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Effective transverse resistivity in superconducting tapes with various filament shapes and structures

When a multi-filamentary superconductor is exposed to an alternating external magnetic field, coupling-current loss is a significant part of the magnetization loss. The coupling-current loss at low magnetic-field frequencies is determined by the effective transverse resistivity of the inner filamentary region. The effective resistivity is calculated for various shapes and structures of the inner filaments. Bi-2223/Ag tapes typically have filaments with a high aspect ratio, causing an anisotropic transverse resistivity. When there is no contact resistance between the filaments and the matrix material, the presence of the filaments decreases the effective resistivity. The decrease is greatest for overlapping filaments whose wide sides are oriented parallel to the external magnetic field. Good insulating barriers result in a high contact resistance from the filaments to the matrix. Then the effective resistivity is greatly increased, especially for overlapping filaments that are oriented perpendicularly to the magnetic field. The results are relevant for the calculation of the coupling-current loss in Bi-2223 tapes with twisted filaments.