A Fast Technique of Voltage Stability Analysis and Optimization in the Grid Network

The relative positions of the bus voltage phasors in the voltage space of a system depend on the characteristics of and the power flow in, the transmission network. When the voltage space of the system is examined with respect to the "centroid" of the system voltage space, it is possible to identify the loadability of buses and rank them accordingly. A technique based on concepts applied to equilibrium analysis of rigid bodies is developed to determine the centroid voltage of the system voltage space and centroid voltage of the generator voltage space. The relative positions of the bus voltage phasors with respect to the centroid voltage of the system voltage space and centroid voltage of the generator voltage space are used to identify and compute a voltage stability index for the load buses in the system. The developed index [C2] is optimized using particle swarm optimization (PSO) and differential evolution algorithm (DE). The algorithm minimizes the voltage stability index of all the load buses to improve the static voltage stability margin.