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Field Distributions Around a Long Opening in a Metallic Half Space Excited by Arbitrary-Frequency Alternating Current-Carrying Wires of Arbitrary Shape

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3 Author(s)
Ostovarzadeh, M.H. ; Dept. of Electr. Eng., Amirkabir Univ. of Technol., Tehran, Iran ; Hesamedin Sadeghi, S.H. ; Moini, R.

We propose a semianalytical solution for evaluation of field distributions around a long opening in a metallic conductive half space excited by a three-dimensional current-carrying inducer at arbitrary frequency. The governing Helmholtz equation is solved in three dimensions by separation of variables. The solution is obtained by developing a two-dimensional (2-D) Fourier series model and using exponential functions in the third dimension. To expand all possible field distributions in the metal, we assume it as a lossy material with very large loss-tangent. The displacement current in the metal opening is regarded to have a nonzero value accordingly. After imposing boundary conditions and mode matching technique, a system of AX=B is solved to obtain the unknown coefficients. The proposed model is found to be consistent with the existing 2-D model and in excellent agreement with those obtained numerically using a finite integration code.

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Magnetics, IEEE Transactions on  (Volume:47 ,  Issue: 11 )