A General Fractional-Order Thermal Model for Buildings and Its Properties

  • Pawel Skruch
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 257)


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.


modeling building temperature dynamics fractional-order differential equation stability 


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Copyright information

© Springer International Publishing Switzerland 2013

Authors and Affiliations

  1. 1.Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering, Department of Automatics and Biomedical EngineeringAGH University of Science and TechnologyKrakowPoland

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