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...

Full description

Bibliographic Details
Main Authors: Wenfeng Wu, Binquan Zhou, Zhanchao Liu, Jing Wang, Haoying Pang, Linlin Chen, Wei Quan, Gang Liu
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8789519/
_version_ 1818642332385280000
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&#x00D7;10<sup>-4</sup> and 3.9&#x00D7;10<sup>-3</sup> along the magnetic field axis in the range of &#x00B1;0.5R. In addition, this method can also be used to design gradient field coils or other shaped coils.
first_indexed 2024-12-16T23:41:23Z
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
record_format Article
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&#x00D7;10<sup>-4</sup> and 3.9&#x00D7;10<sup>-3</sup> along the magnetic field axis in the range of &#x00B1;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/
work_keys_str_mv AT wenfengwu designofhighlyuniformmagneticfieldcoilsbasedonaparticleswarmoptimizationalgorithm
AT binquanzhou designofhighlyuniformmagneticfieldcoilsbasedonaparticleswarmoptimizationalgorithm
AT zhanchaoliu designofhighlyuniformmagneticfieldcoilsbasedonaparticleswarmoptimizationalgorithm
AT jingwang designofhighlyuniformmagneticfieldcoilsbasedonaparticleswarmoptimizationalgorithm
AT haoyingpang designofhighlyuniformmagneticfieldcoilsbasedonaparticleswarmoptimizationalgorithm
AT linlinchen designofhighlyuniformmagneticfieldcoilsbasedonaparticleswarmoptimizationalgorithm
AT weiquan designofhighlyuniformmagneticfieldcoilsbasedonaparticleswarmoptimizationalgorithm
AT gangliu designofhighlyuniformmagneticfieldcoilsbasedonaparticleswarmoptimizationalgorithm