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.
@article{arxiv.2008.09794,
title = {Solution space of optimal heat pump schedules},
author = {David Kraljic and Miha Troha},
journal= {arXiv preprint arXiv:2008.09794},
year = {2020}
}