Hybrid approach to FACTS devices allocation using multi-objective function with NSPSO and NSGA-II algorithms in Fuzzy framework

• FACTS allocation problem introduced as a multi-objective optimization problem.
• Introducing two hybrid approaches based on NSPSO and NSGA-II algorithm.
• Utilizing a hybrid algorithm and Fuzzy logic for solving FACTS allocation problem.
• Considering technical and economic aspects in optimization.
• Using active power loss, L index and voltage deviation as objects of optimization.

FACTS allocation and assessing its optimal capacity and their undeniable role on improvement of system’s operation is one of most discussed themes in planning and exploitation of the power system. According to the importance of the objects such as power loss reduction, increase of the stability margin, voltage profile improvement and also, less cost imposition need to establish a partial balance between these several goals, FACTS allocation problem introduced as a multi-objective optimization problem. It postulates that the attainment of those registered goals simultaneously, implicates the utilization of the multi-objective optimization methods and finally reaches the Pareto optimal sets. Because of the achievement of this important object, two hybrid approaches based on NSPSO and NSGA-II algorithm and Fuzzy logic is presented in this paper that is able to present the Pareto optimal sets meanwhile to attend the technical and economic aspects. In this work, the problem’s formulation and its analysis is described and finally the efficiency of these approaches in IEEE 14-bus and 30-bus test systems is analyzed.