Design of Highly Uniform Magnetic Field Coils Based on a Particle Swarm Optimization Algorithm
An innovative design method is proposed for highly uniform magnetic field coils using a particle swarm optimization (PSO) algorithm. We use an optimization approach instead of the conventional method of solving closed-form equations to obtain the coil geometric parameters. We apply a PSO algorithm t...
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IEEE
2019-01-01
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Series: | IEEE Access |
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Online Access: | https://ieeexplore.ieee.org/document/8789519/ |
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author | Wenfeng Wu Binquan Zhou Zhanchao Liu Jing Wang Haoying Pang Linlin Chen Wei Quan Gang Liu |
author_facet | Wenfeng Wu Binquan Zhou Zhanchao Liu Jing Wang Haoying Pang Linlin Chen Wei Quan Gang Liu |
author_sort | Wenfeng Wu |
collection | DOAJ |
description | An innovative design method is proposed for highly uniform magnetic field coils using a particle swarm optimization (PSO) algorithm. We use an optimization approach instead of the conventional method of solving closed-form equations to obtain the coil geometric parameters. We apply a PSO algorithm to the optimization of the coil structure and set an appropriate penalty function and boundary conditions. A discrete optimization is employed to avoid obtaining parameters with a large number of decimal places. Compared with the conventional design method, our method solves the problem of how to design a coil set to produce a highly uniform magnetic field under various structural and process constraints. The coil designed by this method can produce a highly uniform magnetic field for a larger effective space. This is significant for miniaturized applications, especially for miniature atomic sensors. The calculations show that the magnetic field deviations of the triaxial cylindrical coils designed by this innovative method are decreased by more than two orders of magnitude in the volume of interest (VOI) compared to conventional triaxial cylindrical coils. Our experimental measurements are consistent with theoretical values. Measurements show that relative magnetic field uniformities of the axial and radial coils reache 1.2×10<sup>-4</sup> and 3.9×10<sup>-3</sup> along the magnetic field axis in the range of ±0.5R. In addition, this method can also be used to design gradient field coils or other shaped coils. |
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format | Article |
id | doaj.art-2ec6881a36374594876826895a654409 |
institution | Directory Open Access Journal |
issn | 2169-3536 |
language | English |
last_indexed | 2024-12-16T23:41:23Z |
publishDate | 2019-01-01 |
publisher | IEEE |
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series | IEEE Access |
spelling | doaj.art-2ec6881a36374594876826895a6544092022-12-21T22:11:36ZengIEEEIEEE Access2169-35362019-01-01712531012532210.1109/ACCESS.2019.29336088789519Design of Highly Uniform Magnetic Field Coils Based on a Particle Swarm Optimization AlgorithmWenfeng Wu0https://orcid.org/0000-0003-0694-710XBinquan Zhou1Zhanchao Liu2https://orcid.org/0000-0003-0162-9217Jing Wang3https://orcid.org/0000-0001-7231-009XHaoying Pang4Linlin Chen5Wei Quan6Gang Liu7School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, ChinaSchool of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, ChinaSchool of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, ChinaSchool of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, ChinaSchool of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, ChinaDepartment of Aerospace Science and Technology, Space Engineering University, Beijing, ChinaSchool of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, ChinaSchool of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing, ChinaAn innovative design method is proposed for highly uniform magnetic field coils using a particle swarm optimization (PSO) algorithm. We use an optimization approach instead of the conventional method of solving closed-form equations to obtain the coil geometric parameters. We apply a PSO algorithm to the optimization of the coil structure and set an appropriate penalty function and boundary conditions. A discrete optimization is employed to avoid obtaining parameters with a large number of decimal places. Compared with the conventional design method, our method solves the problem of how to design a coil set to produce a highly uniform magnetic field under various structural and process constraints. The coil designed by this method can produce a highly uniform magnetic field for a larger effective space. This is significant for miniaturized applications, especially for miniature atomic sensors. The calculations show that the magnetic field deviations of the triaxial cylindrical coils designed by this innovative method are decreased by more than two orders of magnitude in the volume of interest (VOI) compared to conventional triaxial cylindrical coils. Our experimental measurements are consistent with theoretical values. Measurements show that relative magnetic field uniformities of the axial and radial coils reache 1.2×10<sup>-4</sup> and 3.9×10<sup>-3</sup> along the magnetic field axis in the range of ±0.5R. In addition, this method can also be used to design gradient field coils or other shaped coils.https://ieeexplore.ieee.org/document/8789519/Uniform magnetic fieldtriaxial cylindrical coilPSOminiature atomic sensors |
spellingShingle | Wenfeng Wu Binquan Zhou Zhanchao Liu Jing Wang Haoying Pang Linlin Chen Wei Quan Gang Liu Design of Highly Uniform Magnetic Field Coils Based on a Particle Swarm Optimization Algorithm IEEE Access Uniform magnetic field triaxial cylindrical coil PSO miniature atomic sensors |
title | Design of Highly Uniform Magnetic Field Coils Based on a Particle Swarm Optimization Algorithm |
title_full | Design of Highly Uniform Magnetic Field Coils Based on a Particle Swarm Optimization Algorithm |
title_fullStr | Design of Highly Uniform Magnetic Field Coils Based on a Particle Swarm Optimization Algorithm |
title_full_unstemmed | Design of Highly Uniform Magnetic Field Coils Based on a Particle Swarm Optimization Algorithm |
title_short | Design of Highly Uniform Magnetic Field Coils Based on a Particle Swarm Optimization Algorithm |
title_sort | design of highly uniform magnetic field coils based on a particle swarm optimization algorithm |
topic | Uniform magnetic field triaxial cylindrical coil PSO miniature atomic sensors |
url | https://ieeexplore.ieee.org/document/8789519/ |
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