Purpose

This paper aims to propose an improved two-dimensional hybrid analytical method (HAM) in Cartesian coordinates, based on the exact subdomain technique and the magnetic equivalent circuit (MEC).

Design/methodology/approach

The magnetic field solution is obtained by coupling an exact analytical model (AM), calculated in all regions having relative permeability equal to unity, with a MEC, using a nodal-mesh formulation (i.e. Kirchhoff’s current law) in ferromagnetic regions. The AM and MEC are connected in both axes (x, y) of the (non-)periodicity direction (i.e. in the interface between the tooth regions and all its adjacent regions as slots and/or air-gap). To provide accuracy solutions, the current density distribution in slot regions is modeled by using Maxwell’s equations instead of the MEC characterized by an equivalent magnetomotive force (MMF) located in slots, teeth and yokes.

Findings

It is found that whatever the iron core relative permeability, the developed HAM gives accurate results for no- and on-load conditions. The finite-element analysis demonstrates excellent results of the developed technique.

Originality/value

The main objective of this paper is to make a direct coupling between the AM and MEC in both directions (i.e. x- and y-edges). The current density distribution is modeled by using Maxwell’s equations instead of the MEC and characterized by an MMF.

中文翻译：

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改进型二维混合解析法计算双转子平面永磁直线电机解析磁场

目的

本文旨在提出一种基于精确子域技术和磁等效电路 (MEC) 的改进的笛卡尔坐标二维混合分析方法 (HAM)。

设计/方法/方法

磁场解是通过在铁磁区域中使用节点网格公式（即基尔霍夫电流定律）将在所有相对磁导率等于 1 的区域中计算的精确分析模型 (AM) 与 MEC 耦合来获得的。AM和MEC在（非）周期性方向的两个轴（x，y）上（即，在齿区域与其作为槽和/或气隙的所有相邻区域之间的界面中）连接。为了提供精确的解决方案，槽区域中的电流密度分布通过使用麦克斯韦方程而不是 MEC 进行建模，MEC 以位于槽、齿和轭中的等效磁动势 (MMF) 为特征。

发现

发现无论铁芯的相对磁导率如何，开发的 HAM 都能为空载和负载条件提供准确的结果。有限元分析证明了所开发技术的优异结果。

原创性/价值

本文的主要目标是在两个方向（即x和y边缘）上在 AM 和 MEC 之间进行直接耦合。电流密度分布是通过使用麦克斯韦方程而不是 MEC 来建模的，并以 MMF 为特征。