Stability (learning theory)

Electrical engineering

Physics

Phase-locked loop

Channel (broadcasting)

Nonlinear system

Mathematics

Voltage source

Machine learning

Engineering

Jitter

Voltage

Artificial intelligence

Control (management)

Grid

Geometry

Converters

Synchronization (alternating current)

Computer science

Quantum mechanics

Control theory (sociology)

Lyapunov function

Telecommunications

IEEE Transactions on Power Systems

Grid-synchronization stability (GSS) is an emerging stability issue of grid-tied voltage source converters (VSCs), which can be provoked by severe grid voltage sags. Although a qualitative understanding of the mechanism behind the loss of synchronization has been acquired in recent studies, an analytical method for quantitative assessment of GSS of grid-tied VSCs is still missing. To bridge this gap, a dedicated Lyapunov function is analytically proposed, and its corresponding stability criterion for GSS analysis of grid-tied VSCs is rigorously constructed. Both theoretical analysis and simulation result demonstrate that the proposed method can provide a credible GSS evaluation compared to the previous EAC/EF-based method. Therefore, it can be applied for fast GSS evaluation of the grid-tied VSCs as is exemplified in this letter, as well as an analytical tool for some GSS-related issues, e.g., GSS-oriented parameter design and stabilization control.

Large-Signal Grid-Synchronization Stability Analysis of PLL-Based VSCs Using Lyapunov's Direct Method