"Plasma Shape and Trajectory Optimizationin CEDRES++"

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Event details

Date 28.03.2013
Hour 14:0015:00
Speaker Dr. H. Heumann, Department of Mathematics, Rutgers, New Brunswick, NJ, USA
Location
PPB 019
Category Conferences - Seminars
In this talk we present main ideas and first results on plasma shape and trajectory optimisation with CEDRES++. We aim at implementing an open-loop control approach in CEDRES++ that is capable to predict a priori those trajectories of externally applied control parameters, that ensure that the state of the plasma, e.g. shape or current profile, follows some prescribed, desired path. This approach corresponds to a constrained optimization problem that minimizes a cost function. The cost function penalises the deviation of the plasma from the desired state. The constraints are the system of non-linear partial differential equations that describe the evolution of the plasma for given control parameters. Finding solutions of the non-linear constraints for given control parameters is a standard task in fusion research. Usually, this is referred to as coupling of equilibrium and transport equations. Nevertheless, an open loop approach poses additional difficulties. Efficient methods for solving such optimization problems rely on accurate linearizations of the constraints. Such a kind of linearization, namely the linearization of the equilibrium problem, is the outstanding feature of CEDRES++: CEDRES++ is one of the few equilibrium codes that uses Newton iterations.

Practical information

  • Informed public
  • Free

Organizer

  • Prof. P. Ricci

Contact

  • Prof. P. Ricci

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