Step-wise approach to integrate inter-plant hydrogen networks under multi-period operations

doi:10.11949/0438-1157.20210242

Abstract

Abstract:

The integration of inter-plant hydrogen systems is of great significance to rationally configure the network structure and allocate hydrogen resources in chemical industry parks. For the optimal design of hydrogen network in chemical industry park, a three-step approach was proposed to design the inter-plant hydrogen network under multi-period operations. In the proposed method, an optimal design model for the inter-plant hydrogen network under single period operation was solved to obtain the hydrogen utility exchanged under each subperiod. Then, an optimization model for multi-period hydrogen network in a single plant was adopted to optimize the hydrogen network in each plant. Finally, an optimization model for inter-plant hydrogen network under multi-period operations was used to determine the final hydrogen network structure and scheduling scheme of inter-plant hydrogen system. The results showed that the proposed method can be used to effectively solve the integration problems of inter-plant hydrogen network under multi-period operations. A better inter-plant hydrogen network under multi-period operations can be obtained without increasing the complexity of the hydrogen network. In addition, the solving efficiency can be greatly improved.

Key words: hydrogen network, multi-period, multi-plant, integration, optimal design, mathematical programming

摘要：

厂际氢气系统集成对于化工园区合理配置氢气系统和氢气资源具有重要意义。针对化工园区中多厂氢气网络多周期优化设计的问题，提出了一种三步求解策略优化设计多厂氢气网络的多周期优化设计。该方法首先采用厂际氢气网络的单周期优化模型获取各子周期下的氢气公用工程的传输量，然后采用单厂氢气网络的多周期优化设计模型获得各厂内的氢气系统结构，最后采用厂际氢气系统的多周期优化设计模型确定化工园区中厂际氢气系统的网络结构和氢气调度方案。研究表明，所提出的多厂氢气网络多周期优化设计方法可有效解决厂际氢气网络的优化设计问题，该策略在不增加氢气系统结构复杂度的前提下，可以获得较好的经济性，并可提高优化模型求解的计算效率。

关键词: 氢气网络, 多周期, 多厂, 集成, 优化设计, 数学规划

CLC Number:

TQ 021.8

Yinghua JIANG, Rusong HAN, Lixia KANG, Yongzhong LIU. Step-wise approach to integrate inter-plant hydrogen networks under multi-period operations[J]. CIESC Journal, 2021, 72(9): 4816-4829.

蒋迎花, 韩儒松, 康丽霞, 刘永忠. 厂际氢气网络多周期集成的分步优化方法[J]. 化工学报, 2021, 72(9): 4816-4829.

Figures/Tables 11

Fig.1 Integration of an inter-plant hydrogen network under multi-period operation

Fig.2 A schematic diagram of the three-step method to integrate an inter-plant hydrogen network under multi-period operations

Table 1 Flowrate data of inter-plant hydrogen network in each subperiod

Subperiod		1		2		3		4		5		6		7
Time/h		0	1456		2388		3046		4177		5496		7022		8000

Δt_subperiod/h		1456		932		658		1131		1319		1526		978
Plant	S/K	Flowrate/（mol·s^-1）														Purity/% (mol)	Pressure/MPa
A	S1	1115.0		1115.0		1115.0		1115.0		1115.0		1115.0		1115.0		0.95	2.1
	S2	216.0		216.0		216.0		237.6		237.6		224.7		224.7		0.80	2.1
	S3	113.6		113.6		113.6		126.6		126.6		124.4		124.4		0.80	8.3
	S4	144.8		144.8		144.8		109.5		109.5		180.3		180.3		0.75	2.4
	S5	80.8		80.8		80.8		100.1		100.1		67.9		67.9		0.75	2.8
	S6	20.0		20.0		20.0		14.4		14.4		18.3		18.3		0.70	2.4
	S7	31.2		31.2		31.2		36.5		36.5		25.9		25.9		0.65	1.4
	K1	521.0		521.0		521.0		580.4		580.4		570.3		570.3		0.95	13.8
	K2	486.7		486.7		486.7		367.9		367.9		605.6		605.6		0.93	3.4
	K3	246.7		246.7		246.7		305.8		305.8		207.3		207.3		0.90	4.1
	K4	75.8		75.8		75.8		54.4		54.4		69.5		69.5		0.80	3.4
	K5	54.7		54.7		54.7		64.2		64.2		45.4		45.4		0.75	2.1
B	S8	881.5		881.5		881.5		881.5		881.5		881.5		881.5		0.97	7
	S9	312.1		312.1		312.1		312.1		312.1		312.1		312.1		0.95	1.2
	S10	312.1		312.1		312.1		312.1		312.1		312.1		312.1		0.95	1.2
	S11	124.9		124.9		133.6		133.6		133.6		133.6		131.3		0.90	1.4
	S12	536.9		536.9		509.2		509.2		509.2		509.2		589.3		0.92	1.1
	S13	5.4		5.4		7.1		7.1		7.1		7.1		6.1		0.60	1.4
	S14	20.9		20.9		24.0		24.0		24.0		24.0		16.5		0.46	1.6
	S15	13.2		13.2		10.9		10.9		10.9		10.9		17.3		0.71	1.5
	S16	24.8		24.8		30.9		30.9		30.9		30.9		19.2		0.83	1.5
	S17	90.5		90.5		55.4		55.4		55.4		55.4		81.6		0.76	1.2
	S18	61.2		61.2		52.8		52.8		52.8		52.8		69.3		0.65	1.2
	K6	74.4		74.4		98.6		98.6		98.6		98.6		85.0		0.90	7
	K7	47.4		47.4		54.7		54.7		54.7		54.7		37.5		0.87	5
	K8	156.1		156.1		129.0		129.0		129.0		129.0		203.6		0.92	7
	K9	299.7		299.7		372.8		372.8		372.8		372.8		232.1		0.96	7
	K10	287.2		287.2		175.7		175.7		175.7		175.7		259.0		0.98	10
	K11	549.4		549.4		474.5		474.5		474.5		474.5		622.1		0.94	20
C	S19	496.0		496.0		496.0		496.0		496.0		496.0		496.0		0.999	3.5
	S20	437.1		480.8		480.8		480.8		363.0		363.0		363.0		0.92	3.5
	S21	142.3		103.0		103.0		103.0		137.9		137.9		137.9		0.71	2.5
	S22	21.4		27.0		27.0		27.0		31.4		31.4		31.4		0.70	2.5
	K12	292.6		236.0		236.0		236.0		286.3		286.3		286.3		0.93	13.0
	K13	281.3		332.5		332.5		332.5		373.2		373.2		373.2		0.87	8.7
	K14	28.7		34.8		34.8		34.8		29.6		29.6		29.6		0.87	5.0
	K15	34.1		40.6		40.6		40.6		33.8		33.8		33.8		0.85	3.5
	K16	34.3		29.5		29.5		29.5		26.8		26.8		26.8		0.85	3.0

Table 2 Prices of hydrogen utilities in each plant

Hydrogen source	$e$ /（CNY·mol^-1）
S1^[28]	0.0108
S8^[29]	0.0088
S9^[29]	0.0108
S10^[29]	0.0108
S19^[30]	0.015

Table 2 Prices of hydrogen utilities in each plant

Hydrogen source	$e$ /（CNY·mol^-1）
S1^[28]	0.0108
S8^[29]	0.0088
S9^[29]	0.0108
S10^[29]	0.0108
S19^[30]	0.015

Table 3 Hydrogen utility flowrates consumed by each plant in each subperiod

Subperiod	Hydrogen Utilities		Flowrate/（mol·s^-1）
Subperiod	Hydrogen Utilities		Plant A	Plant B	Plant C
1	Plant A	S1	846.6	—	—
1	Plant B	S8	82.6	671.0	127.9
2	Plant A	S1	827.3	—	—
2	Plant B	S8	102.0	671.0	108.6
3	Plant A	S1	739.5	—	—
3	Plant B	S8	189.7	583.3	108.6
4	Plant A	S1	711.2	—	—
4	Plant B	S8	189.7	583.3	108.6
5	Plant A	S1	898.0	—	—
5	Plant B	S8	—	595.2	286.3
6	Plant A	S1	1008.4	—	—
6	Plant B	S8	—	595.2	286.3
7	Plant A	S1	1008.4	—	27.4
7	Plant B	S8	—	631.7	249.8

Fig.3 The structure of inter-plant hydrogen network ( Step 1-2 and Step 1-2-3)

Table 4 Comparison of cost for the inter-plant integration and the individual plant integration

Item	Individual hydrogen network				Inter-plant hydrogen network
Item	A	B	C	Total	Step 1-2	Step 2-3	Step 1-2-3 (This work)
number of matches	15	13	12	40	49	43	49
cost of hydrogen×10^-8/(CNY·a^-1)	2.937	2.234	0.731	5.902	4.965	5.700	4.966
investment cost×10^-8/(CNY·a^-1)	0.377	0.292	0.146	0.815	0.956	0.899	0.999
operation cost×10^-8/(CNY·a^-1)	2.579	1.482	0.756	4.817	4.476	4.637	4.423
total cost×10^-8/(CNY·a^-1)	2.956	1.774	0.901	5.631	5.432	5.536	5.422

Fig.4 The hydrogen network structure obtained by the 2-step method (Step 2-3)

Table 5 Comparison of the integration of inter-plant hydrogen network by different methods

Methods	Operation cost×10^-8/(CNY·a^-1)			Investment cost×10^-8/(CNY·a^-1)			TAC×10^-8/(CNY·a^-1)	Number of matches	Computation time /s
Methods	Hydrogen	Electricity	Fuel revenue	Pipeline	Purifier	Compressor	TAC×10^-8/(CNY·a^-1)	Number of matches	Computation time /s
Step 1-2	4.965	1.126	1.665	0.050	0.355	0.601	5.432	49	25
Step 2-3	5.700	1.079	2.142	0.051	0.287	0.561	5.540	43	56
Step 1-2-3 (this work)	4.966	1.123	1.665	0.055	0.355	0.590	5.422	49	49
Structure-merged method^[20]	4.968	1.113	1.685	0.046	0.393	0.688	5.523	48	11
Structure-fixed method^[20]	4.948	1.120	1.673	0.050	0.393	0.641	5.478	43	36
Simultaneous method^[20]	4.940	1.112	1.623	0.048	0.345	0.581	5.403	51	1529

Table A1 The flowrate transported from hydrogen utilities to hydrogen sinks in the inter-plant hydrogen network（Step 1-2）

Period	Hydrogen utilities		Flowrate/(mol·s^-1)
			Plant A					Plant B				Plant C
			K1	K2	K3	K4	K5	K6	K9	K10	K11	K12	K13
1	Plant A	S1	427.4	131.0	164.5	69.1	54.7
1	Plant B	S8	82.6						66.0	131.6	473.4	127.9
2	Plant A	S1	405.5	133.6	164.5	69.1	54.7
2	Plant B	S8	102.0						66.0	131.6	473.4	71.3	37.2
3	Plant A	S1	306.6	144.6	164.5	69.1	54.7
3	Plant B	S8	190.0					13.6	139.1	26.2	404.4	71.3	37.2
4	Plant A	S1	366.0	26.0	203.9	54.4	58
4	Plant B	S8	190.0					13.6	139.1	26.2	404.4	71.3	37.2
5	Plant A	S1	580.4	7.50	203.9	48.2	58
5	Plant B	S8						13.6	139.1	20.1	422.4	127.9	158.4
6	Plant A	S1	570.3	145.5	201.1	69.5	21.1
6	Plant B	S8						13.6	139.1	20.1	422.4	127.9	158.4
7	Plant A	S1	570.3	145.5	201.1	69.5	21.1						27.4
7	Plant B	S8								103.4	528.5	127.9	121.9

Table A2 The flowrate transported from hydrogen utilities to hydrogen sinks in the inter-plant hydrogen network（Step 1-2-3）

Period	Hydrogen utilities		Flowrate/(mol·s^-1)
			Plant A					Plant B				Plant C
			K1	K2	K3	K4	K5	K6	K9	K10	K11	K12	K13
1	Plant A	S1	427.4	131.0	164.5	69.1	54.7
1	Plant B	S8	82.6						66.0	131.6	473.4	127.9
2	Plant A	S1	368.2	133.6	164.5	69.1	54.7						37.2
2	Plant B	S8	139.2						66.0	131.6	473.4	71.3
3	Plant A	S1	306.6	144.6	164.5	69.1	54.7
3	Plant B	S8	190.0					13.6	139.1	26.2	404.4	71.3	37.2
4	Plant A	S1	366.0	26.0	203.9	54.4	58
4	Plant B	S8	190.0					13.6	139.1	26.2	404.4	71.3	37.2
5	Plant A	S1	459.3	7.50	203.9	48.2	58						121.1
5	Plant B	S8	121.1					13.6	139.1	20.1	422.4	127.9	37.2
6	Plant A	S1	449.2	145.5	201.1	69.5	21.1						121.1
6	Plant B	S8	121.1					13.6	139.1	20.1	422.4	127.9	37.2
7	Plant A	S1	476.6	145.5	201.1	69.5	21.1						121.1
7	Plant B	S8	93.7							103.4	528.5	127.9	28.2

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