Dynamic steady-state coil current allocation for plasma shape control: A study on the TCV tokamak

This work addresses the input current allocation problem for the magnetic control system of the Tokamak à Configuration Variable (TCV). Given the available actuators (i.e. poloidal field coils) on the TCV device, this work aims to optimize the input current configuration concerning a desired cost function, minimizing the effect on the controlled output, which is, in this case, considered as the plasma shape. This request is formulated as a dynamic control allocation problem, and a solution is proposed, discussed, and validated by numerical simulations on TCV models and data.