Table of Contents
Advances in Electrical Engineering
Volume 2016 (2016), Article ID 3654021, 6 pages
http://dx.doi.org/10.1155/2016/3654021
Research Article

Mutual Inductance and Magnetic Force Calculations for Bitter Disk Coil (Pancake) with Nonlinear Radial Current and Filamentary Circular Coil with Azimuthal Current

1Département de Génie Physique, École Polytechnique, CP 6079, Succ. Centre Ville, Montréal, QC, Canada H3C 3A7
2Département de Génie Électrique, École Polytechnique, CP 6079, Succ. Centre Ville, Montréal, QC, Canada H3C 3A7

Received 12 June 2016; Revised 8 August 2016; Accepted 22 August 2016

Academic Editor: Gorazd Stumberger

Copyright © 2016 Slobodan Babic and Cevdet Akyel. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Bitter coils are electromagnets used for the generation of extremely strong magnetic fields superior to 30 T. In this paper we calculate the mutual inductance and the magnetic force between Bitter disk (pancake) coil with the nonlinear radial current and the circular filamentary coil with the azimuthal current. The close form expressed over complete elliptic integrals of the first and second kind as well as Heuman’s Lambda function is obtained for this configuration either for the mutual inductance or for the magnetic force. The results of this method are compared with those obtained by the improved modified filament method for the presented configuration. All results are in an excellent agreement.