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.

中文翻译：

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具有对齐磁铁和磁阻转矩的内部 PMSM 的数学模型

机器的数学建模可以更好地理解，并且可以洞察每个变量对机器动力学的影响。本文开发了具有对齐磁体和磁阻转矩的新型移位内部永磁同步电机 (IPMSM) 的数学模型。它是一类新的 IPMSM，其中磁通屏障经过修改，使磁体和磁阻轴的相对位置从它们的常规位置发生偏移。轴之间的偏移角度设计为使得机器中的磁体和磁阻扭矩在相同的扭矩角度下具有最大值。为了验证开发的数学模型，构建了原型电机。本文还介绍了实验测试，以获得开发模型中原型机的参数，