一种超导重力仪磁悬浮力的等效计算

An equivalent calculation of superconducting gravimeter magnetic levitation force

为实现超导重力仪磁悬浮力的精确计算,以GWR型超导重力仪为模型基础,采用有限元的思想,将超导球表面电流理想化为多个等高共轴电流环,计算出各个电流环与超导线圈的作用力,求和得到线圈与超导球间的磁悬浮力。利用MATLAB完成计算程序实现,通过改变下线圈电流和上、下线圈电流比,获得满足一定条件的磁悬浮力及其梯度。选取合适的模型参数,计算出线圈对质量为m=4.069 g超导球的磁悬浮力大小为:Ftotal=3.988×10^-2N,磁悬浮力梯度为:-9.699×10^-3N/m,此时悬浮力梯度合适,满足系统稳定性和灵敏度的要求。

In order to realize the accurate calculation of magnetic levitation force of superconducting gravimeter,based on the GWR superconducting gravimeter and the iidea of finite element,the surface current of the superconducting sphere is idealized into multiple isometric coaxial current rings.By calculating the force of each current loop and superconducting coil to obtain the magnetic levitation force between coil and a superconducting sphere by summation.Using MATLAB to complete the calculation program,the magnetic levitation force and its gradient were obtained by changing the current ratio of lower coil and upper coil.By selecting appropriate model parameters,we could calculate the magnetic levitation force of the coil on the superconducting ball:Ftotal=3.988×10^-2N.At this state,the mass of the superconducting sphere is 4.069 g and the magnetic levitation force gradient is -9.699×10^-3N/m.At this point,the levitation force gradient is suitable to meet the requirements of system stability and sensitivity.