應用數學規劃法作壓縮式冷凍系統之設計

A Mathematical Programming Approach for Compression Refrigeration System

陳昱峯(Yu-Feng Chen)

指導教授 ： 陳誠亮

共同指導教授 ： 黃孝平(Hsiao-Ping Huang)

國立臺灣大學/工學院/化學工程學研究所/碩士(2010年)

https://doi.org/10.6342/NTU.2010.03232

摘要

本文針對壓縮式冷凍系統，提出以數學規劃法的方式進行整體最適化的設計。
提出一個可以描述不同狀況下所有可能結構的壓縮式冷凍超結構，針對超結構中的每一個環結逐步建立規範方程式，
即可以將壓縮式冷凍系統的最適化設計問題變成為一個典型的混合整數非線性規劃(MINLP)數學問題，
再經求解，可以獲得最終之壓縮式冷凍系統的最適化設計，包含冷凍系統架構以及系統中各地方之操作狀況。

本論文以針對最小壓縮機作功以及最小年總成本目標，在給予熱負荷以及操作溫度的情況下，探討兩種目標函數所得之最適化架構與操作條件，
與先前文獻結果進行比擬，驗證本研究所提出之數學模式及超結構上可設計出最適當的壓縮式冷凍系統之架構與操作條件。

關鍵字

數學規劃法 ； 壓縮式冷凍系統

並列摘要

This work aims to develop a mathematical model for the synthesis of refrigeration systems with continuous
temperature based on a superstructure. The newly proposed model includes all possible configurations of a
compression refrigeration system under all conditions. By setting relevant constraints up for each part of the
superstructure, the design problem of compression refrigeration system is formulated as a mixed-integer nonlinear
program that can be solved for optimal configuration and operating conditions.

In this work, two objective functions are considered which involve the minimization of compressor work and total
annual cost. With given cooling load and desired temperature, the optimal configuration and operating condition
are determined and compared with previous works. Through case studies (or examples), it is shown that the optimal
design of compression refrigeration system can be obtained with the proposed model.

並列關鍵字

Optimalizaion ； MINLP ； Compression Refrigeration System

參考文獻

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