Magnetic Equivalent Circuit and Lagrange Interpolation Function Modeling of Induction Machines Under Broken Bar Faults

Ahmed Hemeida, Md Masum Billah, Karolina Kudelina, Bilal Asad, Muhammad U. Naseer, Baocheng Guo, Floran Martin, Paavo Rasilo, Anouar Belahcen

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)
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Abstract

This paper introduces a mesh-based magnetic equivalent circuit (MEC) modeling technique for induction machines (IMs) in healthy and broken rotor bars conditions. The MEC model is presented as a highly accurate and computationally efficient alternative to finite element (FE) models. By incorporating modifications to the air gap coupling method, including a new Lagrange interpolation function, and utilizing a harmonic MEC model, the accuracy of the solution is improved while reducing electrical and mechanical transients. Compared to experiments and 2D FE models, this model achieves precise results for electromagnetic torque, rotational speed, and forces across various conditions. The Lagrange interpolation function forms the basis for the air gap coupling between stator and rotor flux densities. The results demonstrate the MEC model’s exceptional accuracy in predicting speed oscillations, calculating forces, and analyzing current harmonics in faulty IMs. Furthermore, the MEC model performs over 30 times faster than the 2D FE models.

Original languageEnglish
Article number8200704
JournalIEEE Transactions on Magnetics
Volume60
Issue number3
Early online date2023
DOIs
Publication statusPublished - Mar 2024
MoE publication typeA1 Journal article-refereed

Keywords

  • Air gaps
  • Atmospheric modeling
  • Bars
  • Broken rotor bar faults
  • Computational modeling
  • Integrated circuit modeling
  • Mathematical models
  • Rotors
  • induction machines
  • magnetic equivalent circuit (MEC)
  • non-linear
  • reluctance network (RN)

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