Reduced Order Modeling for Real-Time Monitoring of Structural Displacements due to Electromagnetic Forces in Large Scale Tokamaks

TL;DR

This paper develops reduced order models for real-time structural displacement monitoring in large-scale tokamaks, combining electromagnetic and structural simulations with low-rank compression to enable fast, accurate predictions during operation.

Contribution

It introduces a novel integration of MOR with IEM and FEM for real-time structural monitoring in tokamaks, utilizing hierarchical matrix compression for efficiency.

Findings

Models achieve high accuracy in displacement prediction.

Method is compatible with standard hardware for real-time use.

Significantly reduces computational cost during offline stage.

Abstract

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.