New magnetic force expressions of the system: filamentary circular coil-massive circular solenoid with rectangular cross section

  • Authors:

  • Slobodan I. Babic;Cevdet Akyel

  • Affiliations:

  • Département de Génie Électrique & de Géénie Informatique, École Polytechnique de Montréal, Montréal, Québec Canada;Département de Génie Électrique & de Géénie Informatique, École Polytechnique de Montréal, Montréal, Québec Canada

  • Venue:
  • ICC'05 Proceedings of the 9th International Conference on Circuits
  • Year:
  • 2005

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Abstract

New and fast procedures for calculating the magnetic force between a thin circular filament coil and a massive circular solenoid with rectangular cross section in air are presented. These results are expressed in terms of the complete elliptical integrals of the first and second kind, Heumann's Lambda function and one term that has to be solved numerically. The Gaussian numerical integration is used. These new expressions are accurate and simple to apply for technical applications. Also, another comparative method based on an approximation of the massive solenoid by Maxwell coils is given. The paper discusses the computational cost and the accuracy. Results obtained by the two approaches are in excellent agreement.