Generally, the Flexible AC Transmission System (FACTS) devices are recognized as capable solutions to gather the increased demand and to balance with the restructured transmission systems. Nevertheless, to attain the objective at a sensible cost, the optimal sizing and positioning of the FACTS devices can lead the system. In this paper, an Adaptive Moth Flame Optimization algorithm (A-MFOA) is developed to decide the optimal location and compensation level for the FACTS device. Moreover, this article subjects to the Particle Swarm Optimization (PSO) and, Bacterial Swarm Optimization (BSO) and Evolutionary Algorithm (EA) to precise simulation analysis to make sure fair comparison among the methods on FACTS sizing and localization. Additionally, this article is simulated on MATLAB 2018a. Finally, three benchmark bus systems, like IEEE 24 RTS, IEEE 30 and IEEE 57 bus systems are exploited to recognize the performance of the methods and sufficient statistical analysis is performed on the experimental outcomes.
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