Analytical Modeling of an Inductor in a Magnetic Circuit for Pulsed Field Magnetization of HTS Bulks

Poster; International audience; The development of cryo-magnets made with REBaCuO superconductors allows us to consider the generation of very intense magnetic field (up to 17 Tesla). This can be done with a pulsed magnetization system including one coil in the simplest case. Usually, sophisticated and complicated numerical modeling is needed to calculate electromagnetic characteristics of the inductor. Such modeling can be done, for example, using a Finite Element Analysis software to achieve a complex problem with the risk to need a readjustment of used parameters each time that we feel the numerical results are not satisfactory. For more flexibility, and in particular in the design stage, an analytical approach is proposed in the present paper with some assumptions, to calculate the magnetic vector potential components and deduce the magnetic field and inductance of the coil. This is done by the resolution of Laplace’s and Poisson’s equations in each region of interest, under Dirichlet and Newman conditions. The set of solutions is obtained with Fourier analysis and the magnetic field's expressions are given by special functions like Bessel and Legendre ones. Obtained results for the same proposed system is modeled and simulated with COMSOL Multiphysics, by the use of finite elements. Both approaches are compared and discussed.