Multi-cluster based equilibrium optimizer algorithm with compact approach for power system network

Optimal allocation of distributed generation (DG) focuses on optimal location and sizing of DGs for promoting energy conversion efficiency and quality in the power distribution system. Nowadays, the loss minimization goal has received significant attention since it gains enormous benefits between economic and environmental fields. In this paper, the sensitivity factor method is used to determine the optimal DG positions, which reduces the search space by finding the best locations. This paper first introduces a compact technology based on the equilibrium optimizer (EO) algorithm. The compact equilibrium optimizer (cEO) algorithm has a considerable advantage in reducing the memory space of the potential bus selection. Then this paper implements and optimizes the cEO algorithm by the method of update interval. The value of an optimal interval is selected to promote the maximum contribution of the equilibrium pool update. According to the characteristics of the equilibrium pool, two kinds of parallel compact algorithms, public parallel compact EO (public pcEO) and private parallel compact EO (private pcEO) algorithm with different structures, are proposed. Compared with other algorithms, public pcEO has achieved excellent performance with less memory space. The proposed algorithms are tested on CEC 2014 functions. By comparing with other basic algorithms, the experimental results showed that two parallel compact algorithms could obtain competitive results and avoid getting into the optimal local solution. Then two proposed parallel algorithms are tested compared with some general algorithms to gain the most suitable sizing of DGs in those selected potential locations and gained great results.