Analytical Model for the Magnetic Field Distribution in a Flux Modulation Superconducting Machine

This article presents a theoretical analysis of an axial field machine using high-temperature superconductors (HTSs) wires and bulks. The air-gap magnetic field obtained with the HTS coil and modulated by the HTS bulks is predicted by two 2-D axisymmetric models. Analytical models are based on the solution of Laplace's equation by the separation of the variable method. The torque is obtained by a quick numerical integration of the Laplace force that acts on the armature winding. The proposed model is compared with 3-D finite-element simulations and good agreement is obtained. This model can be used with an optimization design procedure with a large reduction of the computational time.