以數學規劃法做用水網路最適化設計之研究

A Study on Optumal Water Newtoks Design by Mathematical Programming Approach

歐慶忠(Ching-Zhong Ou)

指導教授 ： 陳誠亮

國立臺灣大學/工學院/化學工程學研究所/碩士(2005年)

https://doi.org/10.6342/NTU.2005.02443

摘要

本研究針對工廠用水網路設計提供了一個數學方法，同時考慮了
滿足所有製程用水單元需求的最適化水網路設計，以及最適化的污水排放。
另外，在水網路型態上，也將再生再利用和再生再循環利用水網路，兩者不同型態的水網路設計，
詳加說明，並利用兩個簡單的例子加以分辨其水網路型態的不同。
而這個以超結構為背景數學模式建構，包含了許多實際操作的限制式，例如
供應水流量限制，操作成本，污水處理成本，以及管線成本等等，
最後將產生一個混合整數非線性規劃的問題；為了求得最適化水網路設計結構與設計成本考量上的平衡
，本研究提出了一個不同設計策略，分別對最適化供應水使用量的水網路設計，以及最適化總成本的水網路設計
做分析比較。最後以本研究所建立的數學模式，對三個不同目標需求的工廠製程做製程用水網路最適化模擬。

關鍵字

水網路 ； 數學規劃法 ； 混合非線性規劃

並列摘要

A mathematical programming approach for the water networks design
in any chemical plant is developed in this paper.
This approach considers simultaneously the optimal water networks to satisfy water-using unit demands
and optimal treatment of effluent streams.
Concept of regeneration reuse and regeneration recycling water networks is explained and distinguished
in this method.
The based on superstructure mathematical programming approach, which includes many practical operating
constraints, flowrate limitations of water supply, operating costs, treatment costs,
and piping and sewer costs, will result in a mixed-integer nonlinear programming problem.
Complex trade-off involving optimal water networks design structure, as well as design costs has been included
in this MINLP problem.
Therefore, a different design strategy is presented in this study, and there are
analytic comparisons between final water-using network designs
for optimal water supply flowrates and optimal total annual cost.
Furthermore, three water-using processes having different design objectives are used to
demonstrate this approach.

並列關鍵字

Water Newtok ； Mathematical Programming ； Superstructure

參考文獻

[1] Bagajewicz, M., and Manousiouthakis, V. “Mass/heat exchange network representation of distillation networks,” AIChE, vol. 38, p. 1769, 1992.

[2] Bagajewicz, M., Pham, R., and Manousiouthakis, V. “On the state space approach to mass/heat exchanger network design,” Chem. Eng. Sci., vol. 53, p. 2595, 1998.

[4] Chang, C. T. and Li, B. H. “Inproved optimization strategies for generating practical waterusage and -treatment network structures,” Ind. Eng. Chem. Res., vol. 44, p. 3607, 2005.

[5] Douglas, J. “Process synthesis ofr waste minimization,” Ind. Eng. Chem. Res., vol. 31, p. 238, 1992.

[6] Doyle, S. and Smith, R. “Targeting water reuse with multiple contaminants,” Trans. Inst. Chem. Eng, vol. 75, p. 181, 1997.