Numerical Simulation of $\hbox {Nb}_{3}\hbox {Sn}$ Strands Performances With Bending Strain and Comparison With Experimental Measurements

In order to study the effect of bending on strands´ performances, a finite differences numerical method has been implemented at ENEA, which discretizes a single strand in several elements representing bundles of twisted filaments. The code has been validated, and a satisfactory agreement has been obtained with experimental measurements carried out on an ITER-type OST strand, highlighting the critical impact of geometric modeling and the potential of the model as a predictive tool. The aim of this work is to verify the agreement between model results and critical current measurements of bent strands, and to help in clarifying some aspects of current redistribution process within the strand cross-section, in view of developing more appropriate theoretical models. Further improvements to the model system are presented: in order to simulate more representative conditions for cables in operating conditions, periodic bending is now introduced. Simulation results are compared with available experimental data on OST Dipole strand, with both twisted and untwisted filaments. Numerical values from the inter-filament resistivity measurements carried out at ENEA, are introduced as computational parameters, being the transverse resistance the main physical factor governing the analyzed mechanisms in multi-filamentary superconductors. In all those cases a satisfactory agreement among measurements and computational results has been found.