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Rapport Année : 2014

Optimal Control for Quasi-Static Evolution of Plasma Equilibrium in Tokamaks

Résumé

We present a new approach to the optimization of plasma scenarios in tokamaks. We formulate this task as an optimal control problem and use numerical methods for optimization problems with partial differential equation (PDE) constraints. The latter are discretized by linear finite elements and implicit Euler time stepping. Due to the free-boundary setting, we have introduced a new linearization of the non-linear equations that is consistent with the discretization. It is only this consistency, overlooked in previous approaches for the even simpler static setting, that guarantees that the method converges to the optimum. We give various numerical tests and simulation that illustrate our new method.
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Dates et versions

hal-00988045 , version 1 (07-05-2014)

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  • HAL Id : hal-00988045 , version 1

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Holger Heumann, Jacques Blum. Optimal Control for Quasi-Static Evolution of Plasma Equilibrium in Tokamaks. 2014. ⟨hal-00988045⟩
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