Summary
Penetration of distributed generations in distribution networks (active distribution networks) has resulted in some problems such as change in short circuit level and direction of fault current flow. Such conditions may cause some relays to malfunction. In this paper, a method for coordinating directional overcurrent relays in active distribution networks taking uncertainties into consideration is proposed. These uncertainties include changes in operation conditions, changes in fault conditions, error in measuring equipment, and outage of distributed generations. Therefore, an optimization frame with new variables is presented, which can be used to create different characteristic curves. Taking uncertainties into account causes the number of constraints to increase and the problem of coordination of directional overcurrent relays to become more complicated. Thus, a two‐step approach is used to solve this problem. In the first step, an algorithm is used to form the constraints of the problem, then, in the second step, a hybrid optimization algorithm consisting of the cuckoo search algorithm and linear programming is proposed. The simulation results for active radial and meshed distribution networks are presented to demonstrate the effectiveness of the proposed approach.