TITLE:
Modeling and Analysis of an Airport Electrical System Using the Lyapunov Method
AUTHORS:
Anthony Bassesuka Sandoka Nzao, Benjamin Ndubu Khonde
KEYWORDS:
Modeling, Analysis, Stability, Operational Reliability, Airport Electrical Systems (DES), Lyapunov Method, Candidate Function, Distributed Energy Sources, 2D and 3D Simulations
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.16 No.5,
May
12,
2026
ABSTRACT: This article offers a critical analysis of the application of the direct Lyapunov method to evaluate the transient stability of airport power systems, characterized by their complexity and the criticality of their loads, such as navigation systems, lighting, etc. In light of the increasing integration of distributed energy sources, this study addresses the major challenges related to operational reliability. While the theoretical Lyapunov approach provides rigorous asymptotic stability without resorting to tedious step-by-step integrations, its practical implementation requires precise dynamic modeling. Through rigorous modeling and the analysis of Lyapunov candidate functions, 2D and 3D numerical simulations confirm the consistency of the models and demonstrate the robustness of the approach by establishing sufficient stability conditions. The results validate the performance of the computational tools used to ensure the security of the airport power supply.