Power parameters calculations based on wavelet packet transform

Power and power quality are of most importance in modern energy systems. The traditional method for power measurement and calculation uses Fourier transform. With Fourier transforms power calculations are performed in the time and frequency domains. However, it requires suitable windowing functions along with lengthy and complex (trigonometrically, exponentially, etc.) operations. In this study, a new approach which based on wavelet packet transform for power calculations of both fundamental and all harmonics of signals is proposed. The method is fast, efficient and overcomes limitations of the current techniques as mentioned above. The accuracy of the derived analytical equations is demonstrated via simulations implemented with the designed graphical user interface program and experimental works.

[1]  A. Jensen,et al.  Ripples in Mathematics - The Discrete Wavelet Transform , 2001 .

[2]  L. Czarnecki.  What is wrong with the Budeanu concept of reactive and distortion power and why it should be abandoned , 1987, IEEE Transactions on Instrumentation and Measurement.

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

[4]  M. Victor Wickerhauser,et al.  Adapted wavelet analysis from theory to software , 1994 .

[5]  A. E. Emanuel,et al.  Practical definitions for powers in systems with nonsinusoidal waveforms and unbalanced loads: a discussion , 1996 .

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

[7]  V. G. Smith.  Reactive and Fictitious Power , 1933, Transactions of the American Institute of Electrical Engineers.

[8]  F. Vatansever,et al.  A new approach for measuring RMS value and phase angle of fundamental harmonic based on Wavelet Packet Transform , 2008 .

[9]  Jean-Michel Poggi,et al.  Wavelets and their applications , 2007 .

[10]  Michael Feldman,et al.  TIME–FREQUENCY CHARACTERISTICS OF NON-LINEAR SYSTEMS , 1997 .

[11]  Leszek S. Czarnecki,et al.  Considerations on the Reactive Power in Nonsinusoidal Situations , 1985, IEEE Transactions on Instrumentation and Measurement.

[12]  W.J.M. Moore,et al.  On the Definition of Reactive Power Under Non-Sinusoidal Conditions , 1980, IEEE Transactions on Power Apparatus and Systems.

[13]  A. Marganitz.  Power measurement of periodic current and voltage by digital signal processing , 2007 .

[14]  Michael Cerna,et al.  Labview Signal Processing , 1998 .

[15]  P. Zakikhani,et al.  Suggested definition of reactive power in nonsinusoidal systems , 1973 .

[16]  Weon-Ki Yoon,et al.  Power measurement using the wavelet transform , 1998, IMTC/98 Conference Proceedings. IEEE Instrumentation and Measurement Technology Conference. Where Instrumentation is Going (Cat. No.98CH36222).