A General Fractional-Order Thermal Model for Buildings and Its Properties
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.
Keywordsmodeling building temperature dynamics fractional-order differential equation stability
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