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Mechanism Analysis and Stabilization of Three-Phase Grid-Inverter Systems Considering Frequency Coupling

  • Wang, Guoning (State Key Laboratory of Power Transmission Equipment and System Security and New Technology, Chongqing University) ;
  • Du, Xiong (State Key Laboratory of Power Transmission Equipment and System Security and New Technology, Chongqing University) ;
  • Shi, Ying (School of Automation Engineering, Chongqing University) ;
  • Tai, Heng-Ming (Department of Electrical and Computer Engineering, University of Tulsa) ;
  • Ji, Yongliang (Electric Power Research Institute of State Grid Chongqing Electric Power Company)
  • Received : 2017.08.18
  • Accepted : 2017.12.20
  • Published : 2018.05.20

Abstract

Frequency coupling in the phase domain is a recently reported phenomenon for phase locked loop (PLL) based three-phase grid-inverter systems. This paper investigates the mechanism and stabilization method for the frequency coupling to the stability of grid-inverter systems. Self and accompanying admittance models are employed to represent the frequency coupling characteristics of the inverter, and a small signal equivalent circuit of a grid-inverter system is set up to reveal the mechanism of the frequency coupling to the system stability. The analysis reveals that the equivalent inverter admittance is changed due to the frequency coupling of the inverter, and the system stability is affected. In the end, retuning the bandwidth of the phase locked loop is presented to stabilize the three-phase grid-inverter system. Experimental results are given to verify the analysis and the stabilization scheme.

Keywords

References

  1. Z. Liu, J. Liu, W. Bao, and Y. Zhao, "Infinity-norm of impedance-based stability criterion for three-phase ac distributed power systems with constant power loads," IEEE Trans. Power Electron., Vol. 30, No. 6, pp. 3030-3043, Jun. 2015. https://doi.org/10.1109/TPEL.2014.2331419
  2. L. Harnefors, A. Antonopoulos, K. Ilves, and H. P. Nee, "Global asymptotic stability of current-controlled modular multilevel converters," IEEE Trans. Power Electron., Vol. 30, No. 1, pp. 249-258, Feb. 2015. https://doi.org/10.1109/TPEL.2014.2298560
  3. P. Shamsi and B. Fahimi, "Dynamic behavior of multiport power electronic interface under source/load disturbances," IEEE Trans. Ind. Electron., Vol. 60, No. 10, pp. 4500-4511, Oct. 2013. https://doi.org/10.1109/TIE.2012.2210376
  4. N. Bottrell, M. Prodanovic, and T. C. Green, "Dynamic stability of a microgrid with an active load," IEEE Trans. Power Electron., Vol. 28, No. 11, pp. 5107-5119, Nov. 2013. https://doi.org/10.1109/TPEL.2013.2241455
  5. A. Emadi, "Modeling and analysis of multiconverter DC power electronic systems using the generalized state-space averaging method," IEEE Trans. Ind. Electron., Vol. 51, No. 3, pp. 661-668, Jun. 2004. https://doi.org/10.1109/TIE.2004.825339
  6. B. Wen, D. Dong, D. Boroyevich, R. Burgos, P. Mattavelli, and Z. Shen, "Impedance-based analysis of grid-synchronization stability for three-phase paralleled converters," IEEE Trans. Power Electron., Vol. 31, No. 1, pp. 26-38, Jan. 2016. https://doi.org/10.1109/TPEL.2015.2419712
  7. T. Messo, A. Aapro, and T. Suntio, "Generalized multivariable small-signal model of three-phase grid-connected inverter in DQ-domain," in Proc. IEEE 16th Workshop on Control and Modeling for Power Electronics (COMPEL), pp. 1-8, 2015.
  8. M. Cespedes and J. Sun, "Impedance modeling and analysis of grid connected voltage-source converters," IEEE Trans. Power Electron., Vol. 29, No. 3, pp. 1254-1261, Mar. 2014. https://doi.org/10.1109/TPEL.2013.2262473
  9. B. Wen, D. Boroyevich, R. Burgos, P. Mattavelli, and Z. Shen, "Inverse Nyquist stability criterion for grid-tied inverters," IEEE Trans. Power Electron., Vol. 32, No. 2, pp. 1548-1556, Feb. 2017. https://doi.org/10.1109/TPEL.2016.2545871
  10. S. Vesti, T. Suntio, J. A. Oliver, R. Prieto, and J. A. Cobos, "Impedance-based stability and transient-performance assessment applying maximum peak criteria," IEEE Trans. Power Electron., Vol. 28, No. 5, pp. 2099-2104, May 2013. https://doi.org/10.1109/TPEL.2012.2220157
  11. B. Wen, D. Boroyevich, R. Burgos, P. Mattavelli, and Z. Y. Shen, "Analysis of D-Q small-signal impedance of grid-tied inverters," IEEE Trans. Power Electron., Vol. 31, No. 1, pp. 675-687, Jan. 2016. https://doi.org/10.1109/TPEL.2015.2398192
  12. Z. Liu, J. Liu, X. Hou, Q. Dou, D. Xue, and T. Liu, "Output impedance modeling and stability prediction of three-phase paralleled inverters with master-slave sharing scheme based on terminal characteristics of individual inverters," IEEE Trans. Power Electron., Vol. 31, No. 7, pp. 5306-5320, Jul. 2016. https://doi.org/10.1109/TPEL.2015.2483741
  13. D. Dong, B. Wen, D. Boroyevich, P. Mattavelli, and Y. S. Xue, "Analysis of phase-locked loop low-frequency stability in three-phase grid-connected power converters considering impedance interactions," IEEE Trans. Ind. Electron., Vol. 62, No. 1, pp. 310-321, Jan. 2015. https://doi.org/10.1109/TIE.2014.2334665
  14. M. Cespedes and J. Sun, "Three-phase impedance measurement for system stability analysis," in Proc. IEEE 14th Workshop Control and Modeling for Power Electronics (COMPEL), pp. 1-6, 2013.
  15. M. K. Bakhshizadeh, X. Wang, F. Blaabjerg, J. Hjerrild, L. Kocewiak, C. L. Bak, and B. Hesselbaek, "Couplings in phase domain impedance modeling of grid-connected converters," IEEE Trans. Power Electron., Vol. 31, No. 10, pp. 6792-6796, Oct. 2016. https://doi.org/10.1109/TPEL.2016.2542244
  16. A. Rygg, M. Molinas, C. Zhang, and X. Cai, "A modified sequence-domain impedance definition and its equivalence to the dq-domain impedance definition for the stability analysis of ac power electronic systems," IEEE J. Emerg. Sel. Topic Power Electron., Vol. 4, No. 4, pp. 1383-1396, Dec. 2016. https://doi.org/10.1109/JESTPE.2016.2588733
  17. I. Vieto, X. Du, H. Nian, and J. Sun, "Frequency-domain coupling in two-level VSC small-signal dynamics," in Proc. 17th Workshop on Control and Modeling for Power Electronics (COMPEL), pp. 1-8, 2017.
  18. X. Du, G. Wang, Y. Shi, Y. Yang, X. Zou, H.-M. Tai, and Y. Ji, "Using asymmetric current controller to improve the stability of grid-inverter system due to PLL effect," in Proc. 17th Workshop on Control and Modeling for Power Electronics (COMPEL), pp. 1-8, 2017.
  19. H. Wu, X. Ruan, and D. Yang, "Research on the stability caused by phase-locked loop for LCL-type grid-connected inverter in weak grid condition," in Proc. the Chinese Society for Electrical Engineering, Vol. 34, No. 30, pp. 5259-5268, Oct. 2014 (in Chinese).