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

Xiao-Qiang Li; Xiao-Jie Wu; Yi-Wen Geng; Qi Zhang

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

Vol. 13, No. 5, pp. 896-908, Sep. 2013

10.6113/JPE.2013.13.5.896

d-d channel output impedance

Grid impedance

Grid-connected inverter

LCL filter

Stability

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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.

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Cite this article

[IEEE Style]

X. Li, X. Wu, Y. Geng, Q. Zhang, "Stability Analysis of Grid-Connected Inverters with an LCL Filter Considering Grid Impedance," Journal of Power Electronics, vol. 13, no. 5, pp. 896-908, 2013. DOI: 10.6113/JPE.2013.13.5.896.

[ACM Style]

Xiao-Qiang Li, Xiao-Jie Wu, Yi-Wen Geng, and Qi Zhang. 2013. Stability Analysis of Grid-Connected Inverters with an LCL Filter Considering Grid Impedance. Journal of Power Electronics, 13, 5, (2013), 896-908. DOI: 10.6113/JPE.2013.13.5.896.