The Noise Sensitivity in Transform based Harmonic Estimation Methods

Abstract

The detecting, measuring, controlling and suppressing harmonics is extremely important. For these purposes, there are many methods in the field of harmonic analysis. However, like the methods of other fields, these methods are affected by factors such as sampling, windowing, and noise. In this study, noise sensitivities of five different transform based methods (fast Fourier transform, chirp z-transform, Hartley transform, Hilbert-Huang transform, wavelet transform) in the harmonic analysis were investigated. Performance analyzes are presented by making a comparative analysis of the related methods at different noise levels. 

Keywords

• Harmonic
• harmonic estimation
• noise sensitivity

DÖNÜŞÜM TABANLI HARMONİK KESTİRİM YÖNTEMLERİNDE GÜRÜLTÜ DUYARLILIĞI

Abstract

Harmoniklerin tespit edilmesi, ölçülmesi, kontrol edilmesi ve bastırılması son derece önemlidir. Bu amaçlarla harmonik analizi alanında birçok yöntem mevcuttur. Ancak bu yöntemler - diğer alanlara ait yöntemler gibi - örnekleme, pencereleme, gürültü gibi faktörlerden etkilenmektedirler. Gerçekleştirilen çalışmada; harmonik analizi alanındaki yaygın beş farklı dönüşüm tabanlı yöntemin (hızlı Fourier dönüşümü, chirp z-dönüşümü, Hartley dönüşümü, Hilbert-Huang dönüşümü, dalgacık dönüşümü) gürültü duyarlılıkları incelenmiştir. Farklı gürültü seviyelerinde, ilgili yöntemlerin karşılaştırmalı analizleri yapılarak performans analizleri sunulmuştur.

Keywords

• Harmonik
• harmonik kestirimi
• gürültü duyarlılığı

References

1. 1. Bi, G., Zeng, Y. (2004) Transforms and Fast Algorithms for Signal Analysis and Representations, Birkhäuser, USA.
2. 2. Chen, C., Chen, Y. (2014) Comparative study of harmonic and interharmonic estimation methods for stationary and time-varying signals, IEEE Transactions on Industrial Electronics, 61 (1), 397-404. doi: 10.1109/TIE.2013.2242419
3. 3. Debnath, L., Bhatta, D. (2007) Integral Transforms and Their Applications, 2nd ed., Chapman & Hall/CRC, USA.
4. 4. Jain, S.K., Singh, S.N. (2011) Harmonics estimation in emerging power system: Key issues and challenges, Electric Power Systems Research, 81, 1754-1766. doi: https://doi.org/10.1016/j.epsr.2011.05.004
5. 5. MathWorks (2019). MATLAB. https://www.mathworks.com/.
6. 6. Poularikas, A.D. (Ed.) (2010) Transforms and Applications Handbook, 3rd ed., CRC Press, USA.
7. 7. Rodrigues, R.P., Silveira, P.M., Ribeiro, P.F. (2010) A survey of techniques applied to non-stationary waveforms in electrical power systems, 14th International Conference on Harmonics and Quality of Power (ICHQP 2010), Bergamo, 1-8. doi: 10.1109/ICHQP.2010.5625503
8. 8. Singh, G.K. (2009) Power system harmonics research: a survey, European Transactions on Electrical Power, 19, 151-172. doi: https://doi.org/10.1002/etep.201

9. 9. Vatansever, F. (2018) Sayısal Hesaplama ve Programlama, Seçkin Yayıncılık, Ankara.
10. 10. Vatansever, F., Çengelci, B. (2011) Prony yöntemiyle harmonik analizi, 6th International Advanced Technologies Symposium (IATS'11), Elazığ/Turkey, 16-18 May. 134-137.
11. 11. 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.
12. 12. Vatansever, F., Yalçın, N.A. (2016) Çevrimiçi harmonik simülatörü tasarımı, 4th International Symposium on Innovative Technologies in Engineering and Science (ISITES2016), Alanya/Antalya/Turkey, 3-5 November, 618-624.
13. 13. Vatansever, F., Yalcin, N.A. (2018) The design of harmonic simulator based on Hartley transform, Academic Perspective Procedia, 1(1), 21-24. doi: 10.33793/acperpro.01.01.7