Optimal size and location of fault current limiter incorporating uncertainty of wind power

Nowadays, due to the rising price of fossil energy sources, use of distributed generation with renewable energy sources is rising. In distribution networks, fault current level is increased with the installation of these units. Therefore, it tends to miscoordination between directional overcurrent relays. In this paper, superconducting fault current limiter (SFCL) is used to solving these problems. Multiple criteria such as the total operating time of the relays, fault current reduction and the minimum size of SFCLs are simultaneously considered in order to determine the optimal placement and the size of SFCLs. Moreover, uncertainty in output power for DGs is incorporated. Autoregressive moving average (ARMA) model is used for the modeling of wind speed. Unlike the traditional optimization methods, none dominated sorting genetic algorithm (NSGA-II) multi-objective optimization algorithm is used, in this paper. Finally, the proposed method is carried out on distribution part of IEEE 30-bus test system to demonstrate the effectiveness of the method.