Estimation of Continuous-Time Models for the Heat Dynamics of a Building

Henrik Madsen, Jan Holst

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    This paper describes a method for estimation of continuous-time models for the heat dynamics of buildings based on discrete-time building performance data. The parameters in the continuous-time model are estimated by the maximum likelihood method where a Kalman filter is used in calculating the likelihood function. The modeling procedure is illustrated by using measurements from an experiment where the heat input from electrical heaters is controlled by a pseudorandom binary signal. For the considered building a rather simple model containing two time constants is found adequate. Owing to the continuous-time formulation the parameters of the model are directly physically interpretable. The performance of the model for both forecasting and simulation is illustrated.
    Original languageEnglish
    JournalEnergy and Buildings
    Volume22
    Issue number1
    Pages (from-to)67-79
    ISSN0378-7788
    DOIs
    Publication statusPublished - 1995

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