Histograms and Ranked Correlations

  1. Select
    the TrendPlot,
    scroll
    down to the Unit 2 Temperatures and Flows and
    perform
    a Multi-Select on flows from “Unit 2 Steam Flow” to “Unit 2 CTG200 Fuel Gas Flow”. On any of the selected trends,
    right mouse-click
    and
    select
    “Analyze” and “Histogram”.
    Select Variables for Histogram Analysis
  2. Histograms display the range of data, by populations (height of vertical bar) distributed in bins. Select and unselect “Accumulation” that totalizes the bin volumes across the range (e.g. what value is 95% of the values).
    Histogram of Unit 2 Flows
    Accumulated Histogram
  3. Select All
    and
    Right Mouse-Click
    on one of the plots and
    Select
    “Restrict Values”. Note also that there is also an option to “Set Bin Count” if you need more or less resolution.
    Histogram Plot Options, Select Restrict Values
  4. Occasionally when comparing common values it is useful to display histograms on a common range.
    Set
    range to include the maximum data (Select all four tags and “Use Min/Max from Selection”). Alternatively
    set
    (manually change) the range (Minimum and Maximum Value) from 0 (eliminate below 0 data) and leave 118,130 (which is preset to that overall Max) and
    select
    OK.
    You may select and range different histograms to different ranges. Select desired tags.
    Align Ranges and Data Across Histograms
    Histograms Aligned with a common Range
  5. Undo this range set, with another
    right mouse-click
    on the histogram and
    selecting
    “Show All Values”.
    Histogram Plot Options
  6. Select
    the histogram tab and the filter Icon in the display (on the right histogram header). Add the filters for High and Medium Load. Select OK. You may unselect (i.e. clear) plots with Shift mouse-click.
    Select Filter on Histogram
    Apply Two Filters on Unit 2 Histogram
    Histogram with two red/blue filters
  7. This may seem like all the data.
    Select
    the filter icon again and
    select
    “Show Unfiltered Data”.
    Select
    OK.
    Edit Active Filters from Filter Icon
    Select Show Unfiltered Data
  8. You will find unfiltered is most of the data but unfiltered in histogram is 'all' data. So the stack is all versus high load and medium load data. Move your cursor over different sections of the vertical stacked bars. Each pattern is shown (not hidden by overlay plots), so check the quantity of patterns represented (the percent is the percent of the section data) and you will see small differences, while most patterns available are either in the selected high or medium times.
    Histogram with Filtered and Unfiltered Data
    Data presented is number of patterns and data percentage
  9. Select
    the original “Correlation” plot. We will study Unit 2 Inlet NOx.
    Observe
    what appears more or less correlated with Inlet NOx (remember inlet NOx is before the SCR and Exhaust NOx is after SCR which is used to reduce emissions). The larger diagonal is 100% (Inlet NOx versus NOx/itself) and stronger correlations are larger boxes such as Inlet O2 (the first blue box – a negative/reflective correlation of -0.559 (-55.9%).
    Scroll
    down,
    observe
    the second column to look for other correlated variables. From the 100% NOx versus O2,
    right mouse-click
    and
    select
    “Analyze” and “Ranked Correlation”.
    Correlation Plot Investigating Inlet NOx
    Select Ranked Correlation from NOx versus NOx (Same variable).
  10. Unit 1 Efficiency shows a high correlation with Unit 2 NOx (but we know to ignore this, it also indicates there are only 830 common rows used, compared to other results with closer to 50,000 patterns to evaluate). Correlation can be misleading and human consideration is a better way to confirm or discover real information in your data. After Inlet O2, information on the duct burner and pilot manifold appear relevant. To look at a delay search (increasing correlation search area
    select
    Delay “Search” and
    enter
    -15 to 0 at an interval of 1. Then
    select
    ‘Compute’.
    Ranked Correlation with Unit 2 Inlet NOx
    Select Delay Search Range
  11. Correlation increases slightly with the broader search range. Ignore Unit 1 data – in particular those variables with very few rows (i.e. 100% correlated, but only using 2 rows). Only small changes occur here and combustion is a rapid process operation.
    Ranked Correlation with Delay Search
  12. Compute again after selecting the “High Load” and “Mid-Load” filters. Results differ measurably after we remove transient and outliers. This is probably a better evaluation.
    Double-click
    both filters.
    Double-click
    the selector <All of> to change to “ANY”. Select “Calculate” again.
    Set Filters for Delay Search
    Ranked Correlation with Filters and Delay Search
User should then select relevant, high priority features as candidate inputs for modeling NOx.
Multi-select
displayed variables, then
right-mouse-click
and
select
Export.
Ranked Correlation Plot, Select Variables for Export
Provide Feedback
Have questions or feedback about this documentation? Please submit your feedback here.