Detail publikace
Performant and Simple Numerical Modeling of District Heating Pipes with Heat Accumulation
KUDELA, L. CHÝLEK, R. POSPÍŠIL, J.
Anglický název
Performant and Simple Numerical Modeling of District Heating Pipes with Heat Accumulation
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
en
Originální abstrakt
This paper compares approaches for accurate numerical modeling of transients in the pipe element of district heating systems. The distribution grid itself affects the heat flow dynamics of a district heating network, which subsequently governs the heat delays and entire efficiency of the distribution. For an efficient control of the network, a control system must be able to predict how “temperature waves” move through the network. This prediction must be sufficiently accurate for real-time computations of operational parameters. Future control systems may also benefit from the accumulation capabilities of pipes. In this article, the key physical phenomena affecting the transients in pipes were identified, and an efficient numerical model of aboveground district heating pipe with heat accumulation was developed. The model used analytical methods for the evaluation of source terms. Physics of heat transfer in the pipe shells was captured by one-dimensional finite element method that is based on the steady-state solution. Simple advection scheme was used for discretization of the fluid region. Method of lines and time integration was used for marching. The complexity of simulated physical phenomena was highly flexible and allowed to trade accuracy for computational time. In comparison with the very finely discretized model, highly comparable transients were obtained even for the thick accumulation wall.
Anglický abstrakt
This paper compares approaches for accurate numerical modeling of transients in the pipe element of district heating systems. The distribution grid itself affects the heat flow dynamics of a district heating network, which subsequently governs the heat delays and entire efficiency of the distribution. For an efficient control of the network, a control system must be able to predict how “temperature waves” move through the network. This prediction must be sufficiently accurate for real-time computations of operational parameters. Future control systems may also benefit from the accumulation capabilities of pipes. In this article, the key physical phenomena affecting the transients in pipes were identified, and an efficient numerical model of aboveground district heating pipe with heat accumulation was developed. The model used analytical methods for the evaluation of source terms. Physics of heat transfer in the pipe shells was captured by one-dimensional finite element method that is based on the steady-state solution. Simple advection scheme was used for discretization of the fluid region. Method of lines and time integration was used for marching. The complexity of simulated physical phenomena was highly flexible and allowed to trade accuracy for computational time. In comparison with the very finely discretized model, highly comparable transients were obtained even for the thick accumulation wall.
Klíčová slova anglicky
district heating; heat accumulation; pipe; numerical model; Modelica language; Julia language; performance
Vydáno
16.02.2019
Nakladatel
MDPI
Místo
Basel, Switzerland
ISSN
1996-1073
Ročník
12
Číslo
4
Strany od–do
1–23
Počet stran
23
BIBTEX
@article{BUT155925,
author="Libor {Kudela} and Radomír {Chýlek} and Jiří {Pospíšil},
title="Performant and Simple Numerical Modeling of District Heating Pipes with Heat Accumulation",
year="2019",
volume="12",
number="4",
month="February",
pages="1--23",
publisher="MDPI",
address="Basel, Switzerland",
issn="1996-1073"
}