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首页> 外文期刊>Building and Environment >Statistical Data Analysis Method For Multi-zonal Airflow Measurement Using Multiple Kinds Of Perfluorocarbon Tracer Gas
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Statistical Data Analysis Method For Multi-zonal Airflow Measurement Using Multiple Kinds Of Perfluorocarbon Tracer Gas

机译：使用多种全氟化碳示踪气体进行多区域气流测量的统计数据分析方法

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摘要

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 Λ_q 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 _mΛ_q 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.
机译：通过多种类型的全氟化碳示踪剂进行的常规多区域通气测量方法使用的多种不同气体的数量等于区域数（n）。根据气体的质量平衡和气流平衡估算可能的n×n + n气流。但是，由于区域间的几何形状，可能不会出现某些气流，并且引入不必要的未知参数可能会损害估计的准确性。同样，各种误差因素通常会产生不合理的负气流速率。传统方法不足以评估误差。这项研究描述了一种使用最小二乘技术来提高估计精度和评估可靠性的方法。从方程的残差，推导出估计的气流速率误差的误差方差-协方差矩阵Λ_q。另外，介绍了使用残差平方和和总变化的行列式系数。此外，从气体浓度和气体排放率中的测量误差推导误差矩阵_mΛ_q。模型前提的差异率是通过将前者的对角元素除以后者的对角元素来定义的。此外，基于三种估算方法的不同结果，定义了估算的负气流速率的不合理性指标。还进行了一些数值实验，以验证流量估计和可靠性评估理论。

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