Schuetz2 at 07:40, 3 March 2026

2026-03-03T07:40:28Z

← Older revision		Revision as of 07:40, 3 March 2026
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	}}		}}

	~~__NUMBEREDHEADINGS__~~

	== Motivation ==		== Motivation ==

Vettermann: add DOI

2024-03-15T14:39:08Z

add DOI

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	howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},		howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
	year = 2024,		year = 2024,
	doi = {}		doi = {10.5281/zenodo.10820678}
	}		}

Vettermann: add zenodo link

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add zenodo link

← Older revision		Revision as of 14:37, 15 March 2024
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	\|nparameters = 2		\|nparameters = 2
	\|components = A, B, C, E		\|components = A, B, C, E
	\|License = ~~N.A~~.		\|License = Creative Commons Attribution 4.0 International
	\|Creator = Lucas Kostetzer ([http://www.cadfem.de/ CADFEM])		\|Creator = Lucas Kostetzer ([http://www.cadfem.de/ CADFEM])
	\|Editor = [[User:Vettermann]]		\|Editor = [[User:Vettermann]]
	\|Zenodo-link = ~~N.A~~.		\|Zenodo-link = https://zenodo.org/records/10820678
	}}		}}

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	where <math> p_1 </math> is the heat transfer coefficient and <math> p_2 </math> is the mass flow in the pipes (FLUID116 elements with load heat flux).		where <math> p_1 </math> is the heat transfer coefficient and <math> p_2 </math> is the mass flow in the pipes (FLUID116 elements with load heat flux).

	All matrices can be downloaded from Zenodo. The '''battery pack''' is a benchmark for problems		All matrices can be downloaded from [https://zenodo.org/records/10820678 Zenodo]. The '''battery pack''' is a benchmark for problems
	containing unsymmetric matrices.		containing unsymmetric matrices.

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	@misc{dataBatteryPack,		@misc{dataBatteryPack,
	author = {Lucas Kostetzer},		author = {Lucas Kostetzer and Julia Vettermann},
	title = {Battery pack},		title = {Battery pack},
	howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},		howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},

Vettermann: Created page with "{{preliminary}} Category:benchmark Category:parametric Category:sparse Category:linear Category:first differential order Category..."

2024-03-12T08:39:02Z

Created page with "{{preliminary}}  Category:benchmark Category:parametric Category:sparse Category:linear Category:first differential order Category..."

New page

{{preliminary}} 

[[Category:benchmark]]
[[Category:parametric]]
[[Category:sparse]]
[[Category:linear]]
[[Category:first differential order]]
[[Category:ODE]]
[[Category:MIMO]]

{{Infobox
|Title = Battery pack
|Benchmark ID = batteryPack_n151642m10q10
|Category = misc
|System-Class = AP-LTI-FOS
|nstates = 151642
|ninputs = 10
|noutputs = 10
|nparameters = 2
|components = A, B, C, E
|License = N.A.
|Creator = Lucas Kostetzer ([http://www.cadfem.de/ CADFEM])
|Editor = [[User:Vettermann]]
|Zenodo-link = N.A.
}}

__NUMBEREDHEADINGS__

== Motivation ==
Due to the increasing interest in electromobility detailed knowledge about the thermal system behavior
of complete '''battery packs''' becomes crucial <ref name="geppert"/>. Many aspects like power performance and aging characteristics depend on the temperature of the system. Thus the use of reduced models is important for a fast simulation of the system behavior over a long period of time.

== Description ==

[[File:Battery.png|480px|thumb|right|<caption>Model of the battery pack.</caption>]]

The '''battery pack''' consists of 10 cells and a water-cooled plate .
The model has been generated and meshed in ANSYS.
SOLID90 elements have been used for the finite element discretization of the battery cells.
The flow problem has been modeled by FLUID116 elements, representing a one-dimensional pipe flow. Thereby
SURF152 elements have been used to realize the convection between fluid and cooled plate.
Thermal radiation and convection between battery pack and environment are neglected.
The contact between the individual battery cells and between cells and cooled plate has been modeled with
the help of the elements CONTA174 and TARGE170.

The ambient temperature as well as the fluid temperature at the entrance of the pipes has the given value of 0°C.

== Data ==
The parametric system of order <math> n=151642 </math> with <math> m=10 </math> inputs and <math> q=10 </math> outputs is of the following form

:<math>
\begin{align}
E\dot{T} & = (A + p_1 A_1 + p_2 A_2)T + Bu \\
y & = CT
\end{align}
</math>

with

:{| style="text-align:left"
| <math> E \in \mathbb{R}^{n\times n} </math> || - capacity matrix
|-
| <math> A \in \mathbb{R}^{n \times n} </math> || - basic conductivity matrix
|-
| <math> A_1 \in \mathbb{R}^{n \times n} </math> || - part of conductivity matrix arising from convection
|-
| <math> A_2 \in \mathbb{R}^{n \times n} </math> || - part of conductivity matrix arising from heat flux
|-
| <math> B \in \mathbb{R}^{n\times m} </math> || - input map
|-
| <math> C \in \mathbb{R}^{q\times n} </math> || - output map
|-
| <math> T \in \mathbb{R}^n </math> ||- state vector (temperature)
|-
| <math> u \in \mathbb{R}^{m} </math> ||- input vector (heat generation rate of each battery cell)
|-
| <math> y \in \mathbb{R}^{q} </math> ||- output vector (temperature at the center of each battery cell)
|-
|}

where <math> p_1 </math> is the heat transfer coefficient and <math> p_2 </math> is the mass flow in the pipes (FLUID116 elements with load heat flux).

All matrices can be downloaded from Zenodo. The '''battery pack''' is a benchmark for problems
containing unsymmetric matrices.

In the original model the values <math>p_1=500\tfrac{W}{m^2 K}</math> and <math>p_2=0.1\tfrac{W}{m^2}</math> for the parameters have been used.

== Origin ==
The model was created in ANSYS by Lucas Kostetzer ([http://www.cadfem.de/ CADFEM]). The export of the system matrices from ANSYS and the documentation for MOR Wiki were performed by [[User:Vettermann]].

==Citation==
To cite this benchmark, use the following references:

For the benchmark itself and its data:

@misc{dataBatteryPack,
author = {Lucas Kostetzer},
title = {Battery pack},
howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
year = 2024,
doi = {}
}

== Reference ==
<references>
<ref name="geppert"> Geppert, Michael: "Entwicklung einer Werkzeugkette für die Erstellung reduzierter thermischer Modelle für Batteriepacks", diploma thesis, Institute of Automotive Technology, Technische Universität München, Munich, Germany (2010).</ref>
</references>

Battery pack - Revision history

Schuetz2 at 07:40, 3 March 2026

Vettermann: add DOI

Vettermann: add zenodo link

Vettermann: Created page with "{{preliminary}} Category:benchmark Category:parametric Category:sparse Category:linear Category:first differential order Category..."