描述通風空間中二氧化碳濃度動態之隨機團塊參數模式

A Stochastic Lumped-Parameter Medel Describing the Dynamics of Carbon Dioxide Concentrations in a Ventilated Airspace

廖中明(Chung-Min Liao)

《農業機械學刊》 1卷2期 (1992/04) Pp. 9-19

https://doi.org/10.30062/JAM.199204.0002

摘要

本文描述一研究方法以估計在預測通風空間中二氧化碳濃度時所存在之不確定性。通風空間中二氧化碳濃度對量測資料如外界二氧化碳濃度，系統產生源及通風量均具高度靈敏性，而量測資料本身亦具隨機特性。此研究方法是以伊藤隨機微分方程式為主。此方程式可提供所考慮變數之統計特質，並可同時考慮存在於輸入值及模式係數之隨機性。模式中之隨機性乃視為一高斯白噪音過程。最後所推導出之動差方程式更可推算出二氧化碳濃度之平均，變異數及偏態係數值。此訊息對設計通風系統非常有用。模式之鑑定與實際應用亦有詳細論述。

關鍵字

動態行為 ； 高斯白噪音 ； 伊藤積分 ； 隨機微分方程式 ； 通風系統

並列摘要

A method for estimating the uncertainity in the prediction of carbon dioxide concentration in a ventilated airspace is described. Carbon dioxide concentration is sensitive to measured data such as outdoor carbon dioxide concentration, indoor source, and ventilation rate which are stochastic in nature. This method is based on Ito stochastic differential equation which provides the statistical characteristic of the state variables. The method can simultaneously consider randomness in the input and the coefficients. Randomness in this case is modelled as a Gaussian white noise process. The moment equations are developed which provide the mean, variance and skewness of carbon dioxide concentartion. This information is useful in design of the ventilation systems. The verification and practical use of the model are presented.

並列關鍵字

dynamic behavior ； Gaussian white noise ； Ito integral ； stochastic differential equation ； ventilation systems