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symbolic dynamic models for highly varying power system loads

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CHAPTER 5<br />

CONCLUSIONS AND FUTURE WORK<br />

5.1 Conclusions<br />

This thesis proposed an innovative technique, called Symbolic Dynamics, <strong>for</strong><br />

<strong>power</strong> <strong>system</strong> load modeling. Salient features of this approach can be listed as follows:<br />

• The <strong>symbolic</strong> <strong>dynamic</strong> model is aimed at <strong>highly</strong> <strong>varying</strong> <strong>loads</strong> such as electric arc<br />

furnaces, steel rolling mills and other <strong>loads</strong> used in the steel industry where load<br />

current does not have a well-behaved waveshape. Symbolic Dynamics is best<br />

suited <strong>for</strong> cases in which a physical model is either inconvenient, inaccurate,<br />

inappropriate or unavailable.<br />

• The method is best suited <strong>for</strong> <strong>loads</strong> which have a rich set of data but perhaps a<br />

poor model.<br />

• Symbolic Dynamics utilizes only the time series historical data of voltage and/or<br />

current.<br />

• Bus voltage and/or load current signals are descretized to represent them by<br />

symbols.<br />

• States of a time <strong>varying</strong> signal can be represented by words, which are<br />

combinations of symbols.<br />

• A <strong>symbolic</strong> <strong>dynamic</strong> dictionary, <strong>for</strong>med by collecting all the words, characterizes<br />

a complete signal.<br />

• In this approach it is assumed that characteristics of the future value of load<br />

current replicate the historical data set in some manner.

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