Open AccessScaling relations for eddy current phenomena
Author(s) -
C.V. Dodd,
W.E. Deeds
Publication year - 1975
Language(s) - English
Resource type - Reports
DOI - 10.2172/4155082
Subject(s) - eddy current , scaling , axial symmetry , physics , vector potential , current (fluid) , scale (ratio) , relaxation (psychology) , electrical conductor , statistical physics , scaling law , mechanics , classical mechanics , magnetic field , mathematical analysis , mathematics , geometry , thermodynamics , quantum mechanics , psychology , social psychology
Formulas are given for various electromagnetic quantities for coils in the presence of conductors, with the scaling parameters factored out so that small-scale model experiments can be related to large-scale apparatus. Particular emphasis is given to such quantities as eddy current heating, forces, power, and induced magnetic fields. For axially symmetric problems, closed-form integrals are available for the vector potential and all the other quantities obtainable from it. For unsymmetrical problems, a three-dimensional relaxation program can be used to obtain the vector potential and then the derivable quantities. Data on experimental measurements are given to verify the validity of the scaling laws for forces, inductances, and impedances. Indirectly these also support the validity of the scaling of the vector potential and all of the other quantities obtained from it. (auth