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XU Chao (许超), OU Yongsheng (欧勇盛), Eugenio SCHUSTER, and YU Xin(于欣). Computing Open-Loop Optimal Control of the q-Profile in Ramp-Up Tokamak Plasmas Using the Minimal-Surface Theory[J]. Plasma Science and Technology, 2013, 15(5): 403-410. DOI: 10.1088/1009-0630/15/5/02
Citation: XU Chao (许超), OU Yongsheng (欧勇盛), Eugenio SCHUSTER, and YU Xin(于欣). Computing Open-Loop Optimal Control of the q-Profile in Ramp-Up Tokamak Plasmas Using the Minimal-Surface Theory[J]. Plasma Science and Technology, 2013, 15(5): 403-410. DOI: 10.1088/1009-0630/15/5/02

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

Funds: 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) and the Fundamental Research Funds for the Central Universities of China (No. 1A5000-172210101) and the Natural Science Foundation of Ningbo (No. 2010A610096)
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  • Received Date: February 23, 2012
  • 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.
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