The existing mathematical models based on the assumption of magnetic unsaturation for bearingless switched reluctance motors have limitations

as they are only suitable for non-magnetically saturated conditions. A comprehensive radial force mathematical model is developed for a wide rotor single-winding bearingless switched reluctance motor

taking into account the effects of magnetic saturation. Firstly

based on the finite element analysis of the motor’s magnetic field

the expression for the radial force in terms of the air gap magnetic density is derived using the Maxwell stress method. Next

the nonlinear magnetization characteristics of the iron core material are fitted

and the air gap magnetic density

accounting for the effects of magnetic saturation

is calculated using the motor’s equivalent magnetic circuit. Subsequently

the radial force model of the motor is established. After comparing and analyzing the influence of edge air gap magnetic density and main air gap flux density on the radial force

the developed radial force model is simplified to reduce computational complexity. Finally

the model is validated through finite element analysis. The results indicate that the established radial mathematic model is applicable to the motor under conditions of magnetic unsaturation

partial magnetic saturation

and complete magnetic saturation. The development of a full-period radial force model considering magnetic saturation provides a more accurate theoretical reference for the analysis of motor operating characteristics

structural optimization design

and control strategy research.