Control strategies for magnetized plasma: a polar coordinates framework
This work addresses plasma control for fusion energy applications, presenting an incremental improvement through a specialized coordinate framework.
The paper tackles the problem of controlling magnetized plasma configurations using external magnetic fields by developing feedback control strategies based on a polar coordinates framework. Numerical experiments in 2D demonstrate the effectiveness of these approaches for toroidal devices like Tokamaks and Stellarators.
In this work, we provide an overview of various control strategies aimed at steering plasma toward desired configurations using an external magnetic field. From a modeling perspective, we focus on the Vlasov equation in a two-dimensional bounded domain, accounting for both a self-induced electric field and a strong external magnetic field. The results are presented in a polar coordinate framework, which is particularly well-suited for simulating toroidal devices such as Tokamaks and Stellarators. A key feature of the proposed control strategies is their feedback mechanism, which is based on an instantaneous prediction of the discretized system. Finally, different numerical experiments in the two-dimensional polar coordinate setting demonstrate the effectiveness of the approaches.