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Mathematics > Optimization and Control

arXiv:2012.12664 (math)
[Submitted on 23 Dec 2020]

Title:Simultaneous optimisation of temperature and energy in linear energy system models

Authors:Patrik Schönfeldt, Adrian Grimm, Bhawana Neupane, Herena Torio, Pedro Duran, Peter Klement, Benedikt Hanke, Karsten von Maydell, Carsten Agert
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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.
Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY)
Cite as: arXiv:2012.12664 [math.OC]
  (or arXiv:2012.12664v1 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.2012.12664
Related DOI: https://doi.org/10.1109/OSMSES54027.2022.9768967

Submission history

From: Patrik Schönfeldt [view email]
[v1] Wed, 23 Dec 2020 13:57:30 UTC (3,550 KB)
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