Journal of Power Electronics

The Korean Institute of Power Electronics (전력전자학회)
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Modal Analysis of Resonance and Stable Domain Calculation of Active Damping in Multi-inverter Grid-connected Systems

  • Wu, Jian (School of Electrical Engineering and Automation, Harbin Institute of Technology) ;
  • Chen, Tao (School of Electrical Engineering and Automation, Harbin Institute of Technology) ;
  • Han, Wanqin (School of Electrical Engineering and Automation, Harbin Institute of Technology) ;
  • Zhao, Jiaqi (School of Electrical Engineering and Automation, Harbin Institute of Technology) ;
  • Li, Binbin (School of Electrical Engineering and Automation, Harbin Institute of Technology) ;
  • Xu, Dianguo (School of Electrical Engineering and Automation, Harbin Institute of Technology)
  • Received : 2017.05.26
  • Accepted : 2017.09.25
  • Published : 2018.01.20
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Abstract

Interaction among multiple grid-connected inverters has a negative impact on the stable operations and power quality of a power grid. The interrelated influences of inverter inductor-capacitor-inductor filters constitute a high-order power network, and consequently, excite complex resonances at various frequencies. This study first establishes a micro-grid admittance matrix, in which inverters use deadbeat control. Multiple resonances can then be evaluated via modal analysis. For the active damping method applied to deadbeat control, the sampling frequency and the stable domain of the virtual damping ratio are also presented by analyzing system stability in the discrete domain. Simulation and experimental results confirm the efficiency of modal analysis and stable domain calculation in multi-inverter grid-connected systems.

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References

  1. L. Wang, H. Gao, and G. Zou, "Modeling methodology and fault simulation of distribution networks integrated with inverter-based DG," Protection and Control of Modern Power Systems, Vol. 2, No. 31, pp. 1-9, Aug. 2017. https://doi.org/10.1186/s41601-016-0032-y
  2. W. Guo and L. Mu, “Control principles of micro-source inverters used in microgrid,” Protection and Control of Modern Power Systems, Vol. 1, No. 5, pp. 1-7, Jun. 2016. https://doi.org/10.1186/s41601-016-0016-y
  3. J. M. Carrasco, L. G. Franquelo, J. T. Bialasiewwicz, E. Galvan, R. C.P. Guisado, M. A. M. Prats, J. I. Leon, and N. Moreno-Alfonso, “Power electronic systems for the grid integration of renewable energy sources: A survey,” IEEE Trans. Ind. Electron., Vol. 53, No. 4, pp. 1002-1016, Jun. 2006. https://doi.org/10.1109/TIE.2006.878356
  4. M. H. Bierhoff and F. W. Fuchs, “Active damping for three-phase PWM rectifiers with high-order line-side filters,” IEEE Trans. Ind. Electron., Vol. 56, No. 2, pp. 371-379, Feb. 2009. https://doi.org/10.1109/TIE.2008.2007950
  5. E. Wu and P. W. Lehn, “Digital current control of a voltage source converter with active damping of LCL resonance,” IEEE Trans. Power Electron., Vol. 21, No. 5, pp. 1364-1373, Sep. 2006. https://doi.org/10.1109/TPEL.2006.880271
  6. J. Dannehl, F. W. Fuchs, S. Hansen, and P. B. Thogersen, “Investigation of active damping approaches for PI-based current control of grid-connected pulse width modulation converters with LCL filters,” IEEE Trans. Ind. Applicat., Vol. 46, No. 4, pp. 1509-1517, Jul./Aug. 2010. https://doi.org/10.1109/TIA.2010.2049974
  7. J. R. Massing, M. Stefanello, H. A. Grundling, and H. Pinheiro, "Adaptive current control for grid-connected converters with LCL filter," IEEE Trans. Ind. Electron., Vol. 59, No. 12, pp.4681-4693, Dec. 2012. https://doi.org/10.1109/TIE.2011.2177610
  8. J. H. R. Enslin and P. J. M. Heskes, “Harmonic interaction between a large number of distributed power inverters and the distributed network,” IEEE Trans. Power Electron., Vol. 19, No. 6, pp. 1586-1593, Nov. 2004. https://doi.org/10.1109/TPEL.2004.836615
  9. J. L. Agorreta, M. Borrega, J. Lopez, and L. Marroyo, “Modeling and control of N-paralleled grid-connected inverters with LCL filters coupled due to grid impedance in PV plants,” IEEE Trans. Ind. Electron., Vol. 26, No. 3, pp. 770-785, Mar. 2011.
  10. F. Wang, J. L. Duarte, M. A. M. Hendrix, and P. F. Ribeiro, "Modeling and analysis of grid harmonic distortion impact of aggregated DG inverters," IEEE Trans. Power Electron., Vol. 26, No. 3, pp.786-797, Mar. 2011. https://doi.org/10.1109/TPEL.2010.2091286
  11. X. Wang, F. Blaabjerg, and W. Wu, “Modeling and analysis of harmonic stability in an AC power-electronics-based power system,” IEEE Trans. Power Electron., Vol. 29, No. 12, pp. 6421-6432, Dec. 2014. https://doi.org/10.1109/TPEL.2014.2306432
  12. J. He, Y. Li, D. Bosnjak, and B. Harris, “Investigation and active damping of multiple resonances in a parallelinverter- based microgrid,” IEEE Trans. Power Electron., Vol. 28, No. 1, pp. 234-246, Jan. 2013. https://doi.org/10.1109/TPEL.2012.2195032
  13. Q. N. Trinh and H. H. Lee, “An advanced current control strategy for three-phase shunt active power filters,” IEEE Trans. Ind. Electron., Vol. 60, No. 12, pp. 5400-5410, Dec. 2013. https://doi.org/10.1109/TIE.2012.2229677
  14. N. Prabhakar and M. K. Mishra, "Dynamic hysteresis current control to minimize switching for three-phase four-Leg VSI topology to compensate nonlinear load," IEEE Trans. Power Electron., Vol. 25, No. 8, pp.1935-1942, Aug. 2010. https://doi.org/10.1109/TPEL.2009.2036616
  15. F. Wu, B. Sun, K. Zhao, and L. Sun, “Analysis and solution of current zero-crossing distortion with unipolar deadbeat current control in grid-connected inverter,” IEEE Trans. Ind. Electron., Vol. 60, No. 10, pp. 4450-4457, Oct. 2013. https://doi.org/10.1109/TIE.2012.2217720
  16. Y. Cui and W. Xu, "Harmonic resonance mode analysis using real symmetrical nodal matrices," IEEE Trans. Power Del., Vol. 22, No. 3, pp.1989-1990, Jul. 2007. https://doi.org/10.1109/TPWRD.2007.899481
  17. Z. Huang, Y. Cui, and W. Xu, “Application of modal sensitivity for power system harmonic resonance analysis,” IEEE Trans. Power Del., Vol. 22, No. 1, pp. 222-231, Jan. 2011.
  18. Y. Cui and X. Wang, "Modal frequency sensitivity for power system harmonic resonance analysis," IEEE Trans. Power Del., Vol. 27, No. 2, pp.1010-1017, Apr. 2012. https://doi.org/10.1109/TPWRD.2012.2185520