A Novel Analytical Equivalent Circuit for Single-Sided Linear Induction Motors Considering Secondary Leakage Reactance

Single-sided linear induction motors usually appear in magnetic levitation systems of transportation. Since the beginning of such developments, edge effects represent one of the great challenges to overcome in analytical modelling. For almost four decades, in order to simplify the mathematical treat...

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Main Authors: Daniel R. Gomes, Ivan E. Chabu
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/16/3/1261
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author Daniel R. Gomes
Ivan E. Chabu
author_facet Daniel R. Gomes
Ivan E. Chabu
author_sort Daniel R. Gomes
collection DOAJ
description Single-sided linear induction motors usually appear in magnetic levitation systems of transportation. Since the beginning of such developments, edge effects represent one of the great challenges to overcome in analytical modelling. For almost four decades, in order to simplify the mathematical treatment of border effects, most analytical models have not considered the secondary leakage flux properly. Although concise and accurate in most cases, such approaches have deficiencies in slotted secondaries. This paper presents an analytical equivalent circuit that considers the secondary reactance for both edge effects, i.e., entry and exit sides. The proposed approach uses an analogical RLC circuit which describes the behavior of magnetizing (exit) and demagnetizing (entry) waves, as well as adapted correction factors for transverse effects. By means of an 8 pole/120–175 N prototype, the measured thrust and vertical forces remarkably validate the model for frequencies equal or higher than 60 Hz. The relevance of secondary reactance in such cases can be explained by accounting its influence, specially, in the rise of the demagnetizing entry wave.
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spelling doaj.art-6ac055b38371477b8f92126a50c72fba2023-11-16T16:34:58ZengMDPI AGEnergies1996-10732023-01-01163126110.3390/en16031261A Novel Analytical Equivalent Circuit for Single-Sided Linear Induction Motors Considering Secondary Leakage ReactanceDaniel R. Gomes0Ivan E. Chabu1Department of Energy and Automation, Polytechnic School of University of São Paulo, São Paulo 05508-010, BrazilDepartment of Energy and Automation, Polytechnic School of University of São Paulo, São Paulo 05508-010, BrazilSingle-sided linear induction motors usually appear in magnetic levitation systems of transportation. Since the beginning of such developments, edge effects represent one of the great challenges to overcome in analytical modelling. For almost four decades, in order to simplify the mathematical treatment of border effects, most analytical models have not considered the secondary leakage flux properly. Although concise and accurate in most cases, such approaches have deficiencies in slotted secondaries. This paper presents an analytical equivalent circuit that considers the secondary reactance for both edge effects, i.e., entry and exit sides. The proposed approach uses an analogical RLC circuit which describes the behavior of magnetizing (exit) and demagnetizing (entry) waves, as well as adapted correction factors for transverse effects. By means of an 8 pole/120–175 N prototype, the measured thrust and vertical forces remarkably validate the model for frequencies equal or higher than 60 Hz. The relevance of secondary reactance in such cases can be explained by accounting its influence, specially, in the rise of the demagnetizing entry wave.https://www.mdpi.com/1996-1073/16/3/1261equivalent circuitsingle-sided linear induction motorslotted secondary leakage fluxlongitudinal end effects
spellingShingle Daniel R. Gomes
Ivan E. Chabu
A Novel Analytical Equivalent Circuit for Single-Sided Linear Induction Motors Considering Secondary Leakage Reactance
Energies
equivalent circuit
single-sided linear induction motor
slotted secondary leakage flux
longitudinal end effects
title A Novel Analytical Equivalent Circuit for Single-Sided Linear Induction Motors Considering Secondary Leakage Reactance
title_full A Novel Analytical Equivalent Circuit for Single-Sided Linear Induction Motors Considering Secondary Leakage Reactance
title_fullStr A Novel Analytical Equivalent Circuit for Single-Sided Linear Induction Motors Considering Secondary Leakage Reactance
title_full_unstemmed A Novel Analytical Equivalent Circuit for Single-Sided Linear Induction Motors Considering Secondary Leakage Reactance
title_short A Novel Analytical Equivalent Circuit for Single-Sided Linear Induction Motors Considering Secondary Leakage Reactance
title_sort novel analytical equivalent circuit for single sided linear induction motors considering secondary leakage reactance
topic equivalent circuit
single-sided linear induction motor
slotted secondary leakage flux
longitudinal end effects
url https://www.mdpi.com/1996-1073/16/3/1261
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