考虑贫流股旁路的热-质交换网络同步优化

doi:10.11949/0438-1157.20240580

摘要/Abstract

摘要：

热-质交换网络是系统工程中的重要领域，对质量交换子网络中贫流股进行处理可以有效回收传质过程中的多余热量，实现高效传质传热。目前的同步优化模型没有考虑到贫流股旁路对热-质交换网络的结构和年度综合费用的影响。因此，通过对质量交换子网络和热交换子网络的耦合关系分析，提出了基于旁路变换的内部贫流股间歇性换热策略来改进节点非结构模型。一方面，将具有单一换热性质的贫流股切割为多重换热流股，从而使热-质交换网络优化具有更丰富的结构；另一方面，贫流股旁路位置的不同也会影响优化效果。此外，由于该数学模型的求解域宽，直接求解的计算难度大，所以强制进化随机游走算法被用以求解该模型，其接受差解机制保证了全局搜索能力。采用所提出的同步优化方法对热-质交换网络算例进行优化，结果表明通过贫流股旁路位置变换获得了新的网络结构，增强了结构多样性；并且通过结构变异带动了年度综合费用的降低。这种方法对于节能减排的进一步推进具有重要意义。

关键词: 系统工程, 模型, 热-质交换网络, 算法, 贫流股旁路

Abstract:

Combined heat-mass exchange network (CHMEN) is an important field in system engineering. Processing the lean stream in the mass exchange subnetwork can effectively recover the excess heat in the mass transfer process and achieve efficient mass and heat transfer. The current simultaneous optimization methods ignore the impact of lean stream bypass on the structure and annual total cost of the CHMEN. Therefore, this paper proposes the intermittent heat exchange strategy based on the lean streams bypass transformation to develop the node-unstructured model, before that the coupling relationship between the mass exchanger sub-network and the heat exchanger sub-network is analyzed. On the one hand, the lean stream with single heat exchange property is divided into some streams to undertake stepwise heat exchange tasks, expanding network structure. On the other hand, the difference of the location of the lean streams bypass will also affect the optimization effect. Moreover, it is difficult to obtain the best solution due to the wide domain of the mathematical model, so random walk with compulsive evolution algorithm is adopted, where accepting bad solutions ensures the global search ability. The simultaneous optimization method proposed in this paper is used for two CHMEN examples. The results show that a new network structure can be found via changing the position of the lean streams bypass, improving the structural diversity. Meanwhile, the annual total cost is reduced through structure variation. This method is of great significance for the further promotion of energy conservation and emission reduction.

Key words: process systems, model, combined heat and mass exchange network, algorithm, lean streams bypass

中图分类号:

TQ 021.8

刘思琪, 易智康, 肖媛, 段欢欢, 崔国民. 考虑贫流股旁路的热-质交换网络同步优化[J]. 化工学报, 2024, 75(12): 4666-4678.

Siqi LIU, Zhikang YI, Yuan XIAO, Huanhuan DUAN, Guomin CUI. Simultaneous optimization of combined heat and mass exchange network synthesis considering lean stream bypass[J]. CIESC Journal, 2024, 75(12): 4666-4678.

图/表 14

图1 质量交换子网络和热交换子网络的耦合原理

Fig.1 The coupling principle of the sub-MEN and the sub-HEN

图2 允许旁路和分流的节点非结构模型

Fig.2 The node-based non-structural model with bypass and splits

图3 热-质交换网络的耦合模式中可能存在的贫流股旁路示意图

Fig.3 The possible lean stream bypass in the coupling mode of the CHMEN

图4 无属性流股上新单元的随机生成操作示意图

Fig.4 The generation operation of new units in the indistinctive streams

表1 算例1的费用数据

Table 1 Cost data of example 1

参数	数值
运行时长/(h/a)	8600
塔板单价/(USD/(stage·a))	4552
塔板效率/%	20
换热器费用/(USD/a)	30000+750A^0.81
年化因子	0.2
S2/(USD/kg)	0.001
热公用工程费用/(USD·kW/a)	120
冷公用工程费用/(USD·kW/a)	30

表2 算例1的贫富流股数据

Table 2 Date of the rich/lean streams of example 1

R _i	G_i /(kg/s)	y_iⁱⁿ	y_i^out	S_j	L_j^up/(kg/s)	x_jⁱⁿ	x_j^out
R₁	104	8.83×10^-4	5.00×10^-6	S₁	40	0.07557	≤0.115
R₂	442	7.00×10^-4	5.00×10^-6	S₂	∞	0.00100	≤0.010

表3 算例1的贫富流股热力学数据

Table 3 Thermal data of the rich/lean streams of example 1

流股	Tⁱⁿ/K	T^out/K	T^lo/K	T^up/K	c_p /(kJ/(kg·K))
R₁	298	298	288	313	1.00
R₂	298	298	288	313	1.00
S₁	348	368	279	368	2.50
S₂	310	—	280	330	2.40
HU	453	452	—	—	—
CU	278	283	—	—	—

表4 算例1的冷热流股数据

Table 4 Data of the hot/cold streams of example 1

流股	FCP/(kW/K)	Tⁱⁿ/K	T^out/K	H/(kW·m²/K)
H₁	10.0	448	318	0.2
H₂	40.0	398	338	0.2
C₁	20.0	293	428	0.2
C₂	15.0	313	385	0.2

图5 基于不同贫流股旁路位置的优化结果

Fig.5 The optimal results based on different positions of the lean streams bypass

图6 没有贫流股旁路时所得到的优化结果

Fig.6 The optimal results without the lean streams bypass

图7 基于不同贫流股旁路位置的年度综合费用变化曲线图

Fig.7 The curves of the annual total cost based on different positions of the lean streams bypass

图8 优化过程中的传质单元个数和换热单元个数变化

Fig.8 The curves of the mass transfer units and the heat transfer units in the optimization process

图9 采用本文优化方法求解算例2所得到的优化结果（TAC-HEN为254891 USD/a，TAC-MEN为59176 USD/a，TAC-HMEN为314067 USD/a）

Fig.9 The optimal result of example 2 using the optimization method in this study (TAC-HEN=254891 USD/a，TAC-MEN=59176 USD/a，TAC-HMEN=314067 USD/a)

图10 文献[10]中算例2的优化结果（年度综合费用为321700 USD/a）

Fig.10 The optimal result of example 2 in Ref. [10] (TAC = 321700 USD/a)

参考文献 28

1	Gatto A. Quantifying management efficiency of energy recovery from waste for the circular economy transition in Europe[J]. Journal of Cleaner Production, 2023, 414: 136948.
2	Inayat A. Current progress of process integration for waste heat recovery in steel and iron industries[J]. Fuel, 2023, 338: 127237.
3	Agustina D. The influencing factors in cleaner production adoption on the aluminium processing industry[J]. Journal of Engineering and Management in Industrial System, 2023, 11(1): 14-25.
4	Isafiade A J, Short M. Review of mass exchanger network synthesis methodologies[J]. Chemical Engineering Transactions, 2019, 76: 49-54.
5	Short M, Isafiade A J. Thirty years of mass exchanger network synthesis—a systematic review[J]. Journal of Cleaner Production, 2021, 304: 127112.
6	Isafiade A, Fraser D. Optimization of combined heat and mass exchanger networks using pinch technology[J]. Asia-Pacific Journal of Chemical Engineering, 2007, 2(6): 554-565.
7	Bagajewicz M J, Manousiouthakis V. Mass/heat-exchange network representation of distillation networks[J]. AIChE Journal, 1992, 38(11): 1769-1800.
8	Bagajewicz M J, Pham R, Manousiouthakis V. On the state space approach to mass/heat exchanger network design[J]. Chemical Engineering Science, 1998, 53(14): 2595-2621.
9	Liu L L, Du J, El-Halwagi M M, et al. A simultaneous synthesis method for combined heat and mass exchange networks[C]//Proceedings of the 11th International Symposium on Process Systems Engineering. Singapore, 2012: 185-189.
10	Liu L L, Du J, El-Halwagi M M, et al. A systematic approach for synthesizing combined mass and heat exchange networks[J]. Computers & Chemical Engineering, 2013, 53: 1-13.
11	陈子禾, 崔国民, 徐玥, 等. 基于控制参数动态协调策略的换热网络优化研究[J]. 工程热物理学报, 2020, 41(4): 957-965.
	Chen Z H, Cui G M, Xu Y, et al. Study of heat exchanger network optimization based on dynamic coordination strategy of control parameters[J]. Journal of Engineering Thermophysics, 2020, 41(4): 957-965.
12	薛东峰, 陈理, 袁一, 等. 质量交换网络综合[J]. 现代化工, 2001, 21(6): 16-19, 21.
	Xue D F, Chen L, Yuan Y, et al. Synthesis of mass exchange network[J]. Modern Chemical Industry, 2001, 21(6): 16-19, 21.
13	Dong H G, Lin C Y, Chang C T. Simultaneous optimization approach for integrated water-allocation and heat-exchange networks[J]. Chemical Engineering Science, 2008, 63(14): 3664-3678.
14	Kamat S, Bandyopadhyay S. Optimization of regeneration temperature for energy integrated water allocation networks[J]. Cleaner Engineering and Technology, 2022, 8: 100490.
15	彭肖祎, 董轩, 廖祖维, 等. 数学规划与图形方法相结合设计热集成用水网络[J]. 化工学报, 2021, 72(2): 1047-1058.
	Peng X Y, Dong X, Liao Z W, et al. Optimal design of heat integrated water allocation networks combining mathematical programming with graphical tools[J]. CIESC Journal, 2021, 72(2): 1047-1058.
16	Boix M, Pibouleau L, Montastruc L, et al. Minimizing water and energy consumptions in water and heat exchange networks[J]. Applied Thermal Engineering, 2012, 36: 442-455.
17	Kim J, Kim J, Kim J, et al. A simultaneous optimization approach for the design of wastewater and heat exchange networks based on cost estimation[J]. Journal of Cleaner Production, 2009, 17(2): 162-171.
18	Drobež R, Pintarič Z N, Pahor B, et al. Simultaneous synthesis of a biogas process and heat exchanger network[J]. Applied Thermal Engineering, 2012, 43: 91-100.
19	Isafiade A J, Fraser D M. Interval based MINLP superstructure synthesis of combined heat and mass exchanger networks[J]. Chemical Engineering Research and Design, 2009, 87(11): 1536-1542.
20	Ghazouani S, Zoughaib A, Le Bourdiec S. An MILP model for simultaneous mass allocation and heat exchange networks design[J]. Chemical Engineering Science, 2017, 158: 411-428.
21	Dong X, Zhang C J, Peng X Y, et al. Simultaneous design of heat integrated water allocation networks considering all possible splitters and mixers[J]. Energy, 2022, 238: 121916.
22	刘薇薇, 崔国民, 张璐, 等. 一种应用于换热网络综合的阻尼优化方法[J]. 化工学报, 2022, 73(5): 2060-2072.
	Liu W W, Cui G M, Zhang L, et al. Damping optimization method for heat exchange network synthesis[J]. CIESC Journal, 2022, 73(5): 2060-2072.
23	Srinivas B K, El-Halwagi M M. Synthesis of combined heat and reactive mass-exchange networks[J]. Chemical Engineering Science, 1994, 49(13): 2059-2074.
24	刘琳琳. 多组分体系质量-热量联合交换网络综合研究[D]. 大连: 大连理工大学, 2013.
	Liu L L. Study on combined mass and heat exchange networks synthesis for multi-component systems[D]. Dalian: Dalian University of Technology, 2013.
25	孙琳, 赵野, 罗雄麟. 基于夹点技术与超结构模型的多程换热网络最优综合[J]. 化工学报, 2014, 65(3): 967-975.
	Sun L, Zhao Y, Luo X L. Synthesis of multi-pass heat exchanger network based on pinch technology and superstructure model[J]. CIESC Journal, 2014, 65(3): 967-975.
26	Liu L L, Du J, Yang F L. Combined mass and heat exchange network synthesis based on stage-wise superstructure model[J]. Chinese Journal of Chemical Engineering, 2015, 23(9): 1502-1508.
27	Zhou Z Q, Cui G M, Xiao Y. A novel node-based non-structural model for mass exchanger network synthesis using a stochastic algorithm[J]. Journal of Cleaner Production, 2022, 376: 134227.
28	Shenoy U V. Heat Exchanger Network Synthesis: Process Optimization by Energy and Resource Analysis[M]. Houston: Gulf Pub., 1995.

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