symbolic dynamic models for highly varying power system loads
symbolic dynamic models for highly varying power system loads
symbolic dynamic models for highly varying power system loads
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consecutive symbols at a time, and so on, until n w symbols at a time are taken. Note that<br />
n w is the maximum word length defined <strong>for</strong> the dictionary. All the blank spaces are filled<br />
with zeros in the dictionary. Entries in the dictionary are called words. The dictionary<br />
also contains a separate column matrix that is filled with the fractional occurrence of each<br />
word in the dictionary. Figure 2.2 shows the process.<br />
one word<br />
Q 0 0 0……0<br />
W 0 0 0……0<br />
…………………………………...<br />
…………………………………...<br />
Q W 0 0……0<br />
ƒc i<br />
one symbol<br />
W E 0 0……0<br />
…………………………………...<br />
…………………………………...<br />
Q W E 0……0<br />
…………………………………...<br />
…………………. E G H<br />
fractional occurrence<br />
Signal: c=[Q, W, E, R, T, Y, U, I, O, P, Q, H,…, E, G, H]<br />
Figure 2.2 Forming a Symbolic Dynamic dictionary<br />
If there are N data points in a signal (which means N symbols) and maximum<br />
word length is n w then total number of words N T in a dictionary can be calculated,<br />
N T =N+(N-1)+(N-2)+…+(N- (n w -1))<br />
=n w *N- ((n w -1)*n w /2)<br />
=n w [N- (n w -1)/2].
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