Abstract:In light of magnetic saturation and radial displacements in bearingless switched reluctance motors(BSRM), a novel integrative mathematical model was proposed. Based on the finite element analysis of motor magnetic field, the radial force and torque expressions about gas magnetic densities were obtained by Maxwell stress tensor method. The nonlinear gas magnetic densities were calculated based on single equivalent magnetic circuit combined with the nonlinear magnetization characteristic of iron core. At last, the integrative mathematical model of BSRM was established and verified by finite element analysis of a prototype as an example. The results show that this model can fit for both magnetic saturated and unsaturated working states. So it can remedy the shortcomings of existing models based on nonsaturation hypothesis, which are not suitable for magneticsaturated condition.