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 

作者机构：The State Key Laboratory of Industrial Control Technology Zhejiang University Shenzhen Institutes of Advanced Technology Chinese Academy of Sciences Department of Mechanical Engineering & Mechanics Lehigh University Ningbo Institute of Technology Zhejiang University 

出 版 物：《Plasma Science and Technology》 (等离子体科学和技术（英文版）)

年 卷 期：2013年第15卷第5期

页      面：403-410页

核心收录：

学科分类：08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 082701[工学-核能科学与工程] 0827[工学-核科学与技术] 0702[理学-物理学] 

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) 

主　　题：advanced plasma operations current profile dynamics optimal control theory,minimal surface equation differential geometry 

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.