Model order reduction of hyperbolic systems at the example of district heating networks
Abstract
In this article a framework for the generation of a computationally fast surrogate model for district heating networks is presented. An appropriate model results in an index-1 hyperbolic, differential algebraic equation quadratic in state, exhibiting several hundred of outputs to be approximated. We show the existence of a global energy matrix which fulfills the Lyapunov inequality ensuring stability of the reduced model. By considering algebraic variables as parameters to the dynamical transport, the reduction of a linear, time varying (LTV) problem results. We present a scheme to efficiently combine linear reductions to a global surrogate model using a greedy strategy in the frequency domain. The numerical effectiveness of the scheme is demonstrated at different, existing, large scale networks.
Keywords
Cite
@article{arxiv.1903.03342,
title = {Model order reduction of hyperbolic systems at the example of district heating networks},
author = {Markus Rein and Jan Mohring and Tobias Damm and Axel Klar},
journal= {arXiv preprint arXiv:1903.03342},
year = {2019}
}