頁籤選單縮合
題 名 | 限制性卡門濾波器應用於馬斯金更洪水演算=Application of the Constrained Kalman Filter on Muskingum Flood Routing |
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作 者 | 陳昶憲; 康村啟; 陳建宏; | 書刊名 | 臺灣水利 |
卷 期 | 46:2=182 1998.06[民87.06] |
頁 次 | 頁30-37 |
分類號 | 443.42 |
關鍵詞 | 限制性卡門濾波器; 馬斯金更法; 洪水演算; Constrained kalman filter; Muskingum method; Flood routing; |
語 文 | 中文(Chinese) |
中文摘要 | 由於馬斯金更洪水演算差分式三係數和為 1,因此本文修改傳統卡門濾波器之優 選原則,以誤差協方差對卡門權重一次導數取極小為目標函數,以卡門權重分量和為零定為 限制式,並利用拉氏乘數法求其最佳解,以此設計限制性卡門濾波器;應用於烏溪實際洪水 演算時,顯示其適用性頗佳。另亦發現,透過濾波器,馬斯金更洪水演算差分式之三個參數 ,在演算時變過程中呈現穩定狀態,本文嘗試以其時變平均值為區域代表參數,建立定率洪 水演算模式,並進行檢定與驗證,其結果相當合理,亦即限制性卡門濾波器可作為推估定率 馬斯金更模式參數之用。 |
英文摘要 | Based on the theoretic derivation of Muskingum flood routing model, the sum of the three parameters is unit. The optimum principle of Kalman filter was conducted for Miskingum flood routing. In this paper, the mininmum of the derivative of the error covariance to Kalman gain is used as objective function. The constrain is the sum of Kalman gain components equal to zero. The Lagrange multipliers methed was used to obtain the optimun solution. In the practical application, the simulated results are found that Muskingum flood routing method using constrained Kalman filter algorithm is reasonable. Furthmore, the parameters of Muskingum method in routing process are almost constant. The average time of the varied parameters are used as regional representative parameters. The calibration and verification runs show that the deterministic Muskingum method constructed by regional representative parameters is practicable. In other words, the constrained Kalman filter algorithm can be used to estimate the parameters of the deterministic Muskingum model. |
本系統中英文摘要資訊取自各篇刊載內容。