期刊
IEEE JOURNAL OF EMERGING AND SELECTED TOPICS IN POWER ELECTRONICS
卷 10, 期 3, 页码 2699-2709出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JESTPE.2021.3057639
关键词
Power system stability; Stability criteria; Phase locked loops; Circuit stability; Indexes; Transient analysis; Lyapunov methods; Domain of attraction; Lyapunov's stability theorem; nonlinear modeling; phase-locked loop (PLL); stability; voltage-source converter (VSC); weak grid
资金
- Australian Renewable Energy Agency (ARENA) Advanced Renewables Program (ARP)
- Swiss Federal Commission for Innovation and Technology within the Swiss Competence Center for Energy Research-FUtuRe SwIss Electrical InfraStructure (SCCERFURIES)
In this article, the transient stability conditions for a grid-following voltage-source converter (VSC) are found using Lyapunov's stability theorem. A new stability analysis method and system strength index are proposed. The correctness of the proposed method is validated through simulation and experiment.
In this article, using Lyapunov's stability theorem, the transient stability conditions for a grid-following voltage-source converter (VSC) are found. These conditions take into account both the grid specifications and the VSC's dynamics. The derived conditions are based on a well-known nonlinear model of the VSC's phase-locked loop. To evaluate the stability of the nonlinear system, Lyapunov's direct method is employed. To this end, a new Lyapunov's function is proposed, and its characteristics are analyzed. Using this Lyapunov's function, the domain of attraction of the system's equilibrium point is calculated. In addition, a novel system strength index based on the domain of attraction of the system is proposed. The privileges of this index over the conventional indices are absoluteness, VSC's dynamics consideration, and comparability of different VSCs with each other from a stability point of view. In the end, the correctness of the proposed stability analysis is validated via simulation in MATLAB/PLECS and experiment.
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