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Two-Dimensional Fourier-Based Modeling of Electric Machines—An Overview

机译：基于二维傅立叶的电机建模—概述

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摘要

An increasing need for fast and reliable models has led to a continuous development of Fourier-based (FB) analytical modeling. This paper presents an overview of the techniques that are currently available in FB modeling for electric machines. By coupling that overview to the most relevant literature related to the subject, an interesting starting point is provided for anyone who wants to use or improve FB models. The following seven aspects of FB models are discussed in detail: 1) the magnetic potential (scalar or vector potential); 2) the coordinate system and the solution of the partial-differential equations for each magnetic potential and for each coordinate system; 3) the way in which time dependence is accounted for; 4) the implementation of the source terms; 5) the possibilities to account for slotted structures; 6) the modeling of eccentricity; and 7) the post-processing computation of physical quantities, such as flux density, electromotive force, torque, losses, and eddy currents in conductive objects. Furthermore, this paper gives the closed form solution of the Laplace, Poisson, and Helmholtz equations in each coordinate system. In addition, this paper tackles other important features of FB models such as computational time reduction and coupling the machine model to an electric circuit.
机译：对快速可靠的模型的日益增长的需求导致基于傅立叶（FB）的分析模型的不断发展。本文概述了电机FB建模中当前可用的技术。通过将该概述与与该主题相关的最相关文献相结合，可以为想要使用或改进FB模型的任何人提供一个有趣的起点。 FB模型的以下七个方面进行了详细讨论：1）磁势（标量或矢量势）； 2）每个磁势和每个坐标系的坐标系和偏微分方程的解； 3）解释时间依赖性的方式； 4）执行源条款； 5）考虑开槽结构的可能性； 6）偏心建模； 7）物理量的后处理计算，例如导电物体中的磁通密度，电动势，转矩，损耗和涡流。此外，本文给出了每个坐标系中Laplace，Poisson和Helmholtz方程的闭式解。此外，本文还讨论了FB模型的其他重要功能，例如减少了计算时间并将机器模型耦合到电路。

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