• Detailed comparative investigations on levitation prototypes of a ball and a rectangular plate of same mass using a novel analytical model and experiments

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      https://www.ias.ac.in/article/fulltext/sadh/046/0081

    • Keywords

       

      Specific permeance; lead compensator; electromagnetic levitation; analytical modelling; electromagnetic analysis; electromagnetic coil.

    • Abstract

       

      This paper presents a comparative study between lab-developed attraction-type levitation prototypes of two different objects with different geometries but, importantly, the same mass. Effects of continuous geometry without sharp corners in spherical ball vis-a-vis that of the plate having sharp corners introducesignificant changes in the analysis, operation and set-up development arising out of this subtle but characteristic geometric difference, which lead to change in configuration of field lines. This broadly reflects on the design, finite-element analysis, modelling, stability analysis, fabrication and controller design. The challenges and stepwise procedures in design and fabrication for this change from a spherical shape to cuboid shape for the same mass of levitated object have been highlighted in this work. Inductance, force and current vs. air-gapcharacteristics, etc. have been determined first using the proposed novel and simplified analytical formulation and then using finite-element (FE)-analysis-based software packages. Particularly, specific permeance-based approach originally proposed by Robert Pohl for inductor alternators having double saliency is extended here successfully for analytical formulation that has not been adopted by other researchers. The proposed analytical model can be used to obtain a sufficiently accurate design, starting from nominal ratings, and hence for building the model geometry for the FEM analysis. The FEM analysis cannot be conducted unless one has the model geometric dimensions. The results thus obtained have been verified by actual experiments too. Thereafter, the mathematical models for control of the systems have been derived analytically. There exists a good agreement between predicted and measured results. This implies that the system modelling is precise, which leads to accurate design and implementation of controllers. Analog controllers have been designed, analysed, implemented and practically experimented upon with steady levitated position for both the systems.

    • Author Affiliations

       

      JANARDAN KUNDU1 MAINAK SENGUPTA1

      1. Department of Electrical Engineering, Indian Institute of Engineering Science and Technology, Shibpur 711103, India
    • Dates

       
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