基于节点非结构模型的换热网络结构多样性分析及改进优化策略

doi:10.19596/j.cnki.1001-246x.8276

摘要/Abstract

摘要：

强制进化随机游走算法优化换热网络过程中会出现个体结构相似现象，导致种群结构多样性下降，算法全局搜索能力不足，难以进一步优化换热网络结构。针对基于节点非结构模型的换热网络结构相似现象展开研究，制定两个评价指标衡量优化过程中个体结构相似水平，发现个体结构内相似换热单元数逐步增加，而相似换热单元的热负荷差距逐步减小，个体结构相似水平越来越高。基于此，以提升种群多样性为指导，提出换热单元排斥性进化策略，通过增大相似换热单元的热负荷差距，激励相似换热单元的差异性进化，从而改变结构进化方向，降低相似结构规模。最后应用20SP和15SP两个算例验证该策略的有效性，结构年综合费用与文献最优结果相比分别下降了12 105＄·a^-1和52 535＄·a^-1，说明该策略可以有效提升算法全局搜索能力。

关键词: 换热网络, 种群多样性, 排斥性进化, 强制进化随机游走算法

Abstract:

In optimizing heat exchanger networks by random walk algorithm with compulsive evolution (RWCE), individual structures become similar, which leads to a decline in population diversity and algorithmic global search capability. It becames difficult to optimize the structure of heat exchanger networks further. To explore similarity of individual structures, two evaluation indexes were established to measure similarity level of individual structures.It was found that the number of similar heat units in individual structure increases gradually and the difference of heat load between similar heat units decreases during the optimization process which resulting the evolution of individual structures in the same direction. Therefore, taking the improvement of population diversity as guiding direction, a repulsive-evolution strategy for heat units was proposed. It changes the direction of structure evolution and reduces the scale of similar structure through increasing the heat load gap of similar heat exchange units and promoting differential evolution of similar heat exchange units.Finally, 20SP and 15SP were used to verify effectiveness of the strategy. Total annual cost of the structure saved 12 105 ＄·a^-1 and 52 535 ＄·a^-1, respectively, compared with the optimal result in literature, which indicating that the strategy enhances the algorithmic global search capability effectively.

Key words: heat exchanger networks, population diversity, repulsive evolution, random walk algorithm with compulsive evolution

中图分类号:

TK124

韩正恒, 崔国民, 章伟杰, 赵倩倩, 肖媛, 张冠华. 基于节点非结构模型的换热网络结构多样性分析及改进优化策略[J]. 计算物理, 2021, 38(4): 479-488.

Zhengheng HAN, Guomin CUI, Weijie ZHANG, Qianqian ZHAO, Yuan XIAO, Guanhua ZHANG. Structural Diversity Analysis and Improved Optimization Strategy of Heat Exchanger Networks Based on NW-NSM Model[J]. Chinese Journal of Computational Physics, 2021, 38(4): 479-488.

图/表 10

图1 节点非结构模型示意图

Fig.1 A schematic of NW-NSM model

图2 相似换热单元示意图

Fig.2 Similar heat exchange units

图3 Na及Qa的变化曲线

Fig.3 Na and Qa curves

图4 策略执行流程图

Fig.4 Flow chart of strategy execution

图5 加入策略前后Na及Qa的变化

Fig.5 Na and Qa curves before and after involving strategy

图6 不同ΔIT和ΔLX取值时年综合费用的变化

Fig.6 TAC curves with different ΔIT and ΔLX

图7 1 395 098 ＄ ·a-1对应的换热网络结构

Fig.7 HEN structure with cost of 1 395 098 ＄ ·a-1

表1 算例1结果比较

Table 1 Comparison of optimized results in Case 1

	Unit	Utility cost/(＄·a^-1)	Equipment cost/(＄·a^-1)	TAC/(＄·a^-1)
Ref.[20]	22	457 768	961 213	1 418 981
Ref.[21]	20	456 775	957 032	1 413 807
Ref.[22]	22	457 125	955 861	1 412 986
Ref.[23]	21	458 615	954 186	1 412 801
Ref.[24]	20	457 750	949 453	1 407 203
Fig. 7	21	457 750	937 348	1 395 098

图8 5 117 348 ＄ ·a-1对应的换热网络结构

Fig.8 HEN structure with cost of 5 117 348 ＄ ·a-1

表2 算例2结果比较

Table 2 Comparison of optimized results in Case 2

	Unit	Utility cost/(＄·a^-1)	Equipment cost/(＄·a^-1)	TAC/(＄·a^-1)
Ref.[25]	26	3 464 312	1 768 975	5 233 287
Ref.[26]	26	3 437 670	1 740 115	5 177 785
Ref.[27]	24	3 445 170	1 724 713	5 169 883
Fig. 8	25	3 358 112	1 759 236	5 117 348

参考文献 27

1	LINNHOFF B, HINDMAESH E. The pinch design method for heat exchanger networks[J]. Chemical Engineering Science, 1983, 38 (5): 745- 763. DOI
2	YEE T F, GROSSMANN I E. Simultaneous optimization models forheat integration(Ⅱ): Heat exchanger network synthesis[J]. Computers & Chemical Engineering, 1990, 14 (10): 1165- 1184.
3	MARCELO C. Rigorous multiple utility targeting in heat exchanger networks[J]. Energy Conversion and Management, 2012, 59, 74- 85. DOI
4	MOFID G B, HOSSEIN Y J, KHALILI M. Optimization of heat exchanger network[J]. Applied Thermal Engineering, 2011, 31 (5): 779- 784. DOI
5	MARIA C A, LEANDRO V P, PAULO H S, et al. Heat exchanger network synthesis using genetic algorithm and differential evolution[J]. Computers and Chemical Engineering, 2018, 117, 82- 96. DOI
6	QU Y C, CHEN J X, CUI G M. Weighted differential evolution algorithm for heat exchanger network synthesis[J]. Chinese Journal of Computational Physics, 2021, 38 (1): 79- 88.
7	ZHANG H L, CUI G M. Optimal heat exchanger network synthesis based on improved cuckoo search via Lévy flights[J]. Chemical Engineering Research and Design, 2018, 134, 62- 79. DOI
8	GERCIO P S, CAMILA B M, ESDRAS P C, MAURO A S S R. A simultaneous approach for the synthesis of multiperiod heat exchanger network using particle swarm optimization[J]. The Canadian Journal of Chemical Engineering, 2018, 96 (5): 1142- 1155. DOI
9	XIAO Y, CUI G M. A novel random walk algorithm with compulsive evolution for heat exchanger network synthesis[J]. Applied Thermal Engineering, 2017, 115, 1118- 1127. DOI
10	XU Y, KAYANGE H A, CUI G M. A nodes-based non-structural model considering a series structure for heat exchanger network synthesis[J]. Processes, 2020, 8 (6): 695. DOI
11	PAPALEXANDRI K P, PISTIKOPOULOS E N. A multiperiod minlp model for improving the flexibility of heat exchanger networks[J]. Pergamon, 1993, 17, 111- 116. DOI
12	BLACKWELL T M. Particle swarms and population diversity[J]. Soft Computing, 2005, 9 (11): 793- 802. DOI
13	HOJJAT S, SHAHRYAR R, HAMID R T. Micro-differential evolution: Diversity enhancement and a comparative study[J]. Applied Soft Computing, 2017, 52, 812- 833. DOI
14	李帅龙, 崔国民, 肖媛. 换热网络优化中粒子群算法早熟现象的机理分析及改进策略[J]. 能源工程, 2017, (01): 9- 16+23.
15	陈家星, 崔国民, 彭富裕, 朱玉双. 基于种群多样性的改进差分进化算法应用于换热网络优化[J]. 热能动力工程, 2017, 32 (04): 29- 37+136.
16	BAO Z K, CUI G M, XIAO Y, et al. Global optimization of heat exchanger network based on structure diversity evaluation[J]. Chinese Journal of Computational Physics, 2019, 36 (2): 225- 235.
17	XIAO Y, KAYANGEH A, CUI G M. Heat integration of energy system using an integrated node-wise non-structural model with uniform distribution strategy[J]. International Journal of Heat and Mass Transfer, 2020, 152, 1- 15.
18	ZAMORA J M, GROSSMANN I E. A global MINLP optimization algorithm for the synthesis of heat exchanger networks with no stream splits[J]. Computer & Chemical Engineering, 1998, 22 (3): 367- 384.
19	LEANDRO V P, CALIANE B B C, MAURO A S S R. Automated heat exchanger network synthesis by using hybrid natural algorithms and parallel processing[J]. Computers and Chemical Engineering, 2016, 94, 370- 386. DOI
20	ZHANG H L, CUI G M. Optimal heat exchanger network synthesis based on improved cuckoo search via Lévy flights[J]. Chemical Engineering Research and Design, 2018, 134, 62- 79. DOI
21	SU G M, GUI G M, BAO Z K, et al. Analysis and treatment on structures with temperature cross in heat exchanger network[J]. Chinese Journal of Computational Physics, 2020, 37 (01): 107- 118.
22	韩正恒, 崔国民, 肖媛. 采用结构融合策略优化换热网络[J]. 化工学报, 2019, 70 (12): 4730- 4740.
23	XU Y, CUI G M, DENG W D, et al. Relaxation strategy for heat exchanger network synthesis with fixed capital cost[J]. Applied Thermal Engineering, 2019, 152, 184- 195. DOI
24	MATTHIAS R, GEORG F. A novel hybrid strategy for cost-optimal heat exchanger network synthesis suited for large-scale problems[J]. Applied Thermal Engineering, 2020, 167.
25	曹美, 崔国民, 陈家星, 等. 换热网络非结构模型中交叉结构的分析[J]. 高校化学工程学报, 2019, 33 (04): 911- 921. DOI
26	赵倩倩, 崔国民, 肖媛, 等. 采用阶段更新策略加强结构进化的换热网络优化[J]. 石油化工, 2019, 48 (10): 1040- 1047. DOI
27	赵倩倩, 崔国民, 苏戈曼, 沈昊. 采用新单元换热量生成与分布概率协调策略优化换热网络[J]. 热能动力工程, 2020, (05): 17- 23+63.

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