2-D quasi-static solution of a coil in relative motion to a conducting plate. Issue 4 (3rd July 2017)

• Record Type: Journal Article
• Authors: Abdelqader, Majd; Morelli, Jordan; Palka, Ryszard; Woronowicz, Konrad
• Is Part Of: Compel. Volume 36:Issue 4(2017)
• Page Start: 980
• Page End: 990
• Publication Date: 2017-07-03
• Subjects: Magnetic levitation -- Eddy currents -- Finite element analysis -- Linear induction motor -- Fourier series; Electrical engineering -- Data Processing -- Periodicals; Electrical engineering -- Mathematics -- Periodicals; Electrical engineering -- Periodicals; Electronics -- Data Processing -- Periodicals; Electronics -- Mathematics -- Periodicals; 621.3
• DOI: 10.1108/COMPEL-07-2016-0312
• Languages: English
• ISSNs: 0332-1649

Abstract

Abstract : Purpose: The aim of this paper is to present a method for calculating the electromagnetic fields, forces and current density distribution using Fourier series for a two-dimensional quasi steady state model consisting of a conducting uniform plate moving relative to an arbitrary current source with time harmonic excitation. Design/methodology/approach: The presented solution is valid for an arbitrary source. A specific source is chosen consisting of a single coil made up of two-time harmonic current filaments. The solutions are derived and presented in a form that allows its expansion to include an arbitrary number of spatially shifted coils conducting arbitrary harmonic currents. Findings: The analytical solution is compared to simulations produced using commercial finite element analysis software, ANSYS Maxwell2D and COMSOL, and is found to be in good agreement. The analytical solution provides a direct method to analyze the spatial harmonics in the system and can be computationally significantly faster especially at high relative speeds between the primary source and conducting plate. Originality/value: The presented Fourier series solution is applied to simple 2-D model of a single coil with AC current excitation moving relative to a conducting plate. An analytical solution and analysis of this system has not been presented before, to the authors' knowledge, using Fourier series or any other method.