Pareto front of ideal Petlyuk sequences using a multiobjective genetic algorithm with constraints
Pareto front of ideal Petlyuk sequences using a multiobjective genetic algorithm with constraints
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DOI：
10.1016/j.compchemeng.2008.11.004
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发表时间：
2009-02
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影响因子：
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通讯作者：
C. Gutiérrez‐Antonio;A. Briones-Ramírez
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文献类型：
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作者：
C. Gutiérrez‐Antonio;A. Briones-Ramírez
Petlyuk序列是一个非常有希望的选择，以减少能源消耗和资本成本的蒸馏。Petlyuk序列的优化设计意味着确定8个整数和3个连续变量，热负荷和级数可能较小，但达到指定的纯度。请注意，热负荷和阶段数在比赛中是可变的，因为我们不可能无限期地减少一个而不增加另一个。换句话说，我们有一个有约束的多目标问题。与其他数值策略相比，我们考虑从最小回流比到最小级数以及两者之间的所有设计的最优设计集的搜索。这组最优设计可以通过帕累托前沿来实现，帕累托前沿代表了多目标问题的一组不占主导地位的最优解。在这项工作中，我们实现了一种带约束的多目标遗传算法来获得Petlyuk序列的Pareto前。该算法与Aspen Plus仿真器相结合，采用了完整的网格方程和严格的相平衡计算。结果表明Petlyuk层序的设计有明显的趋势，可用于开发一种短设计方法。此外，所开发的工具不仅可以用于精馏塔的优化，还可以用于整个化工和石化装置的优化。
Petlyuk sequences are a very promissory option to reduce energy consumption and capital costs in distillation. The optimal design of Petlyuk sequence implies determining 8 integers and 3 continuous variables with the minor heat duty and number of stages possible, but reaching the specified purities. Note that the heat duty and the number of stages are variable in competition, since we cannot decrease indefinitely one without increasing the other. In other words, we have a multiobjective problem with constraints. In contrast with other numerical strategies proposed, we consider the search of optimal designs set, from minimum reflux ratio to minimum number of stages and all designs between them. This set of optimal designs can be achieved by means of Pareto front, which represents a set of optimal solutions not dominated for a multiobjective problem. In this work, we implemented a multiobjective genetic algorithm with constraints to obtain the Pareto front of Petlyuk sequences. This algorithm is coupled to Aspen Plus simulator, so the complete MESH equations and rigorous phase equilibrium calculations are used. Results show clear tendencies in the design of Petlyuk sequence, and can be used to develop a short design method. In addition, the tool developed can be used to optimize not only the distillation columns but also complete chemical and petrochemical plants.