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Stability Analysis of Grid-Connected Inverters with an LCL Filter Considering Grid Impedance

  • Li, Xiao-Qiang (Dept. of Information and Electrical Eng., China University of Mining and Technology) ;
  • Wu, Xiao-Jie (Dept. of Information and Electrical Eng., China University of Mining and Technology) ;
  • Geng, Yi-Wen (Dept. of Information and Electrical Eng., China University of Mining and Technology) ;
  • Zhang, Qi (Dept. of Information and Electrical Eng., China University of Mining and Technology)
  • Received : 2013.03.07
  • Published : 2013.09.20

Abstract

Under high grid impedance conditions, it is difficult to guarantee the stability of grid-connected inverters with an LCL filter designed based on ideal grid conditions. In this paper, the theoretical basis for output impedance calculation is introduced. Based on the small-signal model, the d-d channel closed-loop output impedance models adopting the converter-side current control method and the grid-side current control method are derived, respectively. Specifically, this paper shows how to simplify the stability analysis which is usually complemented based on the generalized Nyquist stability criterion (GNC). The stability of each current-controlled grid-connected system is analyzed via the proposed simplified method. Moreover, the influence of the LCL parameters on the stability margin of grid-connected inverter controlled with converter-side current is studied. It is shown that the stability of grid-connected systems is fully determined by the d-d channel output admittance of the grid-connected inverter and the inductive component of the grid impedance. Experimental results validate the proposed theoretical stability analysis.

Keywords

References

  1. H. Langkowski, T. D. Thanh, K. D. Dettmann, and D. Schulz, "Grid impedance determination-relevancy for grid integration of renewable energy systems," in Conference of the IEEE Industrial Electronics Society (IECON'09), pp. 516-521, 2009.
  2. M. Liserre, R. Teodorescu, and F. Blaabjerg, "Stability of photovoltaic and wind turbine grid-connected inverters for a large set of grid impedance values," IEEE Trans. Power Electron., Vol. 21, No. 1, pp. 263-272, Jan. 2006. https://doi.org/10.1109/TPEL.2005.861185
  3. M. Liserre, R. Teodorescu, and F. Blaabjerg, "Stability of grid-connected PV inverters with large grid impedance variation," in Proc. IEEE 35th Annu. Power Electron. Spec. Conf., vol. 6, pp. 4773-4779, Jun. 2004.
  4. X. Feng, Z. Ye, K. Xing, F. C. Lee, and D. Borojevic, "Individual load impedance specification for a stable DC distributed power system," in Proc. IEEE APEC'99, pp. 923-929, 1999.
  5. C. Zhu and Y. Yan, "Improved impedance criterion," Journal of Nanjing University of Aeronautics & Astronautics, Vol. 38, No. 3, pp. 315-320, Jun. 2006.
  6. Q. Tong, D. Zhang, and D. Xu, "Output impedance and stability analysis of converters in distributed power systems," Proceedings of the CSEE, Vol. 31, No. 12, pp. 57-64, Apr. 2011.
  7. S. D. Sudhoff, S. F. Glover, P. T. Lamm, D. H. Schmucker, and D. E. Delisle, "Admittance space stability analysis of power electronic systems," IEEE Trans. Aerosp. Electron. Syst., Vol. 36, No. 3, pp. 965-973, Jul. 2000.
  8. J. Liu, X. Feng, F. C. Lee, and D. Borojevich, "Stability margin monitoring for distributed power systems via perturbation approaches," IEEE Trans. Power Electron., Vol. 18, No. 6, pp. 1254-1261, Nov. 2003. https://doi.org/10.1109/TPEL.2003.818822
  9. J. Sun, "Impedance-based stability criterion for gridconnected inverters," IEEE Trans. Power Electron., Vol. 26, No. 11, pp. 3075-3078, Nov. 2011. https://doi.org/10.1109/TPEL.2011.2136439
  10. S. Hiti, V. Vlatokovic, D. Boroyevich, and F. Lee, "A new control algorithm for three-phase PWM buck rectifier with input displacement factor compensation," IEEE Trans. Power Electron., Vol. 2, No. 2, pp. 173-180, Mar. 1994.
  11. M. Belkhayat. "Stability criteria for ac power systems with regulated loads," PhD. thesis, Purdue University, Dec. 1997.
  12. A. MacFarlane and I. Postlethwaite, "The generalized Nyquist stability criterion and multivariable loci," in Int. Jour of Control, Vol. 25, pp. 81-127, Jan. 1977. https://doi.org/10.1080/00207177708922217
  13. R. Burgos, D. Boroyevich, F. Wang, K.Karimi, and G. Francis, "On the ac stability of high power factor threephase rectifiers," in Proc. IEEE Energy Convers. Congr. Expo., pp. 2047-2054, Sep. 2010.
  14. S. Abe, M. Hirokawa, and T. Ninomiya, "Output impedance design consideration of three control schemes for bus converter in on-board distributed power system," in Proc. 2007 Power Electronics and Drive Systems, 2007. PEDS '07. 7th International Conference, pp. 1199-1204, 2007.
  15. F. Li, X. Zou, Y. Zou, J. Shi, Z. Wu, C. Wang, and J. Tang, "Input impedance analysis of LCL-filter PWM rectifier connected to grid", Transactions of China Electrotechnical Society, Vol. 25, No. 1, pp. 97-103, Jan. 2010.
  16. T. Wu and X. Ruan, "Input impedance analysis of load converters in the distributed power system," Proceedings of the CSEE, Vol. 28, No. 12, pp 20-25, Apr. 2008.
  17. T. Wu and X. Ruan, "Output impedance analysis of source converters in the dc distributed power system," Proceedings of the CSEE, Vol. 28, No. 3, pp 66-72, Jan. 2008.
  18. J. Wang, F. Zhang, C. Gong, and X. Chen, "Study of output impedance optimization for voltage mode control buck dc-dc converter," Transactions of China Electrotechnical Society, Vol. 22, No. 8, pp. 18-23, Aug. 2007.
  19. R. Ahmadi, D. Paschedag, and M. Ferdowsi, "Closed-loop input and output impedances of dc-dc switching converters operating in voltage and current mode control," in Proc. 36th Ann. Conf. IEEE Ind. Electron. Soc., pp. 2311-2316, Nov. 2010.
  20. M. Zhao, X. Yang, T. Liu, and J. Liu, "Modeling and stability analysis of a cascaded system composed of photovoltaic simulator and photovoltaic inverter," in Proc. 2012 Applied Power Electronics Conference and Exposition (APEC), 2012 Twenty-Seventh Annual IEEE, pp. 2167-2171, 2012.
  21. Y. A. Familiant, J. Huang, K. Corzine, and M. Belkhayat, "New techniques for measuring impedance characteristics of three-phase ac power systems," IEEE Trans. Power Electron., Vol. 24, No. 7, pp. 1802-1810, Jul. 2009. https://doi.org/10.1109/TPEL.2009.2016966
  22. J. Huang, K. A. Corzine, and M. Belkhayat, "Small-signal impedance measurement of power-electronics-based ac power systems using line-to-line current injection," IEEE Trans. Power Electron., Vol. 24, No. 2, pp. 445-455, Feb. 2009. https://doi.org/10.1109/TPEL.2008.2007212
  23. D. Xu, F. Wang, Y. Ruan, and H. Mao, "Output impedance modeling of grid-connected inverters considering nonlinear effects," in Proc. 2012 Control and Modeling for Power Electronics (COMPEL), 2012 IEEE 13th Workshop on, pp. 1-7, 2012.
  24. E. Figueres, G. Garcera, J. Sandia, F. Gonzalez-Espein, and J. C. Rubio, "Sensitivity study of the dynamics of threephase photovoltaic inverters with an LCL grid filter," IEEE Trans. Ind. Electron., Vol. 56, No. 3, pp. 706-717, Mar. 2009.
  25. J. Puukko, T. Messo, L. Nousiainen, J. Huusari, and T. Suntio, "Negative output impedance in three-phase gridconnected renewable energy source inverters based on reduced-order model," IET Renewable Power Generation Conf., in press, 2011.
  26. H. Mao, D. Boroyevich, and F. Lee, "Novel reduced-order small-signal model of a three-phase PWM rectifier and its application in control design and system analysis," IEEE Trans. Power Electron., Vol. 13, No. 3, pp. 511-521, May. 1998. https://doi.org/10.1109/63.668114
  27. V. Blasko and V. Kaura, "A new mathematical model and control of a three-phase ac-dc voltage source converter," IEEE Trans. Power Electron., Vol. 12, No. 1, pp. 511-521, Jan. 1997.

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