Mathematical modeling of PMSG-based wind power plants for harmonic resonance studies and analytical assessment of wind turbine converters' controls on the harmonic resonance response of the plants

Document Type : Article

Authors

Department of Electrical and Computer Engineering, University of Kashan, Kashan, P.O. Box 87317-53153, Iran

Abstract

In this paper harmonic resonance analysis of the grid comprising wind power plants (WPPs) with permanent magnet synchronous generators (PMSGs) is presented. Usually, Norton equivalent circuit is used as the wind turbine (WT) model for harmonic resonance studies, in which, WTs are simply modeled as ideal current and voltage sources and impacts of converters controls on the WTs output impedances are neglected. This paper deals with the harmonic resonance analysis of study WPP system taking the impacts of converters controls, and current and voltage measurement filters into account. In this way, harmonic impedance models of the WTs are presented for simple and detailed cases, and then WT harmonic impedance is extracted for the mentioned cases. Next, results of frequency scan and harmonic mode resonance analyses for different cases are given and compared, and then effects of the current and voltage measurements filters and WT converter control on harmonic resonance analysis of the study WPP system are presented. It is shown that increasing the bandwidth of the grid-side converter current control loop can not shift the resonant frequencies, but enhances the system damping, and consequently reduces the driving point impedances in the resonant frequencies.

Keywords


References:
1. Jahanpour-Dehkordi, M., Vaez-Zadeh, S., and Mohammadi, J. "Development of a combined control system to improve the performance of a PMSG-based wind energy conversion system under normal and grid fault conditions", IEEE Trans. Energy Conversion, 34(3), pp. 1287-1295 (2019).
2. Liu, H., Xie, X., He, J., et al. "Sub synchronous interaction between direct-drive PMSG based wind farms and weak AC networks", IEEE Trans. Power Systems, 32(6), pp. 4708-4720 (2017).
3. Du, W., Dong, W., and Wang, H.F. "Small-signal stability limit of a grid-connected PMSG wind farm dominated by the dynamics of PLLs", IEEE Trans. Power Systems, 35(3), pp. 2093-2107 (2020).
4. He, J., Huang, L., Wu, D., et al. "Frequency support from PMSG-based wind turbines with reduced DC-link voltage fluctuations", CES Trans. Electrical Machines and Systems, 2(3), pp. 296-302 (2018).
5. Das, S. and Subudhi, B. "A H1 robust active and reactive power control scheme for a PMSG-based wind energy conversion system", IEEE Trans. Energy Conversion, 33(3), pp. 980-990 (2018).
6. Rahimi, M. "Modeling, control and stability analysis of grid connected PMSG based wind turbine assisted with diode rectifier and boost converter", Electrical Power and Energy Systems-Elsevier, 93, pp. 84-96 (2017).
7. Kocewiak, L., Bak, L., and Hjerrild, J. "Harmonic  aspects of offshore wind farms", PhD Seminar on Detailed Modelling and Validation of Electrical Components and Systems, Fredericia, Denmark (2010).
8. Bradt, M., Badrzadeh, B., Camm, E., et al. "Harmonics and resonance issues in wind power plants", IEEE Power and Energy Society-Wind Plant Collector System Design Working Group (2010).
9. Nisak, K., Candela, I., Rauma, K., et al. "An overview of harmonic analysis and resonances of a large wind power plant", Annual Conf. IEEE Industrial Electronics Society, (7-10 November 2011).
10. Kocewiak, L.H., Harmonics in Large Offshore Wind Farms, Ph.D. Dissertation, Dept. Energy Tech., Aalborg Univ., Aalborg, Denmark (2012).
11. Bollen, M.H.J. and Yang, K. "Harmonic aspects of wind power integration", J. Modern Power Syst. Clean Energy, 1(1), pp. 14-21 (Jun. 2013).
12. Badrzadeh, B. and Gupta, M. "Power system harmonic analysis in wind power plants-Part II: Practical experiences and mitigation methods", In Conf. Rec. IEEE IAS Annu. Meeting, pp. 1-8 (2012).
13. Zheng, R. and Bollen, M.H.J. "Harmonic resonances associated with wind farms", Dept. Eng. Sci. and Math., Lulea Univ. of Tech., Lulea, Sweden,Tech. Rep. (Jul. 2010).
14. Wakileh, G.J., Power System Harmonics- Fundamentals, Analysis and Filter Design, Springer (2001).
15. Li, J., Samaan, N., and Williams, S. "Modeling of large wind farm systems for dynamic and harmonics analysis", Transmission and Distribution Conference and Exposition, T&D, IEEE/PES, pp. 1-7 (2008).
16. Bradt, M., Badrzadeh, B., Camm, E., et al. "Harmonics and resonance issues in wind power plants", In Proc. IEEE PES Gen. Meet., pp. 1-8 (2011).
17. Caixia, Y., Kaipei, L., and Dongxu, W. "Harmonic resonance circuit's modeling and simulation", Power and Energy Engineering Conference, pp. 1-5 (2009).
18. Lay, D.C. "Linear algebra and its applications", ISBN: 0321314859, Boston:Pearson/Addison-Wesley (2006).
19. Esmaili, M., Ali Shayanfar, H., and Jalilian, A. "Modal analysis of power systems to mitigate harmonic resonance considering load models", Energy, 33, pp. 1361- 1368 (2008).
20. Binti, K.N., Rauma, K., Luna, A., et al. "Harmonic compensation analysis in offshore wind power plants using hybrid filters", IEEE Trans. Industry Applications, 50(3), pp. 2050-2060 (2014).
21. Ruma, K. "Electrical resonances and harmonics in a wind power plant", MSc. Thesis, Dept. Energy Tech., Aalborg Univ., Aalborg, Denmark (2012).
22. Kocewiak, L.H., Kramer, B.L.O., Holmstrom, O., et al. "Resonance damping in array cable systems by wind turbine active filtering in large offshore wind power plants", IET Renew. Power Gener, 11(7), pp. 1069- 1077 (2017).
23. Md. Hasan, K.N.B., Rauma, K., Luna, A., et al. "Harmonic compensation analysis in offshore wind power plants using hybrid filters", IEEE Trans. Ind. Applications, 50(3), pp. 2050-2060 (2014).
24. Liu, H. and Sun, J. "Voltage stability and control of offshore wind farms with AC collection and HVDC transmission", IEEE Journal of Emerging and Selected Topics in Power Electronics, 2(4), pp. 1181-1189 (2014).
25. Vargas, U. and Ramirez, A. "Extended harmonic domain model of a wind turbine generator for harmonic transient analysis", IEEE Trans. Power Delivery, 31(3), pp. 1360-1368 (2016).
26. Buchhagen, C., Rauscher, C., Menze, A., et al. "First experiences with harmonic interactions in converter dominated grids", International ETG Congress, pp. 1- 7 (2015).
27. Chen, X. and Sun, J. "A study of renewable energy systems harmonic resonance based on a DG test-bed", 26th IEEE Applied Power Electronics Conference and Exposition, pp. 995-1002 (2011).
28. Harnefors, L., Bongiorno, M., and Lundberg, S. "Input-admittance calculation and shaping for controlled voltage source converters", IEEE Trans. Ind. Elec., 54, pp. 3323-3334 (2007).
29. Cespedes, M. and Sun, J. "Modeling and mitigation of harmonic resonance between wind turbines and the grid", Proc. IEEE Energy Conversion Congress and Exposition, pp. 2109-2116 (2011).
30. Cespedes, M. and Sun, J. "Impedance modeling and analysis of grid-connected voltage-source converters", IEEE Trans. Power Electronics, 29(3), pp. 1254-1261 (2014).
31. Wang, X., Blaabjerg, F., and Wu, W. "Modeling and analysis of harmonic stability in an AC powerelectronics- based power system", IEEE Trans. Power Electronics, 29, pp. 6421-6432 (2014).
32. Bayo-Salas, A., Beertenyz, J., Rimez, J., et al.  "Impedance-based stability assessment of parallel VSC HVDC grid connections", 11th IET Int. Conf. on AC and DC Power Transmission, pp. 1-9 (Feb. 2015).
33. Liu, Z., Rong, J., Zhao, G., and Luo, Y. "Harmonic assessment for wind parks based on sensitivity analysis", IEEE Trans Sustainable Energy, 8(4), pp. 1373-1382 (2017).
34. Axelsson, U., Holm, U., Bollen, M., et al. "Propagation of harmonic emission from the turbines through the collection grid to the public grid", Proc. 22nd Int. Conf. and Exhibition on Electricity Distribution (CIRED 2013), pp. 1-4 (2013).
35. Zheng, R., Bollen, M., and Zhong, J. "Harmonic resonances due to a grid-connected wind farm", 14th Int. Conf. Harmonics and Quality of Power, pp. 1-7 (Sept. 2010).
36. Sainz, L., Monjo, L., Pedra, J., et al. "Effect of wind turbine converter control on wind power plant harmonic response and resonances", IET Electric Power Applications, 11(2), pp. 157-168 (2016).
37. Ebrahimzadeh, E., Blaabjerg, F., Wang, X., et al. "Reducing harmonic instability and resonance problems in PMSG based wind farms", IEEE Journal of Emerging and Selected Topics in Power Electronics, 6(1), pp. 73- 83 (2018).
38. Zhang, S., Jiang, S., Lu, X., et al. "Resonance issues and damping techniques for grid-connected inverters with long transmission cable", IEEE Trans. Power Elec., 29(1), pp. 110-120 (2014).
39. Lukasz, H.K., Hjerrild, J., and Bak, C.L. "Harmonic models of a back-to-back converter in large offshore wind farms compared with measurement data", Nordic Power Conference, Denmark (2009).
40. Patel, D., Varma, R.K., Seethapathy, R., et al. "Impact of wind turbine generators on network resonance and harmonic distortion", Canadian Conf. on Electrical and Computer Engineering (CCECE) (May, 2010).
41. Sankaran, C., Power Quality, Boca Raton, FL: CRC Press (2002). 42. Chang, C., Chan, S., and Teng, J. "A fast method for driving point impedance calculation of unbalanced distribution system", IEEE International Conference on Systems & Signals (ICSS 2005), pp. 134-138 (2005).
43. Lukasz, H.K., Hjerrild, J., and Bak, C.L. "Wind farm structures impact on harmonic emission and grid interaction", European Wind Energy Conference, Poland (2010).
44. Esmaili, M., Shayanfar, H.A., and Jalilian, A. "Modal analysis of power system to mitigate harmonic resonance considering load models", Energy, 33, pp. 1361- 1368 (2008).
45. Nisak, K., Candela, I., Rauma, K., et al. "An overview of harmonic analysis and resonances of a large wind power plant", Annual Conf. IEEE Ind. Elec. Society (2011).
46. Beiki, A. and Rahimi, M. "An efficient sensorless approach for energy conversion enhancement and damping response improvement in permanent magnet synchronous generator (PMSG) based wind turbines", Int Trans Electr Energ Syst., 29(1), pp. 1-18 (2019).
Volume 30, Issue 3
Transactions on Computer Science & Engineering and Electrical Engineering (D)
May and June 2023
Pages 1106-1126
  • Receive Date: 01 January 2021
  • Revise Date: 27 June 2021
  • Accept Date: 01 November 2021