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

Hiroyasu Okuyama, Yoshinori Onishi, Shin Ichi 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
Subtitle of host publicationSustainable Built Environment
Pages169-176
Number of pages8
Publication statusPublished - 2007 Dec 1
Event6th International Conference on Indoor Air Quality, Ventilation and Energy Conservation in Buildings: Sustainable Built Environment, IAQVEC 2007 - Sendai, Japan
Duration: 2007 Oct 282007 Oct 31

Publication series

NameIAQVEC 2007 Proceedings - 6th International Conference on Indoor Air Quality, Ventilation and Energy Conservation in Buildings: Sustainable Built Environment
Volume3

Conference

Conference6th International Conference on Indoor Air Quality, Ventilation and Energy Conservation in Buildings: Sustainable Built Environment, IAQVEC 2007
CountryJapan
CitySendai
Period07/10/2807/10/31

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