一种采用优势个体多方向强制搜索策略的换热网络优化方法

doi:10.19596/j.cnki.1001-246x.8354

摘要/Abstract

摘要：

提出一种采用优势个体多方向强制搜索策略的进化算法, 通过考察种群中个体差异性指标, 用以评价当前种群全局搜索的健康度。当优化结果出现长期停滞, 即健康度指标变差时, 启动优势个体多方向强制搜索策略, 扩大优势个体在靠近局部最优解区域的搜索方向, 保证算法全过程的全局搜索能力。用15SP和20SP算例进行验证, 与文献中最优结果相比, 分别下降了1.09%、0.83%, 表明优势个体多方向强制搜索策略充分发挥了优势个体的进化潜力, 提高了算法的优化效能。

关键词: 换热网络, 种群多样性, 多方向强制搜索策略, 个体差异性

Abstract:

An evolutionary algorithm of multi-directional compulsive search strategy for dominant individuals is proposed to evaluate the health of global search of current population by examining individual difference index.When the optimization results stagnate for a long time, the health index becomes worse and the multi-direction forced search strategy of the dominant individual is started to expand the search direction of the dominant individual near the local optimal solution region, so as to ensure the global search ability of the algorithm.The strategy was applied to 15SP and 20SP calculation examples and results were compared with optimal results in the literature.They are decreased by 1.09% and 0.83%, respectively.It in dicates that the dominant individual multi-directional compulsive search strategy exerts fully the evolutionary potential of the dominant individual and improves the optimization efficiency of the algorithm.

Key words: heat exchanger network, population diversity, multi-directional compulsive search strategy, individual differences

刘薇薇, 崔国民, 肖媛, 徐玥, 赵倩倩, 张冠华. 一种采用优势个体多方向强制搜索策略的换热网络优化方法[J]. 计算物理, 2022, 39(1): 60-70.

Weiwei LIU, Guomin CUI, Yuan XIAO, Yue XU, Qianqian ZHAO, Guanhua ZHANG. A Heat Exchanger Network Optimization Method with Dominant Individual Multi-directional Compulsive Search Strategy[J]. Chinese Journal of Computational Physics, 2022, 39(1): 60-70.

图/表 14

参考文献 26

1	YERRAMSETTY K M , MURTY C V S . Synthesis of cost-optimal heat exchanger networks using differential evolution[J]. Computers & Chemical Engineering, 2008, 32 (8): 1861- 1876.
2	曹政才, 乔非, 吴启迪. Petri网技术在半导体生产线建模中的应用[J]. 同济大学学报(自然科学版), 2008, 36 (12): 1707- 1711. DOI
3	CLAUDIA A M , VITOR P L , HENRIQUE S P , et al. Heat exchanger network synthesis using genetic algorithm and differential evolution[J]. Computers & Chemical Engineering, 2018, 117 (6): 82- 96.
4	GERCIO P S , CAMILA B M , ESDRAS P C , et al. 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
5	CLAUDIA A M , PAVO L V , RAVAGNANI M A S S . Heat exchanger network synthesis combining simulated annealing and differential evolution[J]. Energy, 2019, 181 (5): 654- 664.
6	PATEL J L , RANA P B , LALWANI D I . Optimization of five stage cantilever beam design and three stage heat exchanger design using amended differential evolution algorithm[J]. Materials Today: Proceedings, 2020, 26 (2): 1977- 1981.
7	肖媛, 崔国民, 李帅龙. 一种新的用于换热网络全局优化的强制进化随机游走算法[J]. 化工学报, 2016, 67 (12): 5140- 5147.
8	喻飞, 吴瑞峰, 魏波, 等. 多精英采样与个体差分学习的分布估计算法[J]. 系统仿真学报, 2020, 32 (3): 382- 393.
9	LI J , CUI G , CHEN J , XIAO Y . Simultaneous synthesis of heat exchanger network by random walk algorithm with compulsive evolution based on trilevel protection strategy[J]. Chinese Journal of Computational Physics, 2019, 36 (1): 69- 79.
10	李帅龙, 崔国民, 肖媛. 一种多子群协进化的粒子群算法同步综合换热网络[J]. 热能动力工程, 2017, 32 (4): 20- 28. 20-28, 136
11	鲍中凯, 崔国民, 陈家星. 一种应用于换热网络综合的伴随优化策略[J]. 热能动力工程, 2019, 34 (4): 29- 39.
12	XIAO Y , KAYANGE H A , CUI G . 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: 119497. DOI
13	TRIVEDI K K , O'NEILL B K , ROACH J R , et al. A new dual-temperature design method for the synthesis of heat exchanger networks[J]. Computers & Chemical Engineering, 1989, 13 (6): 667- 685.
14	于盛男, 崔国民, 孙妍, 等. 应用于换热网络的RWCE算法参数匹配研究与策略[J]. 工程热物理学报, 2018, 39 (2): 404- 411.
15	REV E , FONYO Z . Diverse pinch concept for heat exchange network synthesis: The case of different heat transfer conditions[J]. Chemical Engineering Science, 1991, 46 (7): 1623- 1634. DOI
16	谢启明, 杨东华. 工业规模换热网络的计算机自动合成-双最小换热温差法[J]. 石油化工, 1994, (3): 159- 165.
17	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 (4): 911- 921. DOI
18	赵倩倩, 崔国民, 苏戈曼, 等. 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, 35 (5): 17- 23. 17-23, 63
19	ESCOBAR M , TRIERWEILER J O . Optimal heat exchanger network synthesis: A case study comparison[J]. Applied Thermal Engineering, 2013, 51 (10): 801- 826.
20	PAVO L V , COSTA C B B , RAVAGNANI M A S S . Automated heat exchanger network synthesis by using hybrid natural algorithms and parallel processing[J]. Computers & Chemical Engineering, 2016, 94 (8): 370- 386.
21	BAO Z , CUI G , CHEN J , et al. A novel random walk algorithm with compulsive evolution combined with an optimum-protection strategy for heat exchanger network synthesis[J]. Energy, 2018, 152 (3): 694- 708.
22	XIAO Y , CUI G , SUN T , et al. An integrated random walk algorithm with compulsive evolution and fine-search strategy for heat exchanger network synthesis[J]. Applied Thermal Engineering, 2017, 128 (9): 861- 876.
23	BAO Z , CUI G , CAO C , et al. Heat exchanger network optimization based on inner utility placement strategy[J]. Chinese Journal of Computational Physics, 2019, 36 (6): 707- 718.
24	SU G , GUI G , BAO Z , et al. Analysis and treatment on structures with temperature cross in heat exchanger network[J]. Chinese Journal of Computational Physics, 2020, 37 (1): 107- 118.
25	XU Y , CUI G , DENG W , XIAO Y , et al. Relaxation strategy for heat exchanger network synthesis with fixed capital cost[J]. Applied Thermal Engineering, 2019, 152 (2): 184- 195.
26	RATHJENS M , FIEG G . A novel hybrid strategy for cost-optimal heat exchanger network synthesis suited for large-scale problems[J]. Applied Thermal Engineering, 2020, 167: 1- 19.

流股	进口温度/℃	出口温度/℃	热容流率/(kW·℃^-1)	换热系数/(kW·m^-2·℃^-1)
H1	217.0	150.0	148.42	0.5
H2	97.0	50.0	27.32	0.5
H3	135.0	50.0	111.25	0.5
H4	155.0	50.0	79.01	0.5
H5	180.0	50.0	42.92	0.5
H6	210.0	50.0	21.66	0.5
H7	155.5	154.5	28 500	0.5
H8	97.5	96.5	45 900.00	0.5
H9	97.5	96.5	11 800.00	0.5
H10	120.0	50.5	117.86	0.5
C1	40.0	65.5	280.80	0.5
C2	65.0	150.0	716.33	0.5
C3	149.5	150.5	12 700.00	0.5
C4	164.5	165.5	20 500.00	0.5
C5	30.0	100.0	107.11	0.5
HU	250.0	249.0		0.5
CU	15.0	30.0		0.5

流股	进口温度/℃	出口温度/℃	热容流率/(kW·℃^-1)	换热系数/(kW·m^-2·℃^-1)
H1	217.0	150.0	148.42	0.5
H2	97.0	50.0	27.32	0.5
H3	135.0	50.0	111.25	0.5
H4	155.0	50.0	79.01	0.5
H5	180.0	50.0	42.92	0.5
H6	210.0	50.0	21.66	0.5
H7	155.5	154.5	28 500	0.5
H8	97.5	96.5	45 900.00	0.5
H9	97.5	96.5	11 800.00	0.5
H10	120.0	50.5	117.86	0.5
C1	40.0	65.5	280.80	0.5
C2	65.0	150.0	716.33	0.5
C3	149.5	150.5	12 700.00	0.5
C4	164.5	165.5	20 500.00	0.5
C5	30.0	100.0	107.11	0.5
HU	250.0	249.0		0.5
CU	15.0	30.0		0.5

	换热单元数	热公用工程负荷/MW	冷公用工程负荷/MW	年综合费用/(＄·a^-1)
max	29	43.28	61.15	5 613 283^*
max	22	38.23	56.10	5 687 499^*
max	26	27.38	45.25	5 233 287
max	26	27.27	45.06	5 169 883
图 8	25	26.50	44.31	5 113 725

	换热单元数	热公用工程负荷/MW	冷公用工程负荷/MW	年综合费用/(＄·a^-1)
max	29	43.28	61.15	5 613 283^*
max	22	38.23	56.10	5 687 499^*
max	26	27.38	45.25	5 233 287
max	26	27.27	45.06	5 169 883
图 8	25	26.50	44.31	5 113 725

流股	进口温度/℃	出口温度/℃	热容流率/(kW·℃^-1)	换热系数/(kW·m^-2·℃^-1)
H1	576	437	23.1	0.06
H2	599	399	15.22	0.06
H3	530	382	15.15	0.06
H4	449	237	14.76	0.06
H5	368	177	10.7	0.06
H6	121	114	149.6	1
H7	202	185	258.2	1
H8	185	113	8.38	1
H9	140	120	59.89	1
H10	69	66	165.79	1
H11	120	68	8.74	1
H12	67	35	7.62	1
H13	1 034.5	576	21.3	0.06
C1	123	343	10.61	0.06
C2	20	156	6.65	1.2
C3	156	157	3 291	2
C4	20	182	26.63	1.2
C5	182	318	31.19	1.2
C6	318	320	4 011.83	2
C7	322	923.78	17.6	0.06
HU	927	927	5
CU	9	17	1