Derivation of an analytical model for the force produced during the motion of a magnetically suspended object

Craig, David; Khamesee, Mir Behrad

doi:10.1109/icma.2005.1626683

Cited by 2 publications

(1 citation statement)

References 9 publications

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“…Equation (33) was obtained by curve fitting of experimental measurements. The procedure to obtain the levitation force formed by a magnetic drive unit with two electromagnets and a pole piece was explained in a previous study [24].…”

Section: Experimental Verification and Discussionmentioning

confidence: 99%

Modeling and Analysis of Eddy-Current Damping for High-Precision Magnetic Levitation of a Small Magnet

2007

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This paper presents modeling and analysis of eddy-current damping that is formed by a conductive plate placed below the levitating object in order to suppress vibrations and ensure stability. It is demonstrated that vibrations should be damped to preserve stability and precision especially for stepwise motion. The levitated object is a small permanent magnet in our experiments. A magnetic drive unit is used for vertical motion of the magnet. Eddy-current distribution in the plate is calculated by solving diffusion equation for vector magnetic potential. The eddy force applied to the object is derived by a coil model representation. It is shown that if a 20 mm radius, 9 mm thick aluminum circular plate is used for eddy-current damping, the levitated object can closely follow a step input with a steadystate precision varying between 0.04 and 0.07 mm depending on the plate object distance. Eddy-current damping is a key technique that improves levitation performance to increase the diversity of applications of magnetic levitation systems in micromanipulation and microelectronic fabrication.

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Section: Experimental Verification and Discussionmentioning

confidence: 99%