Multimodal interpolation of 3D finite element results for a tubular linear PM synchronous actuator inductance modeling

For a better force computation of a three phase permanent magnet linear synchronous actuator, the self inductances of this actuator are modeled. A two dimensional axi-symmetric finite element model is built for the actuator taking into account saturation effects. The inductance values are computed for different current densities, over one pole pitch, using the flux linkage approach. Multimodal interpolation of the finite element results is applied for inductance modeling. In this paper, firstly, the finite element results of inductances are stored on three response surfaces using MATLAB^® functions. Secondly, the inductance evolutions are analyzed and interpolated with multimodal interpolation functions forming new three dimensional inductance characteristics.