Asymptotic analysis of magnetic induction with high frequency for solid conductors. (English) Zbl 0915.65125

This paper describes the behaviour in time and in space of an induction field created by an imposed high frequency alternating current around a solid conductor. Two time scales have been used. The induction field is decomposed in a mean field and an oscillating field. With the help of singular perturbations theory and the multiple scales method, two uncoupled models are obtained. For a cross section of a solid column of metal, two first terms of the asymptotic expansion of the induction field are build. In the case of a cylinder column, the previous results are applied by computing numerically the induction for different values of the frequency.


65Z05 Applications to the sciences
35Q60 PDEs in connection with optics and electromagnetic theory
78A25 Electromagnetic theory (general)
Full Text: DOI EuDML


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