Analytical Solutions to SSC Coil End Design

Initial Results from 50mm Short SSC Dipoles at Fermilab

“…A "developable surface/grouped" configuration was chosen. 5,12,13,14 Conductor placement on the ends was generally very good. The end parts did not lilt from the mandrel surface during winding by more than 1/16 inch as shown in Fig.…”

The minimization of mechanical strain in end parts of coil block for superconducting multi-layer-type magnets

“…The main limiting factors in minimization of coil end lengths are mechanical characteristics such as the maximum strain, the smallest radius of curvature and the maximum twist in the coil ends [5]. The limits for these mechanical characteristics are defined by the mechanical properties of the superconducting cable used for the production of the magnet.…”

“…The classical 'constant perimeter condition' [1] enables us to specify the optimal position, from a mechanical point of view, for only one side of a cable's turn in the coil ends, as a turn in this condition is modeled by an infinitely thin stripe without taking into consideration the finite dimensions of a cable. This leads to overstrains in the coil block when the grouped end method for stacking turns in the coil ends is implemented [2], in which it is supposed that the turns within a coil end are laid directly on each other with no spaces between them. A model of cable geometry [3] allows one to take into account its finite dimensions in modeling of the coil ends for superconducting magnets, and it was implemented in the BEND program [4].…”

Optimization of magnet end-winding geometry

“…Developable surface models have previously been considered in the SSC magnet end design by Bossert et al [4]. Differential geometric details of their approach are contained in references [5] and [ 6 ] .…”