一种新的换热单元竞争强化策略优化换热网络

doi:10.16085/j.issn.1000-6613.2024-0692

摘要/Abstract

摘要：

在优化换热网络综合这一混合整数非线性问题时，作为结构变量的整型变量优化是一大难点。研究换热网络结构优化过程中的障碍，发现前期生成换热单元占据优势地位、单元之间的强耦合关系以及接受差解局限性是优化陷入局部极值的原因。为此，本文提出了换热单元竞争强化策略，通过间隔一定周期在结构中生成竞争换热单元，破坏网络原有稳固结构，然后进行流股换热单元热负荷再分配，来提升竞争单元生存能力和竞争能力，削弱原有结构的优势地位。并通过流股热负荷缺口设置和竞争结构的强制接受强化单元竞争来消去劣势结构，提升结构多样性和搜索域。讨论了竞争单元生成周期、竞争单元数量以及再分配比例对策略作用的影响。通过20sp和10sp算例进行验证，得到了1717757.75USD/a和5586693USD/a的结果，验证了策略的有效性。

关键词: 算法, 优化设计, 过程系统, 换热网络优化, 整型变量, 换热单元竞争

Abstract:

When optimizing the synthesis of heat exchange networks, the optimization of integer variables, which are structural variables, is a major challenge due to the mixed integer nonlinear nature of the problem. It is found that the dominant position of the pre-generated heat exchange units, the strong coupling relationship between the units and the limitation of accepting the difference solution are the reasons for the optimization falling into local extremum. To tackle these issues, a strategy for strengthening the competitiveness of heat exchange units was proposed. This strategy involved generating competitive heat exchange units at specific intervals, disrupting the original stable network structure, and redistributing the heat load of flow heat exchange units to enhance the viability and competitiveness of the competitive units. It diminished the advantageous position of the original structure and reinforces unit competition by imposing heat load gaps and mandating the acceptance of competitive structures. This approach eliminated disadvantaged structures, enriches structural diversity, and broadened the search domains. The influence of the generation cycle of competitive units, the quantity of competitive units, and the reallocation ratio on the strategic role was also examined. Verification using 20sp and 10sp examples produced results of 1717757.75USD/a and 5586693USD/a, respectively, confirming the effectiveness of the proposed strategy.

Key words: algorithm, optimize design, process system, optimization of heat exchange network, integral variables, competition of heat exchange units

中图分类号:

TQ021.8

单灵海, 段欢欢, 郑旭铭, 黄晓璜, 崔国民. 一种新的换热单元竞争强化策略优化换热网络[J]. 化工进展, 2025, 44(6): 3393-3404.

SHAN Linghai, DUAN Huanhuan, ZHENG Xuming, HUANG Xiaohuang, CUI Guomin. A new competitive enhancement strategy for heat exchange units and optimization of heat exchange networks[J]. Chemical Industry and Engineering Progress, 2025, 44(6): 3393-3404.

图/表 14

参考文献 32

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热流股编号	进口温度/℃	出口温度/℃	热容流率/kW·℃^-1	热负荷/kW	冷流股编号	进口温度/℃	出口温度/℃	热容流率/kW·℃^-1	热负荷/kW
H1	180	75	30	3150	C1	40	230	20	3800
H2	280	120	15	2400	C2	120	260	35	4900
H3	180	75	30	3150	C3	40	190	35	5250
H4	140	45	30	2850	C4	50	190	30	4200
H5	220	120	25	2500	C5	50	250	20	4000
H6	180	55	10	1250	C6	40	150	10	1100
H7	170	45	30	3750	C7	40	150	20	2200
H8	180	50	30	3900	C8	120	210	35	3150
H9	280	90	15	2850	C9	40	130	35	3150
H10	180	60	30	3600	C10	60	120	30	1800

热流股编号	进口温度/℃	出口温度/℃	热容流率/kW·℃^-1	热负荷/kW	冷流股编号	进口温度/℃	出口温度/℃	热容流率/kW·℃^-1	热负荷/kW
H1	180	75	30	3150	C1	40	230	20	3800
H2	280	120	15	2400	C2	120	260	35	4900
H3	180	75	30	3150	C3	40	190	35	5250
H4	140	45	30	2850	C4	50	190	30	4200
H5	220	120	25	2500	C5	50	250	20	4000
H6	180	55	10	1250	C6	40	150	10	1100
H7	170	45	30	3750	C7	40	150	20	2200
H8	180	50	30	3900	C8	120	210	35	3150
H9	280	90	15	2850	C9	40	130	35	3150
H10	180	60	30	3600	C10	60	120	30	1800

迭代步数	换热单元数	换热单元换热量/KW
迭代步数	换热单元数	H1-C4	H4-C8	H9-C5	H2-C6	H4-C9	H4-C9	H10-C10	H3-C8	H2-C9
60	2	374.0	244.6	—	—	—	—	—	—	—
220	2	1817.4	391.2	—	—	—	—	—	—	—
230	3	1836.2	356.3	111.4	—	—	—	—	—	—
250	4	1828.9	387.7	470.4	52.6	—	—	—	—	—
260	5	2018.6	251.9	472.8	111.2	151.0	—	—	—	—
310	5	2450.8	195.8	831.3	560.3	397.1	—	—	—	—
410	6	3033.7	—	1300.3	985.8	1045.1	424.4	352.5	—	—
510	7	3155.3	—	1933.1	1130.9	1360.0	592.3	892.8	131.0	—
560	8	3165.6	—	2171.3	1104.6	1499.5	488.0	966.0	554.3	157.4
860	8	3146.4	—	2860.8	1006.3	1448.5	112.0	1808.2	1136.5	876.4
870	7	3146.4	—	2876.7	1028.4	1650.7	—	1859.4	1190.7	877.2
1000	7	3158.9	—	2878.1	1089.1	1604.9	—	1842.3	1194.6	1177.4

迭代步数	换热单元数	换热单元换热量/KW
迭代步数	换热单元数	H1-C4	H4-C8	H9-C5	H2-C6	H4-C9	H4-C9	H10-C10	H3-C8	H2-C9
60	2	374.0	244.6	—	—	—	—	—	—	—
220	2	1817.4	391.2	—	—	—	—	—	—	—
230	3	1836.2	356.3	111.4	—	—	—	—	—	—
250	4	1828.9	387.7	470.4	52.6	—	—	—	—	—
260	5	2018.6	251.9	472.8	111.2	151.0	—	—	—	—
310	5	2450.8	195.8	831.3	560.3	397.1	—	—	—	—
410	6	3033.7	—	1300.3	985.8	1045.1	424.4	352.5	—	—
510	7	3155.3	—	1933.1	1130.9	1360.0	592.3	892.8	131.0	—
560	8	3165.6	—	2171.3	1104.6	1499.5	488.0	966.0	554.3	157.4
860	8	3146.4	—	2860.8	1006.3	1448.5	112.0	1808.2	1136.5	876.4
870	7	3146.4	—	2876.7	1028.4	1650.7	—	1859.4	1190.7	877.2
1000	7	3158.9	—	2878.1	1089.1	1604.9	—	1842.3	1194.6	1177.4

作者	年份	方法	TAC/USD·a^-1	换热单元数
Luo等^[20]	2009	混合GA	1753271	26
Laukkanen等^[21]	2012	GAMS	1739778	24
Zhang等^[22]	2016	CAS	1731679	23
Pavão等^[23]	2017	SA-PSO	1763488	23
陈鹏和罗娜^[17]	2019	DE	1746852	23
Xu等^[24]	2019	RSFCC-RWCE	1726399	23
Wu等^[18]	2021	CLPSO	1739000	22
Feyli等^[19]	2022	GA	1753270	26
本文	2023	CHEU-RWCE	1717757	24