Flux Linkage Approach Used for Phase Inductance Computation of a Three Phase Tubular Linear PM Synchronous Actuator

摘要

The modeling of electrical machines by equivalent circuits requires an appropriate calculation of inductance values. The energy-perturbation and flux-linkage methods are extremely used to determine inductance values of electrical machines from two-dimensional finite element solutions. Both methods are numerically equivalent and give approximately the same values of inductance for axi-symmetric structures. However, the flux-linkage method requires less computation resources and is numerically more robust than the energy perturbation method. Hence, the flux linkage approach is chosen, for two-dimensional inductance calculation of a three phase tubular linear PM synchronous actuator. In this paper, the total flux in the (a,b,c) frame work are obtained from FE method and therefore include saturation and cross-couplings. The resulting inductance values are computed for different current densities and over one pole pitch and then stored on 3D Matlab functions to be used in the dynamical actuator modeling.