Purpose

This paper aims to develop a new quasi-three dimensional (3D) analytical model devoted to the study of nonlinear transient magneto-thermal coupled problems in permanent magnet (PM) transverse flux induction heating device (TFIHD).

Design/methodology/approach

The presented work is based on analytical development of strongly coupled problem, including electromagnetic and thermal boundary problems. The electromagnetic problem is first solved by using the separation variables method to evaluate the induced currents in the nonmagnetic plate and the resulting power density loss distribution. The plate temperature profile is then obtained thanks to strong involvement of this magnetic model in a new analytical thermal model combining the separation of variables method and the Green’s functions transient regime analysis method. The coupled model is then used in a simulation procedure of the magneto-thermal process allowing taking into account the workpiece electrothermal nonlinear properties. The developed coupled model is validated by computing the performances of the studied PM TFIHD and comparing them to those obtained by finite element simulations.

Finding

An efficient transient quasi-3D magneto-thermal analytical model is developed allowing rapid analysis of PM induction heating for core heating of parallelepiped parts. The developed model also allows fast and accurate simulations of nonlinear and transient three dimensional (3D) magneto-thermal phenomena for planar induction heaters.

Research limitations implications

The developed quasi-3D magneto-thermal analytical model is limited to design induction heating devices of planar structure with PM inductors.

Originality/value

A new transient quasi-3D magneto-thermal analytical model accounts for non-linearity and edge effect and helps to fast study and fast design of linear permanent magnet induction heating device.

中文翻译：

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永磁感应加热装置中的瞬态准3D磁热分析解决方案

目的

本文旨在开发一种新的准三维（3D）分析模型，用于研究永磁体（PM）横向磁通感应加热装置（TFIHD）中的非线性瞬态磁热耦合问题。

设计/方法/方法

提出的工作基于对强耦合问题（包括电磁和热边界问题）的分析发展。首先，通过使用分离变量方法评估非磁性板中的感应电流以及由此产生的功率密度损耗分布，可以解决电磁问题。由于该磁模型在新的分析热模型中的强大参与，因此获得了板温度曲线，该模型结合了变量分离方法和格林函数瞬态状态分析方法。然后将耦合模型用于磁热过程的仿真过程中，从而考虑到工件的电热非线性特性。

寻找

建立了有效的瞬态准3D磁热分析模型，可以快速分析PM感应加热，以对平行六面体零件进行芯部加热。所开发的模型还允许对平面感应加热器的非线性和瞬态三维（3D）磁热现象进行快速，准确的仿真。

研究局限性

开发的准3D磁热分析模型仅限于设计带有PM感应器的平面结构的感应加热设备。

创意/价值

一个新的瞬态准3D磁热分析模型考虑了非线性和边缘效应，有助于快速研究和快速设计线性永磁感应加热装置。