Calculating the unsaturated inductance of 4/2 switched reluctance motors at arbitrary rotor positions based on partial differential equations of magnetic potentials

Phase inductance is a key parameter in switched reluctance motor (SRM) design because torque and the dynamics of phase voltages and currents are directly related to inductance. Therefore, accurate calculation of the inductance at arbitrary rotor positions is important in determining the SRM behavior. Contrary to the popular but time-consuming approach to determine the flux linkage and inductance of a SRM with finite element analysis (FEA), this paper proposes a novel analytical solution based on the partial differential equations of magnetic potentials to calculate the inductance profile of a 4/2 SRM with respect to rotor position, which makes the inductance prediction more time-efficient. The accuracy of this method is validated by comparing its estimated inductance profile to the inductance obtained by FEA.