Probabilistic Analysis of Converter-Driven Stability of Power Systems Based on Generalized Polynomial Chaos Expansion

Most existing studies on probabilistic analysis of power systems focus on traditional stability issues, and there is a research gap in converter-driven stability (CDS), which needs to be investigated, due to the high penetration of renewables and power electronics in power systems. Thus, this paper proposes a method for probabilistic analysis of CDS (PACDS) based on generalized polynomial chaos expansion (GPCE). Firstly, the CDS issue induced by the modal interaction between the converter-interfaced generation and the rest of the power system is described. Secondly, uncertainties are modeled, and the relationship between CDS indices and uncertainties is approximated by GPCE. Finally, the comprehensive PACDS is conducted based on GPCE, including the calculation of CDS probability distribution and risk assessment matrix, as well as the identification of risk areas and uncertainties with major impacts. The effectiveness of the proposed method is verified in the modified New England power system integrated with wind power generations.