本研究的主要目標為根據賽局理論發展出可供決定工業園區廠際熱整合策略的數學規劃模式。過去有關多廠熱整合的研究大多僅考慮整體最大能源節省量，由於可能會使各廠獲利不平均，以致大多數無法實行。但若分析各工廠間的競合關係，廠際熱整合成功的關鍵應為能否找出在每一工廠自身利益最大化的前提下達到整體利益最大化的熱交換架構。在本研究中，我們將賽局理論中奈許平衡限制式整合在逐步最佳化的數學規劃模式中，具體言之，我們採用的設計步驟如下(一)計算所有工廠整體最少公用流體花費，(二)在維持第一步驟所得整體公用流體用量及奈許平衡限制式的前提下，計算廠際熱交換量及交易價格，(三)在維持前述公用流體消耗量及廠際熱交換量限制下決定最少廠內及廠際最佳配對及對應熱交換量，(四)建構達成最佳配對的最大平均化成本節省幅度的熱交換網路。最後也將上述設計方法應用於氯乙烯單體(VCM)程序與工業煉油程序中。

A mathematical programming approach is proposed in this paper to synthesize proper inter-plant heat integration schemes on the basis of game theory. Notice that almost all conventional strategies focused upon recovering maximum energy from the integrated plants. Although the largest overall benefit can be realized with such strategies, the resulting cost savings may be distributed unevenly (or even unfairly) among all involved parties. This undesirable feature often rendered the aforementioned “optimal” schemes infeasible. Therefore, the key to successful application of any inter-plant heat integration scheme in practice is to allow every plant to maximize its own saving while striving for the highest overall benefit at the same time.
A sequential design procedure is followed in this study. In particular, each heat integration scheme is generated in four consecutive steps to determine (1) the minimum overall utility cost, (2) by maintaining the first step overall utility usage and Nash equilibrium constraints, the heat flows between every pair of plants and also their fair trading prices are then calculated accordingly, (3) the second step utility usage and inter-plant heat flow, is also maintained to decide the minimum number of heat-exchanger units, and (4) the heat exchanger networks in maximum total annual cost saving is later constructed. Finally, this sequential procedure has been successfully applied to the vinyl chloride monomer (VCM) process and refinery process.

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