Power System Transient Stability Analysis Using High-Order Taylor Expansion Systems

Small signal analysis is a special case of analytical approaches using 1st-order Taylor expansion of power system differential equations. High-order Taylor expansions (TEs) can lead to better analytical approaches for stability analysis by considering higher-order nonlinearities, e.g. normal form, modal series and nonlinear modal decoupling. This paper presents fundamental studies on how accurate transient stability analysis results can be obtained from the high-order TEs compared to that based on the original system. Analytical investigations are conducted on single-machine-infinite-bus power systems. Observations are summarized from there and verified on two multi-machine power systems by extensive simulations.