GÜÇ BİLEŞENLERİNİN DALGACIK DÖNÜŞÜMÜ TABANLI HESAPLANMASI

Öz

Sistemler için birçok güç tanımlamaları yapılmıştır. Farklı güç tanımlamaları ve bileşenlerinin doğru bir şekilde hesaplanması ve ölçülmesi son derece önemlidir. Bu amaçla çok sayıda yöntemler ve teknikler geliştirilmiştir. Gerçekleştirilen çalışmada; literatürde tanımlanan gelen-yansıyan-iletilen güç bileşenlerinin geleneksel Fourier dönüşümüne alternatif olarak dalgacık paket dönüşümü kullanılarak hesaplanması önerilmiştir. İlgili güç analizlerini yapmak için etkileşimli grafiksel arayüz programı tasarlanmış; önerilen hesaplama tekniğinin etkinliği ve doğruluğu, gerçekleştirilen benzetimlerle/uygulamalarla gösterilmiştir.

Anahtar Kelimeler

• Gelen güç
• yansıyan güç
• iletilen güç
• yansıyan güç kayıp faktörü
• dalgacık paket dönüşümü

The Power Components Calculation based on Wavelet Transform

Öz

Many power definitions have been made for the systems. It is extremely important that different power definitions and their components are accurately calculated and measured. Various methods and techniques have been developed for this purpose. In realized study, it was proposed that calculation of incident-reflected-transmitted power components which are defined in literature can be carried out with wavelet packet transform as an alternative to the traditional Fourier transform. An interactive graphical user interface program was designed to perform related power analysis and the effectiveness and accuracy of the proposed calculation technique was demonstrated by the performed simulations/applications. 

Anahtar Kelimeler

• Incident power
• reflected power
• transmitted power
• reflected power loss factor
• wavelet packet transform

Kaynakça

1. 1. Arseneau, R., Baghzouz, Y. , Belanger, J., Bowes, K., Braun, A., Chiaravallo, A., Cox, M., Crampton, S., Emanuel, A., Filipski, P., Gunther, E., Girgis, A., Hartmann, D., He, S. D., Hensley, G., Iwanusiw, D., Kortebein, W., Mccomb, T., Mceachern, A., Nelson, T., Oldham, N., Piehl, D., Srinivasan, K., Stevens, R., Unruh, T., Williams, D. (1996) Practical definitions for powers in systems with nonsinusoidal waveforms and unbalanced loads: a discussion, IEEE Transastions on Power Delivery, 11 (1), 79-101. doi: https://doi.org/10.1109/61.484004
2. 2. Budeanu, C.I. (1927) Puissances Reactives at Fictives, Institut Romain de l’Énergie, Bucharest, Romania.
3. 3. Czarnecki, L.S. (1985) Considerations on the reactive power in nonsinusoidal situations, IEEE Transactions on Instrumentation and Measurement, 34 (3), 399-404. doi: https://doi.org/10.1109/TIM.1985.4315358
4. 4. Çankaya, İ., Vatansever, F. (2002) Fourier ve dalgacık dönüşümünün karşılaştırılması, SDÜ Fen Bilimleri Enstitüsü Dergisi, 6 (3), 14-24.
5. 5. Debnath, L. (2002) Wavelet Transforms & Their Applications, Birkhäuser, Boston.
6. 6. Donoho, D.L. (1999) Software package ‘WaveLab v.802’ of MATLAB program.
7. 7. Emanuel, A.E. (1990) Power in non-sinusoidal situations a review of definitions and physical meaning, IEEE Transactions on Power Delivery, 5 (3), 1377-1389. doi: https://doi.org/10.1109/61.57980
8. 8. Filipski, P.S., Baghzouz, Y., Cox, M.D. (1994) Discussion of power definitions contained in the IEEE dictionary, IEEE Transactions on Power Delivery, 9 (3), 1237-1244. doi: https://doi.org/10.1109/61.311149

9. 9. Fryze, S. (1931) Active, reactive and apparent power in non-sinusoidal systems, Przegled Elektrotek, 7, 193-203.
10. 10. Goswami, J.C., Chan, A.K. (1999) Fundamentals of Wavelets, John Wiley&Sons, USA.
11. 11. Hamid, E.Y., Mardiana, R., Kawasaki, Z.I. (2002) Method for RMS and power measurements based on the wavelet packet transform, IEE Proceedings - Science, Measurement and Technology, 149 (2), 60-66. doi: https://doi.org/10.1049/ip-smt:20020156
12. 12. IEEE (1988) IEEE Standart Dictionary of Electrical and Electronics Terms ANSI/EKE std 100-1988, IEEE, New York.
13. 13. Kusters, N.L., Moore, W.J.M. (1980) On the definition of reactive power under nonsinusoidal conditions, IEEE Transaction on Power Apparatus and Systems, PAS-99 (5), 1845-1854. doi: https://doi.org/10.1109/TPAS.1980.319833
14. 14. Lu, S.L., Lin, C.E., Huang, C.L. (2000) Suggested power definition and measurement due to harmonic load, Electric Power Systems Research, 53 (2), 73-81. doi: https://doi.org/10.1016/S0378-7796(98)00171-0
15. 15. Mathworks (2019), MATLAB, www.mathworks.com
16. 16. Sankaran, C. (2002) Power Quality, CRC Press.
17. 17. Sharon, D. (1973) Reactive power definition and power factor improvement in non-linear systems, Proceedings of the Institution of Electrical Engineers, 120 (6), 704-706. doi: https://doi.org/10.1049/piee.1973.0155
18. 18. Shepherd, W., Zakikhani, P. (1972) Suggested definition of reactive power for nonsinusoidal systems, Proceedings of the Institution of Electrical Engineers, 119 (9),1361-1362. doi: https://doi.org/10.1049/piee.1972.0268
19. 19. Slonim, M.A., Van der Wyk, J.D. (1988) Power components in a system with sinusoidal and non-sinusoidal voltages and/or currents, IEE Proceedings B - Electric Power Applications, 135 (2), 76-84. doi: https://doi.org/10.1049/ip-b.1988.0010
20. 20. Vatansever, F., Ozdemir, A. (2008) A new approach for measuring RMS value and phase angle of fundamental harmonic based on wavelet packet transform, Electric Power Systems Research, 78(1), 74-79. doi: https://doi.org/10.1016/j.epsr.2006.12.009
21. 21. Vatansever, F., Ozdemir, A. (2009) Power parameters calculations based on wavelet packet transform, International Journal of Electrical Power and Energy Systems, 31, 596-603. doi: https://doi.org/10.1016/j.ijepes.2009.04.001
22. 22. Vatansever, F., Uyaroğlu, Y., Özdemir, A. (2009) Dalgacık paket tabanlı harmonik analizi, 5th International Advanced Technologies Symposium (IATS'09), Karabuk/Turkey, 13-15 May. 432-437.
23. 23. Vatansever, F., Ozdemir, A. (2010) An alternative approach for calculating/measuring fundamental powers based on wavelet packet transform and its frequency sensitivity analysis, Electrical Engineering, 91, 417-424. doi: https://doi.org/10.1007/s00202-010-0150-x
24. 24. Wickerhauser, M.V. (1994) Adapted Wavelet Analysis from Theory to Software, AK Peters, Wellesley.
25. 25. Yoon, W.K., Devaney, M.J. (1998) Power measurement using the wavelet transform, IEEE Transactions on Instrumentation and Measurement, 47 (5), 1205-1210. doi: https://doi.org/10.1109/19.746584
26. 26. Yoon, W.K., Devaney, M.J. (2000) Reactive power measurement using the wavelet transform, IEEE Transactions on Instrumentation and Measurement, 49 (2), 246-252. doi: https://doi.org/10.1109/19.843057