北京航空航天大学学报 ›› 2018, Vol. 44 ›› Issue (3): 454-461.doi: 10.13700/j.bh.1001-5965.2017.0152

• 论文 • 上一篇    下一篇

产生匀强磁场的圆柱形线圈组设计方法

胡朝晖1,2, 穆维维1,2, 吴文峰1,2, 周斌权1,2   

  1. 1. 北京航空航天大学仪器科学与光电工程学院, 北京 100083;
    2. 北京航空航天大学惯性技术重点实验室, 北京 100083
  • 收稿日期:2017-03-14 出版日期:2018-03-20 发布日期:2017-09-18
  • 通讯作者: 周斌权 E-mail:bqzhou@buaa.edu.cn
  • 作者简介:胡朝晖,男,博士,讲师,硕士生导师。主要研究方向:量子传感技术;周斌权,男,硕士,讲师。主要研究方向:原子陀螺仪技术。
  • 基金资助:
    国家自然科学基金(61227902);国家“863”计划(2014AA123401)

Design method of cylindrical coil systems for generating uniform magnetic field

HU Zhaohui1,2, MU Weiwei1,2, WU Wenfeng1,2, ZHOU Binquan1,2   

  1. 1. School of Instrumentation Science and Opto-electronics Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;
    2. Science and Technology on Inertial Laboratory, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
  • Received:2017-03-14 Online:2018-03-20 Published:2017-09-18
  • Supported by:
    National Natural Science Foundation of China (61227902); National High-tech Research and Development Program of China (2014AA123401)

摘要: 在精密测量和航空航天领域,原子陀螺仪、原子磁强计等对线圈产生磁场的均匀度有很高的要求,而传统的亥姆霍兹线圈磁场均匀度较差,难以满足应用需求。为了设计产生高均匀度磁场的线圈组,基于线圈轴向磁场的泰勒展开式,提出了任意线圈数的圆柱形线圈组参数的计算方法,并给出了9线圈以内的线圈参数,分析了磁场均匀度、线圈尺寸、线圈最大安匝比随线圈个数的变化趋势。结果表明随着线圈个数的增加,均匀区面积几乎线性增大,9线圈组磁场均匀度优于0.01%的区域面积约为亥姆霍兹线圈的30倍。在要求各个线圈由整数匝线圈组成且各匝线圈电流相同的情况下,提出了一种线圈安匝比取整的方法,并给出2~9线圈组的安匝比取整结果,计算结果表明相同线圈个数下设计的线圈组产生磁场的均匀度优于已有文献。以5线圈组为例,对实际线圈组制作工艺产生的误差进行了仿真分析,仿真结果表明,考虑误差的情况下,设计的尺寸和磁场也满足原子陀螺仪、原子磁强计等的实际要求。

关键词: 磁场线圈, 线圈参数, 线圈组设计, 匀强磁场, 磁场均匀度

Abstract: In the field of precision measurement and aerospace, atomic gyroscope and atomic magnetometer have high requirements on the uniformity of magnetic field, while the uniformity of magnetic field generated by the traditional Helmholtz coil is not good enough for these applications. To obtain better field uniformity, a method to calculate the parameters of cylindrical coil systems is proposed based on the Taylor expansion of the axial magnetic field. The parameters of two-coil to nine-coil systems are computed, and the variation trends of magnetic field uniformity, coils' size, and coils' maximum ampere-turn ratio with coil number are analyzed. Numerical results demonstrate that the uniform region area of magnetic field increases almost linearly with the increasing of coil number, and the region area where the field uniformity is better than 0.01% in nine-coil system is about 30 times as large as that in Helmholtz coil. A method of rounding coil ampere-turn ratio is presented when integer coil turns and the same current in each coil turn are required, and the integer ampere-turn ratios of two-coil to nine-coil systems are given. Numerical results show that the uniformity of our coil systems is better than those in other papers. Finally, simulation analysis for the error caused by fabrication technique in practical five-coil system is conducted. Simulation results demonstrate that both the designed size and magnetic field of the coil meet the practical demand of atomic gyroscope and atomic magnetometer when error is taken into consideration.

Key words: magnetic coils, coil parameter, coil systems design, uniform magnetic field, magnetic field uniformity

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