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Current distribution maps in large YBCO melt-textured blocks M. Carrera a,*, J. Amoroos b

Summary: Current distribution maps in large YBCO melt-textured blocks
M. Carrera a,*, J. Amoroos b
, A.E. Carrillo c
, X. Obradors c,*, J. Fontcuberta c
Dep. Medi Ambient i Cieencies del Sool, Universitat de Lleida, Jaume II, 69, 25001 Lleida, Spain
Dep. Matemaatica Aplicada I, Universitat Politeecnica de Catalunya, Diagonal 647, 08028 Barcelona, Spain
Institut de Cieencia de Materials de Barcelona, CSIC, Campus UAB, 08193 Bellaterra, Spain
Received 30 October 2002; accepted 31 October 2002
We report on the progress on computing the current maps from the magnetic induction in bulk samples of YBCO
melt-textured compounds. Typical sample size is in the cm range and induction maps Bzðx; y; zÞ are obtained by Hall
probe measurements. Currents are obtained by solving the inverse Biot­Savart problem. No assumption is required on
the number of domains or geometry of the sample; the only constraint in the model is that the current circulation should
be confined in the basal plane and uniform in the sample thickness. A current map with a resolution of 0.25­0.5 mm is
typically obtained. Critical tests of the stability and accuracy of the current flow solutions have been performed. We
have applied the algorithms to remanent flux maps obtained after both FC and ZFC magnetization processes. The
algorithms can be readily used and thus can constitute a helpful tool for superconductivity engineers. The use of our


Source: Amoros, Jaume - Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya


Collections: Mathematics