Modeling thermally active building components using space mapping

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Abstract

In order to efficiently implement thermally active building components in new buildings, it is necessary to evaluate the thermal interaction between them and other building components. Applying parameter investigation or numerical optimization methods to a differential-algebraic (DAE) model of a building provides a systematic way of estimating efficient building designs. However, using detailed numerical calculations of the components in the building is a time consuming process, which may become prohibitive if the DAE model is to be used for parameter variation or optimization. Unfortunately simplified models of the components do not always provide useful solutions, since they are not always able to reproduce the correct thermal behavior. The space mapping technique transforms a simplified, but computationally inexpensive model, in order to align it with a detailed model or measurements. This paper describes the principle of the space mapping technique, and introduces a simple space mapping technique. The technique is applied to a lumped parameter model of a thermo active component, which provides a model of the thermal performance of the component as a function of two design parameters. The technique significantly reduces the modeling error.
Original languageEnglish
Title of host publicationProceedings of the 7th Symposium on Building Physics in the Nordic Countries
Volume2
Place of PublicationReykjavik, Iceland
PublisherThe Icelandic Building Research Institute, Keldnaholti, IS-112 Reykjavik, Iceland
Publication date2005
Edition1st
Pages896-903
ISBN (Print)9979-9174-6-6
Publication statusPublished - 2005
Event7th Nordic Symposium on Building Physics - Reykjavik, Iceland
Duration: 13 Jun 200515 Jun 2005
Conference number: 7
http://web.byv.kth.se/bphys/reykjavik/

Conference

Conference7th Nordic Symposium on Building Physics
Number7
CountryIceland
CityReykjavik
Period13/06/200515/06/2005
Internet address

Cite this

Pedersen, F., Weitzmann, P., & Svendsen, S. (2005). Modeling thermally active building components using space mapping. In Proceedings of the 7th Symposium on Building Physics in the Nordic Countries (1st ed., Vol. 2, pp. 896-903). The Icelandic Building Research Institute, Keldnaholti, IS-112 Reykjavik, Iceland.