Statistical data analysis method for multizonal airflow measurement using multiple kinds of perfluorocarbon tracer gas

Hiroyasu Okuyama, Yoshinori Onishi, Shinichi Tanabe, Seiichi Kashihara

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    Conventional multiple types of perfluorocarbon tracers use the number of gases equal to the number of zones (n). The possible nxn+n airflows are solved from the mass balance of the gas and the airflow balance. However, some airflows may not occur because of the actual interzonal geometry, and the introduction of unnecessary, unknown parameters can impair the accuracy of the estimations. Also, various error factors often yield an irrational negative airflow rate. Conventional methods have insufficient procedure for the evaluation of error. This study describes a way to use the least-squares technique to improve the precision of estimates and to evaluate reliability. From the equations' residual the error variance and covariance matrix Λ q of the estimated airflow rate error is deduced and also the coefficient of determinant using the residual square sum and total variation is introduced. Further the error matrix mΛ q caused by the measurement error of the gas concentration and gas emission rate is deduced. The discrepancy ratio of the model premise is defined by dividing the former diagonal elements by the latter ones. Moreover the index of irrationality of the estimated negative airflow rate is defined based on the difference of the three estimation methods results.

    Original languageEnglish
    Title of host publicationIAQVEC 2007 Proceedings - 6th International Conference on Indoor Air Quality, Ventilation and Energy Conservation in Buildings: Sustainable Built Environment
    Pages169-176
    Number of pages8
    Volume3
    Publication statusPublished - 2007
    Event6th International Conference on Indoor Air Quality, Ventilation and Energy Conservation in Buildings: Sustainable Built Environment, IAQVEC 2007 - Sendai
    Duration: 2007 Oct 282007 Oct 31

    Other

    Other6th International Conference on Indoor Air Quality, Ventilation and Energy Conservation in Buildings: Sustainable Built Environment, IAQVEC 2007
    CitySendai
    Period07/10/2807/10/31

    Fingerprint

    Gases
    Covariance matrix
    Measurement errors
    Gas emissions
    Statistical Data Interpretation
    Geometry

    Keywords

    • Error analysis
    • Least squares
    • Multizonal airflow measurement
    • Perfluorocarbon tracer gas

    ASJC Scopus subject areas

    • Energy Engineering and Power Technology
    • Renewable Energy, Sustainability and the Environment

    Cite this

    Okuyama, H., Onishi, Y., Tanabe, S., & Kashihara, S. (2007). Statistical data analysis method for multizonal airflow measurement using multiple kinds of perfluorocarbon tracer gas. In IAQVEC 2007 Proceedings - 6th International Conference on Indoor Air Quality, Ventilation and Energy Conservation in Buildings: Sustainable Built Environment (Vol. 3, pp. 169-176)

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

    IAQVEC 2007 Proceedings - 6th International Conference on Indoor Air Quality, Ventilation and Energy Conservation in Buildings: Sustainable Built Environment. Vol. 3 2007. p. 169-176.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Okuyama, H, Onishi, Y, Tanabe, S & Kashihara, S 2007, Statistical data analysis method for multizonal airflow measurement using multiple kinds of perfluorocarbon tracer gas. in IAQVEC 2007 Proceedings - 6th International Conference on Indoor Air Quality, Ventilation and Energy Conservation in Buildings: Sustainable Built Environment. vol. 3, pp. 169-176, 6th International Conference on Indoor Air Quality, Ventilation and Energy Conservation in Buildings: Sustainable Built Environment, IAQVEC 2007, Sendai, 07/10/28.
    Okuyama H, Onishi Y, Tanabe S, Kashihara S. Statistical data analysis method for multizonal airflow measurement using multiple kinds of perfluorocarbon tracer gas. In IAQVEC 2007 Proceedings - 6th International Conference on Indoor Air Quality, Ventilation and Energy Conservation in Buildings: Sustainable Built Environment. Vol. 3. 2007. p. 169-176
    Okuyama, Hiroyasu ; Onishi, Yoshinori ; Tanabe, Shinichi ; Kashihara, Seiichi. / Statistical data analysis method for multizonal airflow measurement using multiple kinds of perfluorocarbon tracer gas. IAQVEC 2007 Proceedings - 6th International Conference on Indoor Air Quality, Ventilation and Energy Conservation in Buildings: Sustainable Built Environment. Vol. 3 2007. pp. 169-176
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