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Using Wavelet for Visualization and Understanding



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Section 6 Chapter 1 Chapter 15 Using Wavelet for Visualization and Understanding of Time Varying Waveform Distortions in Power Systems Paulo M Silveira Michael Steurer and Paulo F Ribeiro 1 1 Introduction Harmonic distortion assumes steady state condition and is consequently inadequate to deal with time varying waveforms Even the Fourier Transform is limited in conveying information about the nature of time varying signals The objective of this chapter is to demonstrate and encourage the use of wavelets as an alternative for the inadequate traditional harmonic analysis and still maintain some of the physical interpretation of harmonic distortion viewed from a time varying perspective The chapter shows how wavelet multi resolution analysis can be used to help in the visualization and physical understanding of time varying waveform distortions The approach is then applied to waveforms generated by high fidelity simulation using RTDS of a shipboard power system In recent years utilities and industries have focused much attention in methods of analysis to determine the state of health of electrical systems The ability to get a prognosis of a system is very useful because attention can be brought to any problems a system may exhibit before they cause the system to fail Besides considering the increased use of the power electronic devices utilities have experienced in some cases a higher level of voltage and current harmonic distortions A high level of harmonic distortions may lead to failures in equipment and systems which can be inconvenient and expensive Traditionally harmonic analyses of time varying harmonics have been done using a probabilistic approach and assuming that harmonics components vary too slowly to affect the accuracy of the analytical process 1 2 3 Another paper has suggested a combination of probabilistic and spectral methods also referred as evolutionary spectrum 4 The techniques applied rely on Fourier Transform methods that implicitly assume



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