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Preliminary notes This paper presents a study based on the variable gradient method for the construction of a Lyapunov (energy) function. The single-machine infinite-bus (SMIB) power system with and without static VAR compensator (SVC) is considered. Voltage stability analysis is studied on both power systems. The performance of SVC on voltage stability of the system is shown and numerical simulations are compared with each other. Additionally, it is demonstrated that the stored energy density is an indicator of the closeness of the operating point to the instability region of the system. The simulation results for the studied models are obtained by using MATHCAD software.

Voltage stability analysis based on energy function of an electrical power system with and without SVC