# Implicit Multilinear Modeling of Air Conditioning Systems

### Torben Warnecke, Gerwald Lichtenberg

#### 2023

#### Abstract

The publication explores the applicability of implicit multilinear model approaches in air conditioning systems. Implicit multilinear time-invariant models offer a structure that allows for the representation of most of the fundamental physical equations of HVAC systems. Since the implicit multilinear time-invariant model class is closed, it enables a component-based modeling approach to represent various types of HVAC systems with different combinations of components. Multilinear time-invariant models are usually represented by tensors. With HVAC-Systems having a large number of inputs and states, the models can be efficiently represented in a decomposed manner, resulting in a matrix representation. As an example, the model of a precision climatization hutch with a PI controller is derived and simulated.

Download#### Paper Citation

#### in Harvard Style

Warnecke T. and Lichtenberg G. (2023). **Implicit Multilinear Modeling of Air Conditioning Systems**. In *Proceedings of the 13th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH*; ISBN 978-989-758-668-2, SciTePress, pages 440-447. DOI: 10.5220/0012138200003546

#### in Bibtex Style

@conference{simultech23,

author={Torben Warnecke and Gerwald Lichtenberg},

title={Implicit Multilinear Modeling of Air Conditioning Systems},

booktitle={Proceedings of the 13th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH},

year={2023},

pages={440-447},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0012138200003546},

isbn={978-989-758-668-2},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 13th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH

TI - Implicit Multilinear Modeling of Air Conditioning Systems

SN - 978-989-758-668-2

AU - Warnecke T.

AU - Lichtenberg G.

PY - 2023

SP - 440

EP - 447

DO - 10.5220/0012138200003546

PB - SciTePress