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Casestudie Breakdown prediction Contell PILOT - Transumo

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could be: “The mean increase of a freezer’s electric power consumption is about 5%<br />

per degree room ambient temperature”.<br />

Functional models use functions to describe the existing behavior. ([Berthold99], p.<br />

172) Finding a functional description can be very difficult and is not always possible.<br />

A functional model of the freezer’s electric power consumption would allow a<br />

calculation for every given room temperature. Furthermore, it could help predicting<br />

malfunctions of a cooling device by just comparing current behavior to the describing<br />

function.<br />

Most powerful and detailed are analytic models. They describe coherences by the<br />

use of algebraic or differential equations. This allows a very detailed description of<br />

outputs for all kinds of imaginable inputs. ([Berthold99], p. 172) As already pointed<br />

out in section 2.4.1, many in- and outputs and their coherences are unknown due to<br />

very few sensors. That is why it seems to be impossible to find analytic models with<br />

the currently available datasets.<br />

Hence, this diploma thesis will first of all focus on possibilities to create statistical and<br />

functional models to gain more detailed information of monitored cooling devices.<br />

Only in case of reaching a degree of total information with this kind of models, an<br />

attempt to determine an analytic model would be useful.<br />

5.2 Different Kinds of Statistical Analysis<br />

The general purpose of statistical analysis is to provide information to advance<br />

important decisions. The main idea is to improve the quality of the decision making<br />

process by reducing uncertainties as good as possible. In general, statistics is<br />

divided into two branches: ([Holland01], p. 3)<br />

1. Descriptive statistics<br />

2. Inferential statistics<br />

Descriptive statistical methods describe large available datasets. Their main purpose<br />

is to summarize and to evaluate them. Another important task is the filtering of most<br />

important facts to get an overview of the underlying dataset. Typical results of<br />

descriptive statistical methods are statistical measures like the mean or the standard<br />

deviation for instance. The results are presented in form of a table or a graph to offer<br />

a quick overview. ([Holland01], p. 3)<br />

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