公用工程灵活匹配的节点非结构拓展模型

doi:10.19596/j.cnki.1001-246x.8511

摘要/Abstract

摘要：

建立一种拓展节点非结构模型, 在冷热两端, 各额外增设一条冷热流股和常规热冷流股进行匹配, 判定冷热内部公用工程的生成, 实现公用工程在冷热流股上任意位置的独立匹配, 提升模型自由度。将强制进化随机游走算法引入到实际工程算例9SP、10SP、15SP中进行优化, 最优结果比现有文献分别节省了5 600＄·a^-1、848＄·a^-1、4 455＄·a^-1。该拓展模型的应用不仅可以得到更经济的换热网络设计, 并且具有更强的灵活性。

关键词: 节点非结构模型, 换热网络优化, 内部公用工程, 优化算法

Abstract:

An extended node unstructured model is established, and an additional cold and hot stream is set up to match with the conventional hot and cold stream to determine the generation of cold and hot internal utilities, so as to realize independent matching of utilities at any position on the cold and hot flow unit and improve the degree of freedom of the model. A forced evolution random walk algorithm was introduced to optimize three practical engineering examples 9SP, 10SP and 15SP, which saved 5 600＄·a^-1, 848＄·a^-1 and 4 455＄·a^-1, respectively, compared with the optimal literature. It shows that application of the extended model obtains more economical heat exchange network designs, and has a stronger universality as well.

Key words: node-wise non-structural model, heat exchange network optimization, internal utilities, optimization

韩新宇, 段欢欢, 崔国民, 肖媛, 杨其国, 张冠华. 公用工程灵活匹配的节点非结构拓展模型[J]. 计算物理, 2022, 39(6): 707-716.

Xinyu HAN, Huanhuan DUAN, Guomin CUI, Yuan XIAO, Qiguo YANG, Guanhua ZHANG. Node-wise Non-structural Expansion Model for Flexible Matching of Public Utilities[J]. Chinese Journal of Computational Physics, 2022, 39(6): 707-716.

图/表 13

图1 节点非结构模型示意图

Fig.1 A schematic of node unstructured model

图2 公用工程替代温度交叉换热单元

Fig.2 Utility alternative temperature cross heat exchange unit

图3 拓展优化模型

Fig.3 Extended optimization model

图4 简化模型

Fig.4 Simplified model

图5 基于拓展模型的RWCE算法流程

Fig.5 RWCE algorithm flow based on the extended model

图6 使用NNM模型得到的最优结构图

Fig.6 Optimal structure diagram obtained with NNM model

图7 使用US-NNM模型得到的最优结构图

Fig.7 Optimal structure diagram obtained with US-NNM model

图8 US-NNM模型和基础NNM模型下的费用下降曲线

Fig.8 Cost reduction curves of US-NNM model and basic NNM model

表1 算例1最优结果与文献结果

Table 1 Optimal results of Example 1 and in literatures

	Hot utility/kW	Cold utility/kW	Units	Total area/m²	TAC/(＄·a^-1)	Reduce/%
Ref.[11]	23 900	31 620	14	18 132	2 920 933	0.3
Ref.[14]	23 880	31 600	11	18 449	2 935 831	0.81
Ref.[12]	24 135	31 855	15	17 844	2 918 341	0.21
Ref.[13]	24 396	30 120	15	17 760	2 917 682	0.19
本文	24 207	31 927	16	17 658	2 912 082

图9 US-NNM模型下10SP算例最优结构图

Fig.9 Optimal structure diagram of 10SP under US-NNM model

表2 算例2最优结果与文献结果

Table 2 Optimal results of Example 2 and in literatures

	Hot utility/kW	Cold utility/kW	Units	Total area/m²	TAC/(＄·a^-1)	Reduce/%
Ref.[12]	20 389	14 784	19	55 449	5 587 625	0.038
Ref.[5]	20 342	14 736.5	21	55 620	5 592 478	0.124
Ref.[16]	20 403	14 797	21	55 741	5 606 692	0.378
Ref.[17]	20 371	14 764	22	55 516	5 589 493	0.071
Ref.[18]	20 472	14 865	21	55 270	5 586 365	0.015
本文	20 299	14 693	29	55 587	5 585 517

图10 US-NNM模型下15SP算例最优结构图

Fig.10 Optimal structure diagram of 15SP under US-NNM model

表3 算例3最优结果与文献结果

Table 3 Optimal results of Example 3 and in literatures

	Hot utility/kW	Cold utility/kW	Units	Total area/m²	TAC/(＄·a^-1)	Reduce/%
Ref.[19]	43 280	61 150	29	14 069	5 613 283	8.92
Ref.[20]	28 134	46 005	24	22 622	5 219 119	2.05
Ref.[21]	26 500	44 311	25	24 128	5 116 806	0.09
本文	26 500	44 311.5	24	24 280	5 112 351

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