Mathematical Model of an Interior PMSM With Aligned Magnet and Reluctance Torques

Mathematical modeling of a machine allows a better understanding, and it gives insight on the effect of each variable on the machine dynamics. This article develops the mathematical model of a novel shifted interior permanent magnet synchronous machine (IPMSM) with aligned magnet and reluctance torques. It is a new class of IPMSM where the flux barrier is modified in such a way that the relative positions of the magnet and reluctance axes shift from their regular positions. The angle of shift between the axes is designed such that the magnet and reluctance torques in the machine have their maximum values at the same torque angle. In order to validate the developed mathematical model, a prototype motor is built. This article also presents experimental tests to obtain the parameters of the prototype machine in the developed model, and the model is verified by comparing the torque-angle and torque-speed characteristics obtained using the model with the experimental results obtained on the prototype machine.