複合材料熱通量或熱對流係數逆向估算之研究

Studies on the Inverse Estimation of the Heat Flux or Heat Transfer Coefficient in Composite Materials

鄭中信(Chung-Hsin Cheng) ； 陳聰堅(Tsung-Chien Chen) ； 段伴虬(Pan-Chio Tuan) ； 張鴻源(Horng-Yuan Jang)

《航空太空及民航學刊.系列B》 38卷2期 (2006/10) Pp. 97-107

https://doi.org/10.6124/JAAA.200610_38(2).04

摘要

本文探討一維複合材料中具有未知邊界條件之逆向熱傳導問題，藉由邊界溫度之量測值，以輸入估測法分別對系統未知邊界條件之時變熱通量及熱對流係數進行逆向估算，並同時估算溫度場之暫態響應。輸入估測法是由卡爾曼濾波器(Kalman Filter, KF)及權重遞迴式最小平方估算器(Weighted Recursive Least-Square Estimator, WRLSE)所構成，將未知之邊界條件視?系統之未知輸入量，則卡爾曼濾波器可產生遞迴更新序列，此序列包含由未知時變輸入量和隨機之量測誤差所造成之系統偏移誤差，是一種遞迴式的線性最小方差估計，而權重遞迴式最小平方估算器則可辨識造成系統偏移之未知輸入量，文中模擬估算二種可能的典型熱傳導邊界條件，分別?未知之時變熱通量以及未知之時變熱對流係數；並以估測之未知輸入量求解溫度場之分布，經由模擬結果顯示本法能準確地估算複合材料之未知時變熱通量、熱對流係數及溫度場之暫態響應。

關鍵字

複合材料 ； 輸入估測法 ； 卡爾曼濾波器 ； 權重遞迴式最小平 ； 方估算器

並列摘要

The one dimensional inverse heat conduction problems of the composite materials with the unknown boundary conditions are discussed. Base on the boundary temperature measurement, the system's unknown boundary conditions such as the time varying heat flux or heat transfer coefficient can be estimated by Input Estimation (IE) approach inversely and the transient response of the temperature of the composite materials is calculated at the same time. The Input Estimation includes Kalman filter (KF) and weighted recursive least-square estimator (WRLSE). The unknown boundary conditions are regarded as the unknown inputs. Kalman Filter (KF) is linear recursive least square error covariance estimation and its purpose is to generate the recursive innovation sequence. Because this sequence contains bias or systematic errors caused by implicit unknown time-variant inputs and random errors from the measurement data. WRLSE is used to identify the unknown inputs. The methodology for estimating the time varying unknown heat flux, heat transfer coefficient and temperature distribution of the composite materials is also presented in this work. The simulation results show that the proposed algorithm can accurately estimate the unknown heat flux, heat transfer coefficient and the temperature transient response of the composite materials.

並列關鍵字

Composite material ； Input estimation ； Kalman filter ； Weighted recursive least-square estimator