Optimal Control of Dynamic District Heating Networks
Optimization and Control
2023-08-11 v1
Abstract
In the present paper an optimal control problem for a system of differential-algebraic equations (DAEs) is considered. This problem arises in the dynamic optimization of unsteady district heating networks. Based on the Carath\'eodory theory existence of a unique solution to the DAE system is proved using specific properties of the district heating network model. Moreover, it is shown that the optimal control problem possesses optimal solutions. For the numerical experiments different networks are considered including also data from a real district heating network.
Keywords
Cite
@article{arxiv.2308.05376,
title = {Optimal Control of Dynamic District Heating Networks},
author = {Christian Jäkle and Lena Reichle and Stefan Volkwein},
journal= {arXiv preprint arXiv:2308.05376},
year = {2023}
}