Comparison between 2-D and 0-D analytical models for slotless double-sided inner armature linear permanent magnet synchronous machines

This article compares the 2-D and 0-D analytical models for the slotless double-sided inner armature linear permanent magnet synchronous machines (SDSIALPMSMs). The sub-domain method is implemented to achieve the 2-D analytical model. In this method, the cross-section of the motor is divided into eleven sub-regions and the Maxwell equations are determined for each sub-region. In the presented 0-D model, a magnetic equivalent circuit (MEC) is derived to compute the maximum magnetic flux density in the air-gap. In both approaches, the magnetic flux density is analytically calculated to predict the inductance, induced voltage, flux linkage and electromagnetic forces. Ultimately, the results of both analytical models are validated against those of the 3-D finite-element method (FEM) analysis. These results confirm the superiority of the 2-D analytical model compared with that of the 0-D in the terms of the accuracy of the magnetic flux density, induced voltage, self and mutual inductances as well as the tangential and normal electromagnetic forces. Also, less computational time of the described 2-D analytical model is recognized as a merit compared with FEM models.