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This paper proposes an adaptive sparse polynomial chaos expansion(PCE)-basedmethod to quantify the impacts of uncertainties on critical clearing time (CCT)that is an important index in transient stability analysis. The proposed methodcan not only give fast and accurate estimations for the probabilisticcharacteristics (e.g., mean, variance, probability density function) of theprobabilistic CCT (PCCT), but also provides crucial information about thesensitivity of random inputs with respect to the variance of PCCT. Utilizingthe sensitivity information, mitigation measures can be developed for transientstability enhancement. Numerical studies on the WSCC 9-bus system demonstratethe high accuracy and efficiency of the proposed method compared to the MonteCarlo simulation method. The provided sensitivity information and theeffectiveness of mitigation measures in transient stability enhancement arealso verified.

A Sparse Polynomial Chaos Expansion-Based Method for Probabilistic Transient Stability Assessment and Enhancement