Mutual inductance for circular coils of rectangular cross section and parallel axes shielded by two parallel screens of high permeability

Yao Luo

Journal of Electromagnetic Waves and Applications, 2014, vol. 28, issue 18, 2256-2265

Abstract: The mutual inductance for the coils mentioned in the title is given in this paper, which is the generalization for the calculation method of the mutual inductance of the circular coils in the free space. Starting with the Bessel integral representation of the vector potential of a circular ring, the integral expressions of mutual inductance of the shielded circular rings with parallel axes are given by the calculation of the mutual magnetic energy, and the results are further continued analytically to the complex plane by introducing the Hankel function of the first kind, and then solved via the residue theorem. Additionally, the mutual inductance of the shielded thick coils is found based on the obtained results of the circular rings. Finally, the numerical results of the presented method are compared with those of the Finite Element Method simulations, and our method is confirmed by the good agreement between them in the numerical computations.

Date: 2014
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DOI: 10.1080/09205071.2014.963698

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