基于定向协调策略改进换热单元优化的换热网络综合

doi:10.16085/j.issn.1000-6613.2023-1197

化工进展 ›› 2024, Vol. 43 ›› Issue (8): 4342-4353.DOI: 10.16085/j.issn.1000-6613.2023-1197

• 能源加工与技术 • 上一篇

基于定向协调策略改进换热单元优化的换热网络综合

张笑恬¹(), 刘思琪¹, 崔国民¹(), 黄晓璜¹, 段欢欢¹^,², 王金阳³

^1.上海理工大学能源与动力工程学院, 上海市动力工程多相流动与传热重点实验室, 上海 200093
^2.河南牧业经济学院能源与智能工程学院, 河南郑州 450000
^3.张家港海陆热能设备有限公司, 江苏苏州 215600

收稿日期:2023-07-14 修回日期:2023-11-02 出版日期:2024-08-15 发布日期:2024-09-02
通讯作者: 崔国民
作者简介:张笑恬（1998—），女，硕士研究生，研究方向为过程系统优化。E-mail：zxt981226@163.com。
基金资助:
国家自然科学基金(21978171);中国博士后科学基金(2020M671171)

Heat exchanger network synthesis based on directional coordination strategy to improve heat exchange unit optimization

ZHANG Xiaotian¹(), LIU Siqi¹, CUI Guomin¹(), HUANG Xiaohuang¹, DUAN Huanhuan¹^,², WANG Jinyang³

^1.Shanghai Key Laboratory of Multiphase Flow and Heat Transfer for Power Engineering, School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
^2.School of Energy and Intelligent Engineering, Henan University of Animal Husbandry and Economy, Zhengzhou 450000, Henan, China
^3.Zhangjiagang Sea Land Thermal Energy Equipment Limited Company, Suzhou 215600, Jiangsu, China

Received:2023-07-14 Revised:2023-11-02 Online:2024-08-15 Published:2024-09-02
Contact: CUI Guomin

摘要/Abstract

摘要：

针对强制进化随机游走算法优化换热网络时，换热单元过早消去和新生成换热单元难以存活，导致结构固化的问题，本文提出以换热单元数和年综合费用为双重评价指标的定向协调策略。首先，通过智能摄取换热单元数确定目标单元数域和平行种群数量；其次，将不同的目标单元数分配给平行种群；最后，以实际单元数与目标单元数的离散程度为评判标准，设计动态优化路径。该方法旨在避免优化算法在优化过程中因换热单元数限制而陷入局部极值陷阱，使每个平行种群内的个体可以充分搜索和优化目标单元数下的换热网络结构，从而同时兼顾算法的局部搜索能力与全局搜索能力。采用15SP算例和20SP算例进行验证，分别得到1496744USD/a和1396596USD/a的结果，均优于文献所得结果，证明了方法的有效性。

关键词: 过程系统, 换热网络, 换热单元, 算法, 优化, 全局搜索

Abstract:

In order to solve the problem of premature elimination of heat exchange units and the difficulty of survival of newly generated heat exchange units when the heat exchanger network is optimized by RandomWalk Algorithm with Compulsive Evolution, a directional coordination strategy based on the number of heat exchange units and annual comprehensive cost was proposed. Firstly, target unit number threshold and parallel population number were determined by intelligently ingesting number of heat exchanger units. Secondly, different target units number were assigned to parallel populations. Finally, a dynamic optimization path was designed based on the discrete degree between the actual number of units and the target number of units. The purpose of this method was to avoid the optimization algorithm falling into the local extremum trap due to the limitation of the number of heat exchange units in the optimization process, so that individuals in each parallel population could fully search and optimize the structure of the heat exchanger network under the number of target units, and both local search and global search capabilities of the algorithm could be considered. 15SP and 20SP cases were used to verify the results, and the results were 1496744USD/a and 1396596USD/a, respectively. The results were better than those obtained in literature, which proved the effectiveness of the method.

Key words: process systems, heat exchanger network, heat exchange units, algorithm, optimization, global search

中图分类号:

TK124

张笑恬, 刘思琪, 崔国民, 黄晓璜, 段欢欢, 王金阳. 基于定向协调策略改进换热单元优化的换热网络综合[J]. 化工进展, 2024, 43(8): 4342-4353.

ZHANG Xiaotian, LIU Siqi, CUI Guomin, HUANG Xiaohuang, DUAN Huanhuan, WANG Jinyang. Heat exchanger network synthesis based on directional coordination strategy to improve heat exchange unit optimization[J]. Chemical Industry and Engineering Progress, 2024, 43(8): 4342-4353.

图/表 20

图1 有分流节点非结构模型

表1 15SP算例各流股换热潜能

流股	换热潜能/kW	流股	换热潜能/kW
H1	3150	C1	3800
H2	9600	C2	7200
H3	3130	C3	5250
H4	3000	C4	4200
H5	5000	C5	12000
H6	4375	C6	5000
H7	4200	C7	5400
H8	8000

图2 RWCE算法优化15SP算例所得结构（TAC=1519116CNY/a）

图3 最优结构TAC和换热单元数变化曲线

表2 不同ΔLQ 和Qmin得到的换热单元数区间

Q_min/kW	ΔL_Q =100kW	ΔL_Q =200kW	ΔL_Q =300kW
5	(10,18)	(10,14)	(9,14)
15	(9,18)	(9,14)	(9,13)
25	(9,16)	(9,13)	(9,12)

图4 实际换热单元数变化曲线

图5 实际换热单元数优化频率

表3 不同Qmax和γ的优化情况对比

γ	Q_max=150kW			Q_max=250kW
γ	TAC/USD·a^-1	τ₁	τ₂	TAC/USD·a^-1	τ₁	τ₂	TAC/USD·a^-1	τ₁	τ₂
0.2	1541415	0.82	0.012	1544237	0.80	0.011	1544159	0.79	0.010
0.4	1552332	0.78	0.013	1583066	0.76	0.012	1628448	0.73	0.011
0.6	1570982	0.75	0.015	1619761	0.70	0.013	1691717	0.67	0.012

图6 平行种群构建过程

图7 改进算法流程图

图8 算法改进前后对不同换热单元数的结构优化次数

图9 平行种群P3中第3号个体的ΔL和换热单元数变化曲线

图10 15SP算例改进前后TAC曲线对比

图11 算例1改进算法优化所得结构（TAC=1496744USD/a）

图12 算例1改进前后换热单元数对比

表4 算例1最小年综合费用对比

参考文献	换热单元数	热公用工程 /MW	冷公用工程 /MW	年综合费用 /USD·a^-1
Pav $a ˜$ o等^[14]	19	10.24	7.86	1525394^①
Fieg等^[21]	15	10.62	8.24	1510891
孙涛等^[22]	18	10.31	7.93	1506762^①
本文	17	10.43	8.06	1496744^①

表4 算例1最小年综合费用对比

参考文献	换热单元数	热公用工程 /MW	冷公用工程 /MW	年综合费用 /USD·a^-1
Pav $a ˜$ o等^[14]	19	10.24	7.86	1525394^①
Fieg等^[21]	15	10.62	8.24	1510891
孙涛等^[22]	18	10.31	7.93	1506762^①
本文	17	10.43	8.06	1496744^①

表5 算例2最小年综合费用对比

参考文献	换热单元数	热公用工程 /MW	冷公用工程 /kW	年综合费用 /USD·a^-1
Escobar等^[23]	21	1.938	106.93	1537086
Pav $a ˜$ o等^[24]	21	1.938	106.93	1516482^①
Xu等^[25]	21	1.83	36.6	1412801
本文	21	1.83	0	1396596^①

表5 算例2最小年综合费用对比

参考文献	换热单元数	热公用工程 /MW	冷公用工程 /kW	年综合费用 /USD·a^-1
Escobar等^[23]	21	1.938	106.93	1537086
Pav $a ˜$ o等^[24]	21	1.938	106.93	1516482^①
Xu等^[25]	21	1.83	36.6	1412801
本文	21	1.83	0	1396596^①

图13 算例2改进前后TAC和换热单元数对比

图14 算例2改进算法优化所得结构（TAC=1396596USD/a）

图15 算例2RWCE算法优化所得结构（TAC=1428507USD/a）

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基于定向协调策略改进换热单元优化的换热网络综合

Heat exchanger network synthesis based on directional coordination strategy to improve heat exchange unit optimization

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