Probabilistic Multi-objective Framework for Multiple Active Power Filters Planning

In the real-world electrical distribution networks, entering of the non-linear loads, as main sources of harmonic generator, has probabilistic nature. In this paper, with a new point of view, a multi-objective framework is developed for multiple active power filters (APFs) with taking probabilistic features of non-linear loads into account. In the proposed probabilistic multi-objective framework, total harmonic distortion of voltage (THDV), motor load loss function, harmonic transmission line loss, and total APFs current are the four objectives considered in the optimization problem. At the same time, individual and THDV, and maximum allowable size of the APFs are modeled as constraints with predetermined admissible levels. The newly developed framework is a non-convex non-linear mixed-integer optimization problem. Hence, a new hybrid of melody search algorithm and augmented Powell heuristic method is employed and followed by a fuzzy satisfying method to obtain the final optimal solution. The feasibility and effectiveness of the offered framework has been implemented on the IEEE 18-bus distribution test system and IEEE 30-bus distribution test system. The obtained results show the profitableness of the newly developed framework in the APFs planning.