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Simplified matching pursuits applied to 3D nuclear reactor temperature distribution construction
Applied Mathematical Modelling ( IF 5 ) Pub Date : 2024-04-10 , DOI: 10.1016/j.apm.2024.04.011
Dean Price , Majdi I. Radaideh , Brendan Kochunas

Autonomous control systems can enhance the economic viability of complex systems such as nuclear microreactors. Advanced forms of these control systems benefit from techniques for high-resolution field data reconstruction from sensor data. Basis projection methods present a useful set of methodologies for nonparametric reconstruction of these field data. In this work, high fidelity multiphysics simulations are used to generate microreactor temperature distributions that are then used to evaluate the viability of a basis projection method which employs a generalized set of basis functions, or dictionaries. Additionally, metrics for evaluating the accuracy of the temperature distribution are presented that are motivated both from the fields of traditional signal processing and statistics. The performance of a method based on matching pursuits is compared to a method that uses the sequential ordering of basis functions. The matching pursuits-based method gives improved performance for highly sparse representations of temperature distributions. Additionally, accuracy is analyzed for multiple temperature distributions which represent different potential reactor operation configurations. Overall, the results from this work should be considered as an upper bound on the performance of basis projection methods which employ generalized basis functions for real time reactor control.

中文翻译:

简化匹配追踪应用于3D核反应堆温度分布构建

自主控制系统可以增强核微反应堆等复杂系统的经济可行性。这些控制系统的高级形式受益于根据传感器数据重建高分辨率现场数据的技术。基础投影方法为这些现场数据的非参数重建提供了一组有用的方法。在这项工作中,高保真度多物理场模拟用于生成微反应器温度分布,然后用于评估采用一组广义基函数或字典的基投影方法的可行性。此外,还提出了评估温度分布准确性的指标,这些指标是由传统信号处理和统计领域激发的。将基于匹配追踪的方法的性能与使用基函数顺序排序的方法进行比较。基于匹配追踪的方法为温度分布的高度稀疏表示提供了改进的性能。此外,还分析了代表不同潜在反应器操作配置的多个温度分布的准确性。总体而言,这项工作的结果应被视为基础投影方法性能的上限,该方法采用广义基函数进行实时反应堆控制。
更新日期:2024-04-10
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