The real-time monitoring of the structural displacement of the Vacuum Vessel (VV) of thermonuclear fusion devices caused by electromagnetic (EM) loads is of great interest. In this paper, Model Order Reduction (MOR) is applied to the Integral Equation Methods (IEM) and the Finite Elements Method (FEM) to develop Electromagnetic and Structural Reduced Order Models (ROMs) compatible with real-time execution which allows for the real-time monitoring of strain and displacement in critical positions of Tokamaks machines. Low-rank compression techniques based on hierarchical matrices are applied to reduce the computational cost during the offline stage when the ROMs are constructed. Numerical results show the accuracy of the approach and demonstrate the compatibility with real-time execution in standard hardware.

翻译：热核聚变装置真空容器因电磁载荷引起的结构位移实时监测具有重要意义。本文采用模型降阶方法，将积分方程法与有限元法相结合，开发了兼容实时运行的电磁与结构降阶模型，从而实现对托卡马克装置关键位置应变与位移的实时监测。基于层级矩阵的低秩压缩技术被应用于降低离线阶段构建降阶模型时的计算成本。数值结果验证了该方法的准确性，并证实其在标准硬件上具备实时运行兼容性。