3E Optimization of heat exchanger network system based on non-counterflow heat transfer

doi:10.16085/j.issn.1000-6613.2018-0857

Abstract

Abstract:

Considering the non-counterflow effect on the heat transfer temperature difference, shell number and area of the heat exchanger, the heat exchanger network system involving the non-counterflow heat exchange is optimized. Based on the stage-wise superstructure with non-isothermal mixing and the comprehensive evaluation index of energy, economic and environmental (3E), a multi-objective mixed integer nonlinear programming (MO-MINLP) model for heat exchanger network optimization is established by introducing the correction factor of temperature difference. Systematic solution strategy and method based on non-dominated sorting genetic algorithm (NSGA-II) are proposed. A case study shows that the optimal design results of heat exchanger networks involving non-counterflow heat transfer are very different from those based on pure counterflow heat transfer hypothesis. The optimal solution can not be obtained only by modifying the design results based on pure counterflow heat transfer hypothesis. In order to ensure the optimization, reliability and practicability of the design results, the effect of temperature difference correction must be taken into account in the modeling. 3E evaluation reflects the trade-offs and constraints between energy consumption, economic benefit, and environmental impact of the heat exchanger network system, and makes the design of the system more practical. At the same time, the multi-objective optimization method can not only get the most economical results as the single-objective economic optimization, but also provide a variety of optimization solutions for choice, improve the flexibility of design, and can meet different design needs.

Key words: heat exchanger network, non-counterflow heat transfer, temperature difference correction, multi-objective optimization, non-dominated sorting genetic algorithm (NSGA-Ⅱ)

摘要：

考虑非逆流传热对换热设备传热温差、壳数和面积的影响，对包含非逆流换热设备的热交换网络系统进行优化设计。基于非等温混合分流分级超结构，采用能源、经济和环境（3E）综合评价指标，引入温差修正系数，建立了热交换网络多目标混合整数非线性规划（MO-MINLP）模型，并基于非支配排序遗传算法（NSGA-Ⅱ）提出了系统性的求解策略和求解方法。应用案例研究表明，涉及非逆流传热的热交换网络，其优化设计结果与基于纯逆流换热假设的设计结果有很大区别，且仅对基于纯逆流换热假设的设计结果进行修正并不能得到最优解，必须在建模中考虑温差修正效应的影响，从而保证设计结果的优化性、可靠性和实用性；3E评价反映了热交换网络系统在经济、能耗和环境影响之间的权衡和约束关系，使系统的设计更加实际，同时多目标的优化方法不但可以获得与单目标经济优化相当的最经济的结果，而且提供了多样性的优化解集供选择，提高了设计的灵活性，可以满足不同的设计需求。

关键词: 热交换网络, 非逆流传热, 温差修正, 多目标优化, 非支配排序遗传算法（NSGA-Ⅱ）

CLC Number:

TQ021.8

Ning JIANG, Fengyuan GUO, Wenqiao HAN, Huajing LIU, Lu LIN. 3E Optimization of heat exchanger network system based on non-counterflow heat transfer[J]. Chemical Industry and Engineering Progress, 2019, 38(02): 761-771.

蒋宁, 郭风元, 韩文巧, 刘华菁, 林露. 基于非逆流传热的热交换网络系统的3E优化[J]. 化工进展, 2019, 38(02): 761-771.

Figures/Tables 12

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流股	进口温度 /℃	出口温度 /℃	热容流率 /kW·℃^-1	换热系数 /kW·m^-2·℃^-1	费用 /USD·kW^-1·a^-1
H1	140	40	470	16	—
H2	160	120	825	2	—
H3	210	45	42.42	0.9	—
H4	260	60	100	0.8	—
H5	280	210	357.14	0.4	—
H6	350	170	50	0.1	—
H7	380	160	136.36	0.08	—
C1	270	385	826.09	0.8	—
C2	130	270	500	0.44	—
C3	20	130	363.64	0.08	—
HU	450	310	—	0.1	40
CU	20	25	—	2.3	4

流股	进口温度 /℃	出口温度 /℃	热容流率 /kW·℃^-1	换热系数 /kW·m^-2·℃^-1	费用 /USD·kW^-1·a^-1
H1	140	40	470	16	—
H2	160	120	825	2	—
H3	210	45	42.42	0.9	—
H4	260	60	100	0.8	—
H5	280	210	357.14	0.4	—
H6	350	170	50	0.1	—
H7	380	160	136.36	0.08	—
C1	270	385	826.09	0.8	—
C2	130	270	500	0.44	—
C3	20	130	363.64	0.08	—
HU	450	310	—	0.1	40
CU	20	25	—	2.3	4

目标	方案1	方案2	方案3	方案4
目标	（FT=1）	（仅温差修正）	（FT≠1）	（FT≠1）
总面积/m²	41868	47501	41111	46117
换热设备单元	14	14	15	15
热公用工程/×10⁴kW	9.531	9.531	10.435	9.573
冷公用工程/×10⁴kW	6.131	6.131	7.035	6.173
总公用工程量/×10⁴kW	15.662	15.662	17.470	15.746
总投资费用/×10⁶USD·a^-1	3.370	14.305	3.679	4.165
公用工程费用/×10⁶USD·a^-1	4.058	4.058	4.455	4.076
环境影响量/×10⁸kg·a^-1	2.822	2.822	3.090	2.835
TAC/×10⁶USD·a^-1	7.427	18.363	8.134	8.241

目标	方案1	方案2	方案3	方案4
目标	（FT=1）	（仅温差修正）	（FT≠1）	（FT≠1）
总面积/m²	41868	47501	41111	46117
换热设备单元	14	14	15	15
热公用工程/×10⁴kW	9.531	9.531	10.435	9.573
冷公用工程/×10⁴kW	6.131	6.131	7.035	6.173
总公用工程量/×10⁴kW	15.662	15.662	17.470	15.746
总投资费用/×10⁶USD·a^-1	3.370	14.305	3.679	4.165
公用工程费用/×10⁶USD·a^-1	4.058	4.058	4.455	4.076
环境影响量/×10⁸kg·a^-1	2.822	2.822	3.090	2.835
TAC/×10⁶USD·a^-1	7.427	18.363	8.134	8.241

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