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Overview of physics results from the ADITYA-U tokamak and future experiments ADITYA-U托卡马克和未来实验的物理结果概览
Pub Date : 2024-04-09 DOI: 10.1088/1741-4326/ad3c50
R. Tanna, Joydeep Ghosh, K. Jadeja, Rohit Kumar, S. Aich, Kaushal Patel, H. Raj, Kaushlender Singh, S. Dolui, K. Shah, S. Patel, N. Yadava, T. Macwan, Abha Kanik, Ankit Kumar, Bharat Hegde, Ashok Kumar Kumawat, Ananya Kundu, Ramesh Joshi, D. Sharma, Ankit B Patel, Laxmikanta Pradhan, Kalpesh Galodiya, S. Pandya, Soumitra Banerjee, Injamul Hoque, Komal Yadav, M. Chowdhuri, R. Manchanda, N. Ramaiya, R. Dey, G. Shukla, Dipexa Modi, V. Sharma, Aman Gauttam, M. Makwana, K. S. Shah, Shivam Gupta, Supriya Nair, S. Purohit, U. Nagora, A. Adhiya, K. Patel, K. Asudani, S. Jha, D. Kumawat, S. Pandya, V. Siju, Praveenlal E V, B. Arambhadiya, M. Shah, P. Gautam, V. Raulji, Praveena Shukla, Abhijeet Kumar, Mitesh Patel, R. Rajpal, Manisha Bhandarkar, I. Mansuri, Kirti Mahajan, Kishore Mishra, Sunil Kumar, B. Shukla, J. Kumar, P. K. Sharma, Snehlata Aggarwal, Kumar Ajay, Manoj Kumar Gupta, S. K. Pathak, P. Chattopadhyay, D. Raju, Someswar Dutta, S. Pahari, N. Bisai, Chetna Chauhan, Y. Saxena, A. Sen, R. Pal, Shashank Ch
The ADITYA Upgrade (ADITYA-U), a medium-sized (R_0=75 cm,a=25 cm) conventional tokamak facility in India, has been consistently producing experiments findings by using circular and shaped-plasmas. Recognizing the plasma parameters aligning closely with the design parameters of circular limited plasmas, ADITYA-U shifted its focus toward exploring the operational regime for experimentation on saw-tooth and MHD phenomena. Moreover, ADITYA-U has made consistent advancements toward conducting preliminary plasma shaping experiments through the activation of top and bottom divertor coils utilizing hydrogen as well as deuterium fuels. Confinement is improved by a factor of ~ 1.5 in D_2 plasmas when compared to H_2 plasmas of ADITYA-U. Further, ADITYA-U operations emphasize preventing disruptions and runaway electrons (REs) to ensure safe operations for future fusion devices. Significant suppression of REs has been achieved in ADITYA-U with the application of pulsed localized vertical magnetic field (LVF) perturbation, thereby establishing the technique's independence from the tokamak device. The successful RE mitigation requires a critical threshold of LVF pulse magnitude, which is approximately 1% of the toroidal magnetic field, and a minimum duration of ~ 5 ms. Apart from this, several novel findings have been achieved in the ADITYA-U experiments, including the modification of sawtooth duration through gas-puff, the emergence of MHD-induced GAM-like oscillations, the propagation of fast heat pulses induced by MHD activity, the control of RE dynamics through Gas-puffs, the propagation of pinch-driven cold-pulses, the transport and core accumulations of argon impurities, the mass dependency of plasma toroidal rotation and the detection of “RICE” scaling, as well as the characterization of edge plasma using wall conditioning methods, such as glow discharge cleaning using a combination of Ar-H2 mixture, localized wall cleaning by Electron Cyclotron (EC) resonant plasma, and the development of machine learning-based disruption predictions, will be discussed in this paper.
ADITYA升级版(ADITYA-U)是印度的一个中型(R_0=75厘米,a=25厘米)常规托卡马克设施,一直在利用圆形和异形等离子体进行实验研究。由于认识到等离子体参数与圆形有限等离子体的设计参数非常吻合,ADITYA-U 将重点转向探索锯齿和 MHD 现象实验的运行机制。此外,ADITYA-U 还通过利用氢和氘燃料激活顶部和底部分流器线圈,在进行初步等离子体整形实验方面不断取得进展。与ADITYA-U的H_2等离子体相比,D_2等离子体的约束性提高了约1.5倍。此外,ADITYA-U的运行强调防止破坏和电子失控(REs),以确保未来聚变装置的安全运行。通过应用脉冲局部垂直磁场(LVF)扰动,ADITYA-U 实现了对 REs 的显著抑制,从而确立了该技术与托卡马克装置的独立性。成功缓解RE需要LVF脉冲幅值的临界阈值(约为环形磁场的1%)和至少5毫秒的持续时间。除此之外,ADITYA-U实验还取得了多项新发现,包括通过气体脉冲改变锯齿持续时间、出现MHD诱导的类似GAM的振荡、MHD活动诱导的快速热脉冲传播、通过气体脉冲控制RE动态、夹钳驱动的冷脉冲传播、氩杂质的传输和堆芯积聚、本文还将讨论等离子体环形旋转的质量依赖性和 "RICE "缩放的检测,以及使用壁调节方法(如使用氩-氢混合物组合的辉光放电清洗、电子回旋加速器(EC)共振等离子体的局部壁清洗)对边缘等离子体的特征描述,以及基于机器学习的破坏预测的开发。
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引用次数: 0
Iterative addition of parallel non-local effects to full wave ICRF finite element models in axisymmetric tokamak plasmas 轴对称托卡马克等离子体全波 ICRF 有限元模型中并行非局部效应的迭代添加
Pub Date : 2024-04-09 DOI: 10.1088/1741-4326/ad3c51
Björn Zaar, Thomas J Johnson, Roberto Bilato, Pablo Antonio Vallejos Olivares
The current response of a hot magnetized plasma to a radio-frequency wave is non-local, turning the electromagnetic wave equation into an integro-differential equation. Non-local physics gives rise to wave physics and absorption processes not observed in local media. Furthermore, non-local physics alters wave propagation and absorption properties of the plasma. In this work, an iterative method that accounts. for parallel non-local effects in 2D axisymmetric tokamak plasmas is developed, implemented, and verified. The iterative method is based on the finite element method and Fourier decomposition, with the advantage that this numerical scheme can describe non-local effects while using a high-fidelity antenna and wall representation, as well as limiting memory usage. The proposed method is implemented in the existing full wave solver FEMIC and applied to a minority heating scenario in ITER to quantify how parallel non-local physics affect wave propagation and dissipation in the ion cyclotron range of frequencies (ICRF). The effects are then compared to a reduced local plane wave model, both verifying the physics implemented in the model, as well as estimating how well a local plane wave approximation performs in scenarios with high single pass damping. Finally, the new version of FEMIC is benchmarked against the ICRF code TORIC.
热磁化等离子体对射频波的电流响应是非局部的,从而将电磁波方程转化为积分微分方程。非局部物理学产生了在局部介质中观察不到的波物理和吸收过程。此外,非局部物理改变了等离子体的波传播和吸收特性。在这项工作中,开发、实施并验证了一种迭代法,该方法考虑了二维轴对称托卡马克等离子体中的平行非局部效应。该迭代法基于有限元法和傅立叶分解,其优点是这种数值方案可以描述非局部效应,同时使用高保真天线和壁表示法,并限制内存使用。所提出的方法在现有的全波求解器 FEMIC 中实施,并应用于热核实验堆中的少数加热情景,以量化并行非局部物理如何影响离子回旋频率范围 (ICRF) 中的波传播和耗散。然后,将这些影响与简化的局部平面波模型进行比较,既验证了模型中实施的物理原理,又估计了局部平面波近似在高单程阻尼情况下的性能。最后,新版 FEMIC 与 ICRF 代码 TORIC 进行了基准测试。
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引用次数: 0
Broadening of electron cyclotron power deposition and driven current profiles caused by dissipative diffractive propagation 耗散性衍射传播导致电子回旋加速器功率沉积和驱动电流剖面拓宽
Pub Date : 2024-04-09 DOI: 10.1088/1741-4326/ad3c53
K. Yanagihara, S. Kubo
Improvements of the Electron Cyclotron Resonance Heating (ECRH) and Current Drive (ECCD) predictions are important issues to design and control the high-performance fusion plasmas in future devices, where those should play a more important role as an actuator than in devices to date. The newly developed EC-prediction package based on the quasioptical ray tracing code PARADE revealed in JT-60SA that (i) radial profiles of both EC power deposition and driven current are broadened and (ii) the net driven current is increased by few kA/MW, in comparison with conventional predictions due to the dissipative diffractive propagation (DDP). The mechanism of DDP is as follows; EC wave beam obliquely passing through the resonant surface is dissipated non- uniformly on its beam cross section, so that the beam trajectory shifts gradually and thus the resonant position also shifts, resulting in the broadened power deposition profile. This novel ECCD and ECRH prediction package based on PARADE is applicable not only to JT-60SA but other existing devices and even, future devices.
改进电子回旋共振加热(ECRH)和电流驱动(ECCD)预测是设计和控制未来装置中高性能聚变等离子体的重要问题,在未来装置中,电子回旋共振加热和电流驱动作为致动器的作用应比迄今为止的装置更为重要。基于准光学射线追踪代码 PARADE 新开发的电离层预测软件包在 JT-60SA 中发现:(i) 由于耗散衍射传播(DDP),与传统预测相比,电离层功率沉积和驱动电流的径向剖面都变宽了;(ii) 净驱动电流增加了几 kA/MW。DDP 的机理如下:斜向穿过谐振面的电离层波束在其波束横截面上被非均匀地耗散,从而使波束轨迹逐渐移动,谐振位置也随之移动,导致功率沉积曲线变宽。这种基于 PARADE 的新型 ECCD 和 ECRH 预测软件包不仅适用于 JT-60SA,还适用于其他现有设备甚至未来的设备。
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引用次数: 0
COREDIV simulations of D and D-T high current-high power Baseline pulses in JET-ITER Like Wall COREDIV 模拟 JET-ITER 像墙中的 D 和 D-T 大电流大功率基线脉冲
Pub Date : 2024-04-08 DOI: 10.1088/1741-4326/ad3bcd
G. Telesca, Anthony Robert Field, I. Ivanova-Stanik, S. Brezinsek, A. Chomiczewska, D. Frigione, L. Garzotti, E. Kowalska-Strzeciwilk, Peter Lomas, J. Mailloux, Gianluca Pucella, F. Rimini, D. van Eester, Roman Zagórski
The two best performing pulses of the so called ITER-Baseline scenario (Ip=3.5 MA and Pin≈ 35 MW) of JET ILW, one in deuterium (D) the other in deuterium-tritium (D-T) plasma are examined and compared in this study. Generally, the D-T Baseline pulses exhibit an electron density level higher than the D pulses and the plasma energy is higher than in the comparable D pulses by up to 20%, reaching about 12 MJ in the pulse studied here. In contrast with the D pulses, the D-T pulses are often characterized by the increase in time of the radiated power in the mantle region, which may lead to the loss of the ELM activity when the threshold H-L transition power is approached and to the subsequent plasma disruption due to excessive radiation. In this study we try to identify the physical mechanisms responsible for this behaviour using the available experimental data (principally the total radiated power from the bolometry) and the results of the steady state fluid COREDIV model (1-D in the core, 2-D in the SOL), self-consistent with respect to core-SOL and to main plasma-impurities. The electron density and temperature profiles are numerically reconstructed as well as the radiated power density profiles, indicating no major difference in impurity transport in D and D T. In fact, the impurity transport coefficients used in COREDIV to match the experimental radiated power profiles are similar in the two pulses. The computed tungsten sources and densities are lower in the D-T pulse and the divertor impurity retention capability is a little better in the D-T pulse, indicating a stronger collisional drag force in the SOL. The higher electron density and the broadening of its profile are the main cause of the observed increase of the radiated power in the D-T pulse.
本研究对 JET ILW 的所谓 ITER 基准方案(Ip=3.5 MA,Pin≈35 MW)中性能最好的两个脉冲(一个在氘(D)等离子体中,另一个在氘-氚(D-T)等离子体中)进行了研究和比较。一般来说,D-T 基线电流脉冲的电子密度水平高于 D 脉冲,等离子体能量也比 D 脉冲高出 20%,在本文研究的脉冲中达到约 12 兆焦耳。与 D 脉冲相比,D-T 脉冲的特点通常是地幔区域的辐射功率随时间的推移而增加,这可能会在接近 H-L 转换功率阈值时导致 ELM 活动的丧失,并在随后因辐射过强而导致等离子体破坏。在这项研究中,我们试图利用现有的实验数据(主要是螺栓测量的总辐射功率)和稳态流体 COREDIV 模型(内核为一维,SOL 为二维)的结果来确定造成这种行为的物理机制,该模型在内核-SOL 和主要等离子体-杂质方面是自洽的。电子密度和温度曲线以及辐射功率密度曲线都是通过数值重建的,这表明 D 和 D T 中的杂质传输没有重大差异。事实上,COREDIV 中用于匹配实验辐射功率曲线的杂质传输系数在两个脉冲中是相似的。在 D-T 脉冲中,计算得出的钨源和钨密度较低,而在 D-T 脉冲中,分流器的杂质截留能力稍好,这表明 SOL 中的碰撞阻力较强。在 D-T 脉冲中,较高的电子密度及其轮廓的拓宽是观测到的辐射功率增加的主要原因。
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引用次数: 0
Transport-driven toroidal rotation with general viscosity profile 具有一般粘度曲线的传输驱动环面旋转
Pub Date : 2024-04-08 DOI: 10.1088/1741-4326/ad3bcc
T. Stoltzfus-Dueck, R. W. Brzozowski
Using the assumption of a weak normalized turbulent viscosity, usually valid in practice, the modulated-transport model [Stoltzfus-Dueck Phys. Plasmas 19: 055908 (2012)] is generalized to allow the turbulent transport coefficient to vary in an arbitrary way on radial and poloidal position. The new approach clarifies the physical interpretation of the earlier results and significantly simplifies the calculation, via a boundary-layer asymptotic method. Rigorous detailed appendices verify the result of the simple boundary-layer calculation, also demonstrating that it achieves the claimed order of accuracy and providing a concrete prediction for the strong plasma flows in the immediate vicinity of the last closed flux surface. The new formulas are used to predict plasma rotation at the core-edge boundary, in cases with and without externally applied torque. Dimensional formulas and extensive discussion are provided, to support experimental application of the new model.
利用通常在实践中有效的弱归一化湍流粘度假设,对调制传输模型[Stoltzfus-Dueck Phys. Plasmas 19: 055908 (2012)]进行了概括,允许湍流传输系数以任意方式随径向和极向位置变化。新方法澄清了早期结果的物理解释,并通过边界层渐近方法大大简化了计算。严谨详细的附录验证了简单边界层计算的结果,也证明它达到了所宣称的精度等级,并为最后一个封闭通量面附近的强等离子体流提供了具体预测。新公式用于预测在有和没有外加扭矩的情况下核心-边缘边界的等离子体旋转。还提供了尺寸公式和广泛的讨论,以支持新模型的实验应用。
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引用次数: 0
Overview of the KSTAR experiments toward fusion reactor 面向聚变反应堆的 KSTAR 实验概述
Pub Date : 2024-04-05 DOI: 10.1088/1741-4326/ad3b1d
W. Ko, S. Yoon, Woong-Chae Kim, Jong-Gu Kwak, Kaprai Park, Y. Nam, Sonjong Wang, J. Chung, Byoung-Ho Park, Gunyoung Park, H.H. Lee, Hyunsun Han, M. Choi, Yong-Su Na, Yongkyoon In, Chan-Young Lee, Minwoo Kim, Gunsu S Yun, Y. Ghim, Wonho Choe, Jaemin Kwon, Jungpyo Lee, Woochang Lee, Y. Jeon, Kimin Kim, Jongha Lee, G. Shin, Jayhyun Kim, Jaehyun Lee, S. Hahn, Jeongwon Lee, Hyun-Seok Kim, J. Bak, S. G. Lee, Youngho Lee, J. Jeong, Minho Woo, Junghee Kim, J. Juhn, Jinseok Ko, C. Sung, Haewon Shin, J. M. Park, SangKyeun Kim, Jong-Kyu Park, N. Logan, S. Yang, E. Kolemen, Q. Hu, R. Shousha, J. Barr, C. Paz-Soldan, Young-Seok Park, S. Sabbagh, Katsumi Ida, Sun-Ho Kim, Alberto Loarte, E. Gilson, D. Eldon, Tomohide Nakano, T. Tala, Kstar Team
The KSTAR has been focused on exploring the key physics and engineering issues for future fusion reactors by demonstrating the long pulse operation of high beta steady-state discharge. Advanced scenarios are being developed with the goal for steady-state operation, and significant progress has been made in high ℓi, hybrid and high beta scenarios with βN of 3. In the new operation scenario called FIRE, fast ions play an essential role in confinement enhancement. GK simulations show a significant reduction of the thermal energy flux when the thermal ion fraction decreases and the main ion density gradient is reversed by the fast ions in FIRE mode. Optimization of 3D magnetic field techniques, including adaptive control and real-time machine learning (ML) control algorithm, enabled long-pulse operation and high-performance ELM-suppressed discharge. Symmetric multiple shattered pellet injections and real-time DECAF are being performed to mitigate and avoid the disruptions associated with high-performance, long-pulse ITER-like scenarios. Finally, the near-term research plan will be addressed with the actively cooled tungsten divertor, a major upgrade of the NBI and helicon current drive heating, and transition to a full metallic wall.
KSTAR 的重点是通过演示高贝塔稳态放电的长脉冲运行,探索未来聚变反应堆的关键物理和工程问题。目前正在开发以稳态运行为目标的先进方案,在高ℓi、混合和βN为3的高贝塔方案方面取得了重大进展。GK 模拟显示,在 FIRE 模式下,当热离子比例降低,主离子密度梯度被快离子逆转时,热能通量显著减少。三维磁场技术的优化,包括自适应控制和实时机器学习(ML)控制算法,实现了长脉冲运行和高性能 ELM 抑制放电。正在进行对称多碎丸注入和实时 DECAF,以减轻和避免与高性能、长脉冲热核实验堆类似情况相关的干扰。最后,近期研究计划将涉及主动冷却钨分流器、NBI 和螺旋电流驱动加热的重大升级以及向全金属壁的过渡。
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引用次数: 0
Interpretative 3D MHD modelling of deuterium SPI into a JET H-mode plasma 氘 SPI 进入 JET H 模式等离子体的三维 MHD 解释性建模
Pub Date : 2024-04-05 DOI: 10.1088/1741-4326/ad3b1c
Mengdi Kong, E. Nardon, Matthias Hoelzl, Daniele Bonfiglio, D. Hu, Sang Jun Lee, Roman Samulyak, U. Sheikh, S. Silburn, J. Artola, A. Boboc, G. Bodner, Pedro Carvalho, Ephrem Delabie, Josep Maria Fontdecaba Climent, Sergei Gerasimov, T. Hender, Stefan Jachmich, Domagoj Kos, K. Lawson, Stanislas Pamela, C. Sommariva, Ž. Štancar, B. Stein-Lubrano, Hongjuan Sun, Ryan Sweeney, G. Szepesi
The pre-thermal quench (pre-TQ) dynamics of a pure deuterium (D2) shattered pellet injection (SPI) into a 3MA/7MJ JET H-mode plasma is studied via 3D non-linear MHD modelling with the JOREK code. The interpretative modelling captures the overall evolution of the measured density and radiated power. The simulations also identify the importance of the drifts of ablation plasmoids towards the tokamak low field side (LFS) and the impurities in the background plasma in fragment penetration, assimilation, radiative cooling and MHD activity in D2 SPI experiments. It is found that plasmoid drifts lead to an about 70% reduction of the central line-integrated density (compared to a simulation without drifts) in the JET D2 SPI discharge considered. Impurities that pre-exist before the SPI as well as those from possible impurity influxes related to the SPI are shown to dominate the radiation in the considered discharge. With inputs from JOREK simulations, modelling with the Lagrangian particle-based pellet code PELOTON reproduces the deviation of the SPI fragments in the direction of the major radius as observed by the fast camera. This confirms the role of rocket effects and plasmoid drifts in the considered discharge and reinforces the validity of the JOREK modelling. The limited core density rise due to plasmoid drifts and the strong radiative cooling and MHD activity with impurities (depending on their species and concentration) could limit the effectiveness of LFS D2 SPI in runaway electron avoidance and are worth considering in the design of the ITER disruption mitigation system.
通过使用 JOREK 代码进行三维非线性 MHD 建模,研究了纯氘(D2)碎丸注入(SPI)到 3MA/7MJ JET H 模式等离子体的热淬前(pre-TQ)动力学。解释性建模捕捉了测量密度和辐射功率的整体演变。模拟还确定了烧蚀等离子体向托卡马克低场侧(LFS)漂移的重要性,以及 D2 SPI 实验中碎片穿透、同化、辐射冷却和 MHD 活动的背景等离子体中杂质的重要性。研究发现,在所考虑的 JET D2 SPI 放电中,等离子体漂移会导致中心线积分密度降低约 70%(与没有漂移的模拟相比)。在 SPI 之前就已存在的杂质以及与 SPI 相关的可能杂质涌入所产生的杂质在所考虑的放电中占据了主要辐射。利用来自 JOREK 模拟的输入,使用基于拉格朗日粒子的弹丸代码 PELOTON 进行建模,再现了快速相机观测到的 SPI 碎片在大半径方向上的偏差。这证实了火箭效应和质点漂移在所考虑的放电中的作用,并加强了 JOREK 建模的有效性。质点漂移导致的有限堆芯密度上升以及杂质(取决于其种类和浓度)的强烈辐射冷却和 MHD 活动可能会限制 LFS D2 SPI 在避免电子失控方面的有效性,值得在设计热核实验堆干扰缓解系统时加以考虑。
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引用次数: 1
Comparison of reduced model predictions for divertor detachment onset and reattachment timescales in ASDEX Upgrade and JET experiments ASDEX 升级版和 JET 实验中憩息器脱离开始和重新附着时间尺度的简化模型预测比较
Pub Date : 2024-04-02 DOI: 10.1088/1741-4326/ad3970
S. Henderson, Matthias Bernert, D. Brida, M. Cavedon, Pierre David, Ralph Dux, O. Février, Philippe Jacquet, A. E. Järvinen, Arne Kallenbach, J. Karhunen, K. Kirov, M. Komm, Morten Lennholm, B. Lomanowski, Chris Lowry, R. McDermott, Andy Meigs, Holger Reimerdes, Hongjuan Sun, Beth Thomas
Building on prior analysis of ASDEX Upgrade (AUG) experiments (Henderson et al. Nucl. Fusion 63 086024 2023), this study compares simple analytical formula predictions for divertor detachment onset and reattachment timescales in JET experiments. Detachment onset primarily scales with divertor neutral pressure, impurity concentration, power directed to the targets, machine size, and integral perpendicular power decay length. JET experiments, focusing on seeding mixtures of Ne and Ar, align with the detachment onset predictions. Radiation efficiencies among the impurities show good agreement with the model predictions, contrasting with AUG observations which suggested higher efficiency for Ar and lower efficiency for Ne. The time taken to re-ionise the neutral volume in front of the outer target in fully detached divertor conditions was measured following both abrupt increases in injected neutral beam power and, separately, cutting of the impurity gas flow. Reionisation of the neutrals occurs within approximately 1 second on JET, which aligns with the simple model prediction derived from AUG data. While the ASDEX Upgrade results are not new, their comparison with the JET results enhances understanding, reinforcing confidence in using simple models to predict future reactor scenarios.
在先前对 ASDEX 升级(AUG)实验(Henderson 等人,Nucl. Fusion 63 086024 2023)分析的基础上,本研究比较了 JET 实验中岔道脱离开始和重新附着时间尺度的简单分析公式预测。脱离开始时间主要与憩室中性压力、杂质浓度、指向目标的功率、机器尺寸和积分垂直功率衰减长度有关。以 Ne 和 Ar 的种子混合物为重点的 JET 实验与脱离开始的预测相一致。杂质之间的辐射效率与模型预测结果十分吻合,这与 AUG 观察结果形成了鲜明对比,后者表明 Ar 的效率更高,而 Ne 的效率更低。在完全分离的分流器条件下,测量了注入的中性束功率突然增加和杂质气流分别被切断后,外靶前方中性体积再电离所需的时间。在 JET 上,中性物质的再电离发生在大约 1 秒钟内,这与根据 AUG 数据得出的简单模型预测结果一致。虽然 ASDEX 升级的结果并不新颖,但将其与 JET 的结果进行比较可以加深理解,增强使用简单模型预测未来反应堆情况的信心。
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引用次数: 0
Plasma profile reconstruction supported by kineticmodeling 动力学模型支持等离子体剖面重建
Pub Date : 2024-03-07 DOI: 10.1088/1741-4326/ad3138
Michael George Bergmann, Rainer Fischer, Clemente Angioni, K. Höfler, Pedro Molina Cabrera, T. Görler, T. Luda, Roberto Bilato, G. Tardini, F. Jenko
Combining the analysis of multiple diagnostics and well-chosen prior information in the framework of Bayesian probability theory, the Integrated Data Analysis code (IDA) can provide density and temperature radial profiles of fusion plasmas. These IDA-fitted measurements are then used for further analysis, such as discharge simulations and other experimental data analysis. Since IDA considers uncertain measurement data from a heterogeneous set of diagnostics, the fitted profiles and their gradients may be in contradiction to well-established expectations from transport theory. Using the modeling suite ASTRA coupled with the quasi-linear transport solver TGLF, we have created a loop in which simulated profiles and their uncertainties are fed back into IDA as an additional prior, thus providing constraints about the physically reasonable parameter space. We apply this physics-motivated prior to several different plasma scenarios and find improved heat flux match, while still matching the experimental data. This work feeds into a broader effort to make IDA more robust against measurement uncertainties or lack of measurements by combining multiple transport solvers with different levels of complexity and computing costs in a multi-fidelity approach.
综合数据分析代码(IDA)在贝叶斯概率论的框架下,结合多种诊断分析和精心选择的先验信息,可以提供聚变等离子体的密度和温度径向剖面图。这些 IDA 拟合的测量数据可用于进一步分析,如放电模拟和其他实验数据分析。由于 IDA 考虑了来自异构诊断集的不确定测量数据,因此拟合剖面及其梯度可能与传输理论的既定预期相矛盾。我们利用 ASTRA 建模套件和准线性传输求解器 TGLF,创建了一个循环,在这个循环中,模拟剖面及其不确定性作为额外的先验信息反馈到 IDA 中,从而为物理上合理的参数空间提供约束。我们将这种物理先验应用于几种不同的等离子场景,发现热通量匹配得到了改善,同时仍与实验数据相匹配。这项工作是对更广泛的努力的一种补充,即通过在多保真度方法中结合具有不同复杂程度和计算成本的多个传输求解器,使 IDA 对测量不确定性或缺乏测量具有更强的鲁棒性。
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引用次数: 0
Plasma surrogate modelling using Fourier Neural Operators 利用傅立叶神经算子建立等离子体代用模型
Pub Date : 2024-03-07 DOI: 10.1088/1741-4326/ad313a
Vignesh Gopakumar, S. Pamela, L. Zanisi, Zong-Yi Li, Ander Gray, Daniel Brennand, Nitesh Bhatia, Gregory Stathopoulos, Matt Kusner, Marc Deisenroth, A. Anandkumar
Predicting plasma evolution within a Tokamak reactor is crucial to realizing the goal of sustainable fusion. Capabilities in forecasting the spatio-temporal evolution of plasma rapidly and accurately allow us to quickly iterate over design and control strategies on current Tokamak devices and future reactors. Modelling plasma evolution using numerical solvers is often expensive, consuming many hours on supercomputers, and hence, we need alternative inexpensive surrogate models. We demonstrate accurate predictions of plasma evolution both in simulation and experimental domains using deep learning-based surrogate modelling tools, viz., Fourier Neural Operators (FNO). We show that FNO has a speedup of six orders of magnitude over traditional solvers in predicting the plasma dynamics simulated from magnetohydrodynamic models, while maintaining a high accuracy (MSE ≈ 10−5). Our modified version of the FNO is capable of solving multi-variable Partial Differential Equations (PDE), and can capture the dependence among the different variables in a single model. FNOs can also predict plasma evolution on real-world experimental data observed by the cameras positioned within the MAST Tokamak, i.e., cameras looking across the central solenoid and the divertor in the Tokamak. We show that FNOs are able to accurately forecast the evolution of plasma and have the potential to be deployed for real-time monitoring. We also illustrate their capability in forecasting the plasma shape, the locations of interactions of the plasma with the central solenoid and the divertor for the full duration of the plasma shot within MAST. The FNO offers a viable alternative for surrogate modelling as it is quick to train and infer, and requires fewer data points, while being able to do zero-shot super-resolution and getting high-fidelity solutions.
预测托卡马克反应堆内等离子体的演变对于实现可持续核聚变目标至关重要。快速、准确地预测等离子体时空演变的能力使我们能够在当前的托卡马克装置和未来的反应堆上快速迭代设计和控制策略。使用数值求解器建立等离子体演变模型通常非常昂贵,需要在超级计算机上耗费大量时间,因此我们需要其他廉价的替代模型。我们利用基于深度学习的代用建模工具,即傅立叶神经算子(FNO),在模拟和实验领域展示了等离子体演化的精确预测。我们的研究表明,与传统求解器相比,FNO 在预测由磁流体动力学模型模拟的等离子体动力学方面的速度提高了六个数量级,同时还保持了较高的精度(MSE ≈ 10-5)。我们改进版的 FNO 能够求解多变量偏微分方程(PDE),并能捕捉单一模型中不同变量之间的依赖关系。FNO 还能根据安装在 MAST 托卡马克内的摄像机(即横跨托卡马克中央螺线管和分流器的摄像机)观测到的实际实验数据预测等离子体的演变。我们的研究表明,FNOs 能够准确预测等离子体的演化,并具有部署用于实时监测的潜力。我们还说明了它们在预报等离子体形状、等离子体与中央螺线管和分流器的相互作用位置以及 MAST 内等离子体射出的整个持续时间方面的能力。FNO 为替代建模提供了一个可行的替代方案,因为它可以快速训练和推断,所需的数据点也更少,同时还能进行零点超分辨率和获得高保真解决方案。
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Nuclear Fusion
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