Improved Transient Modeling and Stability Analysis for Grid-Following Wind Turbine: Third-Order Sequence Mapping EAC

• Published in: IEEE transactions on power delivery 2024-08, Vol.39 (4), p.2015-2027
• Main Authors: Li, Ruibo, Yan, Xiangwu, Wang, Yanbo, Zhang, Qi, Chen, Zhe
• Format: Article
• Language: English
• Subjects: Active control; Control stability; Damping; Equal area criterion; Exact solutions; Induction generators; Mapping; Nonlinearity; Numerical stability; Phase locked loops; phase-locked loop; Power control; Power system stability; sequence mapping; Stability analysis; Stability criteria; System effectiveness; third-order; Trajectory analysis; Transient analysis; Transient stability; Wind power; Wind turbines
• ISSN: 0885-8977; 1937-4208
• DOI: 10.1109/TPWRD.2024.3355901

The increasing penetration of wind power leads to diverse stability issues, which present more extreme fluctuation and nonlinearity, especially under a weak grid. For the nonlinear transient process, it is particularly complex to estimate since no analytical solution can be found in math. To determine the transient stability of the grid-following (GFL) wind turbine, this article develops a third-order transient model of the GFL-doubly fed induction generator, which consists of a second-order phase-locked loop model and a first-order active power control model. Then, a motion discretization equal area criterion (MD-EAC) method is proposed to estimate the damping effect in the second-order system, which could enhance transient trajectory accuracy and improve stable region reliability. Based on MD-EAC, a power angle to time sequence mapping EAC (SM-EAC) method is proposed to perform the stability analysis in third-order systems with active power control. Finally, numerical simulation results are given to validate the effectiveness of the proposed MD-EAC and SM-EAC under various scenarios. And the mechanism of multi-swing stability is analyzed by numerical simulation and SM-EAC.