Analytical Analysis of Magnetic Levitation Systems with Harmonic Voltage Input

In this paper, a new analytical method using Lagrange equations for the analysis of magnetic levitation (MagLev) systems is proposed, using Thomson’s jumping ring experiment. The method establishes the dependence of the primary and induced currents, and also the equilibrium height of the levitating...

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Bibliographic Details
Published inActuators Vol. 9; no. 3; p. 82
Main Authors Maximov, Serguei, Gonzalez-Montañez, Felipe, Escarela-Perez, Rafael, Olivares-Galvan, Juan Carlos, Ascencion-Mestiza, Hector
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.09.2020
Subjects
Aluminum
aluminum ring
copper coil
Dynamic models
Electric potential
Empirical analysis
Euler-Lagrange equation
Exact solutions
ferromagnetic material
Formulas (mathematics)
Inductance
Magnetic levitation
Magnetic levitation systems
mutual inductance
Permeability
Shock absorbers
Thomson’s jumping ring
Transient operation
Voltage
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Summary:In this paper, a new analytical method using Lagrange equations for the analysis of magnetic levitation (MagLev) systems is proposed, using Thomson’s jumping ring experiment. The method establishes the dependence of the primary and induced currents, and also the equilibrium height of the levitating object on the input voltage through the mutual inductance of the system. The mutual inductance is calculated in two ways: (i) by employing analytical formula; (ii) through an improved semi-empirical formula based on both measurements and analytical results. The obtained MagLev model was analyzed both analytically and numerically. Analytical solutions to the resulting equations were found for the case of a dynamic equilibrium. The numerical results obtained for the dynamical model under transient operation show a close correspondence with the experimental results. The good precision of the analytical and numerical results demonstrates that the developed method can be effectively implemented.
ISSN:2076-0825
2076-0825
DOI:10.3390/act9030082