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| Analysis on the Axial Magnetic Field of Multi-layer Finite Solenoid Based on the Equivalent Current Density Model |
| LI Zesong1,HUANG Feili1,WANG Yimin1,YU Shancheng1,JIN Bo2 |
1. Ningbo Institute of Measurement and Testing,Ningbo, Zhejiang 315048, China
2. State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou, Zhejiang 310027, China |
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Abstract In order to resolve the calibrating problem of axial Hall magnetic probe with short rob, a portable finite solenoid was proposed as the reference magnetic field generator. The axial magnetic filed was calculated to obtain its distribution based on the Biot-Savart law and superposition principle of magnetic field, by establishing the solenoid model in a cylindrical coordinate system. In addition, a finite element model (FEM) was established for the multi-layer finite solenoid to analyze its spatial magnetic filed with given exciting current. A solenoid prototype with 100mT central magnetic intensity was designed according to above theoretical analysis. The data from the ECD model, FEM and prototype testing were compared, and the results show that at the solenoid center the deviation between theoretical calculation and FEM is less than 0.1%, and its less than 0.8% between theoretical calculation and prototype testing. Its demonstrated that the ECD model is effective to analyze solenoid axial magnetic field. This method is suggested to be applied in designing and optimizing parameters of a finite solenoid more efficiently and accurately.
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Received: 20 December 2023
Published: 26 September 2024
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|
| ［6］ |
张洺睿, 郭小飞, 任伟杰, 等. 磁选柱中螺线管型磁系的模拟优化研究［J］. 金属矿山, 2021, 544(10): 162-166.
|
|
WANG P. The physical image of self-inductance and mutual inductance of electrified straight solenoid ［J］. Physics Bulletin, 2021(7): 39-42.
|
| ［10］ |
丁莹, 董全林, 赵伟霞, 等. 两类鞍形线圈产生磁场均匀性效能的研究［J］. 计量学报, 2016, 37(6): 638-643.
|
| ［9］ |
徐昱, 曹艳, 陈桂英, 等. 1mT~2. 5T磁强计的校准［J］. 计量学报, 2019, 40(6A): 84-88.
|
| ［16］ |
冯涛. 有限长螺线管场分布特性分析［D］. 西安: 西安电子科技大学, 2013.
|
| ［2］ |
JIANG Q, ZHOU X Y, CHIN J Y, et al. Design and realization of a two-dimensional spatial magnetic field mapping apparatus to measure magnetic fields of metamaterials［J］. Journal of Applied Physics, 2011, 110(2): 024903
|
| ［11］ |
李鑫, 张伟. 磁强计校准装置的建立［J］. 电测与仪表, 2012, 49(10A): 33-35.
|
| ［19］ |
王鹏. 通电直螺线管自感与互感的物理图像 ［J］. 物理通报, 2021(7): 39-42.
|
| ［20］ |
彭斓, 杨中海, 胡权. 通电螺线管2维磁场有限元计算［J］. 强激光与粒子束, 2011, 23(8): 2151-2156.
|
| ［1］ |
RENALLA D P, SPASIC S, UGHINI R, et al. Accurate 3-axis measurement of inhomogenous magnetic fields［J］. TM-technisches Messen, 2019, 86(10): 599-608.
|
| ［3］ |
YANG Z Y, SONG J C, CAI W, et al. Analysis of the influence of a solenoid magnetic field in the azimuth transmission system［J］. Scientific Reports, 2021, 11(1): 16242.
|
|
GUAN Z C, SU H F, JIA Z D. Analysis on magnetic field Distribution generated by axisymmetric hollow coils systems ［J］. High Voltage Engineering, 2009, 35(11): 2735-2740.
|
| ［5］ |
曹斌照, 崔程, 乔磊. 精确求解无限长通电螺线管周围磁场分布的两种新解法及仿真验证［J］. 实验技术与管理, 2021, 38(4): 141-145, 149.
|
|
CAO B Z, CUI C, QIAO L. Two new methods for accurately solving magnetic field distribution around infinite solenoid and their simulation verification ［J］. Experimental Technology and Management, 2021, 38(4): 141-145, 149.
|
|
ZHANG M R, GUO X F, REN W J, et al. Simulation and optimization of solenoid magnetic system in magnetic separation column ［J］. Metal Mine, 2021, 544(10): 162-166.
|
| ［8］ |
张美霞, 刘忠源. 通电螺线管的磁场分布［J］. 辽宁大学学报(自然科学版), 2021, 48(4): 359-364.
|
| ［14］ |
陈光. CFETR中心螺线管模型线圈结构分析与研究［D］. 合肥: 合肥工业大学, 2018.
|
| ［4］ |
关志成, 苏华锋, 贾志东. 通电空心线圈系统产生的磁场分析［J］. 高电压技术, 2009, 35(11): 2735-2740.
|
| ［7］ |
BEHTOUEI M, FAILLACE L, SPATARO B, et al. A novel exact analytical expression for the magnetic field of a solenoid［J］. Waves in Random and Complex Media, 2022, 32(4): 1977-1991.
|
|
ZHANG M X, LIU Z Y. The magnetic field distribution of electrified solenoid ［J］. Journal of Liaoning University, 2021, 48(4): 359-364.
|
|
XU Y, CAO Y, CHEN G Y. et al. Calibration of 1mT~2. 5T Magnetometers ［J］. Acta Metrogica Sinica, 2019, 40(6A): 84-88.
|
|
DING Y, DONG Q L, ZHAO W X, et al. Research on magnetic uniformity performance of two kinds of saddle coils for magnetic shielding ［J］. Acta Metrogica Sinica, 2016, 37(6): 638-643.
|
| ［12］ |
GRANUM P, MADSEN M L, McKENNA J T K, et al. Efficient calculations of magnetic fields of solenoids for simulations［J］. Nuclear Inst. and Methods in Physics Research, A, 2022, 1034: 166706.
|
| ［13］ |
ZUO F L. Axial component of the magnetic field produced by a straight solenoid: Application of the solid angle concept［J］. American Journal of Physics, 2019, 87(6): 449-451
|
| ［15］ |
LIN Q G. An approach to the magnetic field of a finite solenoid with a circular cross-section ［J］. European Journal of Physics, 2021, 42(3): 035206.
|
| ［17］ |
何祥瑞, 荣灿灿, 刘明海. 基于无线电能传输系统多线圈结构参数优化设计［J］. 电工技术学报, 2021, 36(S2): 404-411.
|
|
HE X R, RONG C C, LIU M H. Optimization design of Multi-coil structure parameters based on wireless power transfer system ［J］. Transactions of China Electrotechnical Society, 2021, 36(S2): 404-411.
|
|
LI X, ZHANG W. The establishment of magneometer calibration device ［J］. Electrical Measurement & Instrumentation, 2012, 49(10A): 33-35.
|
| ［18］ |
HUANG L, LEE S. Study on Magnetic field mapping method in the center volume of the air-core solenoid ［J］. IEEE Transaction Applied Superconductivity, 2016, 26(4): 4900104.
|
|
PENG L, YANG Z H, HU Q. Finite element computation of 2-D magnetic field of solenoid with current ［J］. High Power Laser and Particle Bems, 2011, 23(8): 2151-2156.
|
|
|
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2024, Vol. 45 
