2020
DOI: 10.3390/act9030082
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Analytical Analysis of Magnetic Levitation Systems with Harmonic Voltage Input

Abstract: 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… Show more

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Cited by 7 publications
(7 citation statements)
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“…This allows for chattering reduction and faster convergence to the equilibrium point. In [ 31 ], an analytical method using Lagrange equations for the analysis of magnetic levitation (MagLev) systems is proposed. This provides for an interesting MagLev model which distinguishes 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.…”
Section: Materials and Methods: The Magnetic Levitation Systemmentioning
confidence: 99%
“…This allows for chattering reduction and faster convergence to the equilibrium point. In [ 31 ], an analytical method using Lagrange equations for the analysis of magnetic levitation (MagLev) systems is proposed. This provides for an interesting MagLev model which distinguishes 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.…”
Section: Materials and Methods: The Magnetic Levitation Systemmentioning
confidence: 99%
“…Magnetic levitation can be divided into four types based on principles, which are as follows: electromagnetic induction (Etxaniz et al , 2006; Maximov et al , 2020); the interaction between a permanent magnet and an electromagnet or DC coil (Dezza et al , 2000; Takinami et al , 2020); the interaction between two permanent magnets (Tang et al , 2021); and the interaction between the superconducting block and magnet (Hu and Zhai, 2021). …”
Section: Introductionmentioning
confidence: 99%
“…This method is suitable for solving the problem of one-dimensional oscillations. Based on the assumption that vertical movement dominates and that the vertical, lateral and torsional movements of the guideway are independent, in this article, attention will be focused mainly on the deflection of the vertical guideway when analyzing the Hyperloop/guideway interaction [22,23]. The methods of identification of guide bar wear are discussed in the publication [24].…”
Section: Introductionmentioning
confidence: 99%