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頁籤選單縮合
題名 | 上線逆向熱傳導問題之分析=Analysis of On-Line Inverse Heat Conduction Problems |
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作者 | 段伴虬; 馮力威; 黃文堂; | 書刊名 | 中正嶺學報 |
卷期 | 25:1 1996.07[民85.07] |
頁次 | 頁59-73 |
分類號 | 335.21 |
關鍵詞 | 逆向熱傳導; 卡爾曼濾波技術; 輸入估算法; 上線; Inverse heat conduction; Kalman filtering; Input estimation; On-line; |
語文 | 中文(Chinese) |
中文摘要 | 本文提出一全新求解上線逆向熱傳導問題之方法。以卡爾曼濾波技術觀念為基礎 所發展的輸入估算法則,用來即時估算未知量,如某邊界上之熱源或熱通量等。本方法導出 有未知熱通量之實際剩餘值序列與卡爾曼濾波器之理論剩餘值序列,其間的遞迴關係式。一 遞迴即時最小平方演算法推導出來,其運用剩餘值更新序列計算輸入熱通量。由數個典型瞬 變和時變熱通量輸入的例子之模擬分析與驗證結果,展現了本方法優異的估算性能,而且易 於硬體實現。 |
英文摘要 | A new methodology to solve the inverse heat conduction problem is presented. An input estimation approach based on the concept of Kalman filtering is developed to estimate the unknowns in real time, such as the heat source or the heat flux on the boundary etc.. A recursive relation between the observed value of the residual sequence with unknown heat flux and the theoretical residual sequence of the Kalman filter that assumes known heat flux is formulated. A recursive real time least squares algorithm is derived that uses the residual innovation sequence to compute the magnitude of heat flux. This novel approach facilitates practical implementation and its capabilities are analyzed and demonstrated in several typical cases with discontinuous and time varying heat flux inputs. |
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