The mathematical model of the thermal process in Spoke-Type Permanent Magnet Synchronous Machines

Visnik Kharkivs''kogo natsional''nogo universitetu imeni VN Karazina Seriia Matematichne modeliuvannia informatsiini tekhnologiyi avtomatizovani sistemi upravlinnia Pub Date : 2020-01-01 DOI:10.26565/2304-6201-2020-45-05

O. Demyanchenko, E. Kobilskaya, V. Lyashenko, T. Nabok

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Abstract

This paper presents an mathematical model for the prediction of temperature field distribution in spoke-type permanent magnet synchronous machines. The mathematical model takes into account radial heat transfer streams; it is presented as a boundary problem in a multilayer non-canonical region with conjugation conditions at the boundaries of the layers, with different thermal physical properties. The entire study area is divided into five types of simple subdomains, including a shaft, an inner fan-shaped magnet, an outer fan-shaped magnet, a slot opening and a slot. Moreover, on the border of the inner and outer fan-shaped magnets in slot opening and a slot, we have an perfect thermal contact. The problem is solved by the finite element method. Using the results of numerical experiments, the model allows you to control the temperature field of the machine, allows you to calculate the temperature distribution in its individual parts.

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轮辐式永磁同步电机热过程的数学模型

提出了一种预测轮辐式永磁同步电机温度场分布的数学模型。数学模型考虑了径向传热流;它被描述为具有不同热物理性质的多层非正则区域的边界问题，在层的边界处有共轭条件。整个研究区域被划分为5种简单的子域，包括轴、内扇形磁铁、外扇形磁铁、槽口和槽口。此外，在内外扇形磁铁的边界处开槽和开槽，我们有一个完美的热接触。用有限元法求解了该问题。利用数值实验的结果，该模型允许您控制机器的温度场，允许您计算其各个部件的温度分布。

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Visnik Kharkivs''kogo natsional''nogo universitetu imeni VN Karazina Seriia Matematichne modeliuvannia informatsiini tekhnologiyi avtomatizovani sistemi upravlinnia

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