论文标题
最佳热泵计划的解决方案空间
Solution space of optimal heat pump schedules
论文作者
论文摘要
我们研究了使用用于加热住宅建筑物的热能存储的热泵的最佳时间表的空间。我们将加热系统建模为混合整数线性程序,以最大程度地减少加热成本。我们产生大量逼真的每日热量需求,并计算热泵的最佳时间表。除了最佳运行所产生的成本节省外,我们还发现,即使是我们使用的最简单的加热系统模型,最佳时间表的空间也很大,并且最佳计划很难通过统计模型来复制。这些发现加强了在现实生活应用中使用数学优化的情况。
We study the space of optimal schedules for a heat pump with thermal energy storage used in heating a residential building. We model the heating system as a Mixed Integer Linear Program with the objective to minimise the cost of heating. We generate a large number of realistic daily heat demands and calculate the optimal schedule for the heat pump. In addition to cost savings stemming from optimal running, we find that the space of optimal schedules is large in practice, even for the simplest model of the heating system we use, and that the optimal schedules are difficult to reproduce with statistical models. These findings strengthen the case for the use of mathematical optimisation in real-life applications.