應用數學規劃法設計冰水網路及冰水主機操作策略

A Mathematical Approach for the Design of Refrigerated Water Network and Chiller Operating Strategy

李孟達(Meng-Da Lee)

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(2011年)

https://doi.org/10.6342/NTU.2011.03126

摘要

本文同時針對冰水網路系統及冰水主機操作策略，提出以數學規劃法的方式進行整體最適化的設計。

首先我們提出一個可以描述所有可能的冰水網路超結構
，針對超結構中的每一個單元逐步建立規範方程式，即可將冰水網路系統的最適化問題變成一個典型的混合整數非線性規劃(MINLP)數學問題，
再經求解可以獲得冰水網路系統的最適化設計。
目標函數(1)為最小總冰水消耗量，對一個虛擬的例子作不同情境的最適化並比較其結果；接著，基於目標函數(1)的結果，我們為了得到唯一解，所以提出目標函數(2)
為每一冰水使用單元最小通過量。

再者，我們也提出冰水主機之超結構，考慮不同的冰水主機操作上下限，利用目標函數(3)為最少固定及變動操作成本去探討不同網路結構對其操作策略之影響
。接著透過目標函數(4)使得冰水操作方式可以獲得一個唯一解。

最後我們利用一個簡單的冰水網路合成例子，
驗證本研究所提出之數學模型及超結構上可設計出適當的冰水網路設計
與冰水主機操作策略織架構與操作條件。

關鍵字

最適化 ； 超結構 ； 冰水網路系統 ； 冰水主機 ； 混合整數非線性規劃

並列摘要

This work aims to develop a mathematical model for the synthesis of
refrigerated water network systems and chiller operating strategy simultaneously.

First of all, we proposed one model which includes all possible configurations of
refrigerated water network system under all conditions.
By setting relevant constraints up for each part of the
superstructure, the design problem of refrigerated water
network system is formulated as a mixed-integer nonlinear
program that can be solved for optimal configuration of
refrigerated water network.
Objective functions 1 and 2 are considered which
involving the mimnimization of refrigerated water supply and
obtaining a unique network structure.

Furthermore we also proposed a superstructure for chillers' operation, considering
different operating upper and lower bounds. In this work, two objective functions
are considered to minimize fixed and variable operating cost.

Finally, numerical examples are used to show that the proposed approach can provide
the optimal design of refrigerated water network system and chiller operating strategy.

並列關鍵字

Optimization ； Superstructure ； Refrigerated Water Network Systems ； Chiller ； Mixed-integer nonlinear programming (MINLP)

參考文獻

for systhesis of re-circulating cooling-water network with intermediate mains.

Journal of Chemical Engineering of Japan, 40:235, 2007.

[4] Feng, X. and Seider, W.D. New structure and design methodology for water networks.

Ind. Eng. Chem. Res., 40:6140, 2001.

[5] Feng, X. and Shen B. Wang. Recirculating Cooling-water Network with an intermediate