Harmonic and Inter-Harmonic Analysis in Electric Machines

Abstract

Ensuring quality conditions in the generation, transmission and distribution of electrical energy is one of the most important requirements for the proper operation of a power system. This is of vital especially for sensitive loads, the number of which is increasing due to technological developments. The fact that the generation and consumption units are connected due to the structure of the interconnected system requires that the concept of energy quality be taken into account by both energy generation companies and consumers. In this study, harmonic and inter-harmonic analysis of the permanent magnet synchronous generator, which is one of the basic units of electrical energy production, has been made. The generator designed for the aforementioned analysis was operated under nominal operating conditions. In addition to the harmonic analysis, interharmonic analysis was also carried out within the scope of the study. From the results obtained, it has been determined that the inter-harmonic distortion values for some levels are higher than the harmonic distortion.

Keywords

• Energy Quality
• Harmonics
• Inter-harmonics

Elektrik Makinalarında Harmonik ve Ara-Harmonik Analizi

Abstract

Elektrik enerjisinin üretimi, iletimi ve dağıtımında kalite koşullarının sağlanması, bir güç sisteminin sorunsuz çalışması için en önemli gerekliliklerden biridir. Özellikle teknolojik gelişmelere bağlı olarak sayıları artan hassas yükler için bu durum hayati önem taşımaktadır. Enterkonnekte sistem yapısı gereği üretim ve tüketim ünitelerinin birbirlerine bağlı olması, enerji kalitesi kavramının hem üretici hem de tüketiciler tarafından dikkate alınmasını gerektirir. Bu çalışmada, elektrik enerjisi üretiminin temel ünitelerinden biri olan sürekli mıknatıslı senkron generatörün harmonik ve ara-harmonik analizi yapılmıştır. Söz konusu analiz amacıyla tasarlanan generatör nominal çalışma koşulları altında çalıştırılmıştır. Çalışma kapsamında harmonik analizinin yanı sıra ara-harmonik analizi de yapılmıştır. Elde edilen sonuçlardan, bazı kademeler için ara-harmonik bozunum değerlerinin harmonik bozunuma göre daha yüksek olduğu tespit edilmiştir.

References

1. [1] Elektrik Üretim Sektör Raporu 2010, http://www.euas.gov.tr./Ocak 2011.
2. [2] Dalcalı, A., “A Comparative Study of PM Synchronous Generator for Micro Hydropower Plants”, Balkan Journal of Electrical and Computer Engineering, 9, 17-22, 2021.
3. [3] Hepbasli, A., Ozalp, N., "Present Status of Cogeneration", Energy Sources, 24(2), 169-177, 2002.
4. [4] TEİAŞ, https://www.teias.gov.tr/tr-TR/turkiye-elektrik-uretim-iletim-istatistikleri, Erişim: 11. 08.2021..
5. [5] Özbay, H., Dalcalı, A., “Effects of COVID-19 on electric energy consumption in Turkey and ANN-based short-term forecasting”, Turkish Journal of Electrical Engineering & Computer Sciences, 29, 78-97, 2021.
6. [6] https://enerji.gov.tr/eigm-raporlari, Erişim: 10.08.2021.
7. [7] Enerji Piyasası Düzenleme Kurulu (EPDK), “Elektrik Piyasası 2020 Yılı Piyasa Gelişim Raporu”, Ankara, 2021.
8. [8] Türkiye Cumhuriyeti Cumhurbaşkanlığı Strateji ve Bütçe Başkanlığı, On Birinci Kalkınma Planı (2019-2023), http://www.sbb.gov.tr/wp-content/uploads/2019/07/OnbirinciKalkinmaPlani.pdf, Erişim: 12/08/2021.

9. [9] Masoum M. A. S., Fuchs, E. F., “Power Quality in Power Systems and Electrical Machines”, Elsevier, USA, 2015
10. [10] Rüstemli, S., Cengiz, M. S., “Active filter solutions in energy systems”, Turkish J. Electr. Eng. Comput. Sci., 23, 1587–1607, 2015.
11. [11] Sankaran, C., “Power Quality,” CRC Press, USA, 2002.
12. [12] Moradi, A., Yaghoobi, J., Alduraibi, A., Zare, F., Kumar, D., Sharma, R., “Modelling and prediction of current harmonics generated by power converters in distribution networks”, IET Gener. Transm. Distrib. 15, 2191–2202, 2021.
13. [13] Kindl, V., Ferkova, Z., Cermak, R., “Spatial Harmonics in Multi-Phase Induction Machine”, 2020 ELEKTRO, Italy, 2020.
14. [14] Leonardo, L. D., Popescu, M., Tursini, M., Parasiliti, F., Carbonieri, M., “Transient Modeling of Induction Motors considering Space Harmonics”, International Conference on Electrical Machines (ICEM), 2553-2559- Sweden, 2020.
15. [15] Wakileh, G. J., “Harmonics in rotating machines”, Electric Power Systems Research, 66, 31-37, 2003.
16. [16] Efe, S. B., “Analysis of power system interharmonics,” International Engineering, Science and Education Conference, 1039–1042, 2016.
17. [17] Efe, S. B., “Harmonic filter application for an industrial installation,” 13th International Conference on Engineering of Modern Electric Systems, 31–34, 2015.
18. [18] Interharmonic Task Force Working Document, https://grouper.ieee.org/groups/harmonic/iharm/, Erişim: 28. 08. 2021.
19. [19] Hanzelka, Z., Bien, A., “Power Quality Application Guide- Harmonics, Interharmonics”, Copper Development Association, 2004.
20. [20] Fouladgar, J., Chauveau, E., The Influence of the Harmonics on the Temperature of Electrical Machines”, IEEE Transactions on Magnetics, 41(5), 1644- 1647, 2005
21. [21] Dlala, E., Bottauscio, O., Chiampi, M., Zucca, M., Belahcen, A., Arkkio, A., “Numerical Investigation of the Effects of Loading and Slot Harmonics on the Core Losses of Induction Machines”, IEEE Transactions on Magnetics, 48(2), 1063- 1066, 2012.
22. [22] Kindl, V., Cermak, R., Ferkova, Z., Skala, B., “Review of Time and Space Harmonics in Multi-Phase Induction Machine”, Energies, 13, 1-17, 2020.
23. [23] Mai, A., Wagner, B., Streit, F., “Elimination of Current Harmonics in Electrical Machines with Iterative Learning Control”, 10th International Electric Drives Production Conference, Germany, 2020.
24. [24] Gnaciński, P., Pepliński, M., Hallmann, D., “Currents and Power Losses of Induction Machine Under Voltage Interharmonics”, 21st European Conference on Power Electronics and Applications, Italy, 2019.
25. [25] Gnaciński, P., Pepliński, M., Murawski, L., Szeleziński, A., “Vibration of Induction Machine Supplied With Voltage Containing Subharmonics and Interharmonics”, IEEE Transactions on Energy Conversion, 34(4), 1928-1937, 2019.
26. [26] Gnaciński, P., Hallmann, D., Klimczak, P., Muc, A., Pepliński, M., “Effects of Voltage Interharmonics on Cage Induction Motors”, Energies, 14, 1-13, 2021.
27. [27] Fuchs, E. F., Roesler, D. J., Masoum, M. A. S. “Are Harmonic Recommendations According to IEEE and IEC Too Restrictive?”, IEEE Transactıons on Power Delivery, 19(4), 1775-1786, 2004.
28. [28] Ghaseminezhad, M., Doroudi, A., Hosseinian, S. H., Jalilian, A., “Analysis of voltage fluctuation impact on induction motors by an innovative equivalent circuit considering the speed changes”, IET Generation, Transmission & Distribution, 11(2), 512-519, 2017.
29. [29] Ghaseminezhad, M., Doroudi, A., Hosseinian, S. H., Jalilian, A., “An Investigation of Induction Motor Saturation under Voltage Fluctuation Conditions”, Journal of Magnetics 22(2), 306-314, 2017.