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Chapter 7<br />

Algorithm <strong>to</strong> <strong>determine</strong> certain kind <strong>of</strong><br />

disturbances<br />

The discrete <strong>wavelet</strong> transform, which was described in the former chapter, is now<br />

used <strong>to</strong> <strong>detect</strong> <strong>and</strong> <strong>to</strong> <strong>determine</strong> certain kind <strong>of</strong> disturbances in power networks.<br />

7.1 Theory<br />

For the theory <strong>of</strong> the discrete <strong>wavelet</strong> transform is fully explained in chapter 6. The<br />

discrete <strong>wavelet</strong> transform <strong>to</strong>gether with multiple level decomposition is used for the<br />

analyze <strong>of</strong> disturbance recordings.<br />

By using the DWT <strong>and</strong> observing the particular features <strong>of</strong> the several decomposition<br />

levels <strong>of</strong> a signal, some important conclusions can be drawn. These information can<br />

be used <strong>to</strong> <strong>detect</strong> <strong>and</strong> <strong>to</strong> identify the disturbance. A digital program is developed <strong>and</strong><br />

written with the <strong>wavelet</strong> <strong>to</strong>olbox in MATLAB.<br />

Each disturbance occurred in the power network results in specific frequencies in the<br />

voltage waveform. Thus only the voltages have <strong>to</strong> be analyzed.<br />

The program works in five steps as follows:<br />

Step 1: Evaluation <strong>of</strong> the square <strong>of</strong> the <strong>wavelet</strong> coefficients <strong>of</strong> the recorded distur-<br />

53

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