Paper Title
Development of a Novel Algorithm to Improve the Small-Signal Voltage Stability for a Power System

Abstract
The voltage stability is important in a power system. A lack of reactive power in a power system could cause voltage collapse. This problem can be solved by using a shunt FACTS device as a Static Synchronous Compensator (STATCOM). This study uses a STATCOM to increase the voltage-margining for a PQ bus. The position and capacity of a STATCOM must be optimized to decrease cost and increase voltage margining for some weaker buses. A novel optimized algorithm for alternating GAPSO and PSODE, called AGPD, is developed to determine the optimal positions and capacities for STATCOMs under various operating conditions. The AGPD algorithm is used to optimize the STATCOM controller’s parameters to increase the stability of a small signal stability for a power system. A 16-unit, 68-bus power system with and without STATCOMs is used to determine the performance of the proposed method. PSODE, GAPSO, HDE, DE, GA, and PSO algorithms are compared with the proposed method, in terms of the optimized performance. The results for a time domain simulation show that the proposed method increases the voltage stability margin for PQ buses and reduces oscillation in the power system that is subjected to a disturbance, compared to other algorithms. Keywords - Voltage Stability, Continuation Power Flow, Differential Evolution, Particle Swarm Optimization, Static Synchronous Compensator