2-D quasi-static solution of a coil in relative motion to a conducting plate

• Majd Abdelqader ^[1] ; Jordan Morelli ^[1] ; Ryszard Palka ^[2] ; Konrad Woronowicz ^[3]
  1. [1] Queen's University

     Queen's University

     Canadá

     
  2. [2] West Pomeranian University of Technology

     West Pomeranian University of Technology

     Szczecin, Polonia

     
  3. [3] Bombardier Transportation

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• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 36, Nº 4, 2017, págs. 980-990
• Idioma: inglés
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• Resumen

  • 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.