1. College of Environmental Science and Engineering, Taiyuan University of Technology, Jinzhong 030600, China 2. Innovation Center for Postgraduate Education in Municipal Engineering of Shanxi Province, Jinzhong 030600, China
The local pressure in the pipe network did not meet the minimum service water pressure specified by the pipe network due to closing the boundary valve during the implementation of district metered area (DMA) zoning. In order to solve the problem, the optimal partition boundary pipes (BPs) were obtained by taking the number of BPs and its average flow, pipe diameter and length after the spectral clustering algorithm as the objective function, through the function gamultiobj in MATLAB. A series of different minimum service water pressures were set as constraints. The average water age of the nodes and the zoning cost after the partition were taken as the objective function, and the Pareto optimal solution was obtained by gamultiobj optimization calculation. The optimal layout scheme of the equipment on the BPs was determined according to the solution. The simulated annealing algorithm was used to find the best pipe replacement scheme to make the water pressure of the pipe network meet the requirements. Taking the Modena pipe network with only 0.09 m depressurization space as an example, the water quality of users with large volume flow rate and end users after zoning was improved on the basis of the successful completion of zoning. The proposed method can realize the DMA zoning of the pipe network under the minimum depressurization space, and the normal operation of the pipe network can still be ensured after the partition.
Wen-tao SHI,Hong-yan LI,Jian-guo CUI,Yi-yang MA,Chong ZHANG,Ying-hong DONG. DMA partition method of urban water distribution network under extreme small depressurization space. Journal of ZheJiang University (Engineering Science), 2022, 56(8): 1533-1541.
Fig.1Flow chart for determination of partition boundary pipes
Fig.2Flow chart for optimization of pipe diameter replacement scheme
Fig.3Topology diagram of case pipe network
Fig.4Comparison of related parameters of boundary pipes under three partition schemes
D/mm
gval/（元·个?1）
gvol/（元·台?1）
100
2300
11810
125
2450
13366
150
2700
15958
200
3150
17289
250
3700
20566
300
5000
25359
350
6700
28834
400
7800
31143
Tab.1Prices of valves and volume flow meters
解编号
Hs,min/ m
$ \overline {W}_{\text{a}} $/ h
gc/ 万元
Tm/ 台
np
nin
DMA1
DMA2
DMA3
DMA4
注：*表示该解在最小服务水压约束为17 m时重复出现
原管网
20
0.72
?
?
0
?
?
?
?
s-1
20
0.72
14.15
11
0
3
5
1
2
s-2
20
0.72
13.2
10
0
3
4
1
2
s-3
20
0.83
12.25
9
0
3
3
1
2
s-4
19
0.70
11.29
8
5
3
3
1
1
s-5
19
0.71
11.15
8
20
3
3
1
1
s-6
19
0.81
10.34
7
5
3
2
1
1
s-7
19
0.83
10.20
7
17
3
2
1
1
s-8*
18
0.70
10.34
7
13
3
2
1
1
s-9
18
0.81
9.39
6
13
3
1
1
1
s-10*
18
0.81
8.44
5
14
2
1
1
1
s-11
17
0.70
9.39
6
13
2
2
1
1
s-12
17
0.72
9.25
6
27
2
2
1
1
s-13
17
0.83
8.30
5
25
2
1
1
1
Tab.2Pareto frontiers and other related information under different pressure constraints
Fig.5Trend of simulated annealing algorithm cooling number and optimal value
管段编号
BD
AD
管段编号
BD
AD
16
DN100
DN200
122
DN100
DN200
123
DN125
DN200
145
DN100
DN150
152
DN100
DN125
167
DN100
DN125
204
DN100
DN125
248
DN100
DN125
258
DN100
DN200
271
DN100
DN250
Tab.3Pipes replacement situation
Fig.6Final zoning result map of Modena pipe network
管网状态
$\overline {W}_{\text{a} }$/h
gw/h
Hav/m
Hlow/m
Qloss/(L·s?1)
分区前
0.72
3.76
25.13
20.09
63.8
分区后
0.72
2.02
25.07
20.01
63.7
Tab.4Performance index of pipe network pre and post DMA partition
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