Static voltage stability study using MATLAB symbolic and optimization toolboxes

This paper presents a simple simulation approach to study static voltage stability in power systems. Symbolic and Optimization toolboxes in MATLAB are used to simulate load flow, continuation power flow and optimization techniques to easily assess and understand static voltage stability of power systems. P-V curves are constructed to calculate loadability margins. These margins are verified with the help of direct optimization method. Time taken to calculate various outputs are also tabulated to given an idea about computational effort involved in the proposed approach. Three-bus and IEEE fourteen-bus test systems are used to demonstrate the proposed technique. The proposed approach may be of interest to utilities and researchers who wish to study voltage stability of medium size power systems in a simple way