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# A Boundary Integral Formulation on Unstructured Dual Grids for Eddy-Current Analysis in Thin Shields

Dipt. di Ingegneria Elettrica, Padova Univ.

IEEE Transactions on Magnetics (Impact Factor: 1.21). 05/2007; 43(4):1173 - 1176. DOI: 10.1109/TMAG.2006.890948 Source: IEEE Xplore

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**ABSTRACT:**Export Date: 19 July 2012, Source: Scopus, CODEN: CODUD, doi: 10.1108/03321640810847742, Language of Original Document: English, Correspondence Address: Moro, F.; Dipartimento di Ingegneria Elettrica, Università di Padova, Padova, Italy; email: moro@die.unipd.it, References: Alotto, P., Guarnieri, M., Moro, F., A boundary integral formulation on unstructured dual grids for eddy current analysis in thin shields (2007) IEEE Trans. on Magnetics, 43 (4), pp. 1173-6;COMPEL International Journal of Computations and Mathematics in Electrical 03/2008; 27(2):460-466. · 0.44 Impact Factor -
##### Conference Paper: Magnetic shielding of MV/LV substations: Numerical modeling and experimental validation

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**ABSTRACT:**A three-dimensional integral procedure based on the cell method and suitable for simulating non-magnetic shields has been proposed recently. Its validation against systematic measurements is here presented. A good agreement between computed and measured magnetic field RMS values confirms that the proposed integral procedure can be used confidently in designing shielding apparatuses for MV/LV substations.Universities Power Engineering Conference, 2008. UPEC 2008. 43rd International; 10/2008 - [Show abstract] [Hide abstract]

**ABSTRACT:**Purpose - The purpose of this paper is to present a simplified rigorous mathematical formulation of the problem of electric agents induced in thin shields with holes yielding more efficient numerical computations with respect to available methods. Design/methodology/approach - A surface integral equation satisfied by the current density was constructed, which is, subsequently, represented at any point by linear combinations of novel vector basis functions only associated with the interior nodes of the discretization mesh, such that the current continuity is everywhere insured. The existence of the holes in the shield is taken into account by associating only one surface vector function with each hole. A method of moments is then applied to compute the scalar coefficients of the vector functions employed. Findings - It was found that the induced current distribution for shields with holes having the complexity of real world structures can be determined with a satisfactory accuracy utilizing a moderate size processor notebook in a time of the order of minutes. Originality/value - The originality of the proposed method consists in using specialized surface vector functions only associated with individual interior nodes of the shield, its multiply connected structure being efficiently accounted for by introducing one unknown for each hole, instead of unknowns for every node along the hole contours. The method presented is straightforward and highly efficient for mathematical analysis of thin shields with holes, and of other physical fields in the presence of multiply connected surface structures.COMPEL International Journal of Computations and Mathematics in Electrical 07/2009; 28(4):964-973. · 0.44 Impact Factor

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