Real-time monitoring of thermal processes by reduced-order modeling
Real-time monitoring of thermal processes by reduced-order modeling
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DOI：
10.1002/nme.4784
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发表时间：
2015-05-04
影响因子：
2.9
通讯作者：
Cueto, Elias
中科院分区：
文献类型：
--
作者：
Aguado, Jose V.;Huerta, Antonio;Cueto, Elias
这项工作提出了一种实时监测热过程的简单技术。基于实时仿真的热过程控制是一个巨大的挑战，因为高保真数值仿真成本高昂，并且通常不能用于实时决策。通常，通过在某些特定点进行一些测量来监视或控制过程。因此，这里提出的策略集中于仅在需要时快速评估响应。为了实现这一目标，经典谐波分析与最新的模型简化技术相结合。这就产生了一种先进的谐波方法，可以实时求解监测点的瞬态热方程。为了应用互易原理，在空间频率域中使用谐波分析。然后，适当的广义分解（一种降阶方法）预先计算能够为给定激励产生输出响应的传递函数。该传递函数离线计算并且仅计算一次。可以通过执行计算成本低廉的后处理步骤来恢复监测点的响应。最后一步可以在线执行，以实时监控热处理过程。示例表明该方法适用于从快速温度评估到反演问题等各种问题。版权所有 (c) 2014 约翰·威利父子有限公司
This work presents a simple technique for real-time monitoring of thermal processes. Real-time simulation-based control of thermal processes is a big challenge because high-fidelity numerical simulations are costly and cannot be used, in general, for real-time decision making. Very often, processes are monitored or controlled with a few measurements at some specific points. Thus, the strategy presented here is centered on fast evaluation of the response only where it is needed. To accomplish this, classical harmonic analysis is combined with recent model reduction techniques. This leads to an advanced harmonic methodology, which solves in real time the transient heat equation at the monitored point.In order to apply the reciprocity principle, harmonic analysis is used in the space-frequency domain. Then, Proper Generalized Decomposition, a reduced order approach, pre-computes a transfer function able to produce the output response for a given excitation. This transfer function is computed offline and only once. The response at the monitoring point can be recovered performing a computationally inexpensive post-processing step. This last step can be performed online for real-time monitoring of the thermal process. Examples show the applicability of this approach for a wide range of problems ranging from fast temperature evaluation to inverse problems. Copyright (c) 2014 John Wiley & Sons, Ltd.