Optimal design of heat integrated water allocation networks combining mathematical programming with graphical tools

doi:10.11949/0438-1157.20200559

Abstract

Abstract:

The mathematical programming method and the graphic method are combined to explore the heat integrated water allocation networks. First, a mixed integer non-linear programming model (MINLP) was constructed to optimize the combined curve area of the separation system in the case of unknown stream parameters under minimum utility consumption, and the most energy-efficient water network structure with the minimum heat exchange area was obtained. Then, design heuristics are proposed for the composite curve of the new separation system. The heat exchanger network structure with a small number of heat exchange units can be obtained. The calculation example shows that compared with the existing design method of heat integrated water network based on separation system, it can further reduce the number of heat exchangers and the total heat exchange area while minimizing the amount of public works.

Key words: water network, energy integration, mixed-integer nonlinear programming model, composite curve, heat exchanger network design

摘要：

将数学规划法与图形方法相结合探究单杂质用水网络与换热网络的集成问题。首先构建混合整数非线性规划模型（MINLP），在最小公用工程消耗下优化流股参数未知情况下的分离系统组合曲线面积，得到了最为节能、换热面积最小的用水网络结构。在此基础上，提出了新的分离系统组合曲线演化步骤和规则，可以得到换热单元数目较小的换热网络结构。算例表明，与现有的基于分离系统的热集成用水网络设计方法相比，在最小化公用工程用量的同时可以进一步降低换热器数目与总换热面积。

关键词: 用水网络, 能量集成, 混合整数非线性规划, 组合曲线, 换热网络设计

CLC Number:

TQ 021.8

PENG Xiaoyi, DONG Xuan, LIAO Zuwei, YANG Yao, SUN Jingyuan, JIANG Binbo, WANG Jingdai, YANG Yongrong. Optimal design of heat integrated water allocation networks combining mathematical programming with graphical tools[J]. CIESC Journal, 2021, 72(2): 1047-1058.

彭肖祎, 董轩, 廖祖维, 杨遥, 孙婧元, 蒋斌波, 王靖岱, 阳永荣. 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.

Figures/Tables 12

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图	换热量/kW					换热面积/m²
图	Q₁	Q₂	Q₃	H	换热量总和	S₁	S₂	S₃	S_H	换热面积总和
图6(e)	3569.9	7097.8	7560	3780	22007.7	524.6	1419.6	1512	269.6	3725.8
图6(f)	3570	630.4	14027.4	3780	22007.7	524.6	120.7	3221.1	269.6	4136

图	换热量/kW					换热面积/m²
图	Q₁	Q₂	Q₃	H	换热量总和	S₁	S₂	S₃	S_H	换热面积总和
图6(e)	3569.9	7097.8	7560	3780	22007.7	524.6	1419.6	1512	269.6	3725.8
图6(f)	3570	630.4	14027.4	3780	22007.7	524.6	120.7	3221.1	269.6	4136

文献	新鲜水用量/( kg/s)	换热器个数	公用工程用量/ kW	换热量/kW	总换热面积/ m²
[43]	90	4	3780	22008.0	3915.2
[35]	90	4	3780	22260.0	3775.4
本文[图6(e)]	90	4	3780	22007.7	3725.8

文献	新鲜水用量/( kg/s)	换热器个数	公用工程用量/ kW	换热量/kW	总换热面积/ m²
[43]	90	4	3780	22008.0	3915.2
[35]	90	4	3780	22260.0	3775.4
本文[图6(e)]	90	4	3780	22007.7	3725.8

换热匹配个数	换热单元个数	总换热面积/m²	总换热量/kW
1	2	6024.6	22007.7
2	3	4420.0	22007.7
3	4	3725.8	22007.7
4	5	3596.3	22007.7