2D analytical modeling of a wholly superconducting synchronous reluctance motor

Abstract

An analytical computation of the magnetic field distribution in a wholly superconducting synchronous reluctance motor is proposed. The stator of the studied motor consists of three-phase HTS armature windings fed by AC currents. The rotor is made with HTS bulks which present the specificity to have a diamagnetic behavior under zerofield cooling. The electromagnetic torque is obtained by the interaction between the rotating magnetic field created by the HTS windings and the HTS Bulks. The proposed analytical model is based on the resolution of Laplace's and Poisson's equations (by the separation of variables technique) for each sub-domain, i.e. stator windings, air-gap, holes between HTS bulks and exterior iron shield. For the study, the HTS bulks are considered as perfect diamagnetic materials. The boundary and continuity conditions between each sub-domains yield to the global solution. Magnetic field distributions and electromagnetic torque obtained by the analytical method are compared with those obtained from finite element analyses.

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

“…The first analytical problem is to determine a flux modulation function which represents the shielding effect of one superconducting bulks placed in a homogeneous magnetic field. This function was already developed for the radial flux machine, but this model is not adapted for the axial flux machine [23]. A perfect diamagnetic behavior for the bulk will be considered, so no magnetic flux density penetrates into the shield.…”