On Absolute Stability of Open-Loop Synchronized Single-Phase Grid-Following Inverters

This article is concerned with the strict stability problem for grid-following inverters subject to synchronous nonlinearity and large transient disturbances. Firstly, considering that the complex nonlinear structure of the conventional phase-locked loop (PLL)-based grid synchronization scheme may d...

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Bibliographic Details
Published inIEEE transactions on industrial electronics (1982) Vol. 70; no. 10; pp. 1 - 10
Main Authors Cheng, Cheng, Xie, Shaojun, Qian, Qiang, Xu, Jinming
Format Journal Article
LanguageEnglish
Published New York IEEE 01.10.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
absolute stability
Circle criterion
Grid-following inverters
Impedance
Inverters
Nonlinear analysis
Nonlinearity
Phase locked loops
Power control
Power system stability
sector-bounded
Stability analysis
Stability criteria
Synchronism
Synchronization
Systems stability
Transient analysis
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Summary:This article is concerned with the strict stability problem for grid-following inverters subject to synchronous nonlinearity and large transient disturbances. Firstly, considering that the complex nonlinear structure of the conventional phase-locked loop (PLL)-based grid synchronization scheme may difficult to match the existing intuitive nonlinear analysis methods, a simplified open-loop grid synchronizer is developed for the grid-following control. Subsequently, the sector-bounded condition of the system nonlinear factor is derived by setting the grid voltage and power control variation intervals, and the frequency-domain conditions for absolutely stable are further obtained with the help of the circle criterion. The derived conditions illustrate that the stability assessment is intuitive, because it is only necessary to observe the graphical position of the disk <inline-formula><tex-math notation="LaTeX">d(-\psi,-\phi)</tex-math></inline-formula> with respect to the Nyquist curve of <inline-formula><tex-math notation="LaTeX">-\Omega _{\alpha }(s)</tex-math></inline-formula>. Finally, the effects of weak grid and power control variations on system stability are further analyzed, and the effectiveness of the proposed theories is fully supported by transient experimental results.
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content type line 14
ISSN:0278-0046
1557-9948
DOI:10.1109/TIE.2022.3217617