摘要
基于圆环线圈的电磁感应传感器是常用的一种传感器,其是通过互感的变化实现测量的一种装置。文中针对非共轴圆环线圈系统,运用纽曼积分公式和Grover公式,分析了任意两非共轴圆形平行线圈间的互感随两线圈平面间的距离、两线圈半径及两线圈轴间距离的变化规律,并由磁感线方程绘制出了其磁感线的分布图,从而在物理上直观验证了互感系数的大小。仿真结果验证了公式的正确性,并为电磁感应传感器的设计和优化提供了依据。
Electromagnetic induction sensor based on circular coils is a common one, which is an apparatus to measure by variety of the mutual inductance. The change law of the mutual inductance is discussed in detail by Neumann integral formula and Grover's formula for any two non - coaxial circular coils, the numerical results show that the distance between plans of coils, the radius of the two coils and the distance between axes can lead to a varying mutual inductance. The magnetic induction line is drawn by the equation of the magnetic induction line to understand intuitively the size of mutual inductance in physics. Simulation results show the correctness of formulas and provide basis for design and optimization of the electromagnetic induction sensors.
作者
吴振飞
宋开宏
吴先球
WU Zhenfei SONG Kaihong WU Xianqiu(School of Electronics and Information Engineering, Auhui University, Hefei 230601, China)
出处
《电子科技》
2017年第1期65-68,共4页
Electronic Science and Technology
基金
国家自然科学基金资助项目(51277001)
安徽大学科研训练计划基金资助项目(kyxl2013031)
关键词
互感系数
非共轴圆形线圈
Grover公式
纽曼积分公式
磁感线
mutual inductance
non-coaxial circular coils
Grover's formula
Neumann integral formula
mag- netic induction line