Design of gradient coils based on the target field method in a high-permeability shield considering sidewall apertures

The combination of high-permeability ferrite and coils is often used to nullify ambient magnetic fields and is widely used in applications such as magnetic resonance imaging and high-sensitivity magnetic sensors. We propose the design method of transverse gradient coils based on the target field met...

Full description

Bibliographic Details
Main Authors: Kun Wang, Danyue Ma, Yao Dou, Yanan Gao, Siran Li, Jing Wang, Jinji Sun
Format: Article
Language:English
Published: Elsevier 2023-10-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379723008100
_version_ 1827794350800633856
author Kun Wang
Danyue Ma
Yao Dou
Yanan Gao
Siran Li
Jing Wang
Jinji Sun
author_facet Kun Wang
Danyue Ma
Yao Dou
Yanan Gao
Siran Li
Jing Wang
Jinji Sun
author_sort Kun Wang
collection DOAJ
description The combination of high-permeability ferrite and coils is often used to nullify ambient magnetic fields and is widely used in applications such as magnetic resonance imaging and high-sensitivity magnetic sensors. We propose the design method of transverse gradient coils based on the target field method in a high-permeability shield considering sidewall apertures (TFM-HPSCSA), which are installed in the ferrite shield to zero the residual magnetic field gradient. TFM-HPSCSA coils enable an innovative combination of magnetic field gradient linearity and structural luminescence. The coil current density distribution is set to avoid the central sidewall apertures. As a result, the contour distribution of the stream function under the optimized weight coefficients is calculated to obtain the wire alignments of the dBy/dx, dBy/dy and dBy/dz gradient coils. The deviations of the experimentally measured values from the finite element simulations of the three types coils are 0.63%, 1.17% and 0.48%, respectively, which verified the validity and the accuracy of the proposed method. In comparison to the traditional saddle gradient coil designed under the free space condition, the proposed dBy/dx coil produces a 30.5% improvement in the percentage range of regions with 5% magnetic field gradient nonlinearity. The increased linear range of the gradient magnetic field contributes to the improvement of the residual field nulling range in magnetic sensors and magnetic shielding systems in practical applications.
first_indexed 2024-03-11T18:31:27Z
format Article
id doaj.art-ef62717424b74296ab6c79c691e7ad68
institution Directory Open Access Journal
issn 2211-3797
language English
last_indexed 2024-03-11T18:31:27Z
publishDate 2023-10-01
publisher Elsevier
record_format Article
series Results in Physics
spelling doaj.art-ef62717424b74296ab6c79c691e7ad682023-10-13T11:04:27ZengElsevierResults in Physics2211-37972023-10-0153107017Design of gradient coils based on the target field method in a high-permeability shield considering sidewall aperturesKun Wang0Danyue Ma1Yao Dou2Yanan Gao3Siran Li4Jing Wang5Jinji Sun6Institute of Large-scale Scientific Facility and Centre for Zero Magnetic Field Science, Beihang University, Beijing 100191, ChinaInstitute of Large-scale Scientific Facility and Centre for Zero Magnetic Field Science, Beihang University, Beijing 100191, China; Hefei National Laboratory, Hefei 230088, China; National Institute of Extremely-Weak Magnetic Field Infrastructure, Hangzhou 310000, China; Corresponding authors at: Institute of Large-scale Scientific Facility and Centre for Zero Magnetic Field Science, Beihang University, Beijing 100191, China.Institute of Large-scale Scientific Facility and Centre for Zero Magnetic Field Science, Beihang University, Beijing 100191, ChinaInstitute of Large-scale Scientific Facility and Centre for Zero Magnetic Field Science, Beihang University, Beijing 100191, ChinaChina Academy of Space Technology, Beijing 100094, ChinaBeijing Institute of Electronic System Engineering, Beijing 100074, ChinaInstitute of Large-scale Scientific Facility and Centre for Zero Magnetic Field Science, Beihang University, Beijing 100191, China; Hefei National Laboratory, Hefei 230088, China; National Institute of Extremely-Weak Magnetic Field Infrastructure, Hangzhou 310000, China; Corresponding authors at: Institute of Large-scale Scientific Facility and Centre for Zero Magnetic Field Science, Beihang University, Beijing 100191, China.The combination of high-permeability ferrite and coils is often used to nullify ambient magnetic fields and is widely used in applications such as magnetic resonance imaging and high-sensitivity magnetic sensors. We propose the design method of transverse gradient coils based on the target field method in a high-permeability shield considering sidewall apertures (TFM-HPSCSA), which are installed in the ferrite shield to zero the residual magnetic field gradient. TFM-HPSCSA coils enable an innovative combination of magnetic field gradient linearity and structural luminescence. The coil current density distribution is set to avoid the central sidewall apertures. As a result, the contour distribution of the stream function under the optimized weight coefficients is calculated to obtain the wire alignments of the dBy/dx, dBy/dy and dBy/dz gradient coils. The deviations of the experimentally measured values from the finite element simulations of the three types coils are 0.63%, 1.17% and 0.48%, respectively, which verified the validity and the accuracy of the proposed method. In comparison to the traditional saddle gradient coil designed under the free space condition, the proposed dBy/dx coil produces a 30.5% improvement in the percentage range of regions with 5% magnetic field gradient nonlinearity. The increased linear range of the gradient magnetic field contributes to the improvement of the residual field nulling range in magnetic sensors and magnetic shielding systems in practical applications.http://www.sciencedirect.com/science/article/pii/S2211379723008100Target field methodHigh permeabilityCylindrical coilMagnetic field gradient
spellingShingle Kun Wang
Danyue Ma
Yao Dou
Yanan Gao
Siran Li
Jing Wang
Jinji Sun
Design of gradient coils based on the target field method in a high-permeability shield considering sidewall apertures
Results in Physics
Target field method
High permeability
Cylindrical coil
Magnetic field gradient
title Design of gradient coils based on the target field method in a high-permeability shield considering sidewall apertures
title_full Design of gradient coils based on the target field method in a high-permeability shield considering sidewall apertures
title_fullStr Design of gradient coils based on the target field method in a high-permeability shield considering sidewall apertures
title_full_unstemmed Design of gradient coils based on the target field method in a high-permeability shield considering sidewall apertures
title_short Design of gradient coils based on the target field method in a high-permeability shield considering sidewall apertures
title_sort design of gradient coils based on the target field method in a high permeability shield considering sidewall apertures
topic Target field method
High permeability
Cylindrical coil
Magnetic field gradient
url http://www.sciencedirect.com/science/article/pii/S2211379723008100
work_keys_str_mv AT kunwang designofgradientcoilsbasedonthetargetfieldmethodinahighpermeabilityshieldconsideringsidewallapertures
AT danyuema designofgradientcoilsbasedonthetargetfieldmethodinahighpermeabilityshieldconsideringsidewallapertures
AT yaodou designofgradientcoilsbasedonthetargetfieldmethodinahighpermeabilityshieldconsideringsidewallapertures
AT yanangao designofgradientcoilsbasedonthetargetfieldmethodinahighpermeabilityshieldconsideringsidewallapertures
AT siranli designofgradientcoilsbasedonthetargetfieldmethodinahighpermeabilityshieldconsideringsidewallapertures
AT jingwang designofgradientcoilsbasedonthetargetfieldmethodinahighpermeabilityshieldconsideringsidewallapertures
AT jinjisun designofgradientcoilsbasedonthetargetfieldmethodinahighpermeabilityshieldconsideringsidewallapertures