Computing Open-Loop Optimal Control of the q-Profile in Ramp-Up Tokamak Plasmas Using the Minimal-Surface Theory  

作　　者：许超 欧勇盛 Eugenio SCHUSTER 于欣 

机构地区：[1]The State Key Laboratory of Industrial Control Technology, Zhejiang University [2]Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences [3]Department of Mechanical Engineering & Mechanics, Lehigh University [4]Ningbo Institute of Technology, Zhejiang University

出　　处：《Plasma Science and Technology》2013年第5期403-410,共8页等离子体科学和技术（英文版）

基　　金：supported partially by the US NSF CAREER award program (ECCS-0645086);National Natural Science Foundation of China (No.F030119);Zhejiang Provincial Natural Science Foundation of China (Nos.Y1110354, Y6110751);the Fundamental Research Funds for the Central Universities of China (No.1A5000-172210101);the Natural Science Foundation of Ningbo (No.2010A610096)

摘　　要：The q-profile control problem in the ramp-up phase of plasma discharges is consid- ered in this work. The magnetic diffusion partial differential equation （PDE） models the dynamics of the poloidal magnetic flux profile, which is used in this work to formulate a PDE-constrained op-timization problem under a quasi-static assumption. The minimum surface theory and constrained numeric optimization are then applied to achieve suboptimal solutions. Since the transient dy- namics is pre-given by the minimum surface theory, then this method can dramatically accelerate the solution process. In order to be robust under external uncertainties in real implementations, PID （proportional-integral-derivative） controllers are used to force the actuators to follow the computational input trajectories. It has the potential to implement in real-time for long time discharges by combining this method with the magnetic equilibrium update.The q-profile control problem in the ramp-up phase of plasma discharges is consid- ered in this work. The magnetic diffusion partial differential equation （PDE） models the dynamics of the poloidal magnetic flux profile, which is used in this work to formulate a PDE-constrained op-timization problem under a quasi-static assumption. The minimum surface theory and constrained numeric optimization are then applied to achieve suboptimal solutions. Since the transient dy- namics is pre-given by the minimum surface theory, then this method can dramatically accelerate the solution process. In order to be robust under external uncertainties in real implementations, PID （proportional-integral-derivative） controllers are used to force the actuators to follow the computational input trajectories. It has the potential to implement in real-time for long time discharges by combining this method with the magnetic equilibrium update.

关 键 词：advanced plasma operations current profile dynamics optimal control theory minimal surface equation differential geometry 

分 类 号：TL631.24[核科学技术—核技术及应用]