomimetic robotics and other bionic applications, but their performance is susceptible to uncertainties and disturbances. This paper proposes an adaptive disturbance rejection Zeta-backstepping control scheme with adjustable damping ratios to enhance system robustness and precision. An [...] Read more.
Direct-drive servo systems are extensively applied in biomimetic robotics and other bionic applications, but their performance is susceptible to uncertainties and disturbances. This paper proposes an adaptive disturbance rejection Zeta-backstepping control scheme with adjustable damping ratios to enhance system robustness and precision. An iron-core permanent magnet linear synchronous motor (PMLSM) was employed as the experimental platform for the development of a dynamic model that incorporates compensation for friction and cogging forces. To address model parameter uncertainties, an indirect parameter adaptation strategy based on a recursive least squares algorithm was introduced. It updates parameters based on the system state instead of output error, ensuring robust parameter convergence. An integral sliding mode observer (ISMO) was constructed to estimate and compensate for residual uncertainties, achieving finite-time state estimation. The proposed Zeta-backstepping controller enables adjustable damping ratios through parameterized control laws, offering flexibility in achieving desired dynamic performance. System stability and bounded tracking performance were validated via a second-order Lyapunov function analysis. Experimental results on a real PMLSM platform demonstrated that, while achieving adjustable damping ratio dynamic characteristics, there is a significant improvement in tracking accuracy and disturbance suppression. This underscores the scheme’s potential for advancing precision control in biomimetic robotics and other direct-drive system applications. Full article
(This article belongs to the Special Issue Recent Advances in Robotics and Biomimetics)
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20 pages, 9194 KB  
Article
Measuring the Dimension Accuracy of Products Created by 3D Printing Technology with the Designed Measuring System
by Martin Pollák, Dominik Sabol and Karol Goryl
Machines 2024, 12(12), 884; https://doi.org/10.3390/machines12120884 - 5 Dec 2024
Cited by 3 | Viewed by 1816
Abstract
The integration of precision measurement techniques using depth scanners with PLC control provides new possibilities for increasing the efficiency and quality of measuring 3D printed products. Comprehensive analysis of measurements in combination with advanced algorithms can provide more accurate dimensional characteristics and the [...] Read more.
The integration of precision measurement techniques using depth scanners with PLC control provides new possibilities for increasing the efficiency and quality of measuring 3D printed products. Comprehensive analysis of measurements in combination with advanced algorithms can provide more accurate dimensional characteristics and the prediction of defects. The overall goal of such systems is to assess the accuracy and reliability of products manufactured by 3D printing technology, which will fundamentally affect their increased use in industrial sectors. The article describes the design and implementation of a control system for a servo drive used in the proposed solution of a measuring system with a depth sensor, primarily oriented to the control and precise measurement of manufactured products by 3D printing technology. The entire program plan is implemented through the CCW software ver. 12 (Connected Component Workbench) and micro motion control devices. The connection of the servo drive itself is realized by combinations of the servo drive with the HMI (Human Machine Interface) panel and the servo drive with the PLC controller. It is the PLC controller that is subject to the created program in the CCW software, which can be used to control the direction, position, speed, and acceleration of the servomotor. The result is the design of a measurement scanning system with precise motion control through a connected servo drive intended for industrial applications of object error detection and measurement of dimension accuracy. Full article
(This article belongs to the Section Advanced Manufacturing)
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22 pages, 13437 KB  
Article
A Novel Approach to Ripple Cancellation for Low-Speed Direct-Drive Servo in Aerospace Applications
by Xin Zhang, Ziting Wang, Chaoping Bai and Shuai Zhang
Aerospace 2024, 11(10), 834; https://doi.org/10.3390/aerospace11100834 - 10 Oct 2024
Cited by 3 | Viewed by 1488
Abstract
Low-frequency harmonic interference is an important factor that affects the performance of low-speed direct-drive servo systems. In order to improve the low-speed smoothness of direct-drive servo, firstly, the causes of the first and second harmonics of electromagnetic torque and tooth harmonics are analyzed [...] Read more.
Low-frequency harmonic interference is an important factor that affects the performance of low-speed direct-drive servo systems. In order to improve the low-speed smoothness of direct-drive servo, firstly, the causes of the first and second harmonics of electromagnetic torque and tooth harmonics are analyzed based on the mathematical model of PMSM (permanent magnet synchronous motor) and the principle of vector control. Accordingly, the CC-EUMA (Electrical angle Update and Mechanical angle Assignment algorithm for Center Current) and SL-DQPR (Double Quasi-Proportional Resonant control algorithm for Speed Loop) algorithm are proposed. Second, to confirm the algorithm’s efficacy, the harmonic environment is simulated using Matlab/Simulink, and the built harmonic suppression module is simulated and analyzed. Then, a miniaturized, fully digital drive control system is built based on the architecture of the Zynq-7000 series chips. Finally, the proposed suppression algorithm is verified at the board level. According to the experimental results, the speed ripple decreases to roughly one-third of its initial value after the algorithm is included. This effectively delays the speed ripple’s low-speed deterioration and provides a new idea for the low-speed control of the space direct-drive servo system. Full article
(This article belongs to the Special Issue Aircraft Electric Power System: Design, Control, and Maintenance)
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17 pages, 7044 KB  
Article
A Study of Friction Nonlinearity and Compensation for Turntable Servo Systems
by Minjie Yan, Kai Liu, Rana Md Sohel, Runze Ji and Hairong Ye
Appl. Sci. 2024, 14(17), 8002; https://doi.org/10.3390/app14178002 - 7 Sep 2024
Cited by 4 | Viewed by 1872
Abstract
In view of the worse dynamic performance and steady-state accuracy caused by nonlinear friction in turntable servo systems, challenges are posed in precise positioning tasks. However, most of the existing research ignores the effect of friction on system performance. Therefore, it is of [...] Read more.
In view of the worse dynamic performance and steady-state accuracy caused by nonlinear friction in turntable servo systems, challenges are posed in precise positioning tasks. However, most of the existing research ignores the effect of friction on system performance. Therefore, it is of great significance to analyze the nonlinear characteristics of the transmission mechanism and study compensation strategies for improving the control quality of non-direct drive turntable servo systems. Therefore, an improved active disturbance rejection control (ADRC) based on state feedback compensation is proposed in this paper to optimize the accuracy of the turntable servo system and improve the robustness of the system under nonlinear friction conditions. Firstly, friction is modeled and analyzed through offline identification, which is the basis for nonlinear friction compensation. Subsequently, the two methods of friction compensation are compared. Since feedforward compensation is prone to under-compensation and over-compensation, it is highly dependent on the parameters, while the traditional ADRC compensation method has poor dynamic performance under gap conditions. Therefore, the advantages of ADRC and state feedback are combined together to reduce the steady-state error and optimize the control performance of the system. Lastly, the effectiveness of the proposed compensation method is verified and compared through simulations and experiments. The method is able to comprehensively compensate the gap and friction nonlinearities, and the experimental steady-state error is reduced from 0.55° to 1/3 (0.19°), which improves the load-side positioning accuracy. Finally, a conclusion can be drawn that the new compensation method can improve the parameter adjustability, speed estimation precision, and system robustness. Full article
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16 pages, 14894 KB  
Article
NPS6D200—A Long Range Nanopositioning Stage with 6D Closed Loop Control
by Steffen Hesse, Alex Huaman, Michael Katzschmann, Bianca Leistritz and Ludwig Herzog
Appl. Sci. 2024, 14(16), 6972; https://doi.org/10.3390/app14166972 - 8 Aug 2024
Cited by 4 | Viewed by 2608
Abstract
This work presents the new development of a nanopositioning machine for a large operating range. The machine, called NPS6D200, provides Ø200 mm planar and 25 mm vertical travel range and applies a 6D closed loop control with all drive forces applied [...] Read more.
This work presents the new development of a nanopositioning machine for a large operating range. The machine, called NPS6D200, provides Ø200 mm planar and 25 mm vertical travel range and applies a 6D closed loop control with all drive forces applied directly to the same moving part. The stage architecture evolves from an integrated planar direct drive which is extended by high precision vertical positioning capability. The setup of the machine and the characteristics of the different subsystems are presented together with investigations into the positioning performance that is achieved with the NPS6D200. In constant setpoint operation as well as in synchronized multiaxial motion tasks over three orders of magnitude, the system shows servo errors only in the low nanometer range and proves suitable as positioning platform for nanoscience applications. Full article
(This article belongs to the Topic Innovation, Communication and Engineering)
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5 pages, 647 KB  
Proceeding Paper
Aero-Servo-Elastic Simulation of the International Energy Agency’s 15MW Reference Wind Turbine for Direct-Drive Generator Integrity Modelling
by Magnus Bichan, Pablo Jaen-Sola, Nazmi Sellami and Firdaus Muhammad-Sukki
Eng. Proc. 2024, 71(1), 8; https://doi.org/10.3390/engproc2024071008 - 31 Jul 2024
Cited by 1 | Viewed by 1226
Abstract
This paper presents the development of a full turbine model and subsequent aero-servo-elastic simulation of the IEA 15MW Reference Wind Turbine, such that aerodynamic loads can be obtained and then applied to a simplified drivetrain in Finite-Element Analysis. This approach facilitates the quantification, [...] Read more.
This paper presents the development of a full turbine model and subsequent aero-servo-elastic simulation of the IEA 15MW Reference Wind Turbine, such that aerodynamic loads can be obtained and then applied to a simplified drivetrain in Finite-Element Analysis. This approach facilitates the quantification, through a computationally efficient method, of airgap deflections within the direct-drive generator caused by the shaft eccentricity that arises from aerodynamic loads. Shaft deflections were found to be higher under rated wind speeds than higher operating speeds, and the aero-servo-elastic model presented here performs favourably compared to later-published models. Full article
(This article belongs to the Proceedings of The 4th Annual Conference Solar and Wind Power)
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23 pages, 25132 KB  
Article
A Gap Nonlinearity Compensation Strategy for Non-Direct-Drive Servo Systems
by Bo Wang, Runze Ji, Chengpeng Zhou, Rana M. Sohel, Kai Liu, Wei Hua and Hairong Ye
Energies 2024, 17(14), 3582; https://doi.org/10.3390/en17143582 - 21 Jul 2024
Viewed by 1329
Abstract
In this paper, a gap nonlinear compensation strategy is proposed for the full closed-loop control structure of non-direct-drive servo motor systems. Firstly, an improved deadband model containing the initial value of the gap is proposed, and two gap amplitude identification methods, namely, incremental [...] Read more.
In this paper, a gap nonlinear compensation strategy is proposed for the full closed-loop control structure of non-direct-drive servo motor systems. Firstly, an improved deadband model containing the initial value of the gap is proposed, and two gap amplitude identification methods, namely, incremental torque and velocity difference integral, are compared. Then, for the full closed-loop structure, based on the describing function and the stability theory of the nonlinear system, the limit-loop oscillating frequency and the influencing factors are predicted, which are related to the system control stiffness and independent of the gap amplitude; finally, the state-feedback control is proposed, and the feedback coefficients are designed by using the pole configuration, making the system a pseudo-linear system. Simulation and experimental verification show that the method can suppress the limit loop oscillation, attenuate the system shock, and have a certain robustness. Full article
(This article belongs to the Section F3: Power Electronics)
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20 pages, 5791 KB  
Article
The Design and the Control Principle of a Direct Low-Speed PMSM Servo-Drive Operating under a Sign-Changing Load on the Shaft
by Oleksandr Makarchuk and Dariusz Całus
Energies 2024, 17(13), 3134; https://doi.org/10.3390/en17133134 - 26 Jun 2024
Cited by 1 | Viewed by 2152
Abstract
The paper relates to the development of an algorithm applicable for maintaining the rotational speed of low-speed drives using PMSM motors and operating under a sign-changing load. The moment of inertia of rotating parts does not play the role of a mechanical stabilizer [...] Read more.
The paper relates to the development of an algorithm applicable for maintaining the rotational speed of low-speed drives using PMSM motors and operating under a sign-changing load. The moment of inertia of rotating parts does not play the role of a mechanical stabilizer for the speeds discussed in the article. Simulation studies are presented with the aim of developing a rotational speed control algorithm that utilizes only positional feedback and the previously assumed sign-changing load on the shaft. For the purposes of this research, a mathematical model was developed to calculate transient processes in a PMSM machine operating in the conditions of a sign-changing load on the shaft. This model assumes a deterministic control principle adapted to the known nature of the load change. In this model, the mutual influence occurring between the phase fluxes, the electromagnetic torque, the electric currents and the rotor position angle are established on the basis of FEM analysis of a two-dimensional magnetic field using a quasi-stationary approximation. Principles applicable for controlling a direct low-speed servo drive based on a PMSM machine operating with a known variable shaft load using only positional feedback and a predetermined shaft load change law are defined. The proposed regulation method is verified in an experimental manner. For this purpose, an experimental setup was built, which includes a PMSM with a load imitator on a variable sign shaft, an inverter providing sine-shaped power supply to the machine and a digital dual-processor control system. The discussed rotational speed stabilization algorithm was implemented in the form of a program for a microcontroller, which forms a part of the control system. The results of experimental tests confirm the adequacy of mathematical modeling and the effectiveness of the proposed rotational speed stabilization algorithm. Full article
(This article belongs to the Section F1: Electrical Power System)
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23 pages, 4510 KB  
Article
Multi-Objective Optimization of Kinetic Characteristics for the LBPRM-EHSPCS System
by Yuhang Zhang, Gexin Chen, Guishan Yan, Boyuan Li, Jianxin Lu and Wenguang Jiang
Processes 2023, 11(9), 2623; https://doi.org/10.3390/pr11092623 - 2 Sep 2023
Cited by 1 | Viewed by 1461
Abstract
As the ‘heart’ of energy vehicles, the lithium-ion battery is in desperate need of precision improvement, green production, and cost reduction. To achieve this goal, the electro-hydraulic servo pump control system (EHSPCS) is applied to the lithium-ion battery pole rolling mill (LBPRM). However, [...] Read more.
As the ‘heart’ of energy vehicles, the lithium-ion battery is in desperate need of precision improvement, green production, and cost reduction. To achieve this goal, the electro-hydraulic servo pump control system (EHSPCS) is applied to the lithium-ion battery pole rolling mill (LBPRM). However, this development can lead to limited dynamic performance and large power loss as a result of the EHSPCS unique volume direct-drive control mode. At present, how to solve this conflict has not been studied and how the EHSPCS component parameters influence the dynamic response, power loss, and economic performance is not clear. In this paper, a multi-objective optimization (MOO) model for the LBPRM-EHSPCS is proposed by comprehensively considering the dynamic, efficiency, and economic characteristics. Firstly, the evaluation model of the dynamic response, power loss, and cost is investigated. Then, the NSGA-II algorithm is introduced to address the Pareto front of the MOO model. Finally, the power loss and dynamic response of the LBPRM-EHSPCS before and after optimization are tested to validate the viability of the raised method. Results indicate that power loss is decreased by as much as 7.2% while steady-state precision is greatly improved after optimization. The proposed framework enhances the performance in lithium-ion battery manufacturing and can be applied to other kinds of hydraulic systems. Full article
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