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研究生： 羅方羿
Lo, Fang-Yi
論文名稱： 多廠熱交換網路翻修最適化設計及利益分攤計畫
Optimal Multi-Plant HEN Retrofit Designs and Benefit Allocation Plans
指導教授： 張珏庭
Chang, Chuei-Tin
學位類別： 碩士
Master
系所名稱： 工學院 - 化學工程學系
Department of Chemical Engineering
論文出版年： 2020
畢業學年度： 108
語文別： 英文
論文頁數： 293
中文關鍵詞： 廠際熱整合 、翻修設計 、數學規劃模式 、合作賽局 、核 、風險夏普利值
外文關鍵詞： interplant heat integration, retrofit design, mathematical programming model, cooperative game, core, risk-based Shapley value
相關次數： 點閱：211  下載：6 
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    • 近幾年在氣候變遷與環境汙染的情況下，有效的能源利用已成為一項重要的研究議題，而廠際熱整合則為其中一個有效的解決方式。一般而言，工業園區中已存在的工廠大多為不同時間所設立，且均已配置屬於各自廠內的最適化熱交換網路(heat exchanger network, HEN)，為了進一步提升工業園區的整體能源使用效率，故本研究發展出多廠熱交換網翻修設計的方法。另外，由於求解混合整數非線性規劃模型之目標為最大年總成本節省(total annual cost saving, TACS)，若各廠所分配之收益不符合公平性與合理性，其多廠熱交換網路設計方案即可能無法實現。為了解決此一利益分配問題，本研究採用兩階段方法分別產生最適化之多廠熱交換網路翻修設計與相應之利益分配方案。第一階段為透過直接或間接廠際熱整合方法產生基於三種不同翻修策略之多廠熱交換網路翻修設計。接著在第二階段計算基於合作賽局理論的相關指標，即核(core)、夏普利值(Shapley value)和風險夏普利值(risk-based Shapley value)。其中，夏普利值提供一個基於各廠平均邊際貢獻之利益分配方案，風險夏普利值則額外考慮了聯盟中潛在工廠停工所造成之風險損失，而各分配方案之可行性則可透過核以進行進一步檢驗。最後，本論文會以三廠案例詳細說明本研究所提出之方法。

    Energy efficiency has become an important issue in recent years due to serious problems caused by climate change and environmental pollution. Interplant heat integration is one of effective ways to address this issue. Generally, the existing chemical plants in an industrial park were rarely constructed at the same time and each has already been equipped with an optimal HEN. To further improve the energy efficiency of the entire park, the retrofit designs of multi-plant HENs are developed in this study. Since the HENs are traditionally revamped by solving a MINLP model to minimize the total annual cost (TAC) saving, the resulting scheme may not be realized if the total benefit is not allocated to the participating plants fairly. To resolve this profit distribution issue, a two-stage procedure is proposed to generate the optimal multi-plant HEN retrofit designs and also the corresponding benefit allocation plan. Three different revamp strategies are first utilized to generate the multi-plant retrofit designs via direct or indirect interplant heat exchanges. The benefit allocation schemes are determined according to the core, the Shapley values and the risk-based Shapley values in the second stage. The Shapley values provide initial distribution plan based on the average marginal contributions of plants, while the risk-based Shapley values take the additional expected loss of potential fallouts due to unplanned plant shutdowns into consideration. The feasibilities of the above allocation plans can then be tested according to the criteria of core. Finally, the proposed methodology is illustrated in detail with a three-plant example.

    摘要 i Abstract ii Acknowledgments iii Contents iv List of Tables viii List of Figures xix Nomenclature xxxiv Chapter 1 Introduction 1 1.1 Background 1 1.2 Literature Review 1 1.3 Research Objectives 4 1.4 Thesis Structure 5 Chapter 2 Grassroots Designs of Multi-Plant Heat Exchanger Networks 6 2.1 Superstructure for Grassroots Designs of Multi-Plant HENs 6 2.2 Model Constraints 7 2.3 Objective Functions 22 Chapter 3 Multi-plant HEN Retrofit Design via Direct Interplant Heat Integration 25 3.1 Superstructure for Retrofit Designs with Direct Multi-Plant Heat Integration 25 3.2 Superstructure Based Model Constraints 26 3.3 Revamp Strategies 30 3.4 Additional Constraints to Generate Retrofit Designs 33 3.4.1 Extra constraints needed for applying Strategy I 33 3.4.2 Extra constraints needed for applying Strategy II 39 3.4.3 Extra constraints needed for applying Strategy III 44 3.5 Objective Functions 49 3.5.1 Cost models utilized for implementation of Strategy I 50 3.5.2 Cost models utilized for implementation of Strategy II 52 3.5.3 Cost models utilized for implementation of Strategy III 53 3.6 Case Studies 54 3.6.1 Multi-plant HEN designs obtained by applying Strategy I 59 3.6.2 Multi-plant HEN designs obtained by applying Strategy II 70 3.6.3 Multi-plant HEN designs obtained by applying Strategy III 83 3.7 Summary 95 Chapter 4 Multi-plant HEN Retrofit Design via Indirect Interplant Heat Integration 96 4.1 Superstructure for Retrofit Designs with Indirect Multi-Plant Heat Integration 96 4.2 Superstructure Based Model Constraints 98 4.3 Revamp Strategies 107 4.4 Additional Constraints to Generate Retrofit Designs 109 4.4.1 Extra constraints needed for applying Strategy I 109 4.4.2 Extra constraints needed for applying Strategy II 110 4.4.3 Extra constraints needed for applying Strategy III 112 4.5 Objective Functions 114 4.5.1 Cost models utilized for implementation of Strategy I 115 4.5.2 Cost models utilized for implementation of Strategy II 116 4.5.3 Cost models utilized for implementation of Strategy III 117 4.6 Case Studies 118 4.6.1 Multi-plant HEN designs obtained by applying Strategy I 119 4.6.2 Multi-plant HEN designs obtained by applying Strategy II 137 4.6.3 Multi-plant HEN designs obtained by applying Strategy III 161 4.6.4 Multi-plant HEN designs obtained by introducing multiple intermediate loops with retrofit Strategy I 185 4.7 Summary 199 Chapter 5 Reasonable Benefit Allocation Plans for Multi-Plant HEN Retrofit Designs via Direct Interplant Heat Integration 201 5.1 Benefit Allocation Plans for Retrofit Designs with Strategy I 201 5.2 Benefit Allocation Plans for Retrofit Designs with Strategy II 217 5.3 Benefit Allocation Plans for Retrofit Designs with Strategy III 228 5.4 Summary 239 Chapter 6 Conclusions and Future Works 240 6.1 Conclusions 240 6.2 Future Works 240 References 241 Appendix A Cooperative Game Theory 245 A.1 Core 245 A.2 Shapley Values 246 A.2.1 Marginal contribution 247 A.2.2 Shapley values calculation 247 A.3 Risk-Based Shapley Values 248 A.3.1 Risk for potential fallouts of multi-plant HEN 248 A.3.2 Defective coalition 249 A.3.3 Cost savings of participating members in defective coalition 249 A.3.4 Expected loss 251 A.3.5 Risk-based Shapley values calculation 252 Appendix B Reasonable Benefit Allocation Plans for Multi-Plant HEN Retrofit Designs via Indirect Interplant Heat Integration 254 B.1 Benefit Allocation Plans for Retrofit Designs with Strategy I 254 B.2 Benefit Allocation Plans for Retrofit Designs with Strategy II 267 B.3 Benefit Allocation Plans for Retrofit Designs with Strategy III 280 B.4 Summary 293

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