Inter-discharge optimization for fast, reliable access to ASDEX Upgrade AT scenario

S. Van Mulders, Olivier Sauter, Alexander Bock, A. Burckhart, Cassandre Contré, Federico Felici, Rainer Fischer, R. Schramm, J. Stober, Hartmut Zohm, Asdex Upgrade team
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Abstract

Rapid inter-discharge simulation and optimization using the RAPTOR code have allowed the development of a reliable and reproducible early heating strategy for an advanced tokamak (AT) scenario on ASDEX Upgrade. Solving for electron heat and current diffusion in RAPTOR with ad-hoc formulas for heat transport and EC current drive efficiency was found to robustly recover the coupled dynamics of Te and q, while maintaining model parameters fixed. The pedestal top boundary condition in pre-shot simulations is set by a newly derived scaling law for the electron pressure at ρ=0.8, using a data set of previous AT discharges. RAPTOR simulations have allowed to understand the onset of 3/2 tearing modes, which were observed to have a detrimental impact on confinement when low magnetic shear conditions are present at the rational surface during the high-β phase. Delaying the NBI heating, by a specific time interval found via simulations, has led to avoiding these modes. A non-linear optimization scheme has been applied to optimize the ECCD deposition radii to reach a stationary state with elevated qmin at the beginning of the flat-top phase, and has been successfully tested in experiment. However, further experiments, aiming for qmin > 1.5, also highlighted limitations of the present feedforward control approach in the presence of shot-to-shot variations that are not included in the applied model. Application of real-time model-based control is proposed to overcome model-reality mismatches in future work.
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放电间优化,快速、可靠地接入 ASDEX 升级 AT 方案
利用RAPTOR代码进行的快速放电间模拟和优化,为ASDEX升级版上的先进托卡马克(AT)方案开发出了可靠且可重复的早期加热策略。在 RAPTOR 中利用热传输和欧共体电流驱动效率的临时公式求解电子热量和电流扩散,可以在保持模型参数固定的情况下稳健地恢复 Te 和 q 的耦合动态。利用以前的 AT 放电数据集,在 ρ=0.8 时通过新推导的电子压力缩放定律设定了预射模拟中的基座顶边界条件。通过 RAPTOR 模拟可以了解 3/2 撕裂模式的发生,据观察,当高β阶段理性表面存在低磁剪切条件时,3/2 撕裂模式会对约束产生不利影响。通过模拟找到一个特定的时间间隔来延迟 NBI 加热,可以避免这些模式。我们采用非线性优化方案来优化 ECCD 沉积半径,以便在平顶阶段开始时达到 qmin 升高的静止状态,该方案已成功通过实验测试。然而,在进一步的实验中,以 qmin > 1.5 为目标的前馈控制方法也凸显了其局限性。建议在今后的工作中应用基于模型的实时控制来克服模型与现实的不匹配。
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