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Global Stability Analysis or Synchronous Reference Frame Phase-Locked Loops
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DOI：10.1109/TIE.2021.3125655.png)
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Abstract
En 中文
This article analyzes the global stability of synchronous reference frame phase-locked loops (SRF-PLLs) from a large signal viewpoint. First, a large-signal model of SRF-PLL is accurately established, without applying any linearization method. Then, according to the phase portrait and Lyapunov argument, the global performance of SRF-PLL is discussed in the nonlinear frame. Compared with the small-signal analysis methods, the proposed analysis, not relying on the small-signal model and linearization method, provides a global discussion of the SRF-PLL performance. The contributions of this article are as follows. First, it is found that SRF-PLL has infinite equilibrium points, including stable points and saddle points. Second, it provides a way to divide the global region of SRF-PLL into many small regions. In each small region, the SRF-PLL only has one stable equilibrium point. And for any initial states ((theta) over tilde (t(0)), (omega) over tilde (t(0))) in a small region, all states ((theta) over tilde (t), (omega) over tilde (t)), t > t(0) will remain in this small region, and SRF-PLL will converge to the unique stable equilibrium point of this small region. Third, by dividing the global region of SRF-PLL into many small regions, it is found that when the frequency of grids varies largely, the SRF-PLL will converge to a new equilibrium point that is far away from the original equilibrium point. It is the reason why the frequency convergence of SRF-PLL has many oscillations and SRF-PLL has a rather slow dynamic, when the frequency changes largely. The experimental results are provided to verify the proposed global stability analysis of SRF-PLL.
Keywords:
Global stability analysis
grid synchronization
large-signal model
phase-locked loop
synchronous reference frame
Journal
IF:
7.2
Papers:
1.8W
Citations:
9.8W
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