Calcul analytique de l’inductance d’une bobine dans un circuit ferromagnetique en présence d’une pastille supraconductrice

All magnetization methods of superconductors are based on the variation of the applied magnetic field that results from the characteristics of the inductor used. In this paper we have developed an analytical model to show the effect of the presence of a superconducting pellet on the value of the inductance of a circular coil of rectangular cross section placed in a ferromagnetic circuit with gap. This model is based on the determination of the magnetic vector potential from solving the Laplace and fish equations in different regions of interest using the method of separating variables. This analytical resolution is done using a computation code developed under MATLAB. The results obtained are compared with those obtained by a numerical simulation based on the finite element method implemented under COMSOL. A remarkable concordance is observed between.