Mathematical Derivation of Current Reference for Radial-Force Sum Flattening in Switched Reluctance Motors

Switched reluctance motors generate a variation of radial forces upon the stator poles, causing considerable vibration and acoustic noise. This paper introduces a novel mathematical derivation of the current waveform to flatten the radial-force sum. The proposed mathematical method takes into consideration the phase shifts of three current components, hence providing a comprehensive flattening solution. The proposed method was implemented and validated through 3D finite element analysis, on an 18/12 switched reluctance motor. The results illustrated an effective correspondence between the proposed mathematical method and the simulation model, as well as reducing the acoustic noise components, especially the third and sixth components.