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Analysis of Current Control Stability using PI Control in Synchronous Reference Frame for Grid-Connected Inverter with LCL Filter
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 Title & Authors
Analysis of Current Control Stability using PI Control in Synchronous Reference Frame for Grid-Connected Inverter with LCL Filter
Jo, Jongmin; Lee, Taejin; Yun, Donghyun; Cha, Hanju;
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 Abstract
In this paper, current control using PI controller in the synchronous reference frame is analyzed through the relationship among bandwidth, resonance frequency, and sampling frequency in the grid-connected inverter with LCL filter. Stability is investigated by using bode plot in frequency domain and root locus in discrete domain. The feedback variable is the grid current, which is regulated by the PI controller in the synchronous reference frame. System delay is modeled as 1.5Ts, which contains computational and PWM modulator delay. Two resonance frequencies are given at 815 Hz and 3.16 kHz from LCL filter parameters. Sufficient phase and gain margins can be obtained to guarantee stable current control, in case that resonance frequency is above one-sixth of the sampling frequency. Unstable current control is performed when resonance frequency is below one-sixth of the sampling frequency. Analysis results of stability from frequency response and discrete response is the same regardless of resonance frequency. Finally, stability of current control based on theoretical analysis is clearly verified through simulation and experiment in grid-connected inverters with LCL filter.
 Keywords
LCL filter;Grid-connected inverter;Current control;Stability analysis;
 Language
Korean
 Cited by
 References
1.
F. Blaabjerg, R. Teodorescu, M. Liserre, and A. V. Timbus, "Overview of control and grid synchronization for distributed power generation systems," IEEE Trans. Ind. Electron., Vol. 53, No. 5, pp. 1398-1409, Oct. 2006.

2.
M. Liserre, A. Dell' Aquila, and F. Blaabjerg, "Stability improvements of an LCL-filter based three-phase active rectifier," in Proc. PESC'02, pp. 1195-1201, Jun. 2002.

3.
R. P. Alzola, M. Liserre, F. Blaabjerg, R. Sebastian, J. Dannehl, and F. W. Fuchs, "Analysis of the passive damping losses in LCL-filter-based grid converter," IEEE Trans. Power Electron., Vol. 28, No. 6, pp. 2642-2646, Jun. 2013. crossref(new window)

4.
B. W. An, H. K. Shin, H. W. Kim, K. Y. Cho, and B. M. Han, "Active damping of LCL filter for three-phase PWM inverter without additional hardware sensors," Trans. KIPE, Vol. 18, No. 1, pp. 10-17, Feb. 2013.

5.
D. E. Kim, D. C. Lee, and H. G. Kim, "Feedback linearization control of PWM converters with LCL input filters," Trans. KIPE, Vol. 13, No. 1, pp. 55-62, Feb. 2008.

6.
E. Twining and D. G. Holmes, "Grid current regulation of a three-phase voltage source inverter with an LCL input filter," IEEE Trans. Power Electron., Vol. 18, No. 3, pp. 888-895, May. 2003.

7.
R. P. Alzola, M. Liserre, F. Blaabjerg, M. Ordonesz, and T. Kerekes, "A self-commissioning notch filter for active damping in a three-phase LCL-filter-based grid-tie converter," IEEE Trans. Power Electron., Vol. 29, No. 12, pp. 6754-6761, Dec. 2014. crossref(new window)

8.
R. P. Alzola, M. Liserre, F. Blaabjerg, M. Ordonesz, and Y. Yang, "LCL-filter design for robust active damping in grid-connected converters,", IEEE Trans. Ind. Inform., Vol. 10, No. 4, pp. 2192-2203, Nov. 2014. crossref(new window)

9.
S. G. Parker, B. P. McGrath, and D. G. Holmes, "Regions of active damping control for LCL filters," IEEE Trans. Ind. Appl., Vol. 50, No. 1, pp. 424-432, Jan./Feb. 2014. crossref(new window)