Design of high uniform magnetic field with four coils based on improved wolf pack algorithm

Uniform magnetic fields are commonly utilized in scientific and engineering domains for a variety of purposes, such as atomic magnetometers, nuclear magnetic resonance, and other magnetic tools. However, the conventional Helmholtz coils have limitations in generating the highly uniform magnetic fiel...

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Main Authors: Xuehua Zhu, Juntao Ye, Ziruo Ren, Xinyu Liu
Format: Article
Language:English
Published: Elsevier 2025-01-01
Series:Engineering Science and Technology, an International Journal
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Online Access:http://www.sciencedirect.com/science/article/pii/S2215098624003306
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author Xuehua Zhu
Juntao Ye
Ziruo Ren
Xinyu Liu
author_facet Xuehua Zhu
Juntao Ye
Ziruo Ren
Xinyu Liu
author_sort Xuehua Zhu
collection DOAJ
description Uniform magnetic fields are commonly utilized in scientific and engineering domains for a variety of purposes, such as atomic magnetometers, nuclear magnetic resonance, and other magnetic tools. However, the conventional Helmholtz coils have limitations in generating the highly uniform magnetic fields required for larger devices. To tackle this challenge, a new four-coil Helmholtz configuration has been devised in this paper to produce extremely uniform magnetic fields. Through the utilization of an enhanced Wolf Pack Algorithm (WPA) for optimizing spatial parameters, the four-coil system notably enhances the effective coverage ratio (ECR) of the uniform magnetic field. Finite element simulations confirm that this configuration delivers superior magnetic field uniformity, the ratio of the uniform magnetic field space, known as the ECR, experienced an increase from 18.5495% to 34.3046% when the magnetic field change rate remained below 0.1%. The research underscores the enhanced adaptability and effectiveness of the improved WPA in addressing multi-dimensional optimization challenges, providing a swift and efficient method for attaining uniform magnetic fields. This progress supports applications reliant on uniform magnetic fields, such as geomagnetic navigation, sensor calibration, and magnetic guidance systems, opening up possibilities for future applications of intelligent optimization algorithms in intricate physical and engineering tasks.
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series Engineering Science and Technology, an International Journal
spelling doaj-art-8d63e26c3ed74f048246c4368b6152012025-01-05T04:28:13ZengElsevierEngineering Science and Technology, an International Journal2215-09862025-01-0161101944Design of high uniform magnetic field with four coils based on improved wolf pack algorithmXuehua Zhu0Juntao Ye1Ziruo Ren2Xinyu Liu3School of Integrated Circuits, Anhui Polytechnic University, Wuhu 241000, China; Anhui Engineering Research Center of Vehicle Display Integrated Systems, Anhui Polytechnic University, Wuhu 241000, China; Key Laboratory of Advanced Perception and Intelligent Control of High-end Equipment, Ministry of Education, Anhui Polytechnic University, Wuhu 241000, China; Corresponding author at: School of Integrated Circuits, Anhui Polytechnic University, Wuhu 241000, China.School of Integrated Circuits, Anhui Polytechnic University, Wuhu 241000, China; Key Laboratory of Advanced Perception and Intelligent Control of High-end Equipment, Ministry of Education, Anhui Polytechnic University, Wuhu 241000, ChinaSchool of Integrated Circuits, Anhui Polytechnic University, Wuhu 241000, China; Key Laboratory of Advanced Perception and Intelligent Control of High-end Equipment, Ministry of Education, Anhui Polytechnic University, Wuhu 241000, ChinaSchool of Integrated Circuits, Anhui Polytechnic University, Wuhu 241000, China; Key Laboratory of Advanced Perception and Intelligent Control of High-end Equipment, Ministry of Education, Anhui Polytechnic University, Wuhu 241000, ChinaUniform magnetic fields are commonly utilized in scientific and engineering domains for a variety of purposes, such as atomic magnetometers, nuclear magnetic resonance, and other magnetic tools. However, the conventional Helmholtz coils have limitations in generating the highly uniform magnetic fields required for larger devices. To tackle this challenge, a new four-coil Helmholtz configuration has been devised in this paper to produce extremely uniform magnetic fields. Through the utilization of an enhanced Wolf Pack Algorithm (WPA) for optimizing spatial parameters, the four-coil system notably enhances the effective coverage ratio (ECR) of the uniform magnetic field. Finite element simulations confirm that this configuration delivers superior magnetic field uniformity, the ratio of the uniform magnetic field space, known as the ECR, experienced an increase from 18.5495% to 34.3046% when the magnetic field change rate remained below 0.1%. The research underscores the enhanced adaptability and effectiveness of the improved WPA in addressing multi-dimensional optimization challenges, providing a swift and efficient method for attaining uniform magnetic fields. This progress supports applications reliant on uniform magnetic fields, such as geomagnetic navigation, sensor calibration, and magnetic guidance systems, opening up possibilities for future applications of intelligent optimization algorithms in intricate physical and engineering tasks.http://www.sciencedirect.com/science/article/pii/S2215098624003306Uniform magnetic fieldMcLaughlin expansion methodWolf pack algorithmEffective coverage rateFinite elements simulation
spellingShingle Xuehua Zhu
Juntao Ye
Ziruo Ren
Xinyu Liu
Design of high uniform magnetic field with four coils based on improved wolf pack algorithm
Engineering Science and Technology, an International Journal
Uniform magnetic field
McLaughlin expansion method
Wolf pack algorithm
Effective coverage rate
Finite elements simulation
title Design of high uniform magnetic field with four coils based on improved wolf pack algorithm
title_full Design of high uniform magnetic field with four coils based on improved wolf pack algorithm
title_fullStr Design of high uniform magnetic field with four coils based on improved wolf pack algorithm
title_full_unstemmed Design of high uniform magnetic field with four coils based on improved wolf pack algorithm
title_short Design of high uniform magnetic field with four coils based on improved wolf pack algorithm
title_sort design of high uniform magnetic field with four coils based on improved wolf pack algorithm
topic Uniform magnetic field
McLaughlin expansion method
Wolf pack algorithm
Effective coverage rate
Finite elements simulation
url http://www.sciencedirect.com/science/article/pii/S2215098624003306
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AT ziruoren designofhighuniformmagneticfieldwithfourcoilsbasedonimprovedwolfpackalgorithm
AT xinyuliu designofhighuniformmagneticfieldwithfourcoilsbasedonimprovedwolfpackalgorithm