Analytical Study of Current Distribution in a 2-Turn Non-Insulated HTS Coil

High-Temperature Superconducting (HTS) coils have gained increasing attention in various applications, such as magnetic energy storage systems, fusion reactors, and high field magnets, due to their superior current-carrying capability and reduced power loss. One of the challenges in the design of these coils is the distribution of current between the individual turns, particularly for non-insulated or metal-insulated HTS coils. This work presents an analytical solution for determining the current distribution between the turns of a 2-turn non-insulated HTS coil. The proposed model enables the assessment of the local currents in steady state conditions. The solution is validated through numerical simulations performed with a non-linear electric circuit model. The results show the impact on current distribution of the main coil parameters, such as the coil radius, the turn-to-turn contact conductance and the resistance of joints or defects between turns.