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As the proportion of converter-interfaced renewable energy resources in thepower system is increasing, the strength of the power grid at the connectionpoint of wind turbine generators (WTGs) is gradually weakening. Existingresearch has shown that when connected with the weak grid, the dynamiccharacteristics of the traditional grid-following controlled converters willdeteriorate, and unstable phenomena such as oscillation are prone to arise. Dueto the limitations of linear analysis that can not sufficiently capture thestability phenomena, transient stability must also be investigated. So far,standalone time-domain simulations or analytical Lyapunov stability criteriahave been used to investigate transient stability. However, time-domainsimulations have proven to be computationally too heavy, while analyticalmethods are more complex to formulate, require many assumptions, and areconservative. This paper demonstrates an innovative approach to estimating thesystem boundaries via hybrid - linearised Lyapunov function-based approach andthe time-reversal technique. The proposed methodology enables compensation forboth time-consuming simulations and the conservative nature of Lyapunovfunctions. This work brings out the clear distinction between the systemboundaries with different post-fault active current ramp rate controls. At thesame time providing a new perspective on critical clearing times for windturbine systems. Finally, the stability boundary is verified using time domainsimulation studies.

Transient Stability Analysis of Grid-Connected Converters Based on Reverse-Time Trajectory