Calculation and optimization of magnetic focusing field of hemispherical coil array

被引:0
|
作者
Fu X. [1 ]
Fu X. [1 ]
Sun J. [2 ]
Chen W. [1 ]
机构
[1] School of Electrical Engineering, Southeast University, Nanjing
[2] School of Biological Science and Medical Engineering, Southeast University, Nanjing
来源
Dongnan Daxue Xuebao (Ziran Kexue Ban)/Journal of Southeast University (Natural Science Edition) | 2020年 / 50卷 / 04期
关键词
Analytic calculation; Genetic algorithm; Magnetic focusing coil array; Magnetic focusing field; Optimal design;
D O I
10.3969/j.issn.1001-0505.2020.04.013
中图分类号
学科分类号
摘要
To enhance the electromagnetic performance of the focusing device and improve the medical effects of transcranial magnetic stimulation, tumor therapy and other fields, a hemispherical coil array is presented. An analytical model of the spatial focusing magnetic field was established based on the theory of an electromagnetic field. The electromagnetic field of the hemispherical coil array was calculated by the finite element method and analytical method. The magnetic field distribution was revealed, and the sensitivity evaluation of the main structural parameters was given. Furthermore, the parameters of the coil array were optimized by NSGA-Ⅱ based on the optimization objectives and constraints as well as the analytical model above. The design results satisfying the thermal and magnetic focusing requirements were obtained. The principle prototype of the focusing coil array was established and the experimental research was carried out. The comparison of optimization, finite element and experimental results shows that the calculation error of the analytical model is about 2% to 3%. The configuration of the hemispherical coil array is reasonable and is able to generate the magnetic focusing field, which meets the requirements of range, gradient and amplitude. In addition, the magnetic focusing performance of the coil array optimized by NSGA-Ⅱ is greatly improved. © 2020, Editorial Department of Journal of Southeast University. All right reserved.
引用
收藏
页码:689 / 697
页数:8
相关论文
共 20 条
  • [11] Mi Y, Jiang C, Yao C G, Et al., Development of focused magnetic field coil for pulse magnetic field generator applied in tumor treatment, High Voltage Engineering, 39, 1, pp. 141-148, (2013)
  • [12] Han B H, Lee S Y, Kim J H, Et al., Some technical aspects of magnetic stimulation coil design with the ferromagnetic effect, Medical & Biological Engineering & Computing, 41, 5, pp. 516-518, (2003)
  • [13] Sanchez C C, Garcia-Pacheco F J, Rodriguez J M G, Et al., An inverse boundary element method computational framework for designing optimal TMS coils, Engineering Analysis with Boundary Elements, 88, pp. 156-169, (2018)
  • [14] Koponen L M, Nieminen J O, Ilmoniemi R J., Minimum-energy coils for transcranial magnetic stimulation: Application to focal stimulation, Brain Stimulation, 8, 1, pp. 124-134, (2015)
  • [15] Koponen L M, Nieminen J O, Mutanen T P, Et al., Coil optimisation for transcranial magnetic stimulation in realistic head geometry, Brain Stimulation, 10, 4, pp. 795-805, (2017)
  • [16] Luis G, Stefan G, Peterchev A V., Design of transcranial magnetic stimulation coils with optimal trade-off between depth, focality, and energy, Journal of Neural Engineering, 15, 4, pp. 1-33, (2018)
  • [17] Zhang C L., Study on focality of magnetic stimulation based on multiple coils, (2016)
  • [18] Zhu L M, Wu X P, Li J W, Et al., The Euler's rotation and dynamic equation of rectangular coordinate system, Hydrographic Surveying and Charting, 30, 3, pp. 20-22, (2010)
  • [19] Wang Y, Ma L, Wang L
  • [20] Tan BF, Chen HY, Liang ZP