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Erschienen in:
2013 | OriginalPaper | Buchkapitel
A General Fractional-Order Thermal Model for Buildings and Its Properties
verfasst von : Pawel Skruch
Erschienen in: Advances in the Theory and Applications of Non-integer Order Systems
Verlag: Springer International Publishing
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The paper presents a general model of the temperature dynamics in buildings. The modeling approach relies on thermodynamics, in particular heat transfer, principles. The model considers heat loses by conduction and ventilation and internal heat gains. The parameters of the model can be determined uniquely from the geometry of the building and thermal properties of construction materials. The model is described by fractional-order differential equations and is presented using state space notation. The stability property of the model is analyzed. An illustrative example is provided.