Simultaneous optimisation of temperature and energy in linear energy system models
Optimization and Control
2022-05-24 v1 Systems and Control
Systems and Control
Abstract
Linear programming is used as a standard tool for optimising unit commitment or power flows in energy supply systems. For heat supply systems, however, it faces a relevant limitation: For them, energy yield depends on the output temperature, thus both quantities would have to be optimised simultaneously and the resulting problem is quadratic. As a solution, we describe a method working with discrete temperature levels. This paper presents mathematical models of various technologies and displays their potential in a case study focused on integrated residential heat and electricity supply. It is shown that the technique yields reasonable results including the choice of operational temperatures.
Cite
@article{arxiv.2012.12664,
title = {Simultaneous optimisation of temperature and energy in linear energy system models},
author = {Patrik Schönfeldt and Adrian Grimm and Bhawana Neupane and Herena Torio and Pedro Duran and Peter Klement and Benedikt Hanke and Karsten von Maydell and Carsten Agert},
journal= {arXiv preprint arXiv:2012.12664},
year = {2022}
}