Numerical Modeling and Structure Optimization for Magnetic Levitation Planar Machine Using PCB Coils

Magnetically levitated (ML) systems that incorporate PCB coils represent a growing trend in precision machining, valued for their controllable current flow and high fill factor. The size of modern power devices is decreasing to enhance power density, minimize parasitic inductance, and reduce power l...

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Main Authors: Han Zhang, Jiawen He, Xianze Xu, Rui Wang, Manman Xu, Fengqiu Xu
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Actuators
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Online Access:https://www.mdpi.com/2076-0825/14/1/33
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author Han Zhang
Jiawen He
Xianze Xu
Rui Wang
Manman Xu
Fengqiu Xu
author_facet Han Zhang
Jiawen He
Xianze Xu
Rui Wang
Manman Xu
Fengqiu Xu
author_sort Han Zhang
collection DOAJ
description Magnetically levitated (ML) systems that incorporate PCB coils represent a growing trend in precision machining, valued for their controllable current flow and high fill factor. The size of modern power devices is decreasing to enhance power density, minimize parasitic inductance, and reduce power losses. However, due to the high resistance of PCB coils, managing heat generation has become a significant area of study. This paper seeks to optimize PCB coil design to minimize power loss and control peak temperatures in ML systems, using a numerical model. An improved magnetic node model is employed to construct the magnetic fields of an ML system. The proposed optimization method considers the interdependencies among parameters to reduce overall power loss from coil resistance and switching losses in the H-bridge circuit, while enhancing heat dissipation efficiency in steady-state operation. A heuristic multi-objective optimization algorithm is employed to optimize the design of the ML actuator. The optimization process initially focuses on the PCB coils, with the magnet size held constant. Once the optimal coil parameters are identified, the magnet volume is optimized. By integrating a theoretical analysis with simulation, this approach effectively addresses the optimization challenges and achieves the desired performance for the ML actuator. Coils and magnets are constructed based on the optimized design and tested by the magnetic field simulation software Radia, confirming the feasibility of the approach. The method was also applied to a different type of ML system for comparison, demonstrating the universality of the proposed strategy. In this optimization effort, the maximum temperature reduction reached an impressive 50 °C
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publishDate 2025-01-01
publisher MDPI AG
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series Actuators
spelling doaj-art-1fa886c9b36441e6b3ad0fc1b8a41a592025-01-24T13:15:14ZengMDPI AGActuators2076-08252025-01-011413310.3390/act14010033Numerical Modeling and Structure Optimization for Magnetic Levitation Planar Machine Using PCB CoilsHan Zhang0Jiawen He1Xianze Xu2Rui Wang3Manman Xu4Fengqiu Xu5School of Electronic Information, Wuhan University, Wuhan 430072, ChinaSchool of Electronic Information, Wuhan University, Wuhan 430072, ChinaSchool of Electronic Information, Wuhan University, Wuhan 430072, ChinaWuhan Yawei Electronics Co., Ltd., Wuhan 430072, ChinaSchool of Mechanical Automation, Wuhan University of Science and Technology, Wuhan 430072, ChinaSchool of Electronic Information, Wuhan University, Wuhan 430072, ChinaMagnetically levitated (ML) systems that incorporate PCB coils represent a growing trend in precision machining, valued for their controllable current flow and high fill factor. The size of modern power devices is decreasing to enhance power density, minimize parasitic inductance, and reduce power losses. However, due to the high resistance of PCB coils, managing heat generation has become a significant area of study. This paper seeks to optimize PCB coil design to minimize power loss and control peak temperatures in ML systems, using a numerical model. An improved magnetic node model is employed to construct the magnetic fields of an ML system. The proposed optimization method considers the interdependencies among parameters to reduce overall power loss from coil resistance and switching losses in the H-bridge circuit, while enhancing heat dissipation efficiency in steady-state operation. A heuristic multi-objective optimization algorithm is employed to optimize the design of the ML actuator. The optimization process initially focuses on the PCB coils, with the magnet size held constant. Once the optimal coil parameters are identified, the magnet volume is optimized. By integrating a theoretical analysis with simulation, this approach effectively addresses the optimization challenges and achieves the desired performance for the ML actuator. Coils and magnets are constructed based on the optimized design and tested by the magnetic field simulation software Radia, confirming the feasibility of the approach. The method was also applied to a different type of ML system for comparison, demonstrating the universality of the proposed strategy. In this optimization effort, the maximum temperature reduction reached an impressive 50 °Chttps://www.mdpi.com/2076-0825/14/1/33magnetic levitationmagnetic node modelPCB coilspower lossoptimal design
spellingShingle Han Zhang
Jiawen He
Xianze Xu
Rui Wang
Manman Xu
Fengqiu Xu
Numerical Modeling and Structure Optimization for Magnetic Levitation Planar Machine Using PCB Coils
Actuators
magnetic levitation
magnetic node model
PCB coils
power loss
optimal design
title Numerical Modeling and Structure Optimization for Magnetic Levitation Planar Machine Using PCB Coils
title_full Numerical Modeling and Structure Optimization for Magnetic Levitation Planar Machine Using PCB Coils
title_fullStr Numerical Modeling and Structure Optimization for Magnetic Levitation Planar Machine Using PCB Coils
title_full_unstemmed Numerical Modeling and Structure Optimization for Magnetic Levitation Planar Machine Using PCB Coils
title_short Numerical Modeling and Structure Optimization for Magnetic Levitation Planar Machine Using PCB Coils
title_sort numerical modeling and structure optimization for magnetic levitation planar machine using pcb coils
topic magnetic levitation
magnetic node model
PCB coils
power loss
optimal design
url https://www.mdpi.com/2076-0825/14/1/33
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AT ruiwang numericalmodelingandstructureoptimizationformagneticlevitationplanarmachineusingpcbcoils
AT manmanxu numericalmodelingandstructureoptimizationformagneticlevitationplanarmachineusingpcbcoils
AT fengqiuxu numericalmodelingandstructureoptimizationformagneticlevitationplanarmachineusingpcbcoils