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An improved lumped parameter method for building thermal modelling

机译：建筑热模型的改进集总参数方法

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In this work an improved method for the simplified modelling of the thermal response of building elements has been developed based on a 5-parameter second-order lumped parameter model. Previous methods generate the parameters of these models either analytically or by using single objective function optimisation with respect to a reference model. The analytical methods can be complex and inflexible and the single objective function method lacks generality. In this work, a multiple objective function optimisation method is used with a reference model. Error functions are defined at both internal and external surfaces of the construction element whose model is to be fitted and the resistance and capacitance distributions are adjusted until the error functions reach a minimum. Parametric results for a wide range (45) of construction element types have been presented. Tests have been carried out using a range of both random and periodic excitations in weather and internal heat flux variables resulting in a comparison between the simplified model and the reference model. Results show that the simplified model provides an excellent approximation to the reference model whilst also providing a reduction in computational cost of at least 30%.
机译：在这项工作中，基于五参数二阶集总参数模型，开发了一种用于简化建筑构件热响应建模的改进方法。先前的方法可以通过分析或相对于参考模型使用单个目标函数优化来生成这些模型的参数。分析方法可能是复杂且不灵活的，并且单目标函数方法缺乏通用性。在这项工作中，将多目标函数优化方法与参考模型一起使用。在要安装模型的建筑构件的内外表面都定义了误差函数，并调整了电阻和电容分布，直到误差函数达到最小值为止。已经提出了广泛的（45）种构造元素类型的参数结果。使用天气和内部热通量变量中的一系列随机和周期性激励进行了测试，从而比较了简化模型和参考模型。结果表明，简化模型提供了与参考模型的极佳近似，同时还使计算成本降低了至少30％。

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