Optimal control of a coupled partial and ordinary differential equations system for the assimilation of polarimetry Stokes vector measurements in tokamak free-boundary equilibrium reconstruction with application to ITER

Blaise Faugeras (1, 2) , Jacques Blum (1, 2) , Holger Heumann (1, 2) , Cedric Boulbe (1, 2)

1 LJAD - Laboratoire Jean Alexandre Dieudonné
2 CASTOR - Control, Analysis and Simulations for TOkamak Research

A method enabling the consistent resolution of the inverse tokamak plasma equilibrium reconstruction problem in the framework of non-linear free-boundary equilibrium coupled to the Stokes model equation for polarimetry is provided. Using optimal control theory we derive the optimality system for this inverse problem. An SQP method is proposed for its numerical resolution. Numerical experiments in the ITER tokamak configuration show that the method is efficient and that the accuracy of the identification of the unknown profile functions is improved compared to the use of classical Faraday measurements.

Domaines: Modélisation et simulation

Blaise Faugeras, Jacques Blum, Holger Heumann, Cedric Boulbe. Optimal control of a coupled partial and ordinary differential equations system for the assimilation of polarimetry Stokes vector measurements in tokamak free-boundary equilibrium reconstruction with application to ITER. [Research Report] RR-9014, Inria. 2017. ⟨hal-01442462v1⟩