Algorithm for the Fast Calculation of Magnetic Fields Generated by Arc-Shaped Conductors With Rectangular Cross Section (original) (raw)

IEEE Transactions on Applied Superconductivity, 2014

Abstract

This paper presents a novel procedure for the fast numerical integration of the magnetic field produced by arc-shaped conductors, which are characterized by a rectangular cross section. Available procedures are based on the analytical integration of Biot-Savart's law, but most of them exploit the analytical integration along one coordinate and then perform a 2-D numerical integration. In the proposed procedure, the analytical integration was performed along two coordinates, obtaining a 1-D integrand (thus avoiding the use of elliptic integrals), which is very easy to process using a state-of-the-art numerical quadrature library. The result is very satisfactory in terms of high speed and precision, particularly on the conductor surface, and when its cross dimensions are very uneven.

P. Molfino hasn't uploaded this paper.

Let P. know you want this paper to be uploaded.

Ask for this paper to be uploaded.