Heat exchanger network bypass position determination based on complex network control theory

doi:10.16085/j.issn.1000-6613.2018-1927

Abstract

Abstract:

The bypass control of the heat exchanger network is an effective mean to increase degree of freedom and improve system control performance. In order to ensure the effectiveness and economy of the control, based on the complex network theory, combined with the disturbance transmission law of the heat exchanger network in the "downstream path" theory, a directional weighted complex network model of the heat exchanger network was constructed. Then, the heat exchanger network bypass was abstracted into a complex network drive node set, and the controllability and economy were weighed. Two methods for determining the bypass position were given: when the controllability requirement is high, based on the complex network structure controllability theory, a globally controllable bypass position determination method for the heat exchanger network was proposed. The algorithm realized the global controllability of the heat exchanger network by setting a minimum of bypass, and optimized the control performance of the heat exchanger network. When the number of bypasses is limited, based on the complex network target control theory, a method for determining the bypass position of important nodes was proposed to ensure that the important nodes are controllable while reducing the number of bypasses and saving investment costs. Finally, the large crude oil heat exchange network was taken as an example to solve the heat exchanger network bypass position by the global controllable and important node controllable methods.

Key words: heat exchanger network, bypass control, complex network, structure controllability, target control, drive node set

摘要：

换热网络的旁路控制是增加自由度和提升系统控制性能的有效手段。为了保证控制的有效性和经济性，本文基于复杂网络理论，结合“下游路径”理论中换热网络的干扰传递规律，构建出换热网络的有向加权的复杂网络模型，然后把换热网络旁路抽象为复杂网络驱动节点集，权衡可控性与经济性两方面因素，给出两种旁路位置确定方法。在可控性要求较高时，基于复杂网络结构可控性理论，提出了换热网络全局可控的旁路位置确定法，该算法不仅通过设置最少的旁路实现了换热网络的全局可控，还实现了对换热网络控制性能的优化；当旁路数目受限时，基于复杂网络目标控制理论，提出了重要节点可控的旁路位置确定法，在保证其重要节点可控的同时，减少旁路数量从而节省投资费用。最后，以大型原油换热网络为例分别求解全局可控和重要节点可控的换热网络旁路位置，验证了该方法的可行性。

关键词: 换热网络, 旁路控制, 复杂网络, 结构可控性, 目标控制, 驱动节点集

CLC Number:

Yunqing DONG, Zheng WANG, Yifan XU, Yanxia YANG, Xiaoping JIA, Fang WANG. Heat exchanger network bypass position determination based on complex network control theory[J]. Chemical Industry and Engineering Progress, 2019, 38(07): 3046-3055.

董云青, 王政, 徐一凡, 杨燕霞, 贾小平, 王芳. 基于复杂网络控制理论的换热网络旁路位置确定[J]. 化工进展, 2019, 38(07): 3046-3055.

Figures/Tables 12

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起点	终点	起点	终点	起点	终点
E2	E3	E12	E13	E32	E24
E3	E4	E13	E14	E24	E25
E1	E5	E14	E15	E25	E26
E5	E6	E16	E17	E26	E27
E6	E7	E17	E18	E27	E28
E7	E8	E18	E19	E28	E29
E20	E9	E15	E21	E29	E30
E9	E10	E21	E22	E30	E31
E10	E11	E22	E23	E31	E32
E19	E12

起点	终点	起点	终点	起点	终点
E2	E3	E12	E13	E32	E24
E3	E4	E13	E14	E24	E25
E1	E5	E14	E15	E25	E26
E5	E6	E16	E17	E26	E27
E6	E7	E17	E18	E27	E28
E7	E8	E18	E19	E28	E29
E20	E9	E15	E21	E29	E30
E9	E10	E21	E22	E30	E31
E10	E11	E22	E23	E31	E32
E19	E12

节点	入度 NR值	出度 NR值	节点	入度 NR值	出度 NR值	节点	入度 NR值	出度 NR值
E1	0.0059	0.0417	E12	0.0237	0.017	E23	0.026	0.0094
E2	0.0068	0.0147	E13	0.0253	0.016	E24	0.0134	0.0788
E3	0.0102	0.0105	E14	0.0294	0.0148	E25	0.0176	0.0827
E4	0.0167	0.0071	E15	0.0409	0.016	E26	0.0125	0.1002
E5	0.0068	0.0117	E16	0.0059	0.0262	E27	0.0101	0.0737
E6	0.1826	0.0107	E17	0.0117	0.0222	E28	0.0108	0.055
E7	0.1375	0.0096	E18	0.0134	0.0175	E29	0.0111	0.0501
E8	0.193	0.0099	E19	0.021	0.0215	E30	0.0119	0.0469
E9	0.0086	0.0108	E20	0.0059	0.0213	E31	0.0199	0.0457
E10	0.02	0.0092	E21	0.0275	0.0164	E32	0.029	0.1137
E11	0.0274	0.0071	E22	0.0174	0.0121

节点	入度 NR值	出度 NR值	节点	入度 NR值	出度 NR值	节点	入度 NR值	出度 NR值
E1	0.0059	0.0417	E12	0.0237	0.017	E23	0.026	0.0094
E2	0.0068	0.0147	E13	0.0253	0.016	E24	0.0134	0.0788
E3	0.0102	0.0105	E14	0.0294	0.0148	E25	0.0176	0.0827
E4	0.0167	0.0071	E15	0.0409	0.016	E26	0.0125	0.1002
E5	0.0068	0.0117	E16	0.0059	0.0262	E27	0.0101	0.0737
E6	0.1826	0.0107	E17	0.0117	0.0222	E28	0.0108	0.055
E7	0.1375	0.0096	E18	0.0134	0.0175	E29	0.0111	0.0501
E8	0.193	0.0099	E19	0.021	0.0215	E30	0.0119	0.0469
E9	0.0086	0.0108	E20	0.0059	0.0213	E31	0.0199	0.0457
E10	0.02	0.0092	E21	0.0275	0.0164	E32	0.029	0.1137
E11	0.0274	0.0071	E22	0.0174	0.0121

路径	驱动节点
E14→E15→E6→E7→E8	E14
E24→E25→E26→E27→E28→E29→E32	E24