The most suitable mother wavelet for steady-state power system distorted waveforms

The proliferation of nonlinear load in the electric power system leads to steady-state waveform harmonic distortion. Since harmonic distortion has harmful effects on the electric power system, there is a need to analyze and hence accurately measure their values which is an issue of great concern especially in a deregulated environment. Conventional Fourier based analyzing tools have some limitations concerning frequency and time resolutions. Although wavelet transform overcomes these limitations, it suffers from the problem of spectral leakage which is related to the choice of the wavelet family and the mother wavelet used in the analysis. In order to minimize these errors, this paper presents an approach to select the most suitable wavelet family and the most suitable mother wavelet to achieve accurate measurement of steady-state harmonic distortion using the discrete wavelet transform (DWT). The proposed algorithm is simple and proves to be accurate when applied to two cases of different distortion level.

[1]  Michael J. Devaney,et al.  Power measurement using the wavelet transform , 1998, IEEE Trans. Instrum. Meas..

[2]  Ingrid Daubechies.  Wavelets: an overview, with recent applications , 1995, Proceedings of 1995 IEEE International Symposium on Information Theory.

[3]  R. I. Diego,et al.  Application of the wavelet-packet transform to the estimation of harmonic groups in current and voltage waveforms , 2006, IEEE Transactions on Power Delivery.

[4]  I. Daubechies.  Ten Lectures on Wavelets , 1992 .

[5]  E. Y. Hamid,et al.  Method for RMS and power measurements based on the wavelet packet transform , 2002 .

[6]  Ronnie Belmans,et al.  Wavelet-based power quantification approaches , 2002, IMTC/2002. Proceedings of the 19th IEEE Instrumentation and Measurement Technology Conference (IEEE Cat. No.00CH37276).

[7]  M.A. Rahman,et al.  Modeling and protection of a three-phase power transformer using wavelet packet transform , 2005, IEEE Transactions on Power Delivery.

[8]  Kit Po Wong,et al.  Analysing power system waveforms using wavelet-transform approach , 2000 .

[9]  Ingrid Daubechies,et al.  Where do wavelets come from? A personal point of view , 1996, Proc. IEEE.

[10]  S. Santoso,et al.  Power quality assessment via wavelet transform analysis , 1996 .

[11]  A.I. Megahed,et al.  Usage of wavelet transform in the protection of series-compensated transmission lines , 2006, IEEE Transactions on Power Delivery.

[12]  T. Croes,et al.  Power measurement using the wavelet transform of analytic signals , 2004, 2004 11th International Conference on Harmonics and Quality of Power (IEEE Cat. No.04EX951).

[13]  T.X. Zhu.  A new approach to active power calculation using wavelet coefficients , 2006, IEEE Transactions on Power Systems.

[14]  E. Y. Hamid,et al.  Wavelet packet transform for RMS and power measurements , 2001, 2001 Power Engineering Society Summer Meeting. Conference Proceedings (Cat. No.01CH37262).

[15]  K.L. Lo,et al.  Wavelet-based fuzzy reasoning approach to power-quality disturbance recognition , 2004, IEEE Transactions on Power Delivery.

[16]  C. Parameswariah,et al.  Frequency Characteristics of Wavelets , 2002, IEEE Power Engineering Review.

[17]  A. V. Shupletsov,et al.  Wavelet packet transform for power quality factors measurement , 2004, 2004 International Siberian Workshop on Electron Devices and Materials.

[18]  Zwe-Lee Gaing,et al.  Wavelet-based neural network for power disturbance recognition and classification , 2004, IEEE Transactions on Power Delivery.

[19]  S. Mallat.  A wavelet tour of signal processing , 1998 .

[20]  E. Y. Hamid,et al.  Wavelet packet transform for RMS values and power measurements , 2001 .

[21]  A.K. Sinha,et al.  A comparison of Fourier transform and wavelet transform methods for detection and classification of faults on transmission lines , 2006, 2006 IEEE Power India Conference.

[22]  Adly A. Girgis,et al.  Power system transient and harmonic studies using wavelet transform , 1999 .

[23]  Pasquale Daponte,et al.  A measurement method based on the wavelet transform for power quality analysis , 1998 .

[24]  Chul-Hwan Kim,et al.  Wavelet transforms in power systems. I. General introduction to the wavelet transforms , 2000 .

[25]  Michael J. Devaney,et al.  Calculation of power system harmonics via wavelet packet decomposition in real time metering , 2002, IMTC/2002. Proceedings of the 19th IEEE Instrumentation and Measurement Technology Conference (IEEE Cat. No.00CH37276).

[26]  Chul-Hwan Kim,et al.  Wavelet transforms in power systems Part 2 Examples of application to actual power system transients , 2001 .

[27]  Arghya Sarkar,et al.  A novel instantaneous power factor measurement method based on wavelet transform , 2006, 2006 IEEE Power India Conference.

[28]  Kit Po Wong,et al.  Wavelet-transform-based algorithm for harmonic analysis of power system waveforms , 1999 .

[29]  T.X. Zhu.  Effective value calculation in wavelet domain , 2004, IEEE Transactions on Power Delivery.

[30]  Ingrid Daubechies,et al.  The wavelet transform, time-frequency localization and signal analysis , 1990, IEEE Trans. Inf. Theory.

[31]  Alan V. Oppenheim,et al.  Discrete-time Signal Processing. Vol.2 , 2001 .

[32]  Ingrid Daubechies.  Wavelets: a tool for time-frequency analysis , 1989, Sixth Multidimensional Signal Processing Workshop,.

[33]  Michael J. Devaney,et al.  Reactive power measurement using the wavelet transform , 2000, IEEE Trans. Instrum. Meas..

[34]  A.K. Sinha,et al.  Design of HV transmission line protection and control system using wavelet transform for microcontroller application , 2006, 2006 IEEE Power India Conference.

[35]  R. Belmans,et al.  Active power filter control algorithms using wavelet-based power definitions , 2002, 10th International Conference on Harmonics and Quality of Power. Proceedings (Cat. No.02EX630).