The Calculation Of Interaction Between Current-carrying Coil And Meissner Superconductor With FEM Method

Superconducting accelerometer(SA) is the core unite in superconducting gravity instruments. In many cases, the SA is constructed by levitating a superconducting test mass using superconducting coil. The properties of the interaction between the coils and the test mass playing a key role in determining the SA performance. Therefore, clarifying the influence by theoretical calculation is of essential importance in designing superconducting gravity instruments.In this thesis, the finite element method has been adopted to calculate the effective inductance of a superconducting coil which interacts with a cylinder-shaped test mass in Meissner state. This method divide the current on the surface of the superconductor into a series of closely spaced coaxial rings. As the number of the current loops increases and the diameter of the current loops decreases, this calculation will gradually approach the actual superconducting environment. The magnetic force between them and the stiffness coefficient of the magnetic spring oscillator are subsequently deduced from the dependence of the effective inductance on the displacement of the test mass. The calculation results coupled well with the experiment result, and this confirming the validity of the calculation method.For the convenience of others to do the similar calculation, the code has been packed into a visual software under windows platform. During packing the code, special alteration has been packed as parameter input method. Thus the software is exhibit enough flexible to solve new problems.Besides the magnetic interacting, other parameter necessary for SA design, such as the coupling coefficients of mutual inductance under superconducting shield, the influence of the matching error of test mass on the SA properties, have also been investigated using this numerical calculation...