质量交换网络传质负荷不可行处理及动态调控策略

doi:10.19596/j.cnki.1001-246x.8733

摘要/Abstract

摘要：

本文分析了惩罚函数法处理传质约束对质量交换网络优化带来的消极影响，提出一种传质负荷动态调控策略，采用不同的调控方式处理单元传质约束，即衰减违反传质约束单元的传质负荷或消除单元，以保证结构中的传质单元不违反约束。通过两个质量交换网络算例进行验证，所得结果相比文献最优结果分别下降2 943 ＄·a^-1和1 697 ＄·a^-1，且结构中传质单元数量增加，证明了策略的有效性。

关键词: 质量交换网络, 过程系统集成, 强制进化随机游走算法, 不可行解

Abstract:

In the optimization of mass exchange networks with mass transfer load as the optimization variable, using the penalty function method to deal with infeasible solutions that violate the feasible constraints on mass transfer will limit the generation of mass transfer units, and at the same time bring negative effects on the optimization algorithm's optimization path. In view of this, the negative impact of the penalty function method to deal with mass transfer constraints on optimization is analyzed, based on which a dynamic regulation strategy of mass transfer load is proposed to deal with the units mass transfer constraints by using different regulation methods, attenuating the mass transfer load of the units that violate the mass transfer constraints or eliminating the unit to ensure that the mass transfer units in the structure not violate the constraints. The validation is carried out by two mass exchange network arithmetic examples, and the obtained results demonstrate the effectiveness of the strategy by decreasing 2 943 ＄·a^-1 and 1 697 ＄·a^-1, respectively, compared with the optimal results in the literature, and increasing the number of mass transfer units in the structure.

Key words: mass exchange network, process integration, random walk algorithm with compulsive evolution, infeasible solutions

中图分类号:

TQ021.8

熊思恒, 段欢欢, 崔国民, 肖媛, 易智康. 质量交换网络传质负荷不可行处理及动态调控策略[J]. 计算物理, 2024, 41(4): 535-546.

Siheng XIONG, Huanhuan DUAN, Guomin CUI, Yuan XIAO, Zhikang YI. Mass Exchange Network Mass Transfer Load Infeasibility Treatment and Dynamic Regulation Strategy[J]. Chinese Journal of Computational Physics, 2024, 41(4): 535-546.

图/表 17

图1 有分流节点非结构模型 (a)初始空结构；(b)匹配结构

Fig.1 Schematic of nodes-based non-structural model with streams split (a) initial empty structure; (b) matching structures

图2 RWCE算法流程图

Fig.2 Flow chart of RWCE algorithm optimization

图3 传质单元左右两端传质驱动力的4种情况 (a) Δyleft > 0, Δyright > 0;(b) Δyleft > 0, Δyright < 0; (c) Δyleft < 0, Δyright > 0;(d) Δyleft < 0, Δyright < 0

Fig.3 Four cases of mass transfer driving forces of the mass exchange unit (a) Δyleft > 0, Δyright > 0; (b) Δyleft > 0, Δyright < 0;(c) Δyleft < 0, Δyright > 0;(d) Δyleft < 0, Δyright < 0

表1 算例1的流股数据

Table 1 Stream data of Case 1

流股	最大流量/(kg·s^-1)	入口溶度/(kg·kg^-1)	目标溶度/(kg·kg^-1)	m	b	C^O/(＄·kg^-1)
R1	0.9	0.07	0.000 3
R2	0.1	0.051	0.000 1
S1	2.3	0.000 6	0.031	1.45	0	0.004
S2	∞	0.000 2	0.003 5	0.26	0	0.006

表2 两种差解出现的频次

Table 2 Frequency of occurrence of two difference imperfect solutions

IT/10⁶	C1	C2	N1	N2	N3
1	3 115	11	10 122	630	2 037
2	6 589	31	20 179	1 205	2 873
3	10 087	71	30 109	1 935	4 070
4	13 679	105	40 142	2 456	5 068
5	16 045	158	49 967	3 014	5 794

图4 新生成单元造成违反传质可行约束

Fig.4 Unit generated causes violation of the mass transfer feasibility constraint

图5 图 4结构的个体当前TAC与最优TAC变化图

Fig.5 Iteration of TAC with initial solution of the structure in Fig. 4

图6 连续变量优化造成违反传质可行约束

Fig.6 Continuous variable optimization causes violation of mass transfer feasibility constraints

图7 个体TAC、单元数目和违反约束情况变化曲线

Fig.7 Iteration curves for individual TAC, number of unit and constraint violations

图8 改进后RWCE算法流程图

Fig.8 Flow chart of the improved RWCE algorithm

图9 基础RWCE算法得到的优化结构，TAC=410 369 ＄·a-1

Fig.9 MENS structure obtained using RWCE, TAC=410 369 ＄·a-1

图10 改进RWCE算法得到的优化结构，TAC=406 761 ＄·a-1

Fig.10 MENS structure obtained by improvement of RWCE, TAC=406 761 ＄·a-1

表3 算例1的结果对比

Table 3 Result comparison of Case 1

文献	单元数	总塔板数/块	操作费用/(＄·a^-1)	TAC/(＄·a^-1)
Ref.[23]	5	25	313 292	431 613
Ref.[25]	4	21	326 700	422 293
Ref.[26]	4	24	311 297	420 545
Ref.[12]	4	20	317 986	412 500
Ref.[15]	4	21	314 114	409 704
Fig. 9	5	21	314 777	410 369
Fig. 10	6	20	315 757	406 761

表4 算例2的流股数据

Table 4 Steam data of Case 2

流股	最大流量/(kg·s^-1)	入口溶度/(kg·kg^-1)	目标溶度/(kg·kg^-1)	m	b	C^O/(＄·kg^-1)
R1	2	0.050	0.010
R2	1	0.030	0.006
S1	5	0.005	0.015	2	0	0
S2	3	0.01	0.030	1.53	0	0
S3	∞	0.001 3	0.015	0.71	0.001	0.01

图11 基础RWCE算法得到的优化结构，TAC=337 570 ＄·a-1

Fig.11 MENS structure obtained using RWCE, TAC=337 570 ＄·a-1

图12 改进RWCE算法得到的优化结构，TAC=336 471 ＄·a-1

Fig.12 MENS structure obtained by improvement of RWCE, TAC=336 471 ＄·a-1

表5 算例2的结果对比

Table 5 Result comparison of Case 2

文献	单元数	操作费用/(＄·a^-1)	投资费用/(＄·a^-1)	TAC/(＄·a^-1)
Ref.[27]	7	218 225	127 456	345 681
Ref.[24]	7	217 960	159 320	345 416
Ref.[28]	7	210 446	132 008	342 174
Ref.[23]	6	223 840	115 739	339 579
Ref.[7]	6	219 816	118 352	338 168
Fig. 11	6	223 531	114 039	337 570
Fig. 12	8	198 453	138 018	336 471

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