Applications of MATLAB Symbolic and Optimization Toolboxes in Static Voltage Stability in Power Systems

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 technique in static voltage stability study. Flexible AC Transmission System devices including SVC, TCSC, STATCOM, SSSC and UPFC are used to validate the proposed technique. Various voltage stability parameters including PV curves, loading margin and simulation times are investigated. 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.