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Development of a wavelet-based algorithm to detect and determine ...

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2.5.2 S<strong>of</strong>tware modules . . . . . . . . . . . . . . . . . . . . . . . . . . . 11<br />

3 SIMEAS R in the labora<strong>to</strong>ry 14<br />

3.1 SIMEAS R configuration . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14<br />

3.2 Labora<strong>to</strong>ry use . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16<br />

4 IEEE St<strong>and</strong>ard Common Format for Transient Data Exchange (COMTRADE)<br />

for Power Systems 18<br />

4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18<br />

4.2 Sources <strong>of</strong> transient data . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19<br />

4.3 Files for data exchange . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20<br />

4.3.1 Header file (xxx...xxx.HDR) . . . . . . . . . . . . . . . . . . . . . . 20<br />

4.3.2 Configuration file (xxx...xxx.CFG) . . . . . . . . . . . . . . . . . . 21<br />

4.3.3 Data file (xxx...xxx.DAT) . . . . . . . . . . . . . . . . . . . . . . . . 26<br />

4.4 Differences between the 1991’s <strong>and</strong> the 1999’s st<strong>and</strong>ard . . . . . . . . . . 26<br />

5 Program <strong>to</strong> read Comtrade files in<strong>to</strong> Matlab 28<br />

5.1 Data structure <strong>of</strong> data s<strong>to</strong>rage in MATLAB . . . . . . . . . . . . . . . . . 31<br />

6 Wavelets 33<br />

6.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33<br />

6.2 Basic ideas <strong>of</strong> the <strong>wavelet</strong> transform . . . . . . . . . . . . . . . . . . . . . 35<br />

6.2.1 Representation <strong>of</strong> signals through transforms . . . . . . . . . . . . 35<br />

6.2.2 Continuous Wavelet Transform . . . . . . . . . . . . . . . . . . . . 43<br />

6.2.3 Discretization <strong>of</strong> Continuous Wavelet Transform . . . . . . . . . . 49<br />

II

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