基于超结构法的热集成间接式功交换网络综合

doi:10.11949/0438-1157.20190888

摘要/Abstract

摘要：

换热网络综合的研究和应用对于提高能源利用率已被证明是有效的，而用于回收更高品质能量的功交换网络综合的研究仍处于起步阶段。针对间接式功交换网络综合中复杂推动力约束对流股匹配的制约问题，构建了一种考虑级间热集成的拓展超结构，基于线性拟合压缩机和涡轮机的操作曲线，提出了功源与功阱间流股匹配的识别方法；针对压力、流量与温度的高度非凸非线性关系，提出了采用热集成优化每一级入口温度的松弛策略，建立了以年度总费用最小为目标的混合整数非线性规划模型，通过GAMS求解得到最优的间接式功交换网络结构。最后通过一个算例分析，验证所提方法的有效性和可行性。

关键词: 间接式功交换网络, 超结构, 热集成, 流股匹配, 混合整数非线性规划, 优化, 系统工程, 模型

Abstract:

The comprehensive research and application of heat exchanger networks has been proven to be effective in improving energy efficiency, and the comprehensive research on power exchange networks for recovering higher quality energy is still in its infancy. To solve the problem of stream matching limited by complex driving force constraints in indirect work exchange network synthesis, an extended superstructure considering inter-stage heat integration is established in this paper. Based on the linear fitting operation curves of compressors and turbines, an identification method is proposed for searching feasible stream matches between work sources and sinks. Specific to the highly non-convex and non-linear relationship among pressure, flowrate and temperature, a relaxation strategy is proposed to optimize the inlet temperature of each stage by heat integration, and a mixed-integer nonlinear programming model is established with the objective of minimizing the total annual cost (TAC) model is solved using GAMS and the optimal indirect work exchange network structure is obtained. Finally, an example is given to verify the validity and feasibility of the proposed method.

Key words: indirect power exchange network, superstructure, heat integration, stream matching, mixed-integer nonlinear programming, optimization, systems engineering, model

中图分类号:

TQ 021.8

杨蕊, 庄钰, 邸楠茜, 都健. 基于超结构法的热集成间接式功交换网络综合[J]. 化工学报, 2019, 70(12): 4689-4697.

Rui YANG, Yu ZHUANG, Nanxi DI, Jian DU. Synthesis of heat integrated with indirect power exchange networks based on superstructure model[J]. CIESC Journal, 2019, 70(12): 4689-4697.

图/表 6

图1 考虑级间热集成的间接式功交换网络超结构

Fig.1 Indirect work exchange network superstructure considering inter-stage heat integration

图2 超结构每一级高、低压流股分流示意图

Fig.2 Stream splits for a high-pressure (HP) and a low-pressure (LP) stream in each stage of the superstructure

表1 流股基本参数

Table 1 Streams properties for the case

流股	流量F/(kg·s^-1)	入口温度T ⁱⁿ/K	出口温度T ^out/K	入口压力P ⁱⁿ /kPa	出口压力P ^out /kPa	热容C_p /(kJ·(kg·K)^-1)	最高温度/K	最低温度/K
HP1	12	410	600	900	100	2.454	700	273
HP2	18	355	500	850	150	0.982	700	273
LP1	15	600	350	100	700	1.432	700	273
LP2	18	600	360	100	900	2.454	700	273

表2 各单元设备成本参数

Table 2 Cost parameters for the case

设备单元	固定设备投资×10^-3/ (USD·a^-1)	可变设备投资×10^-3/(USD·a^-1)	操作费用/(USD·(kW·h)^-1)
膨胀阀	2	1	—
公用工程涡轮机	200	1	0.10
公用工程压缩机	250	1	0.12
SSTC涡轮机	40	1	—
SSTC压缩机	50	1	—

图3 最优的热集成间接式功交换网络结构

Fig.3 Optimal indirect work exchange network configuration with heat integration

表3 两种网络结构各项结果对比

Table 3 Solution comparison of two different configurations

来源	W _SSTC/kW	WE /kW	WC /kW	TAC×10^-3/(USD·a^-1)
本文	3052.4	7907.3	17884.2	13652.8
文献[14]	7770	13832	2987	14405

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