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An enhanced analytical technique based on winding function theory for analysis of induction motors
International Transactions on Electrical Energy Systems ( IF 1.9 ) Pub Date : 2021-03-14 , DOI: 10.1002/2050-7038.12863
Farhad Rezaee‐Alam 1 , Behrooz Rezaeealam 1
Affiliation  

An enhanced analytical technique based on winding function theory (WFT) is developed in this paper, which can be used for accurate electromagnetic modeling of the induction motors. The enhanced winding function theory (EWFT) acts based on the calculation of inductance matrix of stator and rotor windings while accurately consider the air‐gap length function and the magnetic saturation in iron parts, simultaneously. By using the conformal mappings (CMs), a modified air‐gap length function is presented for a typical wound rotor induction motor (WRIM), which considers the slot effect on flux tubes in slotted air‐gap. The finite element method (FEM) is used to confirm the accuracy of air‐gap length function obtained through EWFT. Compared to conventional WFT, EWFT is also redefined to consider the magnetic saturation by using the equivalent virtual winding functions. In real, the magneto motive force (MMF) drops in iron parts of stator and rotor obtained through magnetic equivalent circuit (MEC) are replaced with a virtual winding. In this paper, by using EWFT, a 3‐D lookup table is prepared in advance for elements of inductance matrix and their derivative, and it is then used to model the startup and steady‐state conditions of WRIM under different load torques. To confirm the accuracy of EWFT, the some corresponding results of EWFT, FEM, and experiment setup are finally compared.

中文翻译:

基于绕组函数理论的增强型分析技术用于感应电动机的分析

本文开发了一种基于绕组函数理论(WFT)的增强分析技术,该技术可用于感应电动机的精确电磁建模。增强绕组函数理论(EWFT)基于定子和转子绕组的电感矩阵的计算,同时精确地考虑了气隙长度函数和铁零件的磁饱和。通过使用共形映射(CMs),针对典型的绕线转子感应电动机(WRIM)提出了一种改进的气隙长度函数,该函数考虑了缝隙气隙中通量管上的缝隙效应。有限元方法(FEM)用于确认通过EWFT获得的气隙长度函数的准确性。与传统的WFT相比,还重新定义了EWFT,以通过使用等效虚拟绕组函数来考虑磁饱和。实际上,通过等效磁路(MEC)获得的定子和转子铁部件中的磁动势(MMF)下降被虚拟绕组代替。在本文中,通过使用EWFT,预先准备了一个3D查找表,用于查找电感矩阵及其导数的元素,然后将其用于对不同负载转矩下WRIM的启动和稳态条件进行建模。为了确认EWFT的准确性,最后比较了EWFT,FEM和实验设置的一些相应结果。预先为电感矩阵及其导数准备了一个3D查找表,然后将其用于在不同负载转矩下对WRIM的启动和稳态条件进行建模。为了确认EWFT的准确性,最后比较了EWFT,FEM和实验设置的一些相应结果。预先为电感矩阵及其导数准备了一个3D查找表,然后将其用于在不同负载转矩下对WRIM的启动和稳态条件进行建模。为了确认EWFT的准确性,最后比较了EWFT,FEM和实验设置的一些相应结果。
更新日期:2021-05-03
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