Oscillation contamination in short-term voltage-stability estimation

Develop a systematic, parameter-free solution to contamination of Lyapunov-exponent estimates by damped oscillations in short-term voltage-stability monitoring, particularly for mixed-mode oscillations.

Background

Finite-time Lyapunov-exponent estimates for short-term voltage stability can be spuriously affected by damped oscillations that are stable but increase the measured divergence rate. The paper reviews phase-correction and Koopman-preprocessing approaches, but reports that neither fully resolves the issue and that no systematic parameter-free method exists for mixed-mode oscillations.

References

Despite the substantial progress reviewed above, several critical gaps and open problems remain. (1) Oscillation contamination in STVS. The phase-correction approaches of [29] and the Koopman-preprocessing of [87], [88] reduce but do not fully resolve the problem of LLE contamination by damped oscillations. No systematic, parameter-free solution exists, particularly for mixed-mode oscillations.

— Lyapunov Exponents in Power Systems: A Survey of Theory and Applications in Stability, Control, Forecasting, and Protection  (2610.23809 - Almomani et al., 16 Oct 2026) in Section III-K, p. 13