Power System Transient Stability Analysis Using Truncated Taylor Expansion Systems
For power system engineers, this work offers a potential method to improve stability analysis by incorporating higher-order nonlinearities, though it is incremental as it builds on existing TTE approaches.
This paper investigates the accuracy of transient stability analysis using truncated Taylor expansion (TTE) systems at higher orders compared to the original system, finding that TTE systems can provide accurate results for power system stability analysis, validated through analytical studies on a single-machine-infinite-bus system and numerical simulations on two multi-machine systems.
Small signal analysis is a special case of analytical approaches using Taylor expansions of power system differential equations with the truncation performed at order one. The truncated Taylor expansions (TTEs) at higher orders can lead to better 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 TTE systems compared to that on the original system. The analytical investigation is conducted on single-machine-infinite-bus power systems. Conclusions are drawn from there and verified on two multi-machine power systems by extensive numerical simulations.