用浅层循环解码器实时估算液态金属流动状态,精度达5%误差。
Real-Time Monitoring of MHD Liquid Metal Flows with Shallow Recurrent Decoders

- 基于主成分分析与浅层循环解码器,从稀疏温度数据重建全系统状态。
- 在0.075~0.300特斯拉磁场和5~30度倾角下,温度/压力/速度误差均约5%。
- 适用于融合堆中未见参数场景,适合真实设施的在线监控与控制。
磁流体动力学液态金属流动的状态估计对托卡马克聚变反应堆中液态金属包层的实时监测至关重要。由于此类现象具有多物理场特性,高保真模拟在实时应用中计算成本过高。本文研究了一种数据驱动的降阶模型框架:浅层循环解码器(SHRED)结合主成分分析,将稀疏温度测量映射至完整的热液压系统状态。主要贡献在于对代表DEMO增殖包层构型的三维完整域进行双参数分析:外部磁场方向与强度变化,以及两根作为水冷系统的圆柱体施加于表面的温度边界条件。双参数磁场变化引发流动动力学的非线性转变,从低磁场下的混沌行为到高磁场下的层流化,表现为30度倾斜角处形成不对称侧层。SHRED重构在0.075~0.300特斯拉磁场强度及5~30度倾角范围内,对温度、压力和速度场的平均相对误差维持在约5%。该误差仅略高于由低秩截断决定的误差下限。结果表明,SHRED可作为复杂真实工程场景中未知参数条件下的可靠状态估计算法,验证其适用于真实设施的实时状态估计与在线监控控制。
原文摘要 · Abstract (English)
State estimation in magnetohydrodynamic flows is critical for real-time monitoring of liquid metal blankets in tokamak fusion reactors. Due to the multiphysics nature of these phenomena, high-fidelity simulations are computationally prohibitive for real-time applications. This work investigates a data- driven Reduced Order Model framework: the Shallow Recurrent Decoder (SHRED) coupled with Principal Component Analysis, to map sparse temperature measurements to the full thermo-hydraulic system's state. The major contribution of this work lies in the two-parameter analysis of a fully three-dimensional domain representative of the DEMO breeding blanket configuration. Here, the flow is subjected to an external magnetic field varying in direction and intensity and is hindered by two cylinders acting as a water-cooling system, which impose a temperature boundary condition on their surfaces. This double-parametric magnetic variation induces nonlinear transitions in the flow dynamics, ranging from chaotic behavior at low magnetic field intensities to laminarized regimes at high intensities, characterized by the formation of asymmetric side layers at an inclination angle of 30 degrees. SHRED reconstruction maintains a mean relative error of approximately 5% for the temperature, pressure, and velocity fields. This accuracy is maintained across both weak and strong magnetic fields, ranging from 0.075 T to 0.300 T, and for inclination angles from 5 to 30 degrees, reflecting its dominant toroidal component. These errors are only slightly larger than the lower error bound dictated by low-rank truncation. The results establish SHRED as a reliable state estimator for complex and realistic engineering applications involving completely unseen parametric scenarios and validate it as an accurate real-time state estimation technique suitable for online monitoring and control of real facilities.
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