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中文摘要：
随着石化生产装置日趋大型化、复杂化和一体化,过程系统中的操作单元之间以及物料流、能量流和信息流之间的组合关联复杂度不断增加,P-图理论通过公理约束生成严格超结构,可减少冗余结构的产生,得到了越来越广泛的应用。首先概述了P-图理论的数学定义、基本公理和求解算法及工作流程等,通过案例介绍了P-图理论的建模框架和图形表示。然后系统总结了自1992年P-图理论提出以来,其在分离网络综合、反应路径识别、换热网络综合等传统过程网络综合的应用,以及近年来在工艺路w线选择、供应链与调度优化等新兴研究领域的扩展。最后,比较分析了P-图理论与数学规划法的各自优势,提出了利用P-图求解非线性问题的改进思路,展望了P-图理论未来的研究方向,包括考虑经济、环境等因素的多目标优化,以及P-图与数学规划相结合,高效处理复杂大规模非线性规划问题等。
英文摘要：
With upsizing, complexifying and unifying in modern petro-chemical systems, the combined complexity among streams of mass, energy and information as well as among unit operations keeps increasing exponentially. P-graph theory has found widespread applications by generation of rigorous superstructures as a result of axiom constraints which may reduce creation of redundant structures. This review on P-graph theory began with the mathematical definition, fundamental axioms, solution algorithms and workflow, and a case study to show the modeling framework and graphic representation. A literature study of past 20 years＇ publications systemically summarized application of P-graph theory in traditional process system engineering of separation network synthesis, reaction path synthesis and heat exchange synthesis, and recent expansion in new areas of process technology selection, supply chain and process optimization. The advantages and disadvantages of P-graph theory and mathematical programming were compared, and improving ideas were proposed to solve nonlinear problems with P-graph theory. The prospective research and application of P-graph theory were forecasted, including multi-objective optimization in consideration of economic and environmental factors, effective solution of large complex nonlinear programming problems by the combination of both P-graph and mathematical programming, and other potential applications.
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