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Winding Tensor Approach for the Analytical Computation of the Inductance Matrix in Eccentric Induction Machines
Induction machines (IMs) are critical components of many industrial processes, what justifies the use of condition-based maintenance (CBM) systems for detecting their faults at an early stage, in order to avoid costly breakdowns of production lines. The development of CBM systems for IMs relies on t...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2020
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7378773/ https://www.ncbi.nlm.nih.gov/pubmed/32481710 http://dx.doi.org/10.3390/s20113058 |
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author | Martinez-Roman, Javier Puche-Panadero, Ruben Sapena-Bano, Angel Pineda-Sanchez, Manuel Perez-Cruz, Juan Riera-Guasp, Martin |
author_facet | Martinez-Roman, Javier Puche-Panadero, Ruben Sapena-Bano, Angel Pineda-Sanchez, Manuel Perez-Cruz, Juan Riera-Guasp, Martin |
author_sort | Martinez-Roman, Javier |
collection | PubMed |
description | Induction machines (IMs) are critical components of many industrial processes, what justifies the use of condition-based maintenance (CBM) systems for detecting their faults at an early stage, in order to avoid costly breakdowns of production lines. The development of CBM systems for IMs relies on the use of fast models that can accurately simulate the machine in faulty conditions. In particular, IM models must be able to reproduce the characteristic harmonics that the IM faults impress in the spatial waves of the air gap magneto-motive force (MMF), due to the complex interactions between spatial and time harmonics. A common type of fault is the eccentricity of the rotor core, which provokes an unbalanced magnetic pull, and can lead to destructive rotor-stator rub. Models developed using the finite element method (FEM) can achieve the required accuracy, but their high computational costs hinder their use in online CBM systems. Analytical models are much faster, but they need an inductance matrix that takes into account the asymmetries generated by the eccentricity fault. Building the inductance matrix for eccentric IMs using traditional techniques, such as the winding function approach (WFA), is a highly complex task, because these functions depend on the combined effect of the winding layout and of the air gap asymmetry. In this paper, a novel method for the fast and simple computation of the inductance matrix for eccentric IMs is presented, which decouples the influence of the air gap asymmetry and of the winding configuration using two independent tensors. It is based on the construction of a primitive inductance tensor, which formulates the eccentricity fault using single conductors as the simplest reference frame; and a winding tensor that converts it into the inductance matrix of a particular machine, taking into account the configuration of the windings. The proposed approach applies routine procedures from tensor algebra for performing such transformation in a simple way. It is theoretically explained and experimentally validated with a commercial induction motor with a mixed eccentricity fault. |
format | Online Article Text |
id | pubmed-7378773 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-73787732020-08-05 Winding Tensor Approach for the Analytical Computation of the Inductance Matrix in Eccentric Induction Machines Martinez-Roman, Javier Puche-Panadero, Ruben Sapena-Bano, Angel Pineda-Sanchez, Manuel Perez-Cruz, Juan Riera-Guasp, Martin Sensors (Basel) Article Induction machines (IMs) are critical components of many industrial processes, what justifies the use of condition-based maintenance (CBM) systems for detecting their faults at an early stage, in order to avoid costly breakdowns of production lines. The development of CBM systems for IMs relies on the use of fast models that can accurately simulate the machine in faulty conditions. In particular, IM models must be able to reproduce the characteristic harmonics that the IM faults impress in the spatial waves of the air gap magneto-motive force (MMF), due to the complex interactions between spatial and time harmonics. A common type of fault is the eccentricity of the rotor core, which provokes an unbalanced magnetic pull, and can lead to destructive rotor-stator rub. Models developed using the finite element method (FEM) can achieve the required accuracy, but their high computational costs hinder their use in online CBM systems. Analytical models are much faster, but they need an inductance matrix that takes into account the asymmetries generated by the eccentricity fault. Building the inductance matrix for eccentric IMs using traditional techniques, such as the winding function approach (WFA), is a highly complex task, because these functions depend on the combined effect of the winding layout and of the air gap asymmetry. In this paper, a novel method for the fast and simple computation of the inductance matrix for eccentric IMs is presented, which decouples the influence of the air gap asymmetry and of the winding configuration using two independent tensors. It is based on the construction of a primitive inductance tensor, which formulates the eccentricity fault using single conductors as the simplest reference frame; and a winding tensor that converts it into the inductance matrix of a particular machine, taking into account the configuration of the windings. The proposed approach applies routine procedures from tensor algebra for performing such transformation in a simple way. It is theoretically explained and experimentally validated with a commercial induction motor with a mixed eccentricity fault. MDPI 2020-05-28 /pmc/articles/PMC7378773/ /pubmed/32481710 http://dx.doi.org/10.3390/s20113058 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Martinez-Roman, Javier Puche-Panadero, Ruben Sapena-Bano, Angel Pineda-Sanchez, Manuel Perez-Cruz, Juan Riera-Guasp, Martin Winding Tensor Approach for the Analytical Computation of the Inductance Matrix in Eccentric Induction Machines |
title | Winding Tensor Approach for the Analytical Computation of the Inductance Matrix in Eccentric Induction Machines |
title_full | Winding Tensor Approach for the Analytical Computation of the Inductance Matrix in Eccentric Induction Machines |
title_fullStr | Winding Tensor Approach for the Analytical Computation of the Inductance Matrix in Eccentric Induction Machines |
title_full_unstemmed | Winding Tensor Approach for the Analytical Computation of the Inductance Matrix in Eccentric Induction Machines |
title_short | Winding Tensor Approach for the Analytical Computation of the Inductance Matrix in Eccentric Induction Machines |
title_sort | winding tensor approach for the analytical computation of the inductance matrix in eccentric induction machines |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7378773/ https://www.ncbi.nlm.nih.gov/pubmed/32481710 http://dx.doi.org/10.3390/s20113058 |
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