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Modeling approaches for the characterization of building thermal dynamics and model-based control: A case study

机译：表征建筑热力学和基于模型的控制的建模方法：一个案例研究

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摘要

This article investigates two building thermal modeling approaches: (a) frequency response analysis and (b) a low-order gray-box resistance-capacitance thermal network. Frequency response analysis is a valuable tool for building dynamic response characterization and model-based control studies. Low-order models reflecting the dynamic response of the building are essential for practical model-based control. A case study used for investigation is conducted on a large environmental chamber with a high thermal capacity concrete floor. The chamber represents a typical building zone with a thermal capacity floor. A detailed frequency-domain model is first developed for the environmental chamber and verified with experimental measurements. In addition, three different low-order gray-box resistance-capacitance thermal network models (of the second, third, and fourth orders) are also developed for the environmental chamber. The effective parameters of the low-order models are obtained through an optimization routine. Then, from these detailed and low-order models, transfer functions linking indoor air temperature to the convective cooling/heating source are obtained and studied. The third- and fourth-order resistance-capacitance models are shown to represent with acceptable accuracy the thermal dynamics of a high thermal mass zone with a convective heating/cooling source. The presented investigation approach can be applicable to other types of zones and buildings.
机译：本文研究了两种建筑热建模方法：（a）频率响应分析和（b）低阶灰盒电阻电容热网络。频率响应分析是建立动态响应特性和基于模型的控制研究的宝贵工具。反映建筑物动态响应的低阶模型对于实际的基于模型的控制至关重要。用于调查的案例研究是在具有高热容量混凝土地板的大型环境室内进行的。腔室代表具有热容量底板的典型建筑区域。首先为环境舱开发了详细的频域模型，并通过实验测量进行了验证。此外，还为环境舱开发了三种不同的低阶灰箱电阻电容热网络模型（第二，第三和第四阶）。低阶模型的有效参数是通过优化例程获得的。然后，从这些详细的低阶模型中，获得并研究了将室内空气温度与对流冷却/加热源联系起来的传递函数。示出了三阶和四阶电阻电容模型，其以可接受的精度表示了具有对流加热/冷却源的高热质量区的热动力学。提出的调查方法可以适用于其他类型的区域和建筑物。

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