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Casestudie Breakdown prediction Contell PILOT - Transumo

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S<br />

o<br />

n<br />

2<br />

= ∑ Yi<br />

−Yi<br />

n −1<br />

i=<br />

2<br />

−1<br />

with :<br />

S<br />

o<br />

= Outlier threshold value<br />

Y = Measurement values<br />

n = Number of measurement values<br />

Formula 4-1: Threshold Value to Determine Potential Outliers<br />

But an ignorance of every measurement value with a higher distance than S o would<br />

lead to a neglecting of trends and other changes in behavior. That is why the number<br />

of outliers in a row is counted. Every possible outlier is set to the current mean value<br />

as long as less than three values in a row are classified to be outliers. In case of<br />

three or more values in a row, no further elimination will take place. (Daßler95] p. 54-<br />

55)<br />

This approach is able to cut off single outliers. The only disadvantage is a delay of<br />

trend recognition that is pictured in Figure 4-2. The green points represent the<br />

measured values with an existing change in trend. The red points illustrate the delay<br />

of trend recognition, because the first two higher values are classified as outliers and<br />

set to mean value. (Daßler95] p. 55)<br />

Figure 4-2: A Delayed Trend Recognition Due to Removal of "Outliers"<br />

After eliminating outliers, the measurement data is stored to a ring memory. This kind<br />

of memory has a fixed size. As soon as no sufficient memory is available to add an<br />

additional measuring point, the oldest value is overridden. This organization is used<br />

to avoid a high influence by too old values. The size of this ring memory is not<br />

49

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