• •
刘思琪1(), 易智康1, 肖媛1, 段欢欢1,2, 崔国民1()
收稿日期:
2024-05-29
修回日期:
2024-06-23
出版日期:
2024-07-11
通讯作者:
崔国民
作者简介:
刘思琪(1996-),女,博士研究生,297277707@qq.com
基金资助:
Siqi LIU1(), Zhikang YI1, Yuan XIAO1, Huanhuan DUAN1,2, Guomin CUI1()
Received:
2024-05-29
Revised:
2024-06-23
Online:
2024-07-11
Contact:
Guomin CUI
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,本文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。采用本文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。
中图分类号:
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, DOI: 10.11949/0438-1157.20240580.
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, DOI: 10.11949/0438-1157.20240580.
项目 | 数值 |
---|---|
运行时长 (h/a) | 8600 |
塔板单价 ($/stage/a) | 4552 |
塔板效率 (%) | 20 |
换热器费用 ($/a) | 30000+750A0.81 |
年化因子 (-) | 0.2 |
S2 ($/kg) | 0.001 |
热公用工程费用 ($·kW/a) | 120 |
冷公用工程费用 ($·kW/a) | 30 |
表 1 算例1的费用数据
Table 1 Cost data of example 1.
项目 | 数值 |
---|---|
运行时长 (h/a) | 8600 |
塔板单价 ($/stage/a) | 4552 |
塔板效率 (%) | 20 |
换热器费用 ($/a) | 30000+750A0.81 |
年化因子 (-) | 0.2 |
S2 ($/kg) | 0.001 |
热公用工程费用 ($·kW/a) | 120 |
冷公用工程费用 ($·kW/a) | 30 |
R i | Gi (kg/s) | yiin | yiout | S j | Ljup (kg/s) | xjin | xjout |
---|---|---|---|---|---|---|---|
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 2 算例1的贫富流股数据
Table 2 Date of the rich/lean streams of example 1.
R i | Gi (kg/s) | yiin | yiout | S j | Ljup (kg/s) | xjin | xjout |
---|---|---|---|---|---|---|---|
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 |
流股 | Tin (K) | Tout (K) | Tlo (K) | Tup (K) | cp (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 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) | Tout (K) | Tlo (K) | Tup (K) | cp (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 | - | - | - |
流股 | FCP (kW/K) | Tin (K) | Tout (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 |
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) | Tout (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 $/a,TAC-MEN为59176 $/a,TAC-HMEN为314067 $/a)
Fig. 9 The optimal result of example 2 using the optimization method in this study (TAC-HEN=254891 $/a,TAC-MEN=59176 $/a,TAC-HMEN=314067 $/a).
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