Testing Large Scale System Simulation using Linear Implicit Equilibrium Dynamics

The concept of flattening where all model equations are collected in a single set is deeply hardwired into the Modelica language. While flattening enables effective symbolic manipulation such as the reduction of systems with a higher-index, it also imposes limitations. Two of these limitations are that the code generation for very large systems may not scale very well and that a statement on the regularity of the system often cannot be made before the flattening took place. Whereas it is difficult to overcome these limits in the general case, there is a subclass within Modelica models that is comparatively easy to precompile while still enabling the modeling of complex systems. This paper explores this path and presents first experiments on the scalability for larger systems.

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Publication Details

Journal
Linköping electronic conference proceedings
Published
2025-11-13
DOI
https://doi.org/10.3384/ecp21785
Primary Topic
Modeling and Simulation Systems
Type
article
Field-Weighted Citation Impact
0.00

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article

Testing Large Scale System Simulation using Linear Implicit Equilibrium Dynamics

Dirk Zimmer
Linköping electronic conference proceedings
Modeling and Simulation Systems
article

Testing Large Scale System Simulation using Linear Implicit Equilibrium Dynamics

Dirk Zimmer
article en

Abstract

The concept of flattening where all model equations are collected in a single set is deeply hardwired into the Modelica language. While flattening enables effective symbolic manipulation such as the reduction of systems with a higher-index, it also imposes limitations. Two of these limitations are that the code generation for very large systems may not scale very well and that a statement on the regularity of the system often cannot be made before the flattening took place. Whereas it is difficult to overcome these limits in the general case, there is a subclass within Modelica models that is comparatively easy to precompile while still enabling the modeling of complex systems. This paper explores this path and presents first experiments on the scalability for larger systems.

Linköping electronic conference proceedingsVol. 217
Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR) (DE)
ITEA
Openalex Percentile: Top 30%
Modeling and Simulation Systems
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Testing Large Scale System Simulation using Linear Implicit Equilibrium Dynamics — Dirk Zimmer · Linköping electronic conference proceedings (2025) | TGRS Research Map | TGRS