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Shewhart control charts with a centerline, three WLs, and a single CL were constructed from the historical data set generated (Figure 3) for each potential meter location (i.e., all nodes and pipes). The mean nodal pressures and pipe flow rates vary over time because of the diurnal demand pattern. While the variances of pipe flow rates are relatively constant through the day, the nodal pressures have high uncertainty during peak demand hours, resulting in wider CLs. Low variations in nodal pressure were observed at night and early morning because of the low demand and low variability during these periods. Control and out-of-control measurements were evaluated as per the WEC rules, using the Shewhart control chart for the desired meter location, to construct the false alarm and detection matrices, respectively. The results for a pressure meter installed at node 15 and representing 15 burst events are summarized in Table 1.

Table 1

Detection information using pressure meter at node 15

Burst events
Detection (Yes/No)Detected by rule
Event IDLocation (node ID)Burst time index*Detection time indexTime to detect (h)Emitter coefficientBurst flow rate (lps)
89 307 314 0.6 29 16.6 Yes 
77 345   4.0 No  
26 522   13 6.5 No  
22 504 910 33.8 15 7.5 Yes 
35 56 57 0.1 41 22.2 Yes 
76 291 313 1.8 27 14.4 Yes 
108 378 540 13.5 32 18.3 Yes 
99 444 848 33.7 5.2 Yes 
48 92   13 7.3 No  
10 59 92 281 15.8 29 15.5 Yes 
11 94 516 563 3.9 48 27.4 Yes 
12 320 330 0.8 45 20.1 Yes 
13 58 586 44.0 23 10.3 Yes 
14 34 316 320 0.3 38 20.5 Yes 
15 61 406   10 5.3 No  
Burst events
Detection (Yes/No)Detected by rule
Event IDLocation (node ID)Burst time index*Detection time indexTime to detect (h)Emitter coefficientBurst flow rate (lps)
89 307 314 0.6 29 16.6 Yes 
77 345   4.0 No  
26 522   13 6.5 No  
22 504 910 33.8 15 7.5 Yes 
35 56 57 0.1 41 22.2 Yes 
76 291 313 1.8 27 14.4 Yes 
108 378 540 13.5 32 18.3 Yes 
99 444 848 33.7 5.2 Yes 
48 92   13 7.3 No  
10 59 92 281 15.8 29 15.5 Yes 
11 94 516 563 3.9 48 27.4 Yes 
12 320 330 0.8 45 20.1 Yes 
13 58 586 44.0 23 10.3 Yes 
14 34 316 320 0.3 38 20.5 Yes 
15 61 406   10 5.3 No  

*Burst time index refers to the index of time, starting from a value of 0 at midnight and increasing by 1 every 5 min.

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