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題 名 | Optimal Control of Eutrophication for a Reservoir: The Linear Quadratic Regulation Approach=最佳控制LQR方法應用於水庫優養之研究 |
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作 者 | 吳銘圳; 游以德; 郭振泰; | 書刊名 | 中國工程學刊 |
卷 期 | 20:4 1997.07[民86.07] |
頁 次 | 頁355-364 |
分類號 | 443.96 |
關鍵詞 | 優養控制; 線性平方調節法; 外界營養鹽負荷最佳削減量; 翡翠水庫入流量時間序列模式; Eutrophication control; Linear quadratic regulation; LQR; Optimal inffluent load reduction rate; ARMA model; |
語 文 | 英文(English) |
中文摘要 | 本論文提出應用最佳控制理論於水庫優養管理的新方法,理論基礎為利用線性平 方調節法LOR(liner quadratic regulation),推求進入水庫營養源的最佳削減量,以達到 動態控制的目標,並以翡翠水庫為實例,驗證本方法的可行性與實用性。水質優養模式為利 用本論文推演的狀態空間方程式型態,包括了葉綠素a、氨氮、亞硝酸氮、硝酸氮與磷酸鹽 等五項水質參數。水質模擬與驗證結果顯示,雖然水質資料有限,以線性非時變優養狀態空 間模式來模擬水庫水質,初步結果良好,較複雜的優養模式更具經濟實用,模擬準確性亦佳。 本研究發現,非點源污染與水文因子顯著影響翡翠水庫水質,因此本研究亦提出翡翠水庫入 流量時間序列模式(ARMA),以利污染負荷量的準確估計。動態控制的應用,使得水庫優養水 質亦可維持於貧養狀態。本論文提出的方法具有(l)可處理多變數水質系統的動態控制系統問 題,(2)可較前人的研究更具效益,模式所需的資料亦較少,模式應用結果的準確性良好。 |
英文摘要 | A new approach based on linear quadratic regulation (LQR) method is applied in this study to evaluate control strategies being decided by the optimal load reduction rates of influent nutrient for eutrophication management in a reservoir. Due to dynamic fluctuations occurring in the reservoir, proper adjustment of control strategies to the variations in water quality becomes necessary. Hence, to yield optimum results, a dynamic control strategy for the reservoir is needed. Feitsui Reservoir in northern Taiwan is used as a case study for the the models developed. Monitoring data obtained from Feitsui Reservoir is employed to verify the proposed method. A time invariant state-space eutrophication model is adopted in this study to predict the trophic state in the reservoir. The eutrophication model includes five water quality constituents (chlorophyll-a, NH3-N, NO2-N, NO3-N and PO4-P) and the LQR method is extended to the multi-variable system. Water quality in the reservoir is found to be mainly influenced by pollutants from nonpoint sources, particularly from agricultural activities. Moreover, hydrologic condition is also found to signifiicantly affect the trophic state. The trophic state in the reservoir is predicted by using the eutrophication model in combination with an ARMA (autoregressive/moving average) inflow model. Results of this study show that the state-space eutrophication model can predict water qualities well with limited data. Also, optimal dynamic control enables the reservoir operator to maintain the trophic level below a certain trophic state. The advantages of the proposed approach include: 1) the versatility of dealing with the multi-variable system, and 2) an efficient and economic management through dynamic optimization scheme for the control of reservoir eutrophication. |
本系統中英文摘要資訊取自各篇刊載內容。