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. 2025 Dec 14;16:2460. doi: 10.1038/s41598-025-32279-1

Table 1.

Stability analysis methods.

Method Focus Strength Limitation Role in R-EAPC
Small-signal Eigenvalue shifts Quick insight into damping Linearized; local only Shows improved damping under R-EAPC
Frequency-domain Bode/Nyquist plots Reveals stability margins Ignores nonlinear effects Confirms sufficient control bandwidth
CPF (continuation power flow) Loadability curves Captures voltage stability margin Computationally heavy Demonstrates feeder margin extension
Lyapunov Global stability Rigorous theoretical proof Requires assumptions Ensures overall stability guarantee