Optimal placement of switches and distributed generation resources in order to increase operating indices in the electricity distribution network using fuzzy membership functions

Reconfiguration and installation of distributed generation sources are some of the methods used to reduce losses, improve voltage stability and increase reliability in power distribution networks. Finding the switches that should definitely participate in the reconfiguration program and determining their status at each stage of the reconfiguration is one of the most important goals in the optimal operation of the network. This paper examines the optimal placement of distribution network switches and distributed generation sources in order to improve reliability, reduce losses and improve voltage stability and thus increase network load. In this paper, in order to improve the voltage stability, in comparison with the maximum load index known as (λmax), another index called singular values of Jacobin matrix is introduced and the efficiency of the two is compared. Also, in order to reduce the heavy reliability calculations observed in the Monte Carlo method, the minimum cut set method and the probabilistic model have been used to model the elements of the distribution system at load points. Distributed generation sources with random and variable nature and system loads hourly and with the triple nature of residential, commercial and industrial are considered. Due to the multiple objective functions, the NSGA2 multi-objective optimization algorithm is used to optimize the objective functions and the fuzzy function membership method is used to determine the optimal answer. The simulation results are performed on the 33-bus IEEE distribution network and the efficiency, accuracy and possible weaknesses of the proposed method are shown.