Reduced model of boundary value dynamics of 1D diffusion - application to heat conduction

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F21%3A00355048" target="_blank" >RIV/68407700:21220/21:00355048 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21730/21:00355048

Výsledek na webu

<a href="https://doi.org/10.1109/PC52310.2021.9447522" target="_blank" >https://doi.org/10.1109/PC52310.2021.9447522</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/PC52310.2021.9447522" target="_blank" >10.1109/PC52310.2021.9447522</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Reduced model of boundary value dynamics of 1D diffusion - application to heat conduction

Popis výsledku v původním jazyce

Boundary value of a quantity, e.g. the surface temperature of a slab, has to be modeled in some cases, because it affects a process of interest. However, the boundary value is also affected back by the process on one side, and by the internal diffusion on the other side. Therefore, in this paper, the whole diffusion model has to be taken into account to handle the dynamics. Unfortunately, the diffusion model is quite computationally expensive, which is an issue especially for model-based control. Model order reduction, namely balanced truncation, has been applied to the time-continuous system of numerical representation of diffusion to keep just the necessary essence. This numerical representation has been modified in such a way to derive a state-space system with certain beneficial properties, such as system's symmetry, which allow a simpler procedure of the reduction. The one-dimensional diffusion has been manifested by heat conduction, where the internal temperature is affected just through the one (of two) boundary point by general time-varying heat flux. The concepts have been introduced in a practical way and followed by application examples.

Název v anglickém jazyce

Reduced model of boundary value dynamics of 1D diffusion - application to heat conduction

Popis výsledku anglicky

Boundary value of a quantity, e.g. the surface temperature of a slab, has to be modeled in some cases, because it affects a process of interest. However, the boundary value is also affected back by the process on one side, and by the internal diffusion on the other side. Therefore, in this paper, the whole diffusion model has to be taken into account to handle the dynamics. Unfortunately, the diffusion model is quite computationally expensive, which is an issue especially for model-based control. Model order reduction, namely balanced truncation, has been applied to the time-continuous system of numerical representation of diffusion to keep just the necessary essence. This numerical representation has been modified in such a way to derive a state-space system with certain beneficial properties, such as system's symmetry, which allow a simpler procedure of the reduction. The one-dimensional diffusion has been manifested by heat conduction, where the internal temperature is affected just through the one (of two) boundary point by general time-varying heat flux. The concepts have been introduced in a practical way and followed by application examples.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20303 - Thermodynamics

Projekt

<a href="/cs/project/TN01000024" target="_blank" >TN01000024: Národní centrum kompetence - Kybernetika a umělá inteligence</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Proceedings of the 23rd International Conference on Process Control

ISBN

978-1-6654-0330-6

ISSN

—

e-ISSN

—

Počet stran výsledku

6

Strana od-do

90-95

Název nakladatele

IEEE

Místo vydání

Piscataway

Místo konání akce

Štrbské Pleso

Datum konání akce

1. 6. 2021

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000723653400016