Linear Voltage Stability Indicator (LVSI) for Optimal Placement of SVC Devices to Improve the Voltage Stability Margin in Transmission Systems

Abstract

This study presents a procedure for placing static var compensators (SVC) in an EPS using the fuzzy c-means clustering technique. For this purpose, the optimal power flow (OPF) is initially quantified to obtain the sensitivity array of the system based on the Jacobian of the system. Then, the attenuation and electrical distance matrices are estimated. Subsequently, the fuzzy c-means clustering algorithm is used with the initially estimated cluster identification criterion to obtain the voltage control areas (VCAs). On the other hand, the criterion of minimizing the installation costs of the SVCs is used in conjunction with the linear voltage stability index (LVSI) for the ideal arrangement of the compensators. This is applied to each VCA created. The technique described is applied to the 14-node and 30-node schemes to check their effectiveness. Additionally, the results obtained are compared with the Power Factory software and with similar studies. Finally, the proposed technique proves to be effective for the creation of VCAs and for the optimal placement of SVC equipment.