Semianalytical modeling of squirrel-cage induction machines with consideration of iron permeability and eddy-currents using elementary subdomain technique

COMPEL Pub Date : 2024-01-23 DOI:10.1108/compel-06-2023-0219
Lazhar Roubache, Kamel Boughrara, Frédéric Dubas, Brahim Ladghem Chikouche, Rachid Ibtiouen
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Abstract

Purpose

This paper aims to propose a semianalytical model of a squirrel-cage induction machine (SCIM), considering local magnetic saturation and eddy-currents induced in the rotor bars.

Design/methodology/approach

The regions of the rotor and stator are divided into elementary subdomains (E-SDs) characterized by general solutions at the first harmonic of the magneto-harmonic Maxwell’s equations. These E-SDs are connected in both directions (i.e., along the r- and θ-edges).

Findings

The calculation of the magnetic field has been validated for various values of slip and iron permeability. All electromagnetic quantities were compared with those obtained using a two-dimensional finite-element method. The semianalytical results are satisfactory compared with the numerical results, considering both the amplitude and waveform.

Originality/value

Expansion of the recent analytical model (E-SD technique) for the full prediction of the magnetic field in SCIMs, considering the local saturation effect and the eddy-currents induced in the rotor bars.

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使用基本子域技术建立考虑铁磁导磁率和涡流的鼠笼式感应机半分析模型
设计/方法/途径转子和定子区域被划分为基本子域 (E-SD),其特征是磁谐波麦克斯韦方程第一次谐波的一般解。这些 E-SD 在两个方向上(即沿 r 边和θ 边)相连。所有电磁量都与使用二维有限元方法获得的电磁量进行了比较。考虑到振幅和波形,半解析结果与数值结果相比都令人满意。原创性/价值扩展了最新的分析模型(E-SD 技术),用于全面预测 SCIM 中的磁场,并考虑了局部饱和效应和在转子杆中诱发的涡流。
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