volume | PIER Journals

Abstract

Aiming at the operation stability of transformer with harmonic invasion in offshore wind farm, the evolution and propagation of electromagnetic-solid-acoustic information are studied. Combined with the measured data of invasive harmonic currents, it is found that the proportions of the 5th and 7th harmonics are larger than those of other harmonics. A multi-physical field propagation and information extraction method for transformer is proposed based on the principle of electromagnetic-solid-acoustic coupling. Then, the magnetic density, force, vibration, and noise characteristics of components with harmonic invasion are analyzed. The results show that the increase of harmonics intensifies the vibration and noise of transformer in the same load. In the same harmonic proportion, the waveform distortion of the multi-physical characteristic parameters caused by the 7th harmonic is more significant than the 5th. Moreover, the vibration and noise intensify with rising load factor in the same harmonic invasion mode. Meanwhile, the dynamic experimental platforms are built to measure multi-physics field information in different modes. By comparing the experimental data and simulation result, the accuracy of proposed method can be verified. Furthermore, the 5th harmonic is selected as the typical characterization parameter to study the mapping relationship between harmonics and vibration characteristics. The criteria for disturbed destabilization are formulated, providing new ideas for the life cycle operation and maintenance of offshore wind transformer.

1. Tao, Shun, Xinyi Zhu, Shaobo Xu, and Yonghai Xu, "Modeling of coupled harmonic current source for grid-connected inverters," IEEE Transactions on Power Electronics, Vol. 39, No. 10, 13720-13732, Oct. 2024. Google Scholar

2. Jiang, Zimin and Yutian Liu, "On the feasibility of harmonic adaptability remote testing method," IEEE Transactions on Instrumentation and Measurement, Vol. 69, No. 10, 8156-8166, Oct. 2020. Google Scholar

3. Refaie Ali, Ahmed, Harun Or Roshid, Shariful Islam, and Asma Khatun, "Analyzing bifurcation, stability, and wave solutions in nonlinear telecommunications models using transmission lines, Hamiltonian and Jacobian techniques," Scientific Reports, Vol. 14, 15282, 2024.
doi:10.1038/s41598-024-64788-w Google Scholar

4. Wang, Chen, Jin Fang, Xu Liao, Xiu Wang, Yuanting Zan, and Zhaopeng Xiao, "Study on the influence of HTS strip and harmonics on AC loss of HTS transformer," IEEE Transactions on Applied Superconductivity, Vol. 34, No. 8, 1-4, Nov. 2024. Google Scholar

5. Liu, Qianyi, Fang Liu, Yi Yang, Yanjian Peng, Kang-Zhi Liu, and Ao Wang, "A novel transformer winding design strategy for efficiency improvement and harmonic suppression in industrial power system," Protection and Control of Modern Power Systems, Vol. 9, No. 6, 30-41, 2024.
doi:10.23919/PCMP.2023.000302 Google Scholar

6. Gong, Wenjie, Zhigao Zhang, Ruifen Hou, Hui Wang, Zhiyi Xu, Anli Lin, Jian He, Wen Fan, and Jingping Wang, "Magnetostriction and the influence of harmonics in flux density in electrical steel," IEEE Transactions on Magnetics, Vol. 51, No. 11, 1-4, Nov. 2015. Google Scholar

7. Xu, Fangwei, Hongru Zheng, Huaqiang Li, Zhiquan Ma, and Qin Shu, "Study on the quantitative relationship between harmonic amplification and cable length," IEEE Access, Vol. 8, 152611-152619, 2020.
doi:10.1109/ACCESS.2020.3015221 Google Scholar

8. Zhang, Shao, Shuai Jiang, Xi Lu, Baoming Ge, and Fang Zheng Peng, "Resonance issues and damping techniques for grid-connected inverters with long transmission cable," IEEE Transactions on Power Electronics, Vol. 29, No. 1, 110-120, Jan. 2014. Google Scholar

9. Wang, Chen, Jin Fang, Xu Liao, Xiu Wang, Yuanting Zan, and Zhaopeng Xiao, "Study on the influence of HTS strip and harmonics on AC loss of HTS transformer," IEEE Transactions on Applied Superconductivity, Vol. 34, No. 8, 1-4, Nov. 2024. Google Scholar

10. Pejovski, Dejan, Krste Najdenkoski, and Mihail Digalovski, "Impact of different harmonic loads on distribution transformers," Procedia Engineering, Vol. 202, 76-87, 2017. Google Scholar

11. Cheah-Mane, Marc, Luis Sainz, Eduardo Prieto-Araujo, and Oriol Gomis-Bellmunt, "Impedance-based analysis of harmonic instabilities in HVDC-connected Offshore Wind Power Plants," International Journal of Electrical Power & Energy Systems, Vol. 106, 420-431, 2019.
doi:10.1016/j.ijepes.2018.10.031 Google Scholar

12. Kocewiak, Łukasz Hubert, Iván Arana Aristi, Bjørn Gustavsen, and Andrzej Hołdyk, "Modelling of wind power plant transmission system for harmonic propagation and small‐signal stability studies," IET Renewable Power Generation, Vol. 13, No. 5, 717-724, 2019.
doi:10.1049/iet-rpg.2018.5077 Google Scholar

13. Kalair, A., N. Abas, A. R. Kalair, Z. Saleem, and N. Khan, "Review of harmonic analysis, modeling and mitigation techniques," Renewable and Sustainable Energy Reviews, Vol. 78, 1152-1187, 2017.
doi:10.1016/j.rser.2017.04.121 Google Scholar

14. Islam, Shariful, Bishnupada Halder, and Ahmed Refaie Ali, "Optical and rogue type soliton solutions of the (2 + 1) dimensional nonlinear Heisenberg ferromagnetic spin chains equation," Scientific Reports, Vol. 13, 9906, 2023.
doi:10.1038/s41598-023-36536-z Google Scholar

15. Pan, Chao, Shuangyuan Yi, Hao Su, and Wenxin Shi, "Excitation–vibration harmonic response research of transformer in DC biasing operation," IET Electric Power Applications, Vol. 13, No. 3, 410-417, 2019.
doi:10.1049/iet-epa.2018.5203 Google Scholar

16. Zhao, Xiaozhen, Chenguo Yao, Cheng Zhang, and A. Abu-Siada, "Toward reliable interpretation of power transformer sweep frequency impedance signatures: Experimental analysis," IEEE Electrical Insulation Magazine, Vol. 34, No. 2, 40-51, Mar.-Apr. 2018. Google Scholar

17. Refaie Ali, A., N. T. M. Eldabe, A. E. H. Abd El Naby, M. Ibrahim, and O. M. Abo-Seida, "EM wave propagation within plasma-filled rectangular waveguide using fractional space and LFD," The European Physical Journal Special Topics, Vol. 232, No. 14, 2531-2537, 2023.
doi:10.1140/epjs/s11734-023-00934-1 Google Scholar

18. Yang, Xiao-Jun, Abdulrahman Ali Alsolami, and Ahmed Refaie Ali, "An even entire function of order one is a special solution for a classical wave equation in one-dimensional space," Thermal Science, Vol. 27, 491-495, 2023.
doi:10.2298/TSCI221111008Y Google Scholar

19. Refaie Ali, Ahmed, Md. Nur Alam, and Mst. Wahida Parven, "Unveiling optical soliton solutions and bifurcation analysis in the space-time fractional Fokas-Lenells equation via SSE approach," Scientific Reports, Vol. 14, 2000, 2024.
doi:10.1038/s41598-024-52308-9 Google Scholar

20. IEC 60076-10, "Power transformers-part 10: Determination of sound levels," International Standard, 2001. Google Scholar

21. Guest, Emerson, Kim H. Jensen, and Tonny W. Rasmussen, "Mitigation of harmonic voltage amplification in offshore wind power plants by wind turbines with embedded active filters," IEEE Transactions on Sustainable Energy, Vol. 11, No. 2, 785-794, 2020.
doi:10.1109/TSTE.2019.2906797 Google Scholar

22. Wang, Yaqi, Lin Li, Jia’an Sun, and Xiaojun Zhao, "A magnetic-mechanical strong coupling FEM model and vibration characteristic analysis of transformer core under DC bias," Journal of Applied Physics, Vol. 134, No. 24, 244504, Dec. 2023. Google Scholar

Dr. Chao Pan

Dr. Tongrui Fu

Dr. Jingge An

Dr. Diyao Jiang