论文标题
使用光谱群集在地区能量网络中热力学的降低订购模型
Reduced-Order Modeling of Thermal Dynamics in District Energy Networks using Spectral Clustering
论文作者
论文摘要
城市规模区域能源网格中热动力学的模拟通常在长时间的模拟运行中变得过时。当前的模型降低方法对于非还原系统提供了有限的可解释性，并且通常不适用于例如不同的流速，多个生产商或不断变化的流动方向。本文提出了一种基于图理论的新方法，该方法近似于优化问题的解决方案，该解决方案将网格中热传输的局部截断误差最小化。结果表明，该方法可用于减少城市尺度能量网格的热动态模型，从而导致时间和空间分辨率更粗糙。在评估方案中，温度的相对均方根误差为2.3 \％，将减少订单系统与未还原的系统进行比较，在更粗的时间步长的情况下。
Simulation of thermal dynamics in city-scale district energy grids often becomes computationally prohibitive for long simulation runs. Current model order reduction methods offer limited interpretability with regards to the non-reduced system, and are not in general applicable for e.g., varying flow rates, multiple producers, or changing flow directions. This article presents a novel method based on graph theory that approximates the solution of an optimization problem that minimizes the local truncation error for heat transport in the grid. It is shown that the method can be used to reduce the thermal dynamic model of a city-scale energy grid, resulting in a coarser temporal and spatial resolution. The relative root mean square error was 2.3\% for the temperature in the evaluation scenario, comparing the reduced-order system with the non-reduced system at the instances of the coarser time-step.
