Magnetoelastic analysis of non-circular superconducting partial torus

In this paper, we present a theoretical analysis of magnetoelasticity for a set of superconducting partial torus with D-typed non-circular coils. This kind of coil is an essential model adopted in the new conception design of Tokamak fusion reactors. Its magneto-mechanical behavior, including bendin g and snapping, is simulated with the aid of the curved beam theory and the Biot-Savart law. A semi-analytical method is employed to quantitatively so lve the boundary-value equations of the coil. The effects of the radius rat io lambda = R-1/R-2 of the coil on the critical snapping current, the defor mation and the internal force components of the coil are discussed. It is f ound that the critical current increases and the deformation decreases with the increase of the ratio lambda = R-1/R-2, and small misalignments of the coils make the critical current lower. (C) 1999 Elsevier Science Ltd. All rights reserved.