Statistical data analysis method for multi-zonal airflow measurement using multiple kinds of perfluorocarbon tracer gas

Hiroyasu Okuyama, Yoshinori Onishi, Shinichi Tanabe, Seiichi Kashihara

    Research output: Contribution to journalArticle

    17 Citations (Scopus)

    Abstract

    Conventional multi-zonal ventilation measurement methods by multiple types of perfluorocarbon tracers use a number of different gases equal to the number of zones (n). The possible n×n+n airflows are estimated from the mass balance of the gases and the airflow balance. However, some airflows may not occur because of inter-zonal geometry, and the introduction of unnecessary, unknown parameters can impair the accuracy of the estimation. Also, various error factors often yield an irrational negative airflow rate. Conventional methods are insufficient for the evaluation of error. This study describes a way of using the least-squares technique to improve the precision of estimation and to evaluate reliability. From the equations' residual, the error variance-covariance matrix Λq of the estimated airflow rate error is deduced. In addition, the coefficient of determinant using the residual sum of squares and total variation is introduced. Furthermore, the error matrix mΛq from the measurement errors in the gas concentration and gas emission rate is deduced. The discrepancy ratio of the model premises is defined by dividing the diagonal elements of the former by those of the latter. Moreover, the index of irrationality of the estimated negative airflow rate is defined, based on the different results of the three estimation methods. Some numerical experiments are also carried out to verify the flow rate estimation and the reliability evaluation theory.

    Original languageEnglish
    Pages (from-to)546-557
    Number of pages12
    JournalBuilding and Environment
    Volume44
    Issue number3
    DOIs
    Publication statusPublished - 2009 Mar

    Fingerprint

    statistical data
    airflow
    statistical analysis
    data analysis
    tracer
    Gases
    gas
    measurement method
    Covariance matrix
    Measurement errors
    matrix
    Gas emissions
    Ventilation
    estimation method
    evaluation
    ventilation
    Flow rate
    method
    Statistical Data Interpretation
    mass balance

    Keywords

    • Error analysis
    • Least squares
    • Multi-zonal airflow measurement
    • Perfluorocarbon tracer gas

    ASJC Scopus subject areas

    • Civil and Structural Engineering
    • Environmental Engineering
    • Geography, Planning and Development
    • Building and Construction

    Cite this

    Statistical data analysis method for multi-zonal airflow measurement using multiple kinds of perfluorocarbon tracer gas. / Okuyama, Hiroyasu; Onishi, Yoshinori; Tanabe, Shinichi; Kashihara, Seiichi.

    In: Building and Environment, Vol. 44, No. 3, 03.2009, p. 546-557.

    Research output: Contribution to journalArticle

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