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1 Initial Findings regarding EmNet CSO ID Tool Introduction: This report discusses initial efforts at developing a software tool that searches EmNet’s CSO MySQL database for wet and dry CSO overflow events. The purpose of this report is to inform EmNet of the proposed algorithms, to provide some initial data regarding how well they work, and to present plans for future development of the software tool. The purpose of the software tool under development (CSOIDtool) is to automatically probe EmNET’s MySQL database for potential anomalies in the data. The particular anomalies of concern are Dry CSO events and sensor failures. To achieve this purpose a C++ program was written using Visual Studio 2005. This program connects to the EmNet database, extracts the sensor data for a specified group of sensors over a specified time interval, and then identifies time intervals over which the flow appears to be anomalous. 2.0 Program (CSOIDtool) Description The current program prototype examines data from CSO39 sensors S1 and S3 from mid November 2008 to the end of June 2009. This particular set of sensors monitors a pumping station at CSO39. This system is particularly easy to start with because it has a single input and single output so that overflow events are relatively easy to identify directly by inspecting the data. The geometry for this set of sensors is shown below in figure 1. The CSOIDtool program was written in C++ using Microsoft’s Visual Studio 2005 develop- ment program. The inputs to the program are 1) Set of ”input” sensors, specified by name. In the case of the CSO39 example, the input sensor is G.21.1 S3. 2) Set of ”output” sensors, specified by name. In the case of the CSO39 example, the output sensor is G21.1 S1. 3) An interval of time specified by a start date-time and stop date-time. For the CSO39 example the start date was 2008-11-25 0:0:0 and the stop date was 2009-6-25 0:0:0. July 31, 2009 DRAFT

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1

Initial Findings regarding EmNet CSO ID Tool

Introduction:

This report discusses initial efforts at developing a software tool that searches EmNet’s CSO

MySQL database for wet and dry CSO overflow events. The purpose of this report is to inform

EmNet of the proposed algorithms, to provide some initial data regarding how well they work,

and to present plans for future development of the software tool.

The purpose of the software tool under development (CSOIDtool) is to automatically probe

EmNET’s MySQL database for potential anomalies in the data.The particular anomalies of

concern are Dry CSO events and sensor failures. To achieve this purpose a C++ program was

written using Visual Studio 2005. This program connects to the EmNet database, extracts the

sensor data for a specified group of sensors over a specified time interval, and then identifies

time intervals over which the flow appears to be anomalous.

2.0 Program (CSOIDtool) Description

The current program prototype examines data from CSO39 sensors S1 and S3 from mid

November 2008 to the end of June 2009. This particular set of sensors monitors a pumping

station at CSO39. This system is particularly easy to start with because it has a single input and

single output so that overflow events are relatively easy to identify directly by inspecting the

data. The geometry for this set of sensors is shown below in figure 1.

The CSOIDtool program was written in C++ using Microsoft’s Visual Studio 2005 develop-

ment program. The inputs to the program are

1) Set of ”input” sensors, specified by name. In the case of theCSO39 example, the input

sensor is G.21.1 S3.

2) Set of ”output” sensors, specified by name. In the case of the CSO39 example, the output

sensor isG21.1 S1.

3) An interval of time specified by a start date-time and stop date-time. For the CSO39

example the start date was 2008-11-25 0:0:0 and the stop datewas 2009-6-25 0:0:0.

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Fig. 1. Pumping Station at CSO39

The outputs generated by the program are

1) A listing on the program console summarizing the program’s findings. These findings are

shown in the appendix (console_output.txt). It simply lists the number of events

identified in the output and input sensor histories. Each output event is then classified as

being either a DRY or WET overflow depending upon whether or not the output event

can be correlated to an appropriate input event.

2) Two files (output_meas.txt andinput_meas.txt) which contain a dump of the

raw and processed sensor data from the output and input nodes, respectively.

3) Two files (CSO_resultINx.txt andCSO_resultOUTx.txt) containing a dump of

the identified CSO event’s sensor data for its output and input node’s, respectively. A pair

of files is generated for each CSOevent identified by the program. In the case of this

example (see appendix), 20 CSOevents were identified.

The program CSOIDtool is organized as follows. The program first connects to the EmNET

database. It then queries the database, using the names of the input/output senosrs to obtain the

sensor ID numbers, scale and offset coefficients. The results from this query are then used to

initialize a data structure holding the data characterizing the sensor parameters. The program

uses the specified start and stop dates to query the database for the specified sensor data. When

fetching the raw sensor data, the program automatically uses a syntactical pattern recognition

algorithm (described below) to classify the sensor historyinto intervals of ”WET” and ”DRY”

flows. The resulting ”classified” sensor data is then stored in a data structure. The program then

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correlates the input and output data streams to identify wetand dry CSO overflow events. Each

CSO overflow event is then written to a file. Currently we’re using Matlab to plot the program

outputs.

The first step in identifying CSO events involves identifying intervals in the input/output sensor

data over which the flow is ”DRY” or ”WET”. After some experimentation it was found that the

standard deviation of the raw sensor data, computed over a suitable averaging window provided

a reliable way of identifying WET flows. A ”WET” flow is defined as an interval over which

the water depth measured by the sensor is indicative of a highvolume flow, usually seen during

”WET” weather events.

3.2 3.4 3.6 3.8 4 4.2 4.4 4.6 4.8

x 107

−1

0

1

2

3

4

5Input Depth − raw data − flow classification

3.2 3.4 3.6 3.8 4 4.2 4.4 4.6 4.8

x 107

0

0.5

1

1.5

2

2.5

3Std Dev Input Depth − Sensor Classification

Fig. 2. Classified Input Sensor Stream

Figure 2 plots the data for the input sensor. The top plot shows the ”raw” sensor data (blue)

recovered from the EmNet database. The green points in the plot show the ”classification” of

the input flow. A value of 0 indicates a DRY flow and a value of 1 indicates a WET flow.

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The bottom plot shows the standard deviation of the sensor data averaged over a window of

suitable length. The green points in this plot show the classification of the sensor data. A value

of 0 indicates that the sensor data is NORMAL. A value of 1 indicates that the sensor data is

ANOMALOUS. Such anomalies occur when the variance of the data is too small to suggest

that the sensor is functioning normally. A value of 2 indicates that the sensor data point is an

OUTLIER and should not be used in computing means and variances. OUTLIER’s are identified

as points where the sensor value is below−1.

3.2 3.4 3.6 3.8 4 4.2 4.4 4.6 4.8

x 107

−1

0

1

2

3

4

5Output Depth − raw data − flow classification

3.2 3.4 3.6 3.8 4 4.2 4.4 4.6 4.8

x 107

0

0.5

1

1.5

2

2.5

3Std Dev Output Depth − Sensor Classification

Fig. 3. Classified Output Sensor Streams

Figure 3 plots the data for the output sensor. These plots follow the same format as the plots

in figure 2.

In reviewing the data shown in figures 2 and 3, it became apparent that the standard deviation

(when computed over a suitable window length) provided a good way of identifying potential

WET periods in the sensor data. In our case the window length was chosen to be 150 samples.

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Window lengths less than 150 appeared to introduce a great deal of fluctuation in the computed

averages. Window lengths much longer than 150 results in toomuch smoothing.

3.0 CSOID Algorithms

While visual inspection of the plots clearly shows when the wet flows occur, we must develop

a computer algorithm that ”automates” this classification process. One way of automating this

classification process is to simply choose a threshold, and declare the flow to be wet whenever

the standard deviation of the flow is above this threshold. Ingeneral, however, this approach

identifies ”wet points” in the flow as opposed to ”wet intervals”. In our case, we want to identify

”continuous intervals” (rather than points) over which theflow is ”wet”.

To address this issue, we employed a syntactical approach tointerval recognition. We first

pass the stream of standard deviations through an edge filter. This is, essentially, a filter that

computes a derivative to the slope of the time series over a suitable window. In this case, a

window of length 10 was used to compute the derivative. We then sequentially process the

points in the trace. The current data point being examined will mark the beginning of a wet flow

when the ”derivative” of the trace at that point is greater than a specified positive constant and

the previously processed point is DRY. The next data point will also be declared WET as long as

the standard deviation is above a specified threshold level.That threshold level is chosen based

on the peak and minimum levels seen during the WET event and just before the WET event.

In order to prevent excessive fragmentation of the interval, we also require a minimum interval

length of at least 5 samples. The next data point is marked as DRY (thereby marking the end

of the wet interval) if the standard deviation of the trace falls below the specified threshold and

the prior point was marked as WET.

The results of this identification algorithm are shown in figures 2 and 3. These results clearly

show that the proposed method accurately identifies most peaks in the sensor data. It appears

that only one output sensor peak just after 4.2e7 seconds wasnot picked up by this algorithm.

Determining whether or not a CSO event is ”wet” or ”dry” involves simply matching the wet

output flow events to suitable wet input flow events. For this example, we were able to classify

each WET output flow as indicative of a ”wet” or ”dry CSO event provided we could find a wet

input flow whose interval of support had a non-null intersection with the interval of support for

the wet output flow. This type of logic was easy to automate in the CSOIDtool program and we

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used it to automate the generation of output files capturing the sensor traces of each classified

CSO event.

4.0 Results

In this example, we identified 20 wet output flow events and 13 wet input flow events, which

resulted in potentially 7 dry CSO events being declared. Theprogram automatically picked out

the sensor data pertaining to the identified CSO events. The plots of this data are shown in the

appendix. Each page of the appendix shows input/output flowsfor 4 CSO events.

In particular, we see that CSO events 0-1, 3, 5-8, 11, and 13 were identified as being WET

events, whereas events 2, 4, 9-10, 12, and 14-19 were identified as being dry.

In reviewing the plots, we see that most WET CSO events have time histories as shown

for CSO event 0. In this case there are well-defined peaks in both the input and output flows

that overlap. Some of the WET CSO events seem to violate this trend. In particular, we see

that CSO event 2, 7, and 8 have abnormal profiles. While these CSO events have wet input

flows, we note that the some of the output flows are abnormally shaped. This occurs because

the pump has stopped working properly. While this program does not automate the identification

of such abnormal CSO events, it should be possible to modify the program so these events are

also identified. This would be done using pattern recognition techniques similar to the syntactic

methods used to identify the wet-flow periods.

In reviewing the plots, we see that most DRY CSO events have been correctly identified.

Namely, there are ”wet” output flows that have no corresponding wet input flows. The only

exception to this is seen in CSO event 4, where this is an abnormally shaped input flow pulse

that was not detected by our algorithm. Another interestingobservation occurs with regard to

DRY events 12, 14-19. CSO event 12 shows an abnormal pulse shape on the output flow that

may be due to problems with the sensor. CSO event 14-18 show anabnormally low level of

variation in the input sensor. This may be indicative of a failure on the input sensor. The last

CSO event 19 appears to be a result of a large outlier in the sensor data, again indicative of

sensor failure.

5.0 Recommendations

We believe the preliminary results obtained with CSOIDtoolare promising. These results

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suggest that automating the identification of CSO events andsensor failure in the EmNET

database can be reduced to a rather simple set of syntacticalpattern recognition problems that are

relatively easy to implement. While this report confines itsattention to a relatively simple input-

output set of flows, it should be possible to extend this approach to the two more complicated

system shown below in figure 4.

Fig. 4. More Examples

These systems can also be treated as a set of input-output flows. In the lefthand system,

The input sensor flow is the sum of sensorsG.15.2(S2) andG.15.2(S1) and the output

is the sum of sensorsG.15.3 and G.15.1. In the righthand system we have a number of

input-output relations that can be examined to check for possible CSO events. So the approach

identified in this report should be easily extended to other scenarios. This extension requires

prior identification of the appropriate input-output systems that the program is going to check.

This can be done ahead of time using knowledge of the sewer system layout.

The bigger challenge involves improving the pattern recognition algorithms being used in this

scheme. Right now we are triggering the detection of the wet-flow interval using the standard

deviation of the sensor data. A somewhat better approach maybe adopted using a matched

filtering approach in which we use the impulse response of thesystem is used to compute the

sufficient statistic required to detect the wet-flow periods. It would also be valuable to use the

syntactical idea to detect abnormal wet-flow outputs.

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Appendix: console_output.txt

CSO OVERFLOW SUMMARY

13 Input Events and 20 Output Events

CSO EVENT 0

duration = 547 samples

starting 2008-12-8 20:26:0

ending 2008-12-10 18:46:0

WET cso event

CSO EVENT 1

duration = 915 samples

starting 2008-12-14 14:11:0

ending 2008-12-17 18:31:0

WET cso event

CSO EVENT 2

duration = 1404 samples

starting 2008-12-26 13:6:0

ending 2008-12-31 9:56:0

DRY cso event

CSO EVENT 3

duration = 421 samples

starting 2009-2-6 21:56:0

ending 2009-2-8 9:16:0

WET cso event

CSO EVENT 4

duration = 327 samples

starting 2009-2-9 10:11:0

ending 2009-2-10 13:46:0

DRY cso event

CSO EVENT 5

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duration = 479 samples

starting 2009-2-10 20:46:0

ending 2009-2-12 12:41:0

WET cso event

CSO EVENT 6

duration = 357 samples

starting 2009-2-17 20:56:0

ending 2009-2-19 2:41:0

WET cso event

CSO EVENT 7

duration = 538 samples

starting 2009-2-26 5:6:0

ending 2009-2-28 1:56:0

WET cso event

CSO EVENT 8

duration = 1371 samples

starting 2009-3-7 5:31:0

ending 2009-3-12 2:41:0

WET cso event

CSO EVENT 9

duration = 293 samples

starting 2009-3-15 21:56:0

ending 2009-3-17 1:41:0

DRY cso event

CSO EVENT 10

duration = 305 samples

starting 2009-3-24 16:21:0

ending 2009-3-25 17:46:0

DRY cso event

CSO EVENT 11

duration = 310 samples

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starting 2009-3-28 12:26:0

ending 2009-3-29 14:16:0

WET cso event

CSO EVENT 12

duration = 393 samples

starting 2009-4-9 6:1:0

ending 2009-4-10 15:11:0

DRY cso event

CSO EVENT 13

duration = 335 samples

starting 2009-4-27 11:6:0

ending 2009-4-28 15:1:0

WET cso event

CSO EVENT 14

duration = 306 samples

starting 2009-5-6 21:31:0

ending 2009-5-7 23:1:0

DRY cso event

CSO EVENT 15

duration = 317 samples

starting 2009-5-13 12:56:0

ending 2009-5-14 15:21:0

DRY cso event

CSO EVENT 16

duration = 305 samples

starting 2009-5-26 10:56:0

ending 2009-5-27 12:11:0

DRY cso event

CSO EVENT 17

duration = 313 samples

starting 2009-5-31 18:16:0

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ending 2009-6-1 20:31:0

DRY cso event

CSO EVENT 18

duration = 333 samples

starting 2009-6-10 18:16:0

ending 2009-6-11 22:6:0

DRY cso event

CSO EVENT 19

duration = 301 samples

starting 2009-6-18 16:26:0

ending 2009-6-20 21:1:0

DRY cso event

TOTAL NUMBER OF CSO EVENTS = 20

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Appendix: CSO EVENT 0 to 3

3.186 3.188 3.19 3.192 3.194 3.196 3.198 3.2 3.202 3.204

x 107

0

1

2

3

4CSO event 0input depth − raw and std dev

3.186 3.188 3.19 3.192 3.194 3.196 3.198 3.2 3.202 3.204

x 107

−0.5

0

0.5

1

1.5

2

2.5

3CSO event 0output depth − raw and std dev

3.235 3.24 3.245 3.25 3.255 3.26 3.265

x 107

0

0.5

1

1.5

2

2.5

3CSO event 1input depth − raw and std dev

3.235 3.24 3.245 3.25 3.255 3.26 3.265

x 107

−0.5

0

0.5

1

1.5

2CSO event 1output depth − raw and std dev

3.335 3.34 3.345 3.35 3.355 3.36 3.365 3.37 3.375 3.38 3.385

x 107

−3

−2

−1

0

1

2

3

4CSO event 2input depth − raw and std dev

3.335 3.34 3.345 3.35 3.355 3.36 3.365 3.37 3.375 3.38 3.385

x 107

−1

0

1

2

3

4CSO event 2output depth − raw and std dev

3.73 3.735 3.74 3.745

x 107

0

0.5

1

1.5

2

2.5

3

3.5CSO event 3input depth − raw and std dev

3.73 3.735 3.74 3.745

x 107

−0.5

0

0.5

1

1.5

2

2.5

3CSO event 3output depth − raw and std dev

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Appendix: CSO EVENT 4 to 7

3.752 3.754 3.756 3.758 3.76 3.762 3.764

x 107

0

0.2

0.4

0.6

0.8

1

1.2

1.4CSO event 4input depth − raw and std dev

3.752 3.754 3.756 3.758 3.76 3.762 3.764

x 107

−0.5

0

0.5

1

1.5

2

2.5CSO event 4output depth − raw and std dev

3.764 3.766 3.768 3.77 3.772 3.774 3.776 3.778 3.78 3.782

x 107

0

1

2

3

4

5CSO event 5input depth − raw and std dev

3.764 3.766 3.768 3.77 3.772 3.774 3.776 3.778 3.78 3.782

x 107

−1

0

1

2

3

4CSO event 5output depth − raw and std dev

3.826 3.828 3.83 3.832 3.834 3.836 3.838

x 107

0

1

2

3

4

5CSO event 6input depth − raw and std dev

3.826 3.828 3.83 3.832 3.834 3.836 3.838

x 107

−0.5

0

0.5

1

1.5

2

2.5

3CSO event 6output depth − raw and std dev

3.898 3.9 3.902 3.904 3.906 3.908 3.91 3.912 3.914 3.916

x 107

0

1

2

3

4CSO event 7input depth − raw and std dev

3.898 3.9 3.902 3.904 3.906 3.908 3.91 3.912 3.914 3.916

x 107

−1

0

1

2

3

4CSO event 7output depth − raw and std dev

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Appendix: CSO EVENT 8 to 11

3.99 3.995 4 4.005 4.01 4.015 4.02 4.025 4.03 4.035 4.04

x 107

0

1

2

3

4

5CSO event 8input depth − raw and std dev

3.99 3.995 4 4.005 4.01 4.015 4.02 4.025 4.03 4.035 4.04

x 107

−1

0

1

2

3

4

5

6CSO event 8output depth − raw and std dev

4.068 4.07 4.072 4.074 4.076 4.078 4.08

x 107

0

0.2

0.4

0.6

0.8

1CSO event 9input depth − raw and std dev

4.068 4.07 4.072 4.074 4.076 4.078 4.08

x 107

−0.5

0

0.5

1

1.5

2

2.5CSO event 9output depth − raw and std dev

4.144 4.145 4.146 4.147 4.148 4.149 4.15 4.151 4.152 4.153 4.154

x 107

0

0.5

1

1.5

2CSO event 10input depth − raw and std dev

4.144 4.145 4.146 4.147 4.148 4.149 4.15 4.151 4.152 4.153 4.154

x 107

−0.5

0

0.5

1

1.5

2

2.5

3CSO event 10output depth − raw and std dev

4.177 4.178 4.179 4.18 4.181 4.182 4.183 4.184 4.185 4.186 4.187

x 107

0

1

2

3

4

5CSO event 11input depth − raw and std dev

4.177 4.178 4.179 4.18 4.181 4.182 4.183 4.184 4.185 4.186 4.187

x 107

−0.5

0

0.5

1

1.5

2

2.5

3CSO event 11output depth − raw and std dev

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Appendix: CSO EVENT 12 to 15

4.27 4.272 4.274 4.276 4.278 4.28 4.282 4.284

x 107

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8CSO event 12input depth − raw and std dev

4.27 4.272 4.274 4.276 4.278 4.28 4.282 4.284

x 107

−3

−2

−1

0

1

2

3CSO event 12output depth − raw and std dev

4.426 4.428 4.43 4.432 4.434 4.436 4.438

x 107

0

1

2

3

4

5CSO event 13input depth − raw and std dev

4.426 4.428 4.43 4.432 4.434 4.436 4.438

x 107

−1

0

1

2

3

4CSO event 13output depth − raw and std dev

4.509 4.51 4.511 4.512 4.513 4.514 4.515 4.516 4.517 4.518 4.519

x 107

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7CSO event 14input depth − raw and std dev

4.509 4.51 4.511 4.512 4.513 4.514 4.515 4.516 4.517 4.518 4.519

x 107

−0.5

0

0.5

1

1.5

2

2.5

3CSO event 14output depth − raw and std dev

4.566 4.568 4.57 4.572 4.574 4.576 4.578

x 107

0

0.1

0.2

0.3

0.4

0.5CSO event 15input depth − raw and std dev

4.566 4.568 4.57 4.572 4.574 4.576 4.578

x 107

−1

0

1

2

3

4

5

6CSO event 15output depth − raw and std dev

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Appendix: CSO EVENT 16 to 19

4.678 4.679 4.68 4.681 4.682 4.683 4.684 4.685 4.686 4.687 4.688

x 107

−2.5

−2

−1.5

−1

−0.5

0

0.5CSO event 16input depth − raw and std dev

4.678 4.679 4.68 4.681 4.682 4.683 4.684 4.685 4.686 4.687 4.688

x 107

0

0.5

1

1.5

2

2.5CSO event 16output depth − raw and std dev

4.717 4.718 4.719 4.72 4.721 4.722 4.723 4.724 4.725 4.726 4.727

x 107

0

0.1

0.2

0.3

0.4

0.5CSO event 17input depth − raw and std dev

4.717 4.718 4.719 4.72 4.721 4.722 4.723 4.724 4.725 4.726 4.727

x 107

0

0.5

1

1.5

2

2.5

3CSO event 17output depth − raw and std dev

4.8 4.802 4.804 4.806 4.808 4.81 4.812

x 107

0

0.1

0.2

0.3

0.4

0.5CSO event 18input depth − raw and std dev

4.8 4.802 4.804 4.806 4.808 4.81 4.812

x 107

−1

0

1

2

3

4CSO event 18output depth − raw and std dev

4.87 4.872 4.874 4.876 4.878 4.88 4.882 4.884 4.886 4.888 4.89

x 107

0

0.1

0.2

0.3

0.4

0.5CSO event 19input depth − raw and std dev

4.87 4.872 4.874 4.876 4.878 4.88 4.882 4.884 4.886 4.888 4.89

x 107

0

1

2

3

4CSO event 19output depth − raw and std dev

July 31, 2009 DRAFT